Properties

Label 503.2.c.a.2.8
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 2.8
Character \(\chi\) \(=\) 503.2
Dual form 503.2.c.a.252.8

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.31051 - 1.61352i) q^{2} +(-0.0751196 + 0.0650167i) q^{3} +(-0.475908 + 2.27157i) q^{4} +(-1.09154 - 3.44730i) q^{5} +(0.203351 + 0.0360021i) q^{6} +(-1.53778 + 4.46504i) q^{7} +(0.592995 - 0.305425i) q^{8} +(-0.428907 + 2.95921i) q^{9} +O(q^{10})\) \(q+(-1.31051 - 1.61352i) q^{2} +(-0.0751196 + 0.0650167i) q^{3} +(-0.475908 + 2.27157i) q^{4} +(-1.09154 - 3.44730i) q^{5} +(0.203351 + 0.0360021i) q^{6} +(-1.53778 + 4.46504i) q^{7} +(0.592995 - 0.305425i) q^{8} +(-0.428907 + 2.95921i) q^{9} +(-4.13181 + 6.27895i) q^{10} +(2.37064 - 0.766988i) q^{11} +(-0.111940 - 0.201582i) q^{12} +(1.74765 - 0.589692i) q^{13} +(9.21972 - 3.37023i) q^{14} +(0.306128 + 0.187991i) q^{15} +(2.98150 + 1.30664i) q^{16} +(4.26130 + 2.12775i) q^{17} +(5.33684 - 3.18602i) q^{18} +(-1.60335 - 3.59714i) q^{19} +(8.35027 - 0.838921i) q^{20} +(-0.174784 - 0.435394i) q^{21} +(-4.34430 - 2.81993i) q^{22} +(-1.56627 + 5.41389i) q^{23} +(-0.0246878 + 0.0614980i) q^{24} +(-6.60363 + 4.64790i) q^{25} +(-3.24179 - 2.04707i) q^{26} +(-0.320886 - 0.501187i) q^{27} +(-9.41082 - 5.61814i) q^{28} +(0.186631 - 1.56218i) q^{29} +(-0.0978563 - 0.740309i) q^{30} +(0.313942 + 3.85035i) q^{31} +(-2.15368 - 7.80912i) q^{32} +(-0.128214 + 0.211747i) q^{33} +(-2.15130 - 9.66413i) q^{34} +(17.0709 + 0.427418i) q^{35} +(-6.51794 - 2.38261i) q^{36} +(2.99947 + 3.78893i) q^{37} +(-3.70286 + 7.30113i) q^{38} +(-0.0929429 + 0.157924i) q^{39} +(-1.70017 - 1.71084i) q^{40} +(1.82147 - 9.27080i) q^{41} +(-0.473460 + 0.852606i) q^{42} +(-1.04780 + 5.70990i) q^{43} +(0.614063 + 5.75010i) q^{44} +(10.6694 - 1.75153i) q^{45} +(10.7881 - 4.56775i) q^{46} +(12.4531 - 0.467819i) q^{47} +(-0.308922 + 0.0956933i) q^{48} +(-12.0563 - 9.42213i) q^{49} +(16.1536 + 4.56398i) q^{50} +(-0.458446 + 0.117220i) q^{51} +(0.507807 + 4.25055i) q^{52} +(-2.56156 + 5.74690i) q^{53} +(-0.388152 + 1.17457i) q^{54} +(-5.23169 - 7.33510i) q^{55} +(0.451839 + 3.11742i) q^{56} +(0.354317 + 0.165971i) q^{57} +(-2.76519 + 1.74612i) q^{58} +(-4.11320 + 9.88636i) q^{59} +(-0.572725 + 0.605926i) q^{60} +(-2.85650 - 4.71752i) q^{61} +(5.80120 - 5.55248i) q^{62} +(-12.5534 - 6.46571i) q^{63} +(-5.99729 + 8.40851i) q^{64} +(-3.94048 - 5.38099i) q^{65} +(0.509685 - 0.0706198i) q^{66} +(11.5012 - 7.06282i) q^{67} +(-6.86133 + 8.66723i) q^{68} +(-0.234336 - 0.508523i) q^{69} +(-21.6819 - 28.1044i) q^{70} +(0.862546 + 5.46805i) q^{71} +(0.649478 + 1.88579i) q^{72} +(11.7773 + 11.2723i) q^{73} +(2.18269 - 9.80513i) q^{74} +(0.193871 - 0.778495i) q^{75} +(8.93422 - 1.93022i) q^{76} +(-0.220897 + 11.7645i) q^{77} +(0.376616 - 0.0569953i) q^{78} +(0.756359 + 13.4147i) q^{79} +(1.24993 - 11.7044i) q^{80} +(-8.54456 - 2.53005i) q^{81} +(-17.3457 + 9.21049i) q^{82} +(3.13270 + 5.98987i) q^{83} +(1.07221 - 0.189828i) q^{84} +(2.68360 - 17.0125i) q^{85} +(10.5862 - 5.79224i) q^{86} +(0.0875481 + 0.129484i) q^{87} +(1.17152 - 1.17887i) q^{88} +(-0.00455716 - 0.0173694i) q^{89} +(-16.8085 - 14.9200i) q^{90} +(-0.0545101 + 8.71014i) q^{91} +(-11.5527 - 6.13442i) q^{92} +(-0.273920 - 0.268825i) q^{93} +(-17.0747 - 19.4802i) q^{94} +(-10.6503 + 9.45365i) q^{95} +(0.669506 + 0.446593i) q^{96} +(0.905545 + 3.84062i) q^{97} +(0.597116 + 31.8010i) q^{98} +(1.25289 + 7.34418i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.31051 1.61352i −0.926671 1.14093i −0.989734 0.142923i \(-0.954350\pi\)
0.0630631 0.998010i \(-0.479913\pi\)
\(3\) −0.0751196 + 0.0650167i −0.0433703 + 0.0375374i −0.675847 0.737042i \(-0.736222\pi\)
0.632476 + 0.774580i \(0.282039\pi\)
\(4\) −0.475908 + 2.27157i −0.237954 + 1.13579i
\(5\) −1.09154 3.44730i −0.488153 1.54168i −0.805043 0.593216i \(-0.797858\pi\)
0.316891 0.948462i \(-0.397361\pi\)
\(6\) 0.203351 + 0.0360021i 0.0830176 + 0.0146978i
\(7\) −1.53778 + 4.46504i −0.581228 + 1.68763i 0.135933 + 0.990718i \(0.456597\pi\)
−0.717160 + 0.696908i \(0.754558\pi\)
\(8\) 0.592995 0.305425i 0.209655 0.107984i
\(9\) −0.428907 + 2.95921i −0.142969 + 0.986403i
\(10\) −4.13181 + 6.27895i −1.30659 + 1.98558i
\(11\) 2.37064 0.766988i 0.714774 0.231256i 0.0721027 0.997397i \(-0.477029\pi\)
0.642672 + 0.766142i \(0.277826\pi\)
\(12\) −0.111940 0.201582i −0.0323143 0.0581916i
\(13\) 1.74765 0.589692i 0.484711 0.163551i −0.0667200 0.997772i \(-0.521253\pi\)
0.551431 + 0.834221i \(0.314082\pi\)
\(14\) 9.21972 3.37023i 2.46407 0.900732i
\(15\) 0.306128 + 0.187991i 0.0790419 + 0.0485391i
\(16\) 2.98150 + 1.30664i 0.745375 + 0.326659i
\(17\) 4.26130 + 2.12775i 1.03352 + 0.516055i 0.881431 0.472312i \(-0.156581\pi\)
0.152085 + 0.988367i \(0.451401\pi\)
\(18\) 5.33684 3.18602i 1.25790 0.750953i
\(19\) −1.60335 3.59714i −0.367834 0.825241i −0.998778 0.0494132i \(-0.984265\pi\)
0.630945 0.775828i \(-0.282667\pi\)
\(20\) 8.35027 0.838921i 1.86718 0.187589i
\(21\) −0.174784 0.435394i −0.0381411 0.0950107i
\(22\) −4.34430 2.81993i −0.926208 0.601212i
\(23\) −1.56627 + 5.41389i −0.326590 + 1.12887i 0.613993 + 0.789311i \(0.289562\pi\)
−0.940583 + 0.339563i \(0.889721\pi\)
\(24\) −0.0246878 + 0.0614980i −0.00503937 + 0.0125532i
\(25\) −6.60363 + 4.64790i −1.32073 + 0.929580i
\(26\) −3.24179 2.04707i −0.635768 0.401464i
\(27\) −0.320886 0.501187i −0.0617545 0.0964535i
\(28\) −9.41082 5.61814i −1.77848 1.06173i
\(29\) 0.186631 1.56218i 0.0346565 0.290089i −0.964960 0.262397i \(-0.915487\pi\)
0.999616 0.0276922i \(-0.00881584\pi\)
\(30\) −0.0978563 0.740309i −0.0178660 0.135161i
\(31\) 0.313942 + 3.85035i 0.0563857 + 0.691544i 0.962986 + 0.269553i \(0.0868758\pi\)
−0.906600 + 0.421991i \(0.861331\pi\)
\(32\) −2.15368 7.80912i −0.380720 1.38047i
\(33\) −0.128214 + 0.211747i −0.0223193 + 0.0368604i
\(34\) −2.15130 9.66413i −0.368945 1.65739i
\(35\) 17.0709 + 0.427418i 2.88550 + 0.0722468i
\(36\) −6.51794 2.38261i −1.08632 0.397101i
\(37\) 2.99947 + 3.78893i 0.493109 + 0.622896i 0.966099 0.258172i \(-0.0831201\pi\)
−0.472990 + 0.881068i \(0.656825\pi\)
\(38\) −3.70286 + 7.30113i −0.600684 + 1.18440i
\(39\) −0.0929429 + 0.157924i −0.0148828 + 0.0252880i
\(40\) −1.70017 1.71084i −0.268821 0.270508i
\(41\) 1.82147 9.27080i 0.284466 1.44786i −0.520158 0.854070i \(-0.674127\pi\)
0.804624 0.593785i \(-0.202367\pi\)
\(42\) −0.473460 + 0.852606i −0.0730565 + 0.131560i
\(43\) −1.04780 + 5.70990i −0.159788 + 0.870752i 0.802076 + 0.597223i \(0.203729\pi\)
−0.961864 + 0.273530i \(0.911809\pi\)
\(44\) 0.614063 + 5.75010i 0.0925735 + 0.866860i
\(45\) 10.6694 1.75153i 1.59051 0.261103i
\(46\) 10.7881 4.56775i 1.59061 0.673478i
\(47\) 12.4531 0.467819i 1.81646 0.0682383i 0.892575 0.450898i \(-0.148896\pi\)
0.923889 + 0.382660i \(0.124992\pi\)
\(48\) −0.308922 + 0.0956933i −0.0445891 + 0.0138121i
\(49\) −12.0563 9.42213i −1.72233 1.34602i
\(50\) 16.1536 + 4.56398i 2.28447 + 0.645444i
\(51\) −0.458446 + 0.117220i −0.0641953 + 0.0164140i
\(52\) 0.507807 + 4.25055i 0.0704202 + 0.589446i
\(53\) −2.56156 + 5.74690i −0.351857 + 0.789398i 0.647763 + 0.761842i \(0.275705\pi\)
−0.999620 + 0.0275559i \(0.991228\pi\)
\(54\) −0.388152 + 1.17457i −0.0528208 + 0.159838i
\(55\) −5.23169 7.33510i −0.705441 0.989064i
\(56\) 0.451839 + 3.11742i 0.0603795 + 0.416583i
\(57\) 0.354317 + 0.165971i 0.0469305 + 0.0219834i
\(58\) −2.76519 + 1.74612i −0.363088 + 0.229277i
\(59\) −4.11320 + 9.88636i −0.535493 + 1.28709i 0.394290 + 0.918986i \(0.370990\pi\)
−0.929783 + 0.368108i \(0.880006\pi\)
\(60\) −0.572725 + 0.605926i −0.0739384 + 0.0782247i
\(61\) −2.85650 4.71752i −0.365737 0.604017i 0.617452 0.786609i \(-0.288165\pi\)
−0.983189 + 0.182591i \(0.941551\pi\)
\(62\) 5.80120 5.55248i 0.736754 0.705165i
\(63\) −12.5534 6.46571i −1.58158 0.814603i
\(64\) −5.99729 + 8.40851i −0.749661 + 1.05106i
\(65\) −3.94048 5.38099i −0.488756 0.667430i
\(66\) 0.509685 0.0706198i 0.0627378 0.00869270i
\(67\) 11.5012 7.06282i 1.40510 0.862861i 0.406391 0.913699i \(-0.366787\pi\)
0.998707 + 0.0508387i \(0.0161894\pi\)
\(68\) −6.86133 + 8.66723i −0.832058 + 1.05106i
\(69\) −0.234336 0.508523i −0.0282107 0.0612190i
\(70\) −21.6819 28.1044i −2.59148 3.35912i
\(71\) 0.862546 + 5.46805i 0.102365 + 0.648938i 0.984157 + 0.177299i \(0.0567359\pi\)
−0.881792 + 0.471639i \(0.843663\pi\)
\(72\) 0.649478 + 1.88579i 0.0765417 + 0.222243i
\(73\) 11.7773 + 11.2723i 1.37842 + 1.31933i 0.896453 + 0.443139i \(0.146135\pi\)
0.481972 + 0.876187i \(0.339921\pi\)
\(74\) 2.18269 9.80513i 0.253732 1.13982i
\(75\) 0.193871 0.778495i 0.0223862 0.0898928i
\(76\) 8.93422 1.93022i 1.02483 0.221411i
\(77\) −0.220897 + 11.7645i −0.0251736 + 1.34068i
\(78\) 0.376616 0.0569953i 0.0426434 0.00645345i
\(79\) 0.756359 + 13.4147i 0.0850970 + 1.50927i 0.696276 + 0.717775i \(0.254839\pi\)
−0.611179 + 0.791493i \(0.709304\pi\)
\(80\) 1.24993 11.7044i 0.139746 1.30859i
\(81\) −8.54456 2.53005i −0.949396 0.281116i
\(82\) −17.3457 + 9.21049i −1.91551 + 1.01713i
\(83\) 3.13270 + 5.98987i 0.343859 + 0.657474i 0.994822 0.101636i \(-0.0324076\pi\)
−0.650963 + 0.759110i \(0.725635\pi\)
\(84\) 1.07221 0.189828i 0.116988 0.0207120i
\(85\) 2.68360 17.0125i 0.291077 1.84526i
\(86\) 10.5862 5.79224i 1.14154 0.624593i
\(87\) 0.0875481 + 0.129484i 0.00938614 + 0.0138822i
\(88\) 1.17152 1.17887i 0.124884 0.125668i
\(89\) −0.00455716 0.0173694i −0.000483058 0.00184115i 0.967020 0.254699i \(-0.0819763\pi\)
−0.967504 + 0.252857i \(0.918630\pi\)
\(90\) −16.8085 14.9200i −1.77178 1.57270i
\(91\) −0.0545101 + 8.71014i −0.00571421 + 0.913071i
\(92\) −11.5527 6.13442i −1.20445 0.639557i
\(93\) −0.273920 0.268825i −0.0284042 0.0278759i
\(94\) −17.0747 19.4802i −1.76112 2.00923i
\(95\) −10.6503 + 9.45365i −1.09270 + 0.969924i
\(96\) 0.669506 + 0.446593i 0.0683312 + 0.0455802i
\(97\) 0.905545 + 3.84062i 0.0919442 + 0.389956i 0.999554 0.0298581i \(-0.00950553\pi\)
−0.907610 + 0.419814i \(0.862095\pi\)
\(98\) 0.597116 + 31.8010i 0.0603178 + 3.21238i
\(99\) 1.25289 + 7.34418i 0.125921 + 0.738118i
\(100\) −7.41533 17.2126i −0.741533 1.72126i
\(101\) 5.99064 2.36146i 0.596091 0.234974i −0.0493532 0.998781i \(-0.515716\pi\)
0.645444 + 0.763807i \(0.276672\pi\)
\(102\) 0.789935 + 0.586095i 0.0782152 + 0.0580321i
\(103\) 5.19826 1.05515i 0.512200 0.103967i 0.0640875 0.997944i \(-0.479586\pi\)
0.448113 + 0.893977i \(0.352096\pi\)
\(104\) 0.856240 0.883460i 0.0839612 0.0866304i
\(105\) −1.31015 + 1.07778i −0.127857 + 0.105181i
\(106\) 12.6297 3.39824i 1.22671 0.330066i
\(107\) 6.23344 + 0.234169i 0.602610 + 0.0226380i 0.337098 0.941470i \(-0.390555\pi\)
0.265512 + 0.964108i \(0.414459\pi\)
\(108\) 1.29120 0.490397i 0.124245 0.0471885i
\(109\) 6.69878 + 7.08712i 0.641627 + 0.678823i 0.963423 0.267986i \(-0.0863582\pi\)
−0.321796 + 0.946809i \(0.604286\pi\)
\(110\) −4.97916 + 18.0542i −0.474744 + 1.72140i
\(111\) −0.471662 0.0896073i −0.0447682 0.00850515i
\(112\) −10.4191 + 11.3032i −0.984510 + 1.06805i
\(113\) −8.54134 17.3772i −0.803502 1.63471i −0.772352 0.635195i \(-0.780920\pi\)
−0.0311499 0.999515i \(-0.509917\pi\)
\(114\) −0.196538 0.789206i −0.0184075 0.0739159i
\(115\) 20.3730 0.510095i 1.89979 0.0475666i
\(116\) 3.45979 + 1.16740i 0.321233 + 0.108390i
\(117\) 0.995441 + 5.42458i 0.0920286 + 0.501503i
\(118\) 21.3422 6.31944i 1.96471 0.581752i
\(119\) −16.0534 + 15.7548i −1.47162 + 1.44424i
\(120\) 0.238950 + 0.0179784i 0.0218130 + 0.00164120i
\(121\) −3.88369 + 2.80684i −0.353062 + 0.255167i
\(122\) −3.86836 + 10.7914i −0.350225 + 0.977006i
\(123\) 0.465929 + 0.814844i 0.0420114 + 0.0734720i
\(124\) −8.89577 1.11927i −0.798863 0.100514i
\(125\) 8.84700 + 6.73737i 0.791300 + 0.602609i
\(126\) 6.01881 + 28.7286i 0.536199 + 2.55935i
\(127\) −8.88988 + 5.00968i −0.788849 + 0.444537i −0.832168 0.554524i \(-0.812900\pi\)
0.0433183 + 0.999061i \(0.486207\pi\)
\(128\) 5.25723 0.329436i 0.464678 0.0291183i
\(129\) −0.292529 0.497050i −0.0257557 0.0437628i
\(130\) −3.51832 + 13.4099i −0.308577 + 1.17613i
\(131\) −12.9786 + 8.65736i −1.13395 + 0.756397i −0.973054 0.230575i \(-0.925939\pi\)
−0.160892 + 0.986972i \(0.551437\pi\)
\(132\) −0.419980 0.392020i −0.0365546 0.0341210i
\(133\) 18.5270 1.62739i 1.60649 0.141113i
\(134\) −26.4685 9.30158i −2.28653 0.803534i
\(135\) −1.37748 + 1.65326i −0.118555 + 0.142290i
\(136\) 3.17679 0.0397638i 0.272408 0.00340972i
\(137\) −3.98486 10.2974i −0.340450 0.879763i −0.992573 0.121650i \(-0.961181\pi\)
0.652123 0.758113i \(-0.273878\pi\)
\(138\) −0.513414 + 1.04453i −0.0437047 + 0.0889164i
\(139\) −0.653423 0.141170i −0.0554226 0.0119739i 0.183379 0.983042i \(-0.441296\pi\)
−0.238802 + 0.971068i \(0.576755\pi\)
\(140\) −9.09509 + 38.5743i −0.768675 + 3.26013i
\(141\) −0.905052 + 0.844799i −0.0762191 + 0.0711449i
\(142\) 7.69244 8.55767i 0.645535 0.718144i
\(143\) 3.69076 2.73837i 0.308637 0.228994i
\(144\) −5.14539 + 8.26245i −0.428783 + 0.688537i
\(145\) −5.58901 + 1.06181i −0.464142 + 0.0881787i
\(146\) 2.75391 33.7754i 0.227915 2.79527i
\(147\) 1.51826 0.0760757i 0.125224 0.00627462i
\(148\) −10.0343 + 5.01032i −0.824814 + 0.411846i
\(149\) −9.05920 + 14.1494i −0.742158 + 1.15917i 0.239938 + 0.970788i \(0.422873\pi\)
−0.982097 + 0.188378i \(0.939677\pi\)
\(150\) −1.51019 + 0.707411i −0.123306 + 0.0577598i
\(151\) 4.75832 + 7.23103i 0.387227 + 0.588453i 0.975443 0.220251i \(-0.0706876\pi\)
−0.588216 + 0.808704i \(0.700170\pi\)
\(152\) −2.04944 1.64338i −0.166231 0.133296i
\(153\) −8.12415 + 11.6975i −0.656799 + 0.945683i
\(154\) 19.2717 15.0610i 1.55296 1.21365i
\(155\) 12.9306 5.28507i 1.03861 0.424507i
\(156\) −0.314503 0.286284i −0.0251804 0.0229211i
\(157\) −0.114339 + 0.240168i −0.00912524 + 0.0191675i −0.907411 0.420244i \(-0.861944\pi\)
0.898286 + 0.439412i \(0.144813\pi\)
\(158\) 20.6536 18.8005i 1.64312 1.49568i
\(159\) −0.181221 0.598249i −0.0143718 0.0474442i
\(160\) −24.5695 + 15.9484i −1.94239 + 1.26083i
\(161\) −21.7647 15.3189i −1.71530 1.20729i
\(162\) 7.11545 + 17.1025i 0.559043 + 1.34370i
\(163\) −12.4087 4.71284i −0.971926 0.369138i −0.182651 0.983178i \(-0.558468\pi\)
−0.789275 + 0.614039i \(0.789544\pi\)
\(164\) 20.1924 + 8.54965i 1.57677 + 0.667616i
\(165\) 0.869906 + 0.210862i 0.0677221 + 0.0164156i
\(166\) 5.55935 12.9045i 0.431489 1.00158i
\(167\) 0.0209884 0.670536i 0.00162413 0.0518876i −0.998362 0.0572189i \(-0.981777\pi\)
0.999986 + 0.00533130i \(0.00169701\pi\)
\(168\) −0.236626 0.204802i −0.0182561 0.0158008i
\(169\) −7.63587 + 5.81505i −0.587375 + 0.447311i
\(170\) −30.9669 + 17.9650i −2.37505 + 1.37785i
\(171\) 11.3324 3.20180i 0.866609 0.244848i
\(172\) −12.4718 5.09755i −0.950967 0.388684i
\(173\) 8.87094 + 18.6333i 0.674445 + 1.41666i 0.897127 + 0.441773i \(0.145650\pi\)
−0.222681 + 0.974891i \(0.571481\pi\)
\(174\) 0.0941933 0.310951i 0.00714077 0.0235732i
\(175\) −10.5981 36.6329i −0.801142 2.76919i
\(176\) 8.07023 + 0.810787i 0.608316 + 0.0611154i
\(177\) −0.333797 1.01009i −0.0250897 0.0759227i
\(178\) −0.0220537 + 0.0301158i −0.00165299 + 0.00225728i
\(179\) 3.96440 7.35447i 0.296313 0.549699i −0.688091 0.725625i \(-0.741551\pi\)
0.984403 + 0.175926i \(0.0562919\pi\)
\(180\) −1.09895 + 25.0700i −0.0819106 + 1.86861i
\(181\) −0.779951 11.3121i −0.0579733 0.840818i −0.933710 0.358030i \(-0.883449\pi\)
0.875737 0.482789i \(-0.160376\pi\)
\(182\) 14.1254 11.3268i 1.04705 0.839597i
\(183\) 0.521297 + 0.168658i 0.0385354 + 0.0124676i
\(184\) 0.724750 + 3.68879i 0.0534293 + 0.271941i
\(185\) 9.78752 14.4758i 0.719593 1.06428i
\(186\) −0.0747802 + 0.794275i −0.00548315 + 0.0582391i
\(187\) 11.7340 + 1.77576i 0.858071 + 0.129857i
\(188\) −4.86383 + 28.5107i −0.354731 + 2.07935i
\(189\) 2.73127 0.662051i 0.198671 0.0481572i
\(190\) 29.2110 + 4.79537i 2.11919 + 0.347893i
\(191\) 0.621903 11.0300i 0.0449993 0.798100i −0.892700 0.450652i \(-0.851192\pi\)
0.937699 0.347448i \(-0.112952\pi\)
\(192\) −0.0961796 1.02157i −0.00694116 0.0737253i
\(193\) −0.454139 0.248482i −0.0326896 0.0178861i 0.463570 0.886060i \(-0.346568\pi\)
−0.496259 + 0.868174i \(0.665293\pi\)
\(194\) 5.01021 6.49429i 0.359712 0.466263i
\(195\) 0.645861 + 0.148021i 0.0462511 + 0.0106000i
\(196\) 27.1408 22.9028i 1.93863 1.63591i
\(197\) 3.59956 0.270829i 0.256458 0.0192957i 0.0538247 0.998550i \(-0.482859\pi\)
0.202633 + 0.979255i \(0.435050\pi\)
\(198\) 10.2081 11.6462i 0.725456 0.827659i
\(199\) −0.00549785 0.878499i −0.000389732 0.0622751i −0.999690 0.0248825i \(-0.992079\pi\)
0.999301 0.0373926i \(-0.0119052\pi\)
\(200\) −2.49633 + 4.77310i −0.176517 + 0.337509i
\(201\) −0.404766 + 1.27833i −0.0285500 + 0.0901663i
\(202\) −11.6611 6.57132i −0.820470 0.462356i
\(203\) 6.68819 + 3.23561i 0.469419 + 0.227095i
\(204\) −0.0480950 1.09718i −0.00336732 0.0768179i
\(205\) −33.9474 + 3.84032i −2.37099 + 0.268220i
\(206\) −8.51489 7.00473i −0.593261 0.488043i
\(207\) −15.3491 6.95698i −1.06683 0.483543i
\(208\) 5.98113 + 0.525376i 0.414716 + 0.0364283i
\(209\) −6.55993 7.29777i −0.453760 0.504798i
\(210\) 3.45599 + 0.701503i 0.238486 + 0.0484083i
\(211\) 18.3808 12.5961i 1.26538 0.867150i 0.269975 0.962867i \(-0.412985\pi\)
0.995409 + 0.0957177i \(0.0305146\pi\)
\(212\) −11.8354 8.55377i −0.812862 0.587475i
\(213\) −0.420308 0.354677i −0.0287991 0.0243021i
\(214\) −7.79115 10.3647i −0.532592 0.708515i
\(215\) 20.8275 2.62053i 1.42042 0.178718i
\(216\) −0.343359 0.199195i −0.0233626 0.0135535i
\(217\) −17.6747 4.51924i −1.19984 0.306786i
\(218\) 2.65640 20.0964i 0.179914 1.36110i
\(219\) −1.61759 0.0810529i −0.109307 0.00547704i
\(220\) 19.1520 8.39333i 1.29123 0.565878i
\(221\) 8.70197 + 1.20571i 0.585358 + 0.0811048i
\(222\) 0.473535 + 0.878469i 0.0317816 + 0.0589590i
\(223\) −4.81820 + 2.33094i −0.322650 + 0.156092i −0.589769 0.807572i \(-0.700781\pi\)
0.267118 + 0.963664i \(0.413929\pi\)
\(224\) 38.1799 + 2.39248i 2.55100 + 0.159854i
\(225\) −10.9218 21.5350i −0.728118 1.43567i
\(226\) −16.8450 + 36.5546i −1.12051 + 2.43158i
\(227\) −10.5944 + 2.42808i −0.703177 + 0.161157i −0.559942 0.828532i \(-0.689177\pi\)
−0.143235 + 0.989689i \(0.545750\pi\)
\(228\) −0.545639 + 0.725870i −0.0361358 + 0.0480719i
\(229\) 1.85576 3.24546i 0.122632 0.214466i −0.800139 0.599814i \(-0.795241\pi\)
0.922771 + 0.385348i \(0.125919\pi\)
\(230\) −27.5220 32.2037i −1.81475 2.12345i
\(231\) −0.748293 0.898103i −0.0492340 0.0590909i
\(232\) −0.366458 0.983366i −0.0240591 0.0645611i
\(233\) −17.0878 0.213887i −1.11946 0.0140122i −0.549359 0.835587i \(-0.685128\pi\)
−0.570101 + 0.821574i \(0.693096\pi\)
\(234\) 7.44815 8.71514i 0.486901 0.569726i
\(235\) −15.2057 42.4187i −0.991914 2.76709i
\(236\) −20.5001 14.0484i −1.33444 0.914475i
\(237\) −0.928994 0.958528i −0.0603447 0.0622631i
\(238\) 46.4590 + 5.25570i 3.01149 + 0.340677i
\(239\) 0.330601 4.79489i 0.0213848 0.310156i −0.974812 0.223027i \(-0.928406\pi\)
0.996197 0.0871287i \(-0.0277691\pi\)
\(240\) 0.667085 + 0.960493i 0.0430601 + 0.0619996i
\(241\) −13.1279 4.06657i −0.845644 0.261951i −0.157495 0.987520i \(-0.550342\pi\)
−0.688150 + 0.725569i \(0.741577\pi\)
\(242\) 9.61851 + 2.58803i 0.618301 + 0.166365i
\(243\) 2.43246 1.10251i 0.156042 0.0707263i
\(244\) 12.0756 4.24363i 0.773063 0.271671i
\(245\) −19.3209 + 51.8464i −1.23437 + 3.31235i
\(246\) 0.704165 1.81965i 0.0448959 0.116017i
\(247\) −4.92330 5.34106i −0.313262 0.339844i
\(248\) 1.36216 + 2.18735i 0.0864973 + 0.138897i
\(249\) −0.624769 0.246279i −0.0395931 0.0156073i
\(250\) −0.723185 23.1042i −0.0457382 1.46124i
\(251\) 14.5681 17.9365i 0.919529 1.13214i −0.0713594 0.997451i \(-0.522734\pi\)
0.990888 0.134688i \(-0.0430033\pi\)
\(252\) 20.6616 25.4389i 1.30156 1.60250i
\(253\) 0.439331 + 14.0357i 0.0276205 + 0.882417i
\(254\) 19.7335 + 7.77878i 1.23819 + 0.488084i
\(255\) 0.904505 + 1.45245i 0.0566423 + 0.0909559i
\(256\) 6.57892 + 7.13717i 0.411183 + 0.446073i
\(257\) 0.540406 1.39648i 0.0337096 0.0871097i −0.914733 0.404059i \(-0.867599\pi\)
0.948442 + 0.316950i \(0.102659\pi\)
\(258\) −0.418639 + 1.12339i −0.0260633 + 0.0699393i
\(259\) −21.5302 + 7.56618i −1.33782 + 0.470140i
\(260\) 14.0986 6.39022i 0.874360 0.396305i
\(261\) 4.54277 + 1.22231i 0.281190 + 0.0756591i
\(262\) 30.9774 + 9.59573i 1.91379 + 0.592826i
\(263\) 13.0216 + 18.7490i 0.802946 + 1.15611i 0.984954 + 0.172815i \(0.0552861\pi\)
−0.182008 + 0.983297i \(0.558260\pi\)
\(264\) −0.0113575 + 0.164725i −0.000699008 + 0.0101381i
\(265\) 22.6073 + 2.55747i 1.38876 + 0.157104i
\(266\) −26.9056 27.7610i −1.64969 1.70214i
\(267\) 0.00147163 + 0.00100849i 9.00624e−5 + 6.17185e-5i
\(268\) 10.5702 + 29.4871i 0.645677 + 1.80121i
\(269\) 14.4171 16.8695i 0.879024 1.02855i −0.120334 0.992733i \(-0.538397\pi\)
0.999358 0.0358196i \(-0.0114042\pi\)
\(270\) 4.47277 + 0.0559855i 0.272204 + 0.00340717i
\(271\) 1.06521 + 2.85842i 0.0647070 + 0.173637i 0.965372 0.260877i \(-0.0840118\pi\)
−0.900665 + 0.434514i \(0.856920\pi\)
\(272\) 9.92485 + 11.9118i 0.601783 + 0.722261i
\(273\) −0.562210 0.657846i −0.0340265 0.0398147i
\(274\) −11.3928 + 19.9245i −0.688266 + 1.20368i
\(275\) −12.0899 + 16.0834i −0.729050 + 0.969866i
\(276\) 1.26667 0.290301i 0.0762446 0.0174741i
\(277\) −3.53768 + 7.67698i −0.212559 + 0.461265i −0.984716 0.174166i \(-0.944277\pi\)
0.772158 + 0.635431i \(0.219177\pi\)
\(278\) 0.628536 + 1.23932i 0.0376971 + 0.0743294i
\(279\) −11.5286 0.722424i −0.690202 0.0432504i
\(280\) 10.2535 4.96042i 0.612763 0.296442i
\(281\) −3.32825 6.17434i −0.198547 0.368330i 0.761502 0.648162i \(-0.224462\pi\)
−0.960049 + 0.279832i \(0.909721\pi\)
\(282\) 2.54918 + 0.353204i 0.151802 + 0.0210330i
\(283\) −9.17079 + 4.01908i −0.545147 + 0.238909i −0.655780 0.754952i \(-0.727660\pi\)
0.110634 + 0.993861i \(0.464712\pi\)
\(284\) −12.8316 0.642952i −0.761413 0.0381522i
\(285\) 0.185400 1.40260i 0.0109822 0.0830829i
\(286\) −9.25520 2.36646i −0.547272 0.139932i
\(287\) 38.5934 + 22.3894i 2.27810 + 1.32161i
\(288\) 24.0325 3.02379i 1.41613 0.178179i
\(289\) 3.41652 + 4.54505i 0.200972 + 0.267356i
\(290\) 9.03772 + 7.62648i 0.530713 + 0.447842i
\(291\) −0.317729 0.229631i −0.0186256 0.0134612i
\(292\) −31.2108 + 21.3883i −1.82647 + 1.25166i
\(293\) 4.97244 + 1.00931i 0.290493 + 0.0589648i 0.341975 0.939709i \(-0.388904\pi\)
−0.0514816 + 0.998674i \(0.516394\pi\)
\(294\) −2.11245 2.35005i −0.123200 0.137058i
\(295\) 38.5709 + 3.38803i 2.24569 + 0.197259i
\(296\) 2.93590 + 1.33070i 0.170646 + 0.0773454i
\(297\) −1.14511 0.942018i −0.0664460 0.0546614i
\(298\) 34.7026 3.92575i 2.01027 0.227413i
\(299\) 0.455237 + 10.3852i 0.0263270 + 0.600592i
\(300\) 1.67614 + 0.810883i 0.0967722 + 0.0468164i
\(301\) −23.8837 13.4591i −1.37663 0.775768i
\(302\) 5.43159 17.1540i 0.312553 0.987102i
\(303\) −0.296480 + 0.566884i −0.0170323 + 0.0325666i
\(304\) −0.0802297 12.8199i −0.00460149 0.735270i
\(305\) −13.1447 + 14.9966i −0.752665 + 0.858701i
\(306\) 29.5209 2.22113i 1.68760 0.126974i
\(307\) 21.4541 18.1040i 1.22445 1.03325i 0.226200 0.974081i \(-0.427370\pi\)
0.998248 0.0591704i \(-0.0188455\pi\)
\(308\) −26.6187 6.10059i −1.51674 0.347613i
\(309\) −0.321889 + 0.417237i −0.0183116 + 0.0237358i
\(310\) −25.4733 13.9377i −1.44679 0.791609i
\(311\) −2.00159 21.2598i −0.113500 1.20553i −0.849143 0.528164i \(-0.822881\pi\)
0.735643 0.677370i \(-0.236880\pi\)
\(312\) −0.00688070 + 0.122035i −0.000389543 + 0.00690888i
\(313\) 2.98779 + 0.490485i 0.168880 + 0.0277239i 0.245841 0.969310i \(-0.420936\pi\)
−0.0769609 + 0.997034i \(0.524522\pi\)
\(314\) 0.537358 0.130254i 0.0303249 0.00735064i
\(315\) −8.58664 + 50.3330i −0.483802 + 2.83594i
\(316\) −30.8323 4.66602i −1.73446 0.262484i
\(317\) −0.619037 + 6.57508i −0.0347686 + 0.369293i 0.960941 + 0.276755i \(0.0892591\pi\)
−0.995709 + 0.0925384i \(0.970502\pi\)
\(318\) −0.727796 + 1.07642i −0.0408127 + 0.0603624i
\(319\) −0.755738 3.84651i −0.0423132 0.215363i
\(320\) 35.5329 + 11.4962i 1.98635 + 0.642657i
\(321\) −0.483478 + 0.387687i −0.0269851 + 0.0216386i
\(322\) 3.80550 + 55.1933i 0.212072 + 3.07580i
\(323\) 0.821470 18.7400i 0.0457078 1.04272i
\(324\) 9.81361 18.2055i 0.545201 1.01142i
\(325\) −8.80000 + 12.0170i −0.488136 + 0.666584i
\(326\) 8.65749 + 26.1980i 0.479494 + 1.45097i
\(327\) −0.963991 0.0968487i −0.0533088 0.00535575i
\(328\) −1.75141 6.05386i −0.0967057 0.334268i
\(329\) −17.0613 + 56.3228i −0.940619 + 3.10518i
\(330\) −0.799790 1.67995i −0.0440270 0.0924782i
\(331\) −8.28194 3.38504i −0.455216 0.186058i 0.139119 0.990276i \(-0.455573\pi\)
−0.594336 + 0.804217i \(0.702585\pi\)
\(332\) −15.0973 + 4.26553i −0.828573 + 0.234102i
\(333\) −12.4987 + 7.25095i −0.684926 + 0.397349i
\(334\) −1.10943 + 0.844879i −0.0607053 + 0.0462297i
\(335\) −36.9017 31.9388i −2.01616 1.74500i
\(336\) 0.0477811 1.52650i 0.00260667 0.0832777i
\(337\) 6.84979 15.8999i 0.373132 0.866120i −0.623321 0.781966i \(-0.714217\pi\)
0.996453 0.0841541i \(-0.0268188\pi\)
\(338\) 19.3896 + 4.69997i 1.05466 + 0.255645i
\(339\) 1.77143 + 0.750038i 0.0962109 + 0.0407365i
\(340\) 37.3680 + 14.1924i 2.02656 + 0.769690i
\(341\) 3.69742 + 8.88700i 0.200226 + 0.481258i
\(342\) −20.0174 14.0890i −1.08242 0.761848i
\(343\) 32.8825 21.3444i 1.77549 1.15249i
\(344\) 1.12261 + 3.70597i 0.0605271 + 0.199812i
\(345\) −1.49724 + 1.36290i −0.0806088 + 0.0733761i
\(346\) 18.4398 38.7326i 0.991330 2.08228i
\(347\) −16.5456 15.0610i −0.888213 0.808516i 0.0941391 0.995559i \(-0.469990\pi\)
−0.982352 + 0.187043i \(0.940110\pi\)
\(348\) −0.335798 + 0.137249i −0.0180007 + 0.00735733i
\(349\) −11.9901 + 9.37036i −0.641814 + 0.501584i −0.883292 0.468822i \(-0.844678\pi\)
0.241478 + 0.970406i \(0.422368\pi\)
\(350\) −45.2191 + 65.1081i −2.41706 + 3.48018i
\(351\) −0.856342 0.686676i −0.0457082 0.0366520i
\(352\) −11.0951 16.8608i −0.591370 0.898681i
\(353\) −0.581788 + 0.272524i −0.0309654 + 0.0145050i −0.439614 0.898187i \(-0.644885\pi\)
0.408648 + 0.912692i \(0.366000\pi\)
\(354\) −1.19235 + 1.86232i −0.0633728 + 0.0989810i
\(355\) 17.9085 8.94206i 0.950483 0.474595i
\(356\) 0.0416246 0.00208569i 0.00220610 0.000110541i
\(357\) 0.181600 2.22724i 0.00961129 0.117878i
\(358\) −17.0620 + 3.24147i −0.901754 + 0.171317i
\(359\) 12.8113 20.5724i 0.676156 1.08577i −0.314483 0.949263i \(-0.601831\pi\)
0.990639 0.136506i \(-0.0435872\pi\)
\(360\) 5.79196 4.29737i 0.305263 0.226491i
\(361\) 2.33300 2.59541i 0.122789 0.136600i
\(362\) −17.2301 + 16.0830i −0.905595 + 0.845305i
\(363\) 0.109250 0.463353i 0.00573412 0.0243197i
\(364\) −19.7598 4.26905i −1.03569 0.223759i
\(365\) 26.0037 52.9040i 1.36109 2.76912i
\(366\) −0.411030 1.06215i −0.0214849 0.0555196i
\(367\) −19.0542 + 0.238500i −0.994620 + 0.0124496i −0.508168 0.861258i \(-0.669677\pi\)
−0.486452 + 0.873708i \(0.661709\pi\)
\(368\) −11.7438 + 14.0950i −0.612189 + 0.734751i
\(369\) 26.6530 + 9.36642i 1.38750 + 0.487596i
\(370\) −36.1837 + 3.17834i −1.88110 + 0.165234i
\(371\) −21.7210 20.2750i −1.12770 1.05262i
\(372\) 0.741018 0.494294i 0.0384200 0.0256280i
\(373\) −5.49915 + 20.9597i −0.284735 + 1.08525i 0.658353 + 0.752709i \(0.271253\pi\)
−0.943088 + 0.332544i \(0.892093\pi\)
\(374\) −12.5122 21.2601i −0.646992 1.09934i
\(375\) −1.10262 + 0.0690942i −0.0569393 + 0.00356801i
\(376\) 7.24171 4.08089i 0.373463 0.210456i
\(377\) −0.595038 2.84020i −0.0306460 0.146278i
\(378\) −4.64760 3.53935i −0.239047 0.182044i
\(379\) 10.0136 + 1.25992i 0.514364 + 0.0647177i 0.377752 0.925907i \(-0.376697\pi\)
0.136612 + 0.990625i \(0.456379\pi\)
\(380\) −16.4061 28.6920i −0.841616 1.47187i
\(381\) 0.342091 0.954315i 0.0175259 0.0488911i
\(382\) −18.6121 + 13.4514i −0.952278 + 0.688235i
\(383\) −7.11031 0.534975i −0.363320 0.0273359i −0.107888 0.994163i \(-0.534409\pi\)
−0.255432 + 0.966827i \(0.582218\pi\)
\(384\) −0.373502 + 0.366555i −0.0190602 + 0.0187057i
\(385\) 40.7967 12.0799i 2.07919 0.615649i
\(386\) 0.194223 + 1.05840i 0.00988567 + 0.0538712i
\(387\) −16.4474 5.54968i −0.836068 0.282106i
\(388\) −9.15522 + 0.229227i −0.464786 + 0.0116372i
\(389\) −4.83113 19.3996i −0.244948 0.983599i −0.958977 0.283483i \(-0.908510\pi\)
0.714029 0.700116i \(-0.246868\pi\)
\(390\) −0.607572 1.23610i −0.0307656 0.0625921i
\(391\) −18.1937 + 19.7376i −0.920097 + 0.998172i
\(392\) −10.0271 1.90497i −0.506445 0.0962154i
\(393\) 0.412075 1.49416i 0.0207865 0.0753706i
\(394\) −5.15425 5.45305i −0.259667 0.274721i
\(395\) 45.4187 17.2501i 2.28526 0.867945i
\(396\) −17.2791 0.649117i −0.868308 0.0326194i
\(397\) −7.28475 + 1.96009i −0.365611 + 0.0983740i −0.437934 0.899007i \(-0.644290\pi\)
0.0723227 + 0.997381i \(0.476959\pi\)
\(398\) −1.41027 + 1.16015i −0.0706906 + 0.0581532i
\(399\) −1.28593 + 1.32681i −0.0643771 + 0.0664237i
\(400\) −25.7618 + 5.22918i −1.28809 + 0.261459i
\(401\) 24.0827 + 17.8683i 1.20263 + 0.892299i 0.996280 0.0861784i \(-0.0274655\pi\)
0.206354 + 0.978477i \(0.433840\pi\)
\(402\) 2.59306 1.02216i 0.129330 0.0509808i
\(403\) 2.81918 + 6.54394i 0.140433 + 0.325977i
\(404\) 2.51324 + 14.7320i 0.125038 + 0.732946i
\(405\) 0.604933 + 32.2173i 0.0300594 + 1.60089i
\(406\) −3.54422 15.0318i −0.175897 0.746018i
\(407\) 10.0167 + 6.68163i 0.496510 + 0.331196i
\(408\) −0.236054 + 0.209532i −0.0116864 + 0.0103734i
\(409\) −1.39486 1.59137i −0.0689714 0.0786881i 0.716496 0.697591i \(-0.245745\pi\)
−0.785467 + 0.618903i \(0.787577\pi\)
\(410\) 50.6849 + 49.7421i 2.50315 + 2.45659i
\(411\) 0.968842 + 0.514451i 0.0477894 + 0.0253760i
\(412\) −0.0770414 + 12.3104i −0.00379556 + 0.606490i
\(413\) −37.8178 33.5687i −1.86089 1.65181i
\(414\) 8.88985 + 33.8832i 0.436913 + 1.66527i
\(415\) 17.2294 17.3376i 0.845758 0.851067i
\(416\) −8.36885 12.3776i −0.410316 0.606862i
\(417\) 0.0582633 0.0318788i 0.00285317 0.00156111i
\(418\) −3.17827 + 20.1484i −0.155454 + 0.985490i
\(419\) −14.6491 + 2.59353i −0.715653 + 0.126702i −0.520241 0.854019i \(-0.674158\pi\)
−0.195412 + 0.980721i \(0.562604\pi\)
\(420\) −1.82476 3.48902i −0.0890391 0.170247i
\(421\) −3.90914 + 2.07574i −0.190520 + 0.101165i −0.561504 0.827474i \(-0.689777\pi\)
0.370985 + 0.928639i \(0.379020\pi\)
\(422\) −44.4122 13.1505i −2.16195 0.640154i
\(423\) −3.95683 + 37.0518i −0.192388 + 1.80152i
\(424\) 0.236259 + 4.19025i 0.0114737 + 0.203496i
\(425\) −38.0296 + 5.75522i −1.84471 + 0.279169i
\(426\) −0.0214615 + 1.14299i −0.00103981 + 0.0553778i
\(427\) 25.4566 5.49984i 1.23193 0.266156i
\(428\) −3.49848 + 14.0483i −0.169105 + 0.679049i
\(429\) −0.0992083 + 0.445666i −0.00478982 + 0.0215170i
\(430\) −31.5229 30.1713i −1.52017 1.45499i
\(431\) −4.92816 14.3092i −0.237381 0.689249i −0.999143 0.0413920i \(-0.986821\pi\)
0.761762 0.647857i \(-0.224335\pi\)
\(432\) −0.301852 1.91357i −0.0145229 0.0920667i
\(433\) 7.30408 + 9.46765i 0.351012 + 0.454986i 0.933883 0.357578i \(-0.116398\pi\)
−0.582871 + 0.812564i \(0.698071\pi\)
\(434\) 15.8710 + 34.4411i 0.761834 + 1.65323i
\(435\) 0.350809 0.443142i 0.0168200 0.0212470i
\(436\) −19.2869 + 11.8440i −0.923676 + 0.567223i
\(437\) 21.9858 3.04627i 1.05172 0.145723i
\(438\) 1.98909 + 2.71624i 0.0950424 + 0.129787i
\(439\) 11.8117 16.5606i 0.563740 0.790393i −0.429914 0.902870i \(-0.641456\pi\)
0.993654 + 0.112477i \(0.0358784\pi\)
\(440\) −5.34269 2.75178i −0.254703 0.131186i
\(441\) 33.0531 31.6360i 1.57396 1.50647i
\(442\) −9.45858 15.6209i −0.449899 0.743011i
\(443\) 0.673944 0.713013i 0.0320200 0.0338763i −0.710530 0.703667i \(-0.751545\pi\)
0.742550 + 0.669791i \(0.233616\pi\)
\(444\) 0.428018 1.02877i 0.0203128 0.0488233i
\(445\) −0.0549031 + 0.0346693i −0.00260266 + 0.00164348i
\(446\) 10.0753 + 4.71954i 0.477081 + 0.223477i
\(447\) −0.239426 1.65190i −0.0113245 0.0781321i
\(448\) −28.3218 39.7086i −1.33808 1.87606i
\(449\) 7.19340 21.7676i 0.339477 1.02728i −0.628836 0.777538i \(-0.716468\pi\)
0.968314 0.249738i \(-0.0803444\pi\)
\(450\) −20.4342 + 45.8444i −0.963276 + 2.16113i
\(451\) −2.79255 23.3748i −0.131496 1.10067i
\(452\) 43.5385 11.1323i 2.04788 0.523621i
\(453\) −0.827581 0.233821i −0.0388831 0.0109859i
\(454\) 17.8019 + 13.9123i 0.835483 + 0.652938i
\(455\) 30.0860 9.31958i 1.41045 0.436909i
\(456\) 0.260800 0.00979736i 0.0122131 0.000458804i
\(457\) −12.6938 + 5.37467i −0.593792 + 0.251416i −0.665974 0.745975i \(-0.731984\pi\)
0.0721821 + 0.997391i \(0.477004\pi\)
\(458\) −7.66861 + 1.25890i −0.358331 + 0.0588248i
\(459\) −0.300990 2.81847i −0.0140490 0.131555i
\(460\) −8.53694 + 46.5214i −0.398037 + 2.16907i
\(461\) 15.0630 27.1254i 0.701553 1.26335i −0.253619 0.967304i \(-0.581621\pi\)
0.955172 0.296051i \(-0.0956698\pi\)
\(462\) −0.468464 + 2.38436i −0.0217949 + 0.110930i
\(463\) 19.0073 + 19.1266i 0.883344 + 0.888889i 0.994481 0.104916i \(-0.0334573\pi\)
−0.111137 + 0.993805i \(0.535449\pi\)
\(464\) 2.59764 4.41378i 0.120592 0.204904i
\(465\) −0.627725 + 1.23772i −0.0291101 + 0.0573979i
\(466\) 22.0486 + 27.8519i 1.02138 + 1.29021i
\(467\) −12.9372 4.72913i −0.598661 0.218838i 0.0260931 0.999660i \(-0.491693\pi\)
−0.624754 + 0.780821i \(0.714801\pi\)
\(468\) −12.7961 0.320386i −0.591499 0.0148099i
\(469\) 13.8494 + 62.2145i 0.639504 + 2.87280i
\(470\) −48.5163 + 80.1250i −2.23789 + 3.69589i
\(471\) −0.00702581 0.0254752i −0.000323732 0.00117384i
\(472\) 0.580441 + 7.11883i 0.0267170 + 0.327671i
\(473\) 1.89548 + 14.3398i 0.0871540 + 0.659343i
\(474\) −0.329149 + 2.75511i −0.0151183 + 0.126547i
\(475\) 27.3071 + 16.3020i 1.25293 + 0.747986i
\(476\) −28.1483 43.9644i −1.29018 2.01511i
\(477\) −15.9076 10.0451i −0.728359 0.459932i
\(478\) −8.16992 + 5.75032i −0.373684 + 0.263014i
\(479\) −7.04023 + 17.5374i −0.321676 + 0.801306i 0.676234 + 0.736687i \(0.263611\pi\)
−0.997910 + 0.0646187i \(0.979417\pi\)
\(480\) 0.808743 2.79546i 0.0369139 0.127595i
\(481\) 7.47631 + 4.85296i 0.340891 + 0.221276i
\(482\) 10.6428 + 26.5115i 0.484765 + 1.20757i
\(483\) 2.63093 0.264321i 0.119712 0.0120270i
\(484\) −4.52766 10.1579i −0.205803 0.461722i
\(485\) 12.2513 7.31389i 0.556304 0.332107i
\(486\) −4.96669 2.47997i −0.225294 0.112494i
\(487\) 10.0277 + 4.39461i 0.454397 + 0.199139i 0.616047 0.787710i \(-0.288733\pi\)
−0.161650 + 0.986848i \(0.551681\pi\)
\(488\) −3.13474 1.92502i −0.141903 0.0871416i
\(489\) 1.23855 0.452748i 0.0560092 0.0204740i
\(490\) 108.976 36.7705i 4.92301 1.66112i
\(491\) 21.3415 + 38.4318i 0.963129 + 1.73440i 0.592353 + 0.805679i \(0.298199\pi\)
0.370776 + 0.928722i \(0.379092\pi\)
\(492\) −2.07272 + 0.670600i −0.0934453 + 0.0302330i
\(493\) 4.11922 6.25980i 0.185520 0.281927i
\(494\) −2.16589 + 14.9434i −0.0974479 + 0.672334i
\(495\) 23.9500 12.3356i 1.07647 0.554443i
\(496\) −4.09499 + 11.8900i −0.183870 + 0.533878i
\(497\) −25.7415 4.55737i −1.15466 0.204426i
\(498\) 0.421390 + 1.33083i 0.0188829 + 0.0596359i
\(499\) 2.86483 13.6742i 0.128248 0.612143i −0.865539 0.500841i \(-0.833024\pi\)
0.993787 0.111301i \(-0.0355019\pi\)
\(500\) −19.5148 + 16.8902i −0.872728 + 0.755355i
\(501\) 0.0420194 + 0.0517350i 0.00187729 + 0.00231135i
\(502\) −48.0325 −2.14379
\(503\) 16.1380 + 15.5745i 0.719558 + 0.694433i
\(504\) −9.41890 −0.419551
\(505\) −14.6797 18.0739i −0.653238 0.804278i
\(506\) 22.0712 19.1028i 0.981183 0.849223i
\(507\) 0.195528 0.933283i 0.00868372 0.0414486i
\(508\) −7.14909 22.5782i −0.317189 1.00174i
\(509\) 1.73067 + 0.306405i 0.0767108 + 0.0135812i 0.212556 0.977149i \(-0.431821\pi\)
−0.135845 + 0.990730i \(0.543375\pi\)
\(510\) 1.15820 3.36289i 0.0512858 0.148911i
\(511\) −68.4422 + 35.2516i −3.02771 + 1.55944i
\(512\) 4.40541 30.3947i 0.194693 1.34327i
\(513\) −1.28835 + 1.95785i −0.0568820 + 0.0864412i
\(514\) −2.96145 + 0.958138i −0.130624 + 0.0422616i
\(515\) −9.31155 16.7682i −0.410316 0.738896i
\(516\) 1.26830 0.427951i 0.0558339 0.0188395i
\(517\) 29.1629 10.6604i 1.28258 0.468843i
\(518\) 40.4238 + 24.8240i 1.77612 + 1.09070i
\(519\) −1.87786 0.822967i −0.0824288 0.0361243i
\(520\) −3.98017 1.98738i −0.174542 0.0871524i
\(521\) −22.6000 + 13.4919i −0.990122 + 0.591090i −0.913874 0.405999i \(-0.866924\pi\)
−0.0762486 + 0.997089i \(0.524294\pi\)
\(522\) −3.98112 8.93171i −0.174249 0.390930i
\(523\) −33.9402 + 3.40985i −1.48410 + 0.149102i −0.808644 0.588298i \(-0.799798\pi\)
−0.675456 + 0.737401i \(0.736053\pi\)
\(524\) −13.4892 33.6020i −0.589278 1.46791i
\(525\) 3.17788 + 2.06280i 0.138694 + 0.0900278i
\(526\) 13.1870 45.5814i 0.574978 1.98744i
\(527\) −6.85478 + 17.0755i −0.298599 + 0.743819i
\(528\) −0.658947 + 0.463794i −0.0286770 + 0.0201840i
\(529\) −7.40978 4.67900i −0.322164 0.203435i
\(530\) −25.5006 39.8290i −1.10768 1.73006i
\(531\) −27.4916 16.4121i −1.19303 0.712226i
\(532\) −5.12041 + 42.8599i −0.221998 + 1.85821i
\(533\) −2.28362 17.2762i −0.0989147 0.748316i
\(534\) −0.000301369 0.00369615i −1.30415e−5 0.000159948i
\(535\) −5.99682 21.7441i −0.259265 0.940081i
\(536\) 4.66300 7.70098i 0.201411 0.332632i
\(537\) 0.180360 + 0.810217i 0.00778310 + 0.0349634i
\(538\) −46.1131 1.15457i −1.98808 0.0497771i
\(539\) −35.8079 13.0894i −1.54235 0.563801i
\(540\) −3.09994 3.91585i −0.133400 0.168511i
\(541\) −6.63553 + 13.0836i −0.285284 + 0.562510i −0.988990 0.147982i \(-0.952722\pi\)
0.703706 + 0.710491i \(0.251527\pi\)
\(542\) 3.21616 5.46474i 0.138146 0.234731i
\(543\) 0.794062 + 0.799047i 0.0340765 + 0.0342904i
\(544\) 7.43839 37.8594i 0.318918 1.62321i
\(545\) 17.1194 30.8286i 0.733315 1.32055i
\(546\) −0.324668 + 1.76925i −0.0138945 + 0.0757170i
\(547\) 1.65735 + 15.5194i 0.0708630 + 0.663563i 0.972792 + 0.231679i \(0.0744218\pi\)
−0.901929 + 0.431884i \(0.857849\pi\)
\(548\) 25.2877 4.15130i 1.08023 0.177335i
\(549\) 15.1853 6.42959i 0.648093 0.274408i
\(550\) 41.7949 1.57009i 1.78214 0.0669489i
\(551\) −5.91861 + 1.83338i −0.252141 + 0.0781046i
\(552\) −0.294276 0.229979i −0.0125252 0.00978857i
\(553\) −61.0601 17.2517i −2.59654 0.733616i
\(554\) 17.0231 4.35263i 0.723244 0.184926i
\(555\) 0.205936 + 1.72377i 0.00874150 + 0.0731700i
\(556\) 0.631649 1.41712i 0.0267879 0.0600991i
\(557\) −8.72371 + 26.3984i −0.369635 + 1.11853i 0.582493 + 0.812836i \(0.302077\pi\)
−0.952128 + 0.305699i \(0.901110\pi\)
\(558\) 13.9428 + 19.5485i 0.590244 + 0.827553i
\(559\) 1.53590 + 10.5968i 0.0649615 + 0.448197i
\(560\) 50.3383 + 23.5798i 2.12718 + 0.996427i
\(561\) −0.996904 + 0.629508i −0.0420893 + 0.0265779i
\(562\) −5.60072 + 13.4617i −0.236252 + 0.567849i
\(563\) 10.1664 10.7558i 0.428463 0.453301i −0.476259 0.879305i \(-0.658007\pi\)
0.904721 + 0.426004i \(0.140079\pi\)
\(564\) −1.48830 2.45794i −0.0626688 0.103498i
\(565\) −50.5812 + 48.4125i −2.12797 + 2.03673i
\(566\) 18.5033 + 9.53023i 0.777751 + 0.400585i
\(567\) 24.4364 34.2611i 1.02623 1.43883i
\(568\) 2.18157 + 2.97908i 0.0915365 + 0.124999i
\(569\) 13.2404 1.83453i 0.555066 0.0769076i 0.145785 0.989316i \(-0.453429\pi\)
0.409280 + 0.912409i \(0.365780\pi\)
\(570\) −2.50610 + 1.53898i −0.104969 + 0.0644606i
\(571\) −3.20055 + 4.04293i −0.133939 + 0.169192i −0.846448 0.532471i \(-0.821264\pi\)
0.712510 + 0.701662i \(0.247558\pi\)
\(572\) 4.46395 + 9.68705i 0.186647 + 0.405036i
\(573\) 0.670415 + 0.869001i 0.0280070 + 0.0363030i
\(574\) −14.4513 91.6129i −0.603186 3.82385i
\(575\) −14.8202 43.0312i −0.618044 1.79453i
\(576\) −22.3103 21.3537i −0.929594 0.889738i
\(577\) 5.58171 25.0743i 0.232370 1.04386i −0.708665 0.705545i \(-0.750702\pi\)
0.941034 0.338311i \(-0.109856\pi\)
\(578\) 2.85615 11.4690i 0.118800 0.477046i
\(579\) 0.0502702 0.0108607i 0.00208916 0.000451357i
\(580\) 0.247874 13.2012i 0.0102924 0.548149i
\(581\) −31.5624 + 4.77651i −1.30943 + 0.198163i
\(582\) 0.0458730 + 0.813596i 0.00190150 + 0.0337246i
\(583\) −1.66473 + 15.5885i −0.0689459 + 0.645610i
\(584\) 10.4267 + 3.08735i 0.431460 + 0.127755i
\(585\) 17.6136 9.35274i 0.728232 0.386688i
\(586\) −4.88788 9.34586i −0.201917 0.386074i
\(587\) −24.0441 + 4.25686i −0.992404 + 0.175699i −0.646782 0.762675i \(-0.723886\pi\)
−0.345622 + 0.938374i \(0.612332\pi\)
\(588\) −0.549742 + 3.48505i −0.0226710 + 0.143721i
\(589\) 13.3469 7.30275i 0.549949 0.300905i
\(590\) −45.0810 66.6751i −1.85595 2.74497i
\(591\) −0.252789 + 0.254376i −0.0103984 + 0.0104636i
\(592\) 3.99215 + 15.2159i 0.164077 + 0.625369i
\(593\) −23.0347 20.4466i −0.945923 0.839642i 0.0412737 0.999148i \(-0.486858\pi\)
−0.987197 + 0.159506i \(0.949010\pi\)
\(594\) −0.0192890 + 3.08218i −0.000791438 + 0.126464i
\(595\) 71.8346 + 38.1439i 2.94493 + 1.56375i
\(596\) −27.8301 27.3125i −1.13997 1.11876i
\(597\) 0.0575301 + 0.0656350i 0.00235455 + 0.00268626i
\(598\) 16.1602 14.3445i 0.660838 0.586588i
\(599\) −2.29152 1.52855i −0.0936290 0.0624550i 0.507226 0.861813i \(-0.330671\pi\)
−0.600855 + 0.799358i \(0.705173\pi\)
\(600\) −0.122808 0.520856i −0.00501361 0.0212639i
\(601\) 0.367229 + 19.5577i 0.0149796 + 0.797776i 0.924297 + 0.381673i \(0.124652\pi\)
−0.909318 + 0.416102i \(0.863396\pi\)
\(602\) 9.58329 + 56.1751i 0.390586 + 2.28952i
\(603\) 15.9674 + 37.0638i 0.650242 + 1.50936i
\(604\) −18.6903 + 7.36758i −0.760499 + 0.299782i
\(605\) 13.9152 + 10.3244i 0.565734 + 0.419748i
\(606\) 1.30322 0.264530i 0.0529397 0.0107458i
\(607\) −10.5199 + 10.8543i −0.426988 + 0.440563i −0.896955 0.442121i \(-0.854226\pi\)
0.469967 + 0.882684i \(0.344266\pi\)
\(608\) −24.6374 + 20.2678i −0.999179 + 0.821969i
\(609\) −0.712783 + 0.191787i −0.0288834 + 0.00777159i
\(610\) 41.4236 + 1.55614i 1.67719 + 0.0630064i
\(611\) 21.4877 8.16105i 0.869299 0.330161i
\(612\) −22.7053 24.0215i −0.917807 0.971013i
\(613\) −1.29973 + 4.71274i −0.0524955 + 0.190346i −0.985549 0.169393i \(-0.945819\pi\)
0.933053 + 0.359739i \(0.117134\pi\)
\(614\) −57.3270 10.8911i −2.31353 0.439529i
\(615\) 2.30043 2.49563i 0.0927623 0.100634i
\(616\) 3.46217 + 7.04373i 0.139495 + 0.283800i
\(617\) −5.61165 22.5338i −0.225916 0.907176i −0.970782 0.239962i \(-0.922865\pi\)
0.744866 0.667214i \(-0.232513\pi\)
\(618\) 1.09506 0.0274179i 0.0440497 0.00110291i
\(619\) 41.2585 + 13.9215i 1.65832 + 0.559550i 0.983888 0.178786i \(-0.0572169\pi\)
0.674433 + 0.738336i \(0.264388\pi\)
\(620\) 5.85164 + 31.8881i 0.235008 + 1.28066i
\(621\) 3.21597 0.952248i 0.129052 0.0382124i
\(622\) −31.6801 + 31.0908i −1.27026 + 1.24663i
\(623\) 0.0845629 + 0.00636246i 0.00338794 + 0.000254906i
\(624\) −0.483458 + 0.349407i −0.0193538 + 0.0139875i
\(625\) −0.0559265 + 0.156015i −0.00223706 + 0.00624061i
\(626\) −3.12412 5.46365i −0.124865 0.218371i
\(627\) 0.967256 + 0.121701i 0.0386285 + 0.00486027i
\(628\) −0.491144 0.374027i −0.0195988 0.0149253i
\(629\) 4.71972 + 22.5279i 0.188188 + 0.898244i
\(630\) 92.4662 52.1071i 3.68394 2.07600i
\(631\) 25.5510 1.60111i 1.01717 0.0637393i 0.454774 0.890607i \(-0.349720\pi\)
0.562396 + 0.826868i \(0.309880\pi\)
\(632\) 4.54569 + 7.72381i 0.180818 + 0.307237i
\(633\) −0.561799 + 2.14127i −0.0223295 + 0.0851078i
\(634\) 11.4203 7.61788i 0.453558 0.302545i
\(635\) 26.9735 + 25.1778i 1.07041 + 0.999150i
\(636\) 1.44521 0.126946i 0.0573064 0.00503373i
\(637\) −26.6264 9.35707i −1.05498 0.370741i
\(638\) −5.21602 + 6.26029i −0.206504 + 0.247847i
\(639\) −16.5510 + 0.207169i −0.654749 + 0.00819547i
\(640\) −6.87416 17.7637i −0.271725 0.702170i
\(641\) 18.2748 37.1797i 0.721811 1.46851i −0.155121 0.987895i \(-0.549577\pi\)
0.876932 0.480615i \(-0.159587\pi\)
\(642\) 1.25915 + 0.272035i 0.0496945 + 0.0107364i
\(643\) 8.33191 35.3375i 0.328578 1.39358i −0.515285 0.857019i \(-0.672314\pi\)
0.843864 0.536557i \(-0.180276\pi\)
\(644\) 45.1559 42.1497i 1.77939 1.66093i
\(645\) −1.39417 + 1.55099i −0.0548955 + 0.0610700i
\(646\) −31.3140 + 23.2335i −1.23203 + 0.914110i
\(647\) −7.06378 + 11.3430i −0.277706 + 0.445939i −0.957904 0.287090i \(-0.907312\pi\)
0.680198 + 0.733029i \(0.261894\pi\)
\(648\) −5.83962 + 1.10942i −0.229402 + 0.0435822i
\(649\) −2.16818 + 26.5918i −0.0851087 + 1.04382i
\(650\) 30.9222 1.54942i 1.21287 0.0607733i
\(651\) 1.62155 0.809670i 0.0635534 0.0317335i
\(652\) 16.6110 25.9445i 0.650536 1.01606i
\(653\) 16.8029 7.87091i 0.657548 0.308012i −0.0664752 0.997788i \(-0.521175\pi\)
0.724023 + 0.689776i \(0.242291\pi\)
\(654\) 1.10705 + 1.68234i 0.0432892 + 0.0657848i
\(655\) 44.0112 + 35.2913i 1.71966 + 1.37894i
\(656\) 17.5443 25.2609i 0.684988 0.986271i
\(657\) −38.4085 + 30.0166i −1.49846 + 1.17106i
\(658\) 113.237 46.2828i 4.41444 1.80429i
\(659\) −11.3026 10.2884i −0.440285 0.400780i 0.422490 0.906368i \(-0.361156\pi\)
−0.862775 + 0.505588i \(0.831276\pi\)
\(660\) −0.892985 + 1.87570i −0.0347594 + 0.0730117i
\(661\) 27.2735 24.8263i 1.06082 0.965632i 0.0613437 0.998117i \(-0.480461\pi\)
0.999472 + 0.0324843i \(0.0103419\pi\)
\(662\) 5.39173 + 17.7992i 0.209556 + 0.691786i
\(663\) −0.732079 + 0.475201i −0.0284316 + 0.0184553i
\(664\) 3.68713 + 2.59516i 0.143089 + 0.100712i
\(665\) −25.8331 62.0917i −1.00176 2.40781i
\(666\) 28.0793 + 10.6645i 1.08805 + 0.413242i
\(667\) 8.16516 + 3.45720i 0.316156 + 0.133863i
\(668\) 1.51318 + 0.366790i 0.0585468 + 0.0141915i
\(669\) 0.210391 0.488363i 0.00813417 0.0188812i
\(670\) −3.17385 + 101.398i −0.122617 + 3.91734i
\(671\) −10.3900 8.99265i −0.401102 0.347157i
\(672\) −3.02361 + 2.30261i −0.116638 + 0.0888251i
\(673\) −30.5980 + 17.7510i −1.17947 + 0.684249i −0.956829 0.290652i \(-0.906128\pi\)
−0.222637 + 0.974901i \(0.571466\pi\)
\(674\) −34.6315 + 9.78464i −1.33395 + 0.376890i
\(675\) 4.44848 + 1.81821i 0.171222 + 0.0699828i
\(676\) −9.57533 20.1129i −0.368282 0.773572i
\(677\) 9.21730 30.4282i 0.354249 1.16945i −0.580535 0.814235i \(-0.697157\pi\)
0.934785 0.355215i \(-0.115592\pi\)
\(678\) −1.11127 3.84118i −0.0426782 0.147519i
\(679\) −18.5411 1.86276i −0.711541 0.0714860i
\(680\) −3.60468 10.9080i −0.138233 0.418301i
\(681\) 0.637984 0.871211i 0.0244476 0.0333849i
\(682\) 9.49387 17.6124i 0.363539 0.674413i
\(683\) −1.15781 + 26.4128i −0.0443023 + 1.01066i 0.839664 + 0.543106i \(0.182752\pi\)
−0.883966 + 0.467551i \(0.845137\pi\)
\(684\) 1.87996 + 27.2661i 0.0718821 + 1.04255i
\(685\) −31.1484 + 24.9770i −1.19012 + 0.954323i
\(686\) −77.5326 25.0846i −2.96021 0.957735i
\(687\) 0.0716055 + 0.364453i 0.00273192 + 0.0139047i
\(688\) −10.5848 + 15.6550i −0.403541 + 0.596841i
\(689\) −1.08781 + 11.5541i −0.0414421 + 0.440176i
\(690\) 4.16122 + 0.629740i 0.158415 + 0.0239738i
\(691\) 1.30912 7.67375i 0.0498012 0.291923i −0.949992 0.312275i \(-0.898909\pi\)
0.999793 + 0.0203519i \(0.00647866\pi\)
\(692\) −46.5487 + 11.2832i −1.76952 + 0.428925i
\(693\) −34.7187 5.69954i −1.31886 0.216508i
\(694\) −2.61810 + 46.4342i −0.0993818 + 1.76262i
\(695\) 0.226583 + 2.40664i 0.00859477 + 0.0912890i
\(696\) 0.0914634 + 0.0500441i 0.00346691 + 0.00189692i
\(697\) 27.4877 35.6300i 1.04117 1.34958i
\(698\) 30.8324 + 7.06630i 1.16702 + 0.267463i
\(699\) 1.29754 1.09493i 0.0490773 0.0414139i
\(700\) 88.2581 6.64048i 3.33584 0.250987i
\(701\) 5.04980 5.76122i 0.190728 0.217598i −0.648736 0.761014i \(-0.724702\pi\)
0.839464 + 0.543416i \(0.182869\pi\)
\(702\) 0.0142789 + 2.28162i 0.000538923 + 0.0861143i
\(703\) 8.82012 16.8645i 0.332657 0.636056i
\(704\) −7.76818 + 24.5334i −0.292774 + 0.924637i
\(705\) 3.90018 + 2.19785i 0.146889 + 0.0827758i
\(706\) 1.20216 + 0.581581i 0.0452440 + 0.0218881i
\(707\) 1.33171 + 30.3799i 0.0500839 + 1.14255i
\(708\) 2.45334 0.277536i 0.0922022 0.0104304i
\(709\) −8.58709 7.06412i −0.322495 0.265299i 0.460050 0.887893i \(-0.347832\pi\)
−0.782545 + 0.622595i \(0.786079\pi\)
\(710\) −37.8975 17.1771i −1.42227 0.644644i
\(711\) −40.0212 3.51542i −1.50091 0.131839i
\(712\) −0.00800742 0.00890808i −0.000300091 0.000333844i
\(713\) −21.3371 4.33104i −0.799081 0.162199i
\(714\) −3.83169 + 2.62580i −0.143397 + 0.0982682i
\(715\) −13.4686 9.73410i −0.503697 0.364035i
\(716\) 14.8195 + 12.5055i 0.553832 + 0.467351i
\(717\) 0.286913 + 0.381685i 0.0107150 + 0.0142543i
\(718\) −49.9834 + 6.28895i −1.86536 + 0.234701i
\(719\) −26.3070 15.2616i −0.981086 0.569163i −0.0772367 0.997013i \(-0.524610\pi\)
−0.903850 + 0.427850i \(0.859271\pi\)
\(720\) 34.0995 + 8.71889i 1.27081 + 0.324934i
\(721\) −3.28251 + 24.8331i −0.122247 + 0.924831i
\(722\) −7.24517 0.363034i −0.269637 0.0135107i
\(723\) 1.25056 0.548055i 0.0465088 0.0203824i
\(724\) 26.0673 + 3.61179i 0.968785 + 0.134231i
\(725\) 6.02841 + 11.1835i 0.223890 + 0.415345i
\(726\) −0.890803 + 0.430952i −0.0330608 + 0.0159941i
\(727\) −12.7307 0.797749i −0.472156 0.0295869i −0.175312 0.984513i \(-0.556093\pi\)
−0.296844 + 0.954926i \(0.595934\pi\)
\(728\) 2.62797 + 5.18172i 0.0973992 + 0.192047i
\(729\) 11.0775 24.0389i 0.410279 0.890330i
\(730\) −119.440 + 27.3737i −4.42066 + 1.01315i
\(731\) −16.6142 + 22.1021i −0.614499 + 0.817477i
\(732\) −0.631210 + 1.10390i −0.0233302 + 0.0408012i
\(733\) −14.4808 16.9441i −0.534861 0.625845i 0.425381 0.905014i \(-0.360140\pi\)
−0.960242 + 0.279169i \(0.909941\pi\)
\(734\) 25.3555 + 30.4318i 0.935889 + 1.12326i
\(735\) −1.91950 5.15086i −0.0708019 0.189992i
\(736\) 45.6510 + 0.571411i 1.68272 + 0.0210625i
\(737\) 21.8481 25.5647i 0.804787 0.941688i
\(738\) −19.8161 55.2800i −0.729440 2.03488i
\(739\) −40.3057 27.6209i −1.48267 1.01605i −0.989246 0.146263i \(-0.953275\pi\)
−0.493423 0.869790i \(-0.664254\pi\)
\(740\) 28.2249 + 29.1222i 1.03757 + 1.07055i
\(741\) 0.717094 + 0.0811217i 0.0263431 + 0.00298008i
\(742\) −4.24847 + 61.6179i −0.155966 + 2.26206i
\(743\) 24.8763 + 35.8178i 0.912622 + 1.31403i 0.949193 + 0.314695i \(0.101902\pi\)
−0.0365712 + 0.999331i \(0.511644\pi\)
\(744\) −0.244539 0.0757498i −0.00896525 0.00277712i
\(745\) 58.6658 + 15.7851i 2.14935 + 0.578320i
\(746\) 41.0257 18.5949i 1.50206 0.680809i
\(747\) −19.0689 + 6.70122i −0.697695 + 0.245185i
\(748\) −9.61806 + 25.8094i −0.351671 + 0.943686i
\(749\) −10.6313 + 27.4725i −0.388458 + 1.00382i
\(750\) 1.55649 + 1.68856i 0.0568348 + 0.0616575i
\(751\) 5.79168 + 9.30025i 0.211341 + 0.339371i 0.937396 0.348266i \(-0.113230\pi\)
−0.726054 + 0.687637i \(0.758648\pi\)
\(752\) 37.7400 + 14.8768i 1.37624 + 0.542501i
\(753\) 0.0718216 + 2.29455i 0.00261732 + 0.0836179i
\(754\) −3.80292 + 4.68221i −0.138494 + 0.170516i
\(755\) 19.7336 24.2963i 0.718179 0.884234i
\(756\) 0.204063 + 6.51937i 0.00742168 + 0.237107i
\(757\) 38.3205 + 15.1056i 1.39278 + 0.549023i 0.939563 0.342377i \(-0.111232\pi\)
0.453218 + 0.891400i \(0.350276\pi\)
\(758\) −11.0900 17.8083i −0.402808 0.646827i
\(759\) −0.945557 1.02579i −0.0343215 0.0372339i
\(760\) −3.42818 + 8.85884i −0.124353 + 0.321344i
\(761\) 13.2603 35.5832i 0.480687 1.28989i −0.439441 0.898272i \(-0.644823\pi\)
0.920127 0.391620i \(-0.128085\pi\)
\(762\) −1.98812 + 0.698668i −0.0720221 + 0.0253101i
\(763\) −41.9455 + 19.0119i −1.51853 + 0.688276i
\(764\) 24.7594 + 6.66195i 0.895764 + 0.241021i
\(765\) 49.1925 + 15.2381i 1.77856 + 0.550935i
\(766\) 8.45494 + 12.1737i 0.305489 + 0.439855i
\(767\) −1.35852 + 19.7034i −0.0490534 + 0.711449i
\(768\) −0.958241 0.108402i −0.0345776 0.00391161i
\(769\) 31.5908 + 32.5951i 1.13919 + 1.17541i 0.982205 + 0.187810i \(0.0601390\pi\)
0.156989 + 0.987600i \(0.449821\pi\)
\(770\) −72.9557 49.9956i −2.62914 1.80171i
\(771\) 0.0501991 + 0.140038i 0.00180788 + 0.00504335i
\(772\) 0.780573 0.913355i 0.0280935 0.0328724i