Properties

Label 503.2.c.a.2.19
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 2.19
Character \(\chi\) \(=\) 503.2
Dual form 503.2.c.a.252.19

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.225034 - 0.277066i) q^{2} +(-0.186491 + 0.161409i) q^{3} +(0.383983 - 1.83280i) q^{4} +(0.927472 + 2.92913i) q^{5} +(0.0866877 + 0.0153475i) q^{6} +(-0.576054 + 1.67260i) q^{7} +(-1.22886 + 0.632932i) q^{8} +(-0.421597 + 2.90877i) q^{9} +O(q^{10})\) \(q+(-0.225034 - 0.277066i) q^{2} +(-0.186491 + 0.161409i) q^{3} +(0.383983 - 1.83280i) q^{4} +(0.927472 + 2.92913i) q^{5} +(0.0866877 + 0.0153475i) q^{6} +(-0.576054 + 1.67260i) q^{7} +(-1.22886 + 0.632932i) q^{8} +(-0.421597 + 2.90877i) q^{9} +(0.602849 - 0.916125i) q^{10} +(-3.22302 + 1.04276i) q^{11} +(0.224222 + 0.403779i) q^{12} +(-2.34736 + 0.792046i) q^{13} +(0.593053 - 0.216788i) q^{14} +(-0.645754 - 0.396553i) q^{15} +(-2.97834 - 1.30525i) q^{16} +(-5.70024 - 2.84624i) q^{17} +(0.900795 - 0.537763i) q^{18} +(2.32308 + 5.21188i) q^{19} +(5.72465 - 0.575135i) q^{20} +(-0.162545 - 0.404905i) q^{21} +(1.01420 + 0.658330i) q^{22} +(0.793009 - 2.74108i) q^{23} +(0.127010 - 0.316385i) q^{24} +(-3.63083 + 2.55553i) q^{25} +(0.747684 + 0.472135i) q^{26} +(-0.789849 - 1.23365i) q^{27} +(2.84436 + 1.69804i) q^{28} +(0.610455 - 5.10976i) q^{29} +(0.0354454 + 0.268154i) q^{30} +(0.577153 + 7.07851i) q^{31} +(1.04359 + 3.78399i) q^{32} +(0.432751 - 0.714691i) q^{33} +(0.494152 + 2.21984i) q^{34} +(-5.43355 - 0.136044i) q^{35} +(5.16932 + 1.88963i) q^{36} +(6.67682 + 8.43416i) q^{37} +(0.921260 - 1.81650i) q^{38} +(0.309917 - 0.526595i) q^{39} +(-2.99367 - 3.01247i) q^{40} +(1.21801 - 6.19934i) q^{41} +(-0.0756071 + 0.136153i) q^{42} +(-0.335582 + 1.82873i) q^{43} +(0.673596 + 6.30756i) q^{44} +(-8.91120 + 1.46289i) q^{45} +(-0.937912 + 0.397120i) q^{46} +(3.35408 - 0.126001i) q^{47} +(0.766112 - 0.237315i) q^{48} +(3.04971 + 2.38338i) q^{49} +(1.52511 + 0.430899i) q^{50} +(1.52245 - 0.389275i) q^{51} +(0.550317 + 4.60638i) q^{52} +(3.31522 - 7.43775i) q^{53} +(-0.164060 + 0.496454i) q^{54} +(-6.04365 - 8.47351i) q^{55} +(-0.350754 - 2.42000i) q^{56} +(-1.27448 - 0.596999i) q^{57} +(-1.55311 + 0.980733i) q^{58} +(-1.19334 + 2.86827i) q^{59} +(-0.974762 + 1.03127i) q^{60} +(0.0577074 + 0.0953043i) q^{61} +(1.83133 - 1.75281i) q^{62} +(-4.62236 - 2.38077i) q^{63} +(-2.96290 + 4.15414i) q^{64} +(-4.49711 - 6.14112i) q^{65} +(-0.295400 + 0.0409294i) q^{66} +(8.58907 - 5.27448i) q^{67} +(-7.40540 + 9.35451i) q^{68} +(0.294547 + 0.639184i) q^{69} +(1.18504 + 1.53606i) q^{70} +(2.56237 + 16.2440i) q^{71} +(-1.32297 - 3.84132i) q^{72} +(2.28693 + 2.18887i) q^{73} +(0.834306 - 3.74789i) q^{74} +(0.264630 - 1.06263i) q^{75} +(10.4444 - 2.25648i) q^{76} +(0.112501 - 5.99152i) q^{77} +(-0.215643 + 0.0326344i) q^{78} +(0.794754 + 14.0956i) q^{79} +(1.06093 - 9.93453i) q^{80} +(-8.10824 - 2.40085i) q^{81} +(-1.99172 + 1.05759i) q^{82} +(-2.37547 - 4.54200i) q^{83} +(-0.804526 + 0.142437i) q^{84} +(3.05021 - 19.3366i) q^{85} +(0.582196 - 0.318548i) q^{86} +(0.710919 + 1.05145i) q^{87} +(3.30064 - 3.32136i) q^{88} +(-2.02498 - 7.71809i) q^{89} +(2.41064 + 2.13979i) q^{90} +(0.0274265 - 4.38246i) q^{91} +(-4.71935 - 2.50596i) q^{92} +(-1.25017 - 1.22692i) q^{93} +(-0.789693 - 0.900946i) q^{94} +(-13.1117 + 11.6385i) q^{95} +(-0.805390 - 0.537234i) q^{96} +(-4.15399 - 17.6180i) q^{97} +(-0.0259364 - 1.38131i) q^{98} +(-1.67435 - 9.81466i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.225034 0.277066i −0.159123 0.195915i 0.690459 0.723372i \(-0.257409\pi\)
−0.849582 + 0.527457i \(0.823146\pi\)
\(3\) −0.186491 + 0.161409i −0.107670 + 0.0931897i −0.706605 0.707608i \(-0.749774\pi\)
0.598935 + 0.800798i \(0.295591\pi\)
\(4\) 0.383983 1.83280i 0.191992 0.916401i
\(5\) 0.927472 + 2.92913i 0.414778 + 1.30995i 0.900127 + 0.435627i \(0.143473\pi\)
−0.485349 + 0.874320i \(0.661308\pi\)
\(6\) 0.0866877 + 0.0153475i 0.0353901 + 0.00626561i
\(7\) −0.576054 + 1.67260i −0.217728 + 0.632185i 0.782230 + 0.622990i \(0.214082\pi\)
−0.999958 + 0.00919480i \(0.997073\pi\)
\(8\) −1.22886 + 0.632932i −0.434468 + 0.223775i
\(9\) −0.421597 + 2.90877i −0.140532 + 0.969591i
\(10\) 0.602849 0.916125i 0.190638 0.289704i
\(11\) −3.22302 + 1.04276i −0.971777 + 0.314405i −0.750547 0.660817i \(-0.770210\pi\)
−0.221229 + 0.975222i \(0.571007\pi\)
\(12\) 0.224222 + 0.403779i 0.0647274 + 0.116561i
\(13\) −2.34736 + 0.792046i −0.651040 + 0.219674i −0.625771 0.780007i \(-0.715216\pi\)
−0.0252692 + 0.999681i \(0.508044\pi\)
\(14\) 0.593053 0.216788i 0.158500 0.0579390i
\(15\) −0.645754 0.396553i −0.166733 0.102389i
\(16\) −2.97834 1.30525i −0.744585 0.326313i
\(17\) −5.70024 2.84624i −1.38251 0.690315i −0.407652 0.913137i \(-0.633652\pi\)
−0.974859 + 0.222822i \(0.928473\pi\)
\(18\) 0.900795 0.537763i 0.212319 0.126752i
\(19\) 2.32308 + 5.21188i 0.532952 + 1.19569i 0.957011 + 0.290052i \(0.0936727\pi\)
−0.424059 + 0.905635i \(0.639395\pi\)
\(20\) 5.72465 0.575135i 1.28007 0.128604i
\(21\) −0.162545 0.404905i −0.0354703 0.0883576i
\(22\) 1.01420 + 0.658330i 0.216229 + 0.140357i
\(23\) 0.793009 2.74108i 0.165354 0.571554i −0.834437 0.551103i \(-0.814207\pi\)
0.999791 0.0204505i \(-0.00651006\pi\)
\(24\) 0.127010 0.316385i 0.0259258 0.0645819i
\(25\) −3.63083 + 2.55553i −0.726167 + 0.511106i
\(26\) 0.747684 + 0.472135i 0.146633 + 0.0925934i
\(27\) −0.789849 1.23365i −0.152006 0.237417i
\(28\) 2.84436 + 1.69804i 0.537533 + 0.320900i
\(29\) 0.610455 5.10976i 0.113359 0.948858i −0.815585 0.578637i \(-0.803585\pi\)
0.928944 0.370221i \(-0.120718\pi\)
\(30\) 0.0354454 + 0.268154i 0.00647142 + 0.0489580i
\(31\) 0.577153 + 7.07851i 0.103660 + 1.27134i 0.819502 + 0.573076i \(0.194250\pi\)
−0.715842 + 0.698262i \(0.753957\pi\)
\(32\) 1.04359 + 3.78399i 0.184482 + 0.668921i
\(33\) 0.432751 0.714691i 0.0753323 0.124412i
\(34\) 0.494152 + 2.21984i 0.0847464 + 0.380700i
\(35\) −5.43355 0.136044i −0.918437 0.0229957i
\(36\) 5.16932 + 1.88963i 0.861554 + 0.314938i
\(37\) 6.67682 + 8.43416i 1.09766 + 1.38657i 0.915030 + 0.403387i \(0.132167\pi\)
0.182633 + 0.983181i \(0.441538\pi\)
\(38\) 0.921260 1.81650i 0.149448 0.294675i
\(39\) 0.309917 0.526595i 0.0496264 0.0843227i
\(40\) −2.99367 3.01247i −0.473341 0.476313i
\(41\) 1.21801 6.19934i 0.190221 0.968174i −0.758407 0.651781i \(-0.774022\pi\)
0.948628 0.316393i \(-0.102472\pi\)
\(42\) −0.0756071 + 0.136153i −0.0116664 + 0.0210089i
\(43\) −0.335582 + 1.82873i −0.0511758 + 0.278879i −0.999230 0.0392294i \(-0.987510\pi\)
0.948054 + 0.318108i \(0.103048\pi\)
\(44\) 0.673596 + 6.30756i 0.101548 + 0.950901i
\(45\) −8.91120 + 1.46289i −1.32840 + 0.218075i
\(46\) −0.937912 + 0.397120i −0.138288 + 0.0585521i
\(47\) 3.35408 0.126001i 0.489243 0.0183792i 0.208224 0.978081i \(-0.433232\pi\)
0.281020 + 0.959702i \(0.409327\pi\)
\(48\) 0.766112 0.237315i 0.110579 0.0342534i
\(49\) 3.04971 + 2.38338i 0.435673 + 0.340483i
\(50\) 1.52511 + 0.430899i 0.215683 + 0.0609383i
\(51\) 1.52245 0.389275i 0.213186 0.0545094i
\(52\) 0.550317 + 4.60638i 0.0763152 + 0.638790i
\(53\) 3.31522 7.43775i 0.455381 1.02165i −0.529483 0.848321i \(-0.677614\pi\)
0.984863 0.173333i \(-0.0554538\pi\)
\(54\) −0.164060 + 0.496454i −0.0223257 + 0.0675588i
\(55\) −6.04365 8.47351i −0.814926 1.14257i
\(56\) −0.350754 2.42000i −0.0468715 0.323386i
\(57\) −1.27448 0.596999i −0.168809 0.0790744i
\(58\) −1.55311 + 0.980733i −0.203934 + 0.128777i
\(59\) −1.19334 + 2.86827i −0.155359 + 0.373417i −0.981884 0.189483i \(-0.939319\pi\)
0.826524 + 0.562901i \(0.190315\pi\)
\(60\) −0.974762 + 1.03127i −0.125841 + 0.133136i
\(61\) 0.0577074 + 0.0953043i 0.00738868 + 0.0122025i 0.859080 0.511841i \(-0.171036\pi\)
−0.851691 + 0.524044i \(0.824423\pi\)
\(62\) 1.83133 1.75281i 0.232580 0.222608i
\(63\) −4.62236 2.38077i −0.582363 0.299949i
\(64\) −2.96290 + 4.15414i −0.370363 + 0.519268i
\(65\) −4.49711 6.14112i −0.557798 0.761712i
\(66\) −0.295400 + 0.0409294i −0.0363612 + 0.00503806i
\(67\) 8.58907 5.27448i 1.04932 0.644381i 0.112308 0.993673i \(-0.464176\pi\)
0.937014 + 0.349293i \(0.113578\pi\)
\(68\) −7.40540 + 9.35451i −0.898037 + 1.13440i
\(69\) 0.294547 + 0.639184i 0.0354592 + 0.0769487i
\(70\) 1.18504 + 1.53606i 0.141639 + 0.183595i
\(71\) 2.56237 + 16.2440i 0.304098 + 1.92781i 0.367947 + 0.929847i \(0.380061\pi\)
−0.0638489 + 0.997960i \(0.520338\pi\)
\(72\) −1.32297 3.84132i −0.155914 0.452704i
\(73\) 2.28693 + 2.18887i 0.267664 + 0.256188i 0.813314 0.581825i \(-0.197661\pi\)
−0.545649 + 0.838014i \(0.683717\pi\)
\(74\) 0.834306 3.74789i 0.0969861 0.435684i
\(75\) 0.264630 1.06263i 0.0305569 0.122702i
\(76\) 10.4444 2.25648i 1.19805 0.258836i
\(77\) 0.112501 5.99152i 0.0128207 0.682797i
\(78\) −0.215643 + 0.0326344i −0.0244168 + 0.00369512i
\(79\) 0.794754 + 14.0956i 0.0894168 + 1.58588i 0.651401 + 0.758734i \(0.274182\pi\)
−0.561984 + 0.827148i \(0.689962\pi\)
\(80\) 1.06093 9.93453i 0.118615 1.11071i
\(81\) −8.10824 2.40085i −0.900915 0.266761i
\(82\) −1.99172 + 1.05759i −0.219948 + 0.116792i
\(83\) −2.37547 4.54200i −0.260741 0.498549i 0.719972 0.694004i \(-0.244155\pi\)
−0.980713 + 0.195454i \(0.937382\pi\)
\(84\) −0.804526 + 0.142437i −0.0877810 + 0.0155411i
\(85\) 3.05021 19.3366i 0.330841 2.09734i
\(86\) 0.582196 0.318548i 0.0627798 0.0343499i
\(87\) 0.710919 + 1.05145i 0.0762185 + 0.112728i
\(88\) 3.30064 3.32136i 0.351850 0.354059i
\(89\) −2.02498 7.71809i −0.214647 0.818116i −0.983833 0.179091i \(-0.942684\pi\)
0.769186 0.639025i \(-0.220662\pi\)
\(90\) 2.41064 + 2.13979i 0.254104 + 0.225553i
\(91\) 0.0274265 4.38246i 0.00287508 0.459407i
\(92\) −4.71935 2.50596i −0.492026 0.261264i
\(93\) −1.25017 1.22692i −0.129637 0.127225i
\(94\) −0.789693 0.900946i −0.0814506 0.0929255i
\(95\) −13.1117 + 11.6385i −1.34523 + 1.19408i
\(96\) −0.805390 0.537234i −0.0821998 0.0548312i
\(97\) −4.15399 17.6180i −0.421773 1.78884i −0.594748 0.803912i \(-0.702748\pi\)
0.172975 0.984926i \(-0.444662\pi\)
\(98\) −0.0259364 1.38131i −0.00261997 0.139534i
\(99\) −1.67435 9.81466i −0.168278 0.986410i
\(100\) 3.28960 + 7.63589i 0.328960 + 0.763589i
\(101\) 13.7713 5.42853i 1.37029 0.540159i 0.437062 0.899432i \(-0.356019\pi\)
0.933233 + 0.359273i \(0.116975\pi\)
\(102\) −0.450458 0.334219i −0.0446020 0.0330926i
\(103\) 4.15379 0.843143i 0.409285 0.0830773i 0.0101027 0.999949i \(-0.496784\pi\)
0.399182 + 0.916872i \(0.369294\pi\)
\(104\) 2.38327 2.45903i 0.233699 0.241128i
\(105\) 1.03526 0.851654i 0.101031 0.0831130i
\(106\) −2.80678 + 0.755214i −0.272619 + 0.0733529i
\(107\) 6.82037 + 0.256218i 0.659350 + 0.0247695i 0.365114 0.930963i \(-0.381030\pi\)
0.294237 + 0.955733i \(0.404935\pi\)
\(108\) −2.56433 + 0.973935i −0.246753 + 0.0937169i
\(109\) −1.11524 1.17989i −0.106821 0.113013i 0.671127 0.741343i \(-0.265811\pi\)
−0.777947 + 0.628330i \(0.783739\pi\)
\(110\) −0.987691 + 3.58132i −0.0941727 + 0.341465i
\(111\) −2.60652 0.495191i −0.247400 0.0470015i
\(112\) 3.89885 4.22969i 0.368407 0.399668i
\(113\) 4.83184 + 9.83029i 0.454541 + 0.924756i 0.996439 + 0.0843115i \(0.0268691\pi\)
−0.541898 + 0.840444i \(0.682294\pi\)
\(114\) 0.121393 + 0.487460i 0.0113695 + 0.0456548i
\(115\) 8.76446 0.219443i 0.817290 0.0204632i
\(116\) −9.13077 3.08090i −0.847771 0.286055i
\(117\) −1.31424 7.16186i −0.121502 0.662114i
\(118\) 1.06324 0.314826i 0.0978793 0.0289821i
\(119\) 8.04428 7.89465i 0.737418 0.723702i
\(120\) 1.04453 + 0.0785899i 0.0953523 + 0.00717425i
\(121\) 0.385149 0.278357i 0.0350135 0.0253051i
\(122\) 0.0134194 0.0374354i 0.00121494 0.00338925i
\(123\) 0.773484 + 1.35272i 0.0697427 + 0.121970i
\(124\) 13.1951 + 1.66022i 1.18496 + 0.149092i
\(125\) 1.36882 + 1.04241i 0.122431 + 0.0932361i
\(126\) 0.380558 + 1.81645i 0.0339028 + 0.161823i
\(127\) −14.1227 + 7.95848i −1.25318 + 0.706201i −0.967681 0.252177i \(-0.918853\pi\)
−0.285502 + 0.958378i \(0.592160\pi\)
\(128\) 9.65287 0.604881i 0.853201 0.0534645i
\(129\) −0.232591 0.395207i −0.0204785 0.0347960i
\(130\) −0.689490 + 2.62796i −0.0604723 + 0.230487i
\(131\) −5.73422 + 3.82500i −0.501001 + 0.334192i −0.779665 0.626197i \(-0.784611\pi\)
0.278664 + 0.960389i \(0.410109\pi\)
\(132\) −1.14372 1.06758i −0.0995480 0.0929206i
\(133\) −10.0556 + 0.883276i −0.871933 + 0.0765898i
\(134\) −3.39421 1.19280i −0.293215 0.103042i
\(135\) 2.88097 3.45775i 0.247954 0.297596i
\(136\) 8.80628 0.110228i 0.755132 0.00945196i
\(137\) 1.43365 + 3.70473i 0.122485 + 0.316516i 0.980322 0.197406i \(-0.0632517\pi\)
−0.857837 + 0.513922i \(0.828192\pi\)
\(138\) 0.110813 0.225447i 0.00943302 0.0191913i
\(139\) −23.0184 4.97306i −1.95239 0.421810i −0.986881 0.161449i \(-0.948383\pi\)
−0.965511 0.260360i \(-0.916159\pi\)
\(140\) −2.33573 + 9.90638i −0.197406 + 0.837242i
\(141\) −0.605167 + 0.564878i −0.0509643 + 0.0475713i
\(142\) 3.92403 4.36540i 0.329297 0.366336i
\(143\) 6.73967 5.00052i 0.563599 0.418164i
\(144\) 5.05234 8.11303i 0.421028 0.676086i
\(145\) 15.5333 2.95105i 1.28997 0.245072i
\(146\) 0.0918258 1.12620i 0.00759956 0.0932050i
\(147\) −0.953442 + 0.0477742i −0.0786386 + 0.00394035i
\(148\) 18.0219 8.99872i 1.48139 0.739690i
\(149\) −4.80260 + 7.50111i −0.393444 + 0.614515i −0.980847 0.194780i \(-0.937601\pi\)
0.587403 + 0.809295i \(0.300150\pi\)
\(150\) −0.353970 + 0.165809i −0.0289015 + 0.0135382i
\(151\) 3.59864 + 5.46870i 0.292853 + 0.445037i 0.951605 0.307323i \(-0.0994333\pi\)
−0.658752 + 0.752360i \(0.728915\pi\)
\(152\) −6.15351 4.93432i −0.499116 0.400226i
\(153\) 10.6823 15.3807i 0.863611 1.24346i
\(154\) −1.68536 + 1.31713i −0.135810 + 0.106137i
\(155\) −20.1986 + 8.25567i −1.62239 + 0.663112i
\(156\) −0.846142 0.770220i −0.0677456 0.0616670i
\(157\) 3.20843 6.73927i 0.256061 0.537853i −0.733890 0.679269i \(-0.762297\pi\)
0.989950 + 0.141416i \(0.0451656\pi\)
\(158\) 3.72657 3.39219i 0.296470 0.269868i
\(159\) 0.582266 + 1.92218i 0.0461767 + 0.152439i
\(160\) −10.1159 + 6.56634i −0.799732 + 0.519115i
\(161\) 4.12792 + 2.90540i 0.325325 + 0.228977i
\(162\) 1.15944 + 2.78679i 0.0910939 + 0.218951i
\(163\) 8.93056 + 3.39183i 0.699496 + 0.265669i 0.679018 0.734121i \(-0.262406\pi\)
0.0204774 + 0.999790i \(0.493481\pi\)
\(164\) −10.8945 4.61281i −0.850715 0.360200i
\(165\) 2.49479 + 0.604728i 0.194219 + 0.0470780i
\(166\) −0.723872 + 1.68026i −0.0561833 + 0.130414i
\(167\) 0.650260 20.7744i 0.0503186 1.60757i −0.568935 0.822382i \(-0.692645\pi\)
0.619254 0.785191i \(-0.287435\pi\)
\(168\) 0.456023 + 0.394692i 0.0351829 + 0.0304512i
\(169\) −5.45966 + 4.15776i −0.419974 + 0.319828i
\(170\) −6.04390 + 3.50628i −0.463546 + 0.268919i
\(171\) −16.1396 + 4.56001i −1.23422 + 0.348713i
\(172\) 3.22284 + 1.31726i 0.245740 + 0.100440i
\(173\) −1.74706 3.66968i −0.132827 0.279001i 0.825644 0.564191i \(-0.190812\pi\)
−0.958471 + 0.285190i \(0.907943\pi\)
\(174\) 0.131341 0.433584i 0.00995695 0.0328699i
\(175\) −2.18283 7.54507i −0.165007 0.570354i
\(176\) 10.9603 + 1.10114i 0.826165 + 0.0830018i
\(177\) −0.240420 0.727522i −0.0180711 0.0546839i
\(178\) −1.68273 + 2.29788i −0.126126 + 0.172234i
\(179\) −7.72317 + 14.3275i −0.577257 + 1.07089i 0.410050 + 0.912063i \(0.365511\pi\)
−0.987307 + 0.158823i \(0.949230\pi\)
\(180\) −0.740559 + 16.8942i −0.0551980 + 1.25922i
\(181\) 1.22966 + 17.8344i 0.0913996 + 1.32562i 0.791322 + 0.611400i \(0.209393\pi\)
−0.699922 + 0.714219i \(0.746782\pi\)
\(182\) −1.22040 + 0.978604i −0.0904622 + 0.0725390i
\(183\) −0.0261449 0.00845883i −0.00193269 0.000625295i
\(184\) 0.760417 + 3.87032i 0.0560587 + 0.285324i
\(185\) −18.5122 + 27.3797i −1.36104 + 2.01300i
\(186\) −0.0586057 + 0.622478i −0.00429718 + 0.0456423i
\(187\) 21.3399 + 3.22949i 1.56053 + 0.236164i
\(188\) 1.05698 6.19575i 0.0770879 0.451872i
\(189\) 2.51841 0.610453i 0.183187 0.0444040i
\(190\) 6.17520 + 1.01374i 0.447996 + 0.0735445i
\(191\) 0.143623 2.54727i 0.0103922 0.184314i −0.988956 0.148210i \(-0.952649\pi\)
0.999348 0.0361037i \(-0.0114947\pi\)
\(192\) −0.117964 1.25295i −0.00851331 0.0904238i
\(193\) −1.17920 0.645196i −0.0848804 0.0464423i 0.436996 0.899464i \(-0.356043\pi\)
−0.521876 + 0.853021i \(0.674768\pi\)
\(194\) −3.94656 + 5.11558i −0.283346 + 0.367277i
\(195\) 1.82990 + 0.419385i 0.131042 + 0.0300328i
\(196\) 5.53930 4.67434i 0.395664 0.333882i
\(197\) −17.8060 + 1.33971i −1.26863 + 0.0954506i −0.692205 0.721701i \(-0.743360\pi\)
−0.576422 + 0.817152i \(0.695552\pi\)
\(198\) −2.34252 + 2.67254i −0.166476 + 0.189929i
\(199\) −0.120634 19.2760i −0.00855150 1.36644i −0.734461 0.678651i \(-0.762565\pi\)
0.725910 0.687790i \(-0.241419\pi\)
\(200\) 2.84431 5.43846i 0.201123 0.384557i
\(201\) −0.750429 + 2.37000i −0.0529312 + 0.167167i
\(202\) −4.60307 2.59395i −0.323871 0.182510i
\(203\) 8.19494 + 3.96454i 0.575172 + 0.278256i
\(204\) −0.128868 2.93983i −0.00902255 0.205829i
\(205\) 19.2883 2.18201i 1.34716 0.152398i
\(206\) −1.16835 0.961136i −0.0814028 0.0669655i
\(207\) 7.63884 + 3.46231i 0.530936 + 0.240647i
\(208\) 8.02505 + 0.704913i 0.556437 + 0.0488769i
\(209\) −12.9221 14.3756i −0.893841 0.994378i
\(210\) −0.468934 0.0951850i −0.0323595 0.00656839i
\(211\) 3.20658 2.19743i 0.220750 0.151277i −0.449830 0.893114i \(-0.648515\pi\)
0.670580 + 0.741837i \(0.266045\pi\)
\(212\) −12.3589 8.93212i −0.848816 0.613460i
\(213\) −3.09979 2.61576i −0.212394 0.179229i
\(214\) −1.46383 1.94735i −0.100065 0.133118i
\(215\) −5.66783 + 0.713131i −0.386543 + 0.0486351i
\(216\) 1.75143 + 1.01607i 0.119170 + 0.0691346i
\(217\) −12.1720 3.11225i −0.826290 0.211274i
\(218\) −0.0759405 + 0.574510i −0.00514334 + 0.0389107i
\(219\) −0.779795 0.0390733i −0.0526937 0.00264033i
\(220\) −17.8509 + 7.82314i −1.20351 + 0.527436i
\(221\) 15.6349 + 2.16630i 1.05171 + 0.145721i
\(222\) 0.449355 + 0.833611i 0.0301587 + 0.0559483i
\(223\) −12.1264 + 5.86650i −0.812044 + 0.392850i −0.794702 0.607000i \(-0.792373\pi\)
−0.0173418 + 0.999850i \(0.505520\pi\)
\(224\) −6.93027 0.434274i −0.463048 0.0290162i
\(225\) −5.90271 11.6387i −0.393514 0.775912i
\(226\) 1.63631 3.55088i 0.108846 0.236201i
\(227\) −2.47592 + 0.567441i −0.164332 + 0.0376624i −0.304764 0.952428i \(-0.598577\pi\)
0.140431 + 0.990090i \(0.455151\pi\)
\(228\) −1.58356 + 2.10663i −0.104874 + 0.139515i
\(229\) −4.04647 + 7.07671i −0.267398 + 0.467642i −0.969721 0.244217i \(-0.921469\pi\)
0.702322 + 0.711859i \(0.252146\pi\)
\(230\) −2.03310 2.37895i −0.134059 0.156863i
\(231\) 0.946107 + 1.13552i 0.0622493 + 0.0747118i
\(232\) 2.48396 + 6.66556i 0.163080 + 0.437615i
\(233\) −2.58183 0.0323166i −0.169141 0.00211713i −0.0720994 0.997397i \(-0.522970\pi\)
−0.0970417 + 0.995280i \(0.530938\pi\)
\(234\) −1.68856 + 1.97579i −0.110384 + 0.129162i
\(235\) 3.47989 + 9.70768i 0.227003 + 0.633259i
\(236\) 4.79876 + 3.28852i 0.312372 + 0.214065i
\(237\) −2.42338 2.50042i −0.157415 0.162420i
\(238\) −3.99757 0.452228i −0.259124 0.0293136i
\(239\) 0.575161 8.34188i 0.0372041 0.539591i −0.941856 0.336018i \(-0.890920\pi\)
0.979060 0.203573i \(-0.0652555\pi\)
\(240\) 1.40567 + 2.02394i 0.0907358 + 0.130645i
\(241\) 23.4778 + 7.27260i 1.51234 + 0.468469i 0.936965 0.349422i \(-0.113622\pi\)
0.575372 + 0.817892i \(0.304857\pi\)
\(242\) −0.163795 0.0440718i −0.0105291 0.00283304i
\(243\) 5.90221 2.67518i 0.378627 0.171613i
\(244\) 0.196833 0.0691711i 0.0126009 0.00442823i
\(245\) −4.15271 + 11.1435i −0.265307 + 0.711933i
\(246\) 0.200731 0.518713i 0.0127981 0.0330719i
\(247\) −9.58116 10.3942i −0.609634 0.661365i
\(248\) −5.18946 8.33320i −0.329531 0.529159i
\(249\) 1.17612 + 0.463618i 0.0745338 + 0.0293806i
\(250\) −0.0192135 0.613830i −0.00121517 0.0388220i
\(251\) −7.03792 + 8.66520i −0.444229 + 0.546943i −0.948572 0.316561i \(-0.897472\pi\)
0.504343 + 0.863504i \(0.331735\pi\)
\(252\) −6.13840 + 7.55770i −0.386683 + 0.476090i
\(253\) 0.302413 + 9.66146i 0.0190125 + 0.607411i
\(254\) 5.38310 + 2.12197i 0.337766 + 0.133144i
\(255\) 2.55227 + 4.09842i 0.159829 + 0.256653i
\(256\) 4.57681 + 4.96517i 0.286051 + 0.310323i
\(257\) −8.59357 + 22.2068i −0.536052 + 1.38522i 0.356506 + 0.934293i \(0.383968\pi\)
−0.892559 + 0.450931i \(0.851092\pi\)
\(258\) −0.0571574 + 0.153378i −0.00355846 + 0.00954890i
\(259\) −17.9532 + 6.30914i −1.11556 + 0.392031i
\(260\) −12.9823 + 5.88424i −0.805127 + 0.364925i
\(261\) 14.6058 + 3.92994i 0.904074 + 0.243257i
\(262\) 2.35017 + 0.728001i 0.145194 + 0.0449760i
\(263\) 12.0080 + 17.2896i 0.740447 + 1.06612i 0.995079 + 0.0990851i \(0.0315916\pi\)
−0.254632 + 0.967038i \(0.581954\pi\)
\(264\) −0.0794397 + 1.15216i −0.00488918 + 0.0709104i
\(265\) 24.8609 + 2.81241i 1.52719 + 0.172765i
\(266\) 2.50758 + 2.58730i 0.153750 + 0.158638i
\(267\) 1.62341 + 1.11250i 0.0993512 + 0.0680840i
\(268\) −6.36903 17.7674i −0.389050 1.08532i
\(269\) −1.24235 + 1.45369i −0.0757476 + 0.0886329i −0.796784 0.604265i \(-0.793467\pi\)
0.721036 + 0.692898i \(0.243666\pi\)
\(270\) −1.60634 0.0201065i −0.0977587 0.00122364i
\(271\) 8.30925 + 22.2973i 0.504751 + 1.35447i 0.899999 + 0.435892i \(0.143567\pi\)
−0.395248 + 0.918574i \(0.629341\pi\)
\(272\) 13.2622 + 15.9173i 0.804138 + 0.965130i
\(273\) 0.702256 + 0.821715i 0.0425024 + 0.0497324i
\(274\) 0.703833 1.23091i 0.0425201 0.0743617i
\(275\) 9.03743 12.0226i 0.544978 0.724991i
\(276\) 1.28460 0.294410i 0.0773238 0.0177214i
\(277\) 11.5767 25.1222i 0.695579 1.50945i −0.157418 0.987532i \(-0.550317\pi\)
0.852997 0.521916i \(-0.174783\pi\)
\(278\) 3.80205 + 7.49671i 0.228032 + 0.449623i
\(279\) −20.8331 1.30547i −1.24725 0.0781566i
\(280\) 6.76318 3.27189i 0.404177 0.195533i
\(281\) 13.8258 + 25.6486i 0.824776 + 1.53007i 0.847790 + 0.530331i \(0.177932\pi\)
−0.0230148 + 0.999735i \(0.507326\pi\)
\(282\) 0.292692 + 0.0405542i 0.0174295 + 0.00241497i
\(283\) −4.10379 + 1.79848i −0.243945 + 0.106908i −0.519791 0.854293i \(-0.673990\pi\)
0.275846 + 0.961202i \(0.411042\pi\)
\(284\) 30.7559 + 1.54109i 1.82503 + 0.0914469i
\(285\) 0.566645 4.28682i 0.0335651 0.253929i
\(286\) −2.90213 0.742043i −0.171606 0.0438779i
\(287\) 9.66740 + 5.60840i 0.570648 + 0.331053i
\(288\) −11.4467 + 1.44024i −0.674506 + 0.0848668i
\(289\) 14.1768 + 18.8597i 0.833932 + 1.10939i
\(290\) −4.31316 3.63966i −0.253278 0.213728i
\(291\) 3.61839 + 2.61510i 0.212114 + 0.153300i
\(292\) 4.88992 3.35099i 0.286161 0.196102i
\(293\) −3.64150 0.739158i −0.212739 0.0431821i 0.0913805 0.995816i \(-0.470872\pi\)
−0.304119 + 0.952634i \(0.598362\pi\)
\(294\) 0.227794 + 0.253415i 0.0132852 + 0.0147795i
\(295\) −9.50833 0.835203i −0.553597 0.0486274i
\(296\) −13.5431 6.13844i −0.787179 0.356790i
\(297\) 3.83211 + 3.15246i 0.222361 + 0.182924i
\(298\) 3.15905 0.357369i 0.182999 0.0207018i
\(299\) 0.309581 + 7.06239i 0.0179035 + 0.408428i
\(300\) −1.84598 0.893048i −0.106578 0.0515602i
\(301\) −2.86543 1.61474i −0.165160 0.0930722i
\(302\) 0.705374 2.22770i 0.0405897 0.128190i
\(303\) −1.69200 + 3.23518i −0.0972029 + 0.185856i
\(304\) −0.116121 18.5550i −0.00666001 1.06420i
\(305\) −0.225637 + 0.257425i −0.0129199 + 0.0147401i
\(306\) −6.66535 + 0.501497i −0.381033 + 0.0286687i
\(307\) −3.54974 + 2.99545i −0.202594 + 0.170959i −0.740523 0.672031i \(-0.765422\pi\)
0.537929 + 0.842990i \(0.319207\pi\)
\(308\) −10.9381 2.50684i −0.623255 0.142840i
\(309\) −0.638551 + 0.827699i −0.0363259 + 0.0470861i
\(310\) 6.83273 + 3.73853i 0.388073 + 0.212334i
\(311\) −1.48118 15.7323i −0.0839898 0.892095i −0.932082 0.362247i \(-0.882010\pi\)
0.848093 0.529848i \(-0.177751\pi\)
\(312\) −0.0475460 + 0.843268i −0.00269176 + 0.0477406i
\(313\) 4.40092 + 0.722470i 0.248755 + 0.0408364i 0.285080 0.958504i \(-0.407980\pi\)
−0.0363255 + 0.999340i \(0.511565\pi\)
\(314\) −2.58923 + 0.627620i −0.146119 + 0.0354186i
\(315\) 2.68649 15.7476i 0.151367 0.887277i
\(316\) 26.1397 + 3.95586i 1.47047 + 0.222534i
\(317\) 1.12172 11.9143i 0.0630020 0.669174i −0.906191 0.422870i \(-0.861023\pi\)
0.969193 0.246304i \(-0.0792162\pi\)
\(318\) 0.401540 0.593882i 0.0225173 0.0333032i
\(319\) 3.36076 + 17.1054i 0.188167 + 0.957719i
\(320\) −14.9160 4.82588i −0.833832 0.269775i
\(321\) −1.31329 + 1.05309i −0.0733008 + 0.0587778i
\(322\) −0.123936 1.79752i −0.00690670 0.100172i
\(323\) 1.59214 36.3210i 0.0885888 2.02096i
\(324\) −7.51371 + 13.9389i −0.417428 + 0.774384i
\(325\) 6.49878 8.87453i 0.360487 0.492270i
\(326\) −1.06992 3.23763i −0.0592574 0.179316i
\(327\) 0.398427 + 0.0400286i 0.0220331 + 0.00221358i
\(328\) 2.42700 + 8.38904i 0.134009 + 0.463207i
\(329\) −1.72138 + 5.68263i −0.0949028 + 0.313294i
\(330\) −0.393863 0.827304i −0.0216814 0.0455416i
\(331\) 10.9729 + 4.48491i 0.603126 + 0.246513i 0.659266 0.751910i \(-0.270867\pi\)
−0.0561397 + 0.998423i \(0.517879\pi\)
\(332\) −9.23673 + 2.60971i −0.506931 + 0.143226i
\(333\) −27.3480 + 15.8655i −1.49866 + 0.869426i
\(334\) −5.90221 + 4.49479i −0.322955 + 0.245944i
\(335\) 23.4158 + 20.2666i 1.27934 + 1.10728i
\(336\) −0.0443882 + 1.41811i −0.00242157 + 0.0773641i
\(337\) 4.83167 11.2154i 0.263198 0.610940i −0.734511 0.678597i \(-0.762588\pi\)
0.997709 + 0.0676574i \(0.0215525\pi\)
\(338\) 2.38058 + 0.577045i 0.129487 + 0.0313871i
\(339\) −2.48779 1.05335i −0.135118 0.0572102i
\(340\) −34.2689 13.0153i −1.85849 0.705856i
\(341\) −9.24139 22.2123i −0.500449 1.20287i
\(342\) 4.89538 + 3.44557i 0.264712 + 0.186315i
\(343\) −16.1300 + 10.4702i −0.870940 + 0.565337i
\(344\) −0.745078 2.45966i −0.0401719 0.132616i
\(345\) −1.59907 + 1.45559i −0.0860910 + 0.0783663i
\(346\) −0.623595 + 1.30985i −0.0335247 + 0.0704182i
\(347\) 6.25926 + 5.69764i 0.336015 + 0.305865i 0.823556 0.567235i \(-0.191987\pi\)
−0.487542 + 0.873100i \(0.662106\pi\)
\(348\) 2.20009 0.899233i 0.117937 0.0482039i
\(349\) 25.5305 19.9523i 1.36661 1.06802i 0.376703 0.926334i \(-0.377058\pi\)
0.989911 0.141688i \(-0.0452529\pi\)
\(350\) −1.59927 + 2.30268i −0.0854845 + 0.123084i
\(351\) 2.83117 + 2.27023i 0.151117 + 0.121176i
\(352\) −7.30931 11.1077i −0.389587 0.592040i
\(353\) 2.94703 1.38046i 0.156854 0.0734747i −0.344172 0.938907i \(-0.611840\pi\)
0.501027 + 0.865432i \(0.332956\pi\)
\(354\) −0.147469 + 0.230329i −0.00783787 + 0.0122419i
\(355\) −45.2042 + 22.5714i −2.39919 + 1.19796i
\(356\) −14.9233 + 0.747763i −0.790933 + 0.0396314i
\(357\) −0.225912 + 2.77070i −0.0119565 + 0.146641i
\(358\) 5.70763 1.08435i 0.301658 0.0573095i
\(359\) 7.54966 12.1232i 0.398456 0.639839i −0.587036 0.809561i \(-0.699705\pi\)
0.985492 + 0.169722i \(0.0542870\pi\)
\(360\) 10.0247 7.43787i 0.528349 0.392010i
\(361\) −9.06526 + 10.0849i −0.477119 + 0.530785i
\(362\) 4.66458 4.35404i 0.245165 0.228843i
\(363\) −0.0268973 + 0.114078i −0.00141174 + 0.00598752i
\(364\) −8.02166 1.73306i −0.420449 0.0908370i
\(365\) −4.29044 + 8.72883i −0.224572 + 0.456888i
\(366\) 0.00353984 + 0.00914738i 0.000185030 + 0.000478141i
\(367\) 11.0713 0.138578i 0.577915 0.00723373i 0.276975 0.960877i \(-0.410668\pi\)
0.300939 + 0.953643i \(0.402700\pi\)
\(368\) −5.93964 + 7.12878i −0.309625 + 0.371613i
\(369\) 17.5190 + 6.15653i 0.912001 + 0.320496i
\(370\) 11.7519 1.03227i 0.610950 0.0536652i
\(371\) 10.5307 + 9.82959i 0.546725 + 0.510327i
\(372\) −2.72874 + 1.82020i −0.141479 + 0.0943731i
\(373\) 7.73077 29.4654i 0.400284 1.52566i −0.394573 0.918865i \(-0.629107\pi\)
0.794857 0.606797i \(-0.207546\pi\)
\(374\) −3.90743 6.63931i −0.202049 0.343311i
\(375\) −0.423526 + 0.0265396i −0.0218708 + 0.00137050i
\(376\) −4.04195 + 2.27774i −0.208448 + 0.117466i
\(377\) 2.61420 + 12.4779i 0.134638 + 0.642647i
\(378\) −0.735863 0.560392i −0.0378487 0.0288234i
\(379\) 11.4830 + 1.44480i 0.589842 + 0.0742144i 0.414115 0.910225i \(-0.364091\pi\)
0.175727 + 0.984439i \(0.443772\pi\)
\(380\) 16.2964 + 28.5001i 0.835987 + 1.46202i
\(381\) 1.34917 3.76371i 0.0691200 0.192821i
\(382\) −0.738081 + 0.533429i −0.0377635 + 0.0272926i
\(383\) −22.0441 1.65858i −1.12640 0.0847495i −0.501284 0.865283i \(-0.667139\pi\)
−0.625115 + 0.780533i \(0.714948\pi\)
\(384\) −1.70254 + 1.67087i −0.0868822 + 0.0852661i
\(385\) 17.6543 5.22744i 0.899746 0.266415i
\(386\) 0.0865973 + 0.471906i 0.00440769 + 0.0240194i
\(387\) −5.17788 1.74712i −0.263207 0.0888111i
\(388\) −33.8854 + 0.848417i −1.72027 + 0.0430719i
\(389\) −7.52077 30.2000i −0.381318 1.53120i −0.786866 0.617125i \(-0.788297\pi\)
0.405547 0.914074i \(-0.367081\pi\)
\(390\) −0.295593 0.601380i −0.0149680 0.0304520i
\(391\) −12.3221 + 13.3677i −0.623156 + 0.676033i
\(392\) −5.25619 0.998581i −0.265478 0.0504360i
\(393\) 0.451988 1.63888i 0.0227998 0.0826707i
\(394\) 4.37815 + 4.63196i 0.220568 + 0.233355i
\(395\) −40.5508 + 15.4012i −2.04033 + 0.774920i
\(396\) −18.6313 0.699913i −0.936256 0.0351719i
\(397\) −1.40030 + 0.376774i −0.0702788 + 0.0189097i −0.294794 0.955561i \(-0.595251\pi\)
0.224515 + 0.974471i \(0.427920\pi\)
\(398\) −5.31357 + 4.37118i −0.266345 + 0.219108i
\(399\) 1.73271 1.78780i 0.0867440 0.0895017i
\(400\) 14.1495 2.87208i 0.707473 0.143604i
\(401\) 1.33574 + 0.991057i 0.0667036 + 0.0494910i 0.628694 0.777653i \(-0.283590\pi\)
−0.561991 + 0.827144i \(0.689964\pi\)
\(402\) 0.825517 0.325412i 0.0411730 0.0162301i
\(403\) −6.96129 16.1587i −0.346766 0.804921i
\(404\) −4.66147 27.3245i −0.231917 1.35945i
\(405\) −0.487758 25.9768i −0.0242369 1.29080i
\(406\) −0.745702 3.16269i −0.0370086 0.156962i
\(407\) −30.3144 20.2211i −1.50263 1.00232i
\(408\) −1.62450 + 1.44197i −0.0804246 + 0.0713883i
\(409\) −16.9584 19.3475i −0.838540 0.956675i 0.161001 0.986954i \(-0.448528\pi\)
−0.999541 + 0.0302794i \(0.990360\pi\)
\(410\) −4.94509 4.85311i −0.244221 0.239678i
\(411\) −0.865340 0.459492i −0.0426841 0.0226651i
\(412\) 0.0496705 7.93683i 0.00244709 0.391019i
\(413\) −4.11006 3.64826i −0.202243 0.179519i
\(414\) −0.759710 2.89560i −0.0373377 0.142311i
\(415\) 11.1009 11.1706i 0.544923 0.548344i
\(416\) −5.44676 8.05581i −0.267050 0.394969i
\(417\) 5.09541 2.78795i 0.249523 0.136527i
\(418\) −1.07506 + 6.81526i −0.0525829 + 0.333345i
\(419\) 26.2579 4.64881i 1.28278 0.227109i 0.509114 0.860699i \(-0.329973\pi\)
0.773669 + 0.633590i \(0.218419\pi\)
\(420\) −1.16339 2.22446i −0.0567676 0.108542i
\(421\) 2.47153 1.31237i 0.120455 0.0639612i −0.407661 0.913133i \(-0.633656\pi\)
0.528116 + 0.849172i \(0.322899\pi\)
\(422\) −1.33042 0.393938i −0.0647639 0.0191766i
\(423\) −1.04756 + 9.80939i −0.0509342 + 0.476949i
\(424\) 0.633648 + 11.2383i 0.0307727 + 0.545779i
\(425\) 27.9703 4.23289i 1.35676 0.205326i
\(426\) −0.0271789 + 1.44748i −0.00131682 + 0.0701307i
\(427\) −0.192649 + 0.0416213i −0.00932293 + 0.00201420i
\(428\) 3.08851 12.4020i 0.149289 0.599474i
\(429\) −0.449754 + 2.02040i −0.0217143 + 0.0975456i
\(430\) 1.47304 + 1.40988i 0.0710363 + 0.0679906i
\(431\) 7.89517 + 22.9241i 0.380297 + 1.10421i 0.957704 + 0.287756i \(0.0929093\pi\)
−0.577407 + 0.816457i \(0.695935\pi\)
\(432\) 0.742211 + 4.70519i 0.0357096 + 0.226379i
\(433\) −3.18112 4.12341i −0.152875 0.198159i 0.709102 0.705106i \(-0.249101\pi\)
−0.861977 + 0.506947i \(0.830774\pi\)
\(434\) 1.87682 + 4.07281i 0.0900902 + 0.195501i
\(435\) −2.42049 + 3.05757i −0.116054 + 0.146599i
\(436\) −2.59074 + 1.59096i −0.124074 + 0.0761930i
\(437\) 16.1284 2.23468i 0.771525 0.106899i
\(438\) 0.164655 + 0.224847i 0.00786750 + 0.0107436i
\(439\) 10.7171 15.0260i 0.511501 0.717151i −0.475167 0.879896i \(-0.657612\pi\)
0.986668 + 0.162745i \(0.0520347\pi\)
\(440\) 12.7900 + 6.58754i 0.609737 + 0.314049i
\(441\) −8.21846 + 7.86610i −0.391355 + 0.374576i
\(442\) −2.91817 4.81938i −0.138803 0.229234i
\(443\) 21.8359 23.1018i 1.03746 1.09760i 0.0423185 0.999104i \(-0.486526\pi\)
0.995138 0.0984946i \(-0.0314027\pi\)
\(444\) −1.90845 + 4.58709i −0.0905709 + 0.217694i
\(445\) 20.7292 13.0897i 0.982658 0.620513i
\(446\) 4.35426 + 2.03965i 0.206180 + 0.0965801i
\(447\) −0.315109 2.17407i −0.0149042 0.102830i
\(448\) −5.24144 7.34877i −0.247635 0.347197i
\(449\) 3.39719 10.2801i 0.160324 0.485147i −0.837827 0.545936i \(-0.816174\pi\)
0.998151 + 0.0607887i \(0.0193616\pi\)
\(450\) −1.89637 + 4.25454i −0.0893957 + 0.200561i
\(451\) 2.53879 + 21.2507i 0.119547 + 1.00066i
\(452\) 19.8723 5.08114i 0.934715 0.238997i
\(453\) −1.55381 0.439008i −0.0730045 0.0206264i
\(454\) 0.714384 + 0.558298i 0.0335277 + 0.0262022i
\(455\) 12.8622 3.98427i 0.602991 0.186786i
\(456\) 1.94402 0.0730301i 0.0910370 0.00341995i
\(457\) −18.9060 + 8.00495i −0.884384 + 0.374456i −0.784196 0.620513i \(-0.786924\pi\)
−0.100188 + 0.994969i \(0.531944\pi\)
\(458\) 2.87131 0.471363i 0.134167 0.0220254i
\(459\) 0.991052 + 9.28022i 0.0462583 + 0.433164i
\(460\) 2.96321 16.1478i 0.138160 0.752895i
\(461\) 3.32628 5.98995i 0.154920 0.278980i −0.785589 0.618749i \(-0.787640\pi\)
0.940509 + 0.339769i \(0.110349\pi\)
\(462\) 0.101708 0.517665i 0.00473186 0.0240839i
\(463\) 22.4596 + 22.6006i 1.04378 + 1.05034i 0.998680 + 0.0513550i \(0.0163540\pi\)
0.0451041 + 0.998982i \(0.485638\pi\)
\(464\) −8.48766 + 14.4218i −0.394030 + 0.669515i
\(465\) 2.43430 4.79985i 0.112888 0.222588i
\(466\) 0.572045 + 0.722608i 0.0264995 + 0.0334742i
\(467\) 10.1937 + 3.72628i 0.471710 + 0.172432i 0.568180 0.822904i \(-0.307648\pi\)
−0.0964700 + 0.995336i \(0.530755\pi\)
\(468\) −13.6309 0.341289i −0.630090 0.0157761i
\(469\) 3.87436 + 17.4045i 0.178901 + 0.803665i
\(470\) 1.90657 3.14872i 0.0879436 0.145239i
\(471\) 0.489440 + 1.77468i 0.0225522 + 0.0817730i
\(472\) −0.348975 4.28001i −0.0160629 0.197003i
\(473\) −0.825347 6.24397i −0.0379495 0.287098i
\(474\) −0.147438 + 1.23412i −0.00677204 + 0.0566848i
\(475\) −21.7538 12.9868i −0.998135 0.595873i
\(476\) −11.3805 17.7750i −0.521623 0.814715i
\(477\) 20.2371 + 12.7790i 0.926591 + 0.585109i
\(478\) −2.44068 + 1.71785i −0.111634 + 0.0785726i
\(479\) 1.31833 3.28400i 0.0602361 0.150050i −0.894859 0.446348i \(-0.852724\pi\)
0.955095 + 0.296298i \(0.0957522\pi\)
\(480\) 0.826651 2.85736i 0.0377313 0.130420i
\(481\) −22.3531 14.5097i −1.01922 0.661584i
\(482\) −3.26831 8.14147i −0.148868 0.370834i
\(483\) −1.23878 + 0.124455i −0.0563662 + 0.00566292i
\(484\) −0.362282 0.812786i −0.0164674 0.0369448i
\(485\) 47.7528 28.5078i 2.16834 1.29447i
\(486\) −2.06940 1.03329i −0.0938698 0.0468711i
\(487\) −27.6909 12.1355i −1.25479 0.549910i −0.334964 0.942231i \(-0.608724\pi\)
−0.919829 + 0.392320i \(0.871672\pi\)
\(488\) −0.131236 0.0805908i −0.00594075 0.00364817i
\(489\) −2.21294 + 0.808931i −0.100073 + 0.0365811i
\(490\) 4.02199 1.35710i 0.181695 0.0613075i
\(491\) 16.4117 + 29.5542i 0.740650 + 1.33376i 0.935640 + 0.352955i \(0.114823\pi\)
−0.194991 + 0.980805i \(0.562468\pi\)
\(492\) 2.77627 0.898224i 0.125164 0.0404951i
\(493\) −18.0234 + 27.3893i −0.811731 + 1.23355i
\(494\) −0.723779 + 4.99365i −0.0325644 + 0.224675i
\(495\) 27.1955 14.0072i 1.22235 0.629577i
\(496\) 7.52028 21.8355i 0.337670 0.980445i
\(497\) −28.6458 5.07157i −1.28494 0.227491i
\(498\) −0.136215 0.430193i −0.00610395 0.0192774i
\(499\) 0.817072 3.89999i 0.0365772 0.174588i −0.956561 0.291531i \(-0.905835\pi\)
0.993139 + 0.116943i \(0.0373095\pi\)
\(500\) 2.43614 2.10850i 0.108947 0.0942950i
\(501\) 3.23192 + 3.97919i 0.144391 + 0.177777i
\(502\) 3.98460 0.177841
\(503\) 2.93199 22.2352i 0.130731 0.991418i
\(504\) 7.18711 0.320139
\(505\) 28.6733 + 35.3031i 1.27595 + 1.57097i
\(506\) 2.60881 2.25795i 0.115976 0.100378i
\(507\) 0.347073 1.65662i 0.0154140 0.0735732i
\(508\) 9.16347 + 28.9400i 0.406563 + 1.28400i
\(509\) −17.3601 3.07350i −0.769473 0.136231i −0.224261 0.974529i \(-0.571997\pi\)
−0.545212 + 0.838298i \(0.683551\pi\)
\(510\) 0.561184 1.62943i 0.0248497 0.0721523i
\(511\) −4.97851 + 2.56421i −0.220236 + 0.113434i
\(512\) 3.12041 21.5290i 0.137904 0.951456i
\(513\) 4.59477 6.98248i 0.202864 0.308284i
\(514\) 8.08660 2.61631i 0.356685 0.115400i
\(515\) 6.32220 + 11.3850i 0.278589 + 0.501683i
\(516\) −0.813648 + 0.274541i −0.0358189 + 0.0120860i
\(517\) −10.6789 + 3.90362i −0.469657 + 0.171681i
\(518\) 5.78813 + 3.55445i 0.254316 + 0.156174i
\(519\) 0.918132 + 0.402369i 0.0403015 + 0.0176621i
\(520\) 9.41324 + 4.70022i 0.412798 + 0.206118i
\(521\) 32.7421 19.5466i 1.43446 0.856351i 0.435418 0.900228i \(-0.356600\pi\)
0.999037 + 0.0438771i \(0.0139710\pi\)
\(522\) −2.19794 4.93112i −0.0962014 0.215829i
\(523\) −4.99863 + 0.502194i −0.218575 + 0.0219594i −0.208646 0.977991i \(-0.566906\pi\)
−0.00992896 + 0.999951i \(0.503161\pi\)
\(524\) 4.80862 + 11.9784i 0.210066 + 0.523280i
\(525\) 1.62492 + 1.05476i 0.0709174 + 0.0460333i
\(526\) 2.08814 7.21777i 0.0910473 0.314710i
\(527\) 16.8572 41.9919i 0.734313 1.82920i
\(528\) −2.22173 + 1.56374i −0.0966884 + 0.0680532i
\(529\) 12.5626 + 7.93284i 0.546201 + 0.344906i
\(530\) −4.81533 7.52100i −0.209165 0.326691i
\(531\) −7.84005 4.68041i −0.340229 0.203112i
\(532\) −2.24232 + 18.7691i −0.0972169 + 0.813746i
\(533\) 2.05106 + 15.5168i 0.0888412 + 0.672107i
\(534\) −0.0570868 0.700142i −0.00247039 0.0302981i
\(535\) 5.57521 + 20.2154i 0.241037 + 0.873988i
\(536\) −7.21638 + 11.9179i −0.311700 + 0.514775i
\(537\) −0.872292 3.91853i −0.0376422 0.169097i
\(538\) 0.682339 + 0.0170843i 0.0294177 + 0.000736556i
\(539\) −12.3146 4.50155i −0.530427 0.193895i
\(540\) −5.23113 6.60797i −0.225112 0.284362i
\(541\) 7.23490 14.2654i 0.311053 0.613319i −0.681952 0.731397i \(-0.738869\pi\)
0.993004 + 0.118078i \(0.0376733\pi\)
\(542\) 4.30796 7.31986i 0.185043 0.314415i
\(543\) −3.10796 3.12747i −0.133375 0.134212i
\(544\) 4.82146 24.5399i 0.206718 1.05214i
\(545\) 2.42170 4.36100i 0.103734 0.186805i
\(546\) 0.0696376 0.379485i 0.00298021 0.0162404i
\(547\) 0.369909 + 3.46384i 0.0158162 + 0.148103i 0.999493 0.0318416i \(-0.0101372\pi\)
−0.983677 + 0.179945i \(0.942408\pi\)
\(548\) 7.34053 1.20505i 0.313572 0.0514770i
\(549\) −0.301548 + 0.127678i −0.0128697 + 0.00544916i
\(550\) −5.36479 + 0.201537i −0.228755 + 0.00859355i
\(551\) 28.0496 8.68878i 1.19495 0.370154i
\(552\) −0.766517 0.599040i −0.0326251 0.0254968i
\(553\) −24.0342 6.79053i −1.02204 0.288763i
\(554\) −9.56567 + 2.44584i −0.406406 + 0.103914i
\(555\) −0.966990 8.09411i −0.0410465 0.343576i
\(556\) −17.9533 + 40.2786i −0.761390 + 1.70819i
\(557\) 0.908344 2.74869i 0.0384878 0.116466i −0.928466 0.371417i \(-0.878872\pi\)
0.966954 + 0.254951i \(0.0820593\pi\)
\(558\) 4.32646 + 6.06592i 0.183154 + 0.256791i
\(559\) −0.660706 4.55848i −0.0279449 0.192803i
\(560\) 16.0054 + 7.49733i 0.676351 + 0.316820i
\(561\) −4.50097 + 2.84220i −0.190031 + 0.119998i
\(562\) 3.99508 9.60245i 0.168522 0.405055i
\(563\) −15.9171 + 16.8398i −0.670826 + 0.709714i −0.969624 0.244602i \(-0.921343\pi\)
0.298798 + 0.954316i \(0.403414\pi\)
\(564\) 0.802937 + 1.32606i 0.0338097 + 0.0558370i
\(565\) −24.3128 + 23.2704i −1.02285 + 0.978993i
\(566\) 1.42179 + 0.732301i 0.0597623 + 0.0307809i
\(567\) 8.68645 12.1788i 0.364796 0.511463i
\(568\) −13.4301 18.3398i −0.563516 0.769520i
\(569\) −26.0650 + 3.61145i −1.09270 + 0.151400i −0.660830 0.750536i \(-0.729796\pi\)
−0.431870 + 0.901936i \(0.642146\pi\)
\(570\) −1.31524 + 0.807682i −0.0550895 + 0.0338301i
\(571\) −3.74298 + 4.72813i −0.156639 + 0.197866i −0.856109 0.516796i \(-0.827125\pi\)
0.699470 + 0.714662i \(0.253419\pi\)
\(572\) −6.57705 14.2726i −0.275000 0.596767i
\(573\) 0.384369 + 0.498224i 0.0160572 + 0.0208136i
\(574\) −0.621600 3.94058i −0.0259451 0.164477i
\(575\) 4.12561 + 11.9789i 0.172050 + 0.499557i
\(576\) −10.8343 10.3698i −0.451429 0.432075i
\(577\) −3.92338 + 17.6247i −0.163332 + 0.733726i 0.822877 + 0.568220i \(0.192368\pi\)
−0.986209 + 0.165505i \(0.947074\pi\)
\(578\) 2.03509 8.17198i 0.0846486 0.339910i
\(579\) 0.324050 0.0700101i 0.0134670 0.00290952i
\(580\) 0.555840 29.6027i 0.0230800 1.22918i
\(581\) 8.96536 1.35678i 0.371946 0.0562885i
\(582\) −0.0897064 1.59102i −0.00371845 0.0659499i
\(583\) −2.92919 + 27.4290i −0.121315 + 1.13599i
\(584\) −4.19572 1.24235i −0.173620 0.0514090i
\(585\) 19.7591 10.4920i 0.816939 0.433791i
\(586\) 0.614666 + 1.17527i 0.0253916 + 0.0485500i
\(587\) −23.1909 + 4.10580i −0.957189 + 0.169465i −0.630951 0.775823i \(-0.717335\pi\)
−0.326238 + 0.945288i \(0.605781\pi\)
\(588\) −0.278545 + 1.76582i −0.0114870 + 0.0728210i
\(589\) −35.5516 + 19.4520i −1.46488 + 0.801507i
\(590\) 1.90829 + 2.82238i 0.0785632 + 0.116196i
\(591\) 3.10442 3.12390i 0.127699 0.128500i
\(592\) −8.87713 33.8347i −0.364848 1.39060i
\(593\) 14.7515 + 13.0941i 0.605772 + 0.537709i 0.909850 0.414938i \(-0.136197\pi\)
−0.304077 + 0.952647i \(0.598348\pi\)
\(594\) 0.0110843 1.77116i 0.000454795 0.0726714i
\(595\) 30.5853 + 16.2407i 1.25388 + 0.665803i
\(596\) 11.9039 + 11.6825i 0.487604 + 0.478535i
\(597\) 3.13383 + 3.57532i 0.128259 + 0.146328i
\(598\) 1.88708 1.67505i 0.0771684 0.0684980i
\(599\) 26.0452 + 17.3734i 1.06418 + 0.709858i 0.958658 0.284559i \(-0.0918472\pi\)
0.105520 + 0.994417i \(0.466349\pi\)
\(600\) 0.347381 + 1.47332i 0.0141818 + 0.0601481i
\(601\) −0.771506 41.0886i −0.0314704 1.67604i −0.561054 0.827779i \(-0.689604\pi\)
0.529583 0.848258i \(-0.322348\pi\)
\(602\) 0.197429 + 1.15728i 0.00804660 + 0.0471674i
\(603\) 11.7212 + 27.2074i 0.477322 + 1.10797i
\(604\) 11.4049 4.49570i 0.464058 0.182928i
\(605\) 1.17256 + 0.869983i 0.0476712 + 0.0353699i
\(606\) 1.27712 0.259231i 0.0518793 0.0105305i
\(607\) −17.9137 + 18.4832i −0.727095 + 0.750210i −0.975870 0.218352i \(-0.929932\pi\)
0.248775 + 0.968561i \(0.419972\pi\)
\(608\) −17.2974 + 14.2296i −0.701500 + 0.577085i
\(609\) −2.16819 + 0.583390i −0.0878597 + 0.0236402i
\(610\) 0.122099 + 0.00458686i 0.00494366 + 0.000185716i
\(611\) −7.77344 + 2.95236i −0.314480 + 0.119440i
\(612\) −24.0881 25.4845i −0.973702 1.03015i
\(613\) 0.822967 2.98404i 0.0332393 0.120524i −0.945505 0.325607i \(-0.894432\pi\)
0.978745 + 0.205082i \(0.0657463\pi\)
\(614\) 1.62875 + 0.309433i 0.0657309 + 0.0124877i
\(615\) −3.24490 + 3.52024i −0.130847 + 0.141950i
\(616\) 3.65398 + 7.43395i 0.147223 + 0.299522i
\(617\) 11.5380 + 46.3311i 0.464501 + 1.86522i 0.500286 + 0.865860i \(0.333228\pi\)
−0.0357851 + 0.999360i \(0.511393\pi\)
\(618\) 0.373023 0.00933968i 0.0150052 0.000375697i
\(619\) −18.3230 6.18254i −0.736463 0.248497i −0.0736517 0.997284i \(-0.523465\pi\)
−0.662811 + 0.748787i \(0.730637\pi\)
\(620\) 7.37510 + 40.1901i 0.296191 + 1.61407i
\(621\) −4.00789 + 1.18674i −0.160831 + 0.0476221i
\(622\) −4.02555 + 3.95068i −0.161410 + 0.158408i
\(623\) 14.0758 + 1.05905i 0.563935 + 0.0424301i
\(624\) −1.61038 + 1.16386i −0.0644667 + 0.0465917i
\(625\) −9.27506 + 25.8742i −0.371002 + 1.03497i
\(626\) −0.790186 1.38193i −0.0315822 0.0552328i
\(627\) 4.73020 + 0.595157i 0.188906 + 0.0237683i
\(628\) −11.1198 8.46819i −0.443727 0.337918i
\(629\) −14.0538 67.0806i −0.560361 2.67468i
\(630\) −4.96767 + 2.79941i −0.197917 + 0.111531i
\(631\) 14.8812 0.932503i 0.592409 0.0371224i 0.236482 0.971636i \(-0.424006\pi\)
0.355928 + 0.934514i \(0.384165\pi\)
\(632\) −9.89821 16.8185i −0.393730 0.669005i
\(633\) −0.243312 + 0.927372i −0.00967079 + 0.0368597i
\(634\) −3.55347 + 2.37033i −0.141126 + 0.0941379i
\(635\) −36.4098 33.9858i −1.44488 1.34869i
\(636\) 3.74656 0.329094i 0.148561 0.0130494i
\(637\) −9.04651 3.17914i −0.358436 0.125962i
\(638\) 3.98303 4.78045i 0.157690 0.189260i
\(639\) −48.3304 + 0.604949i −1.91192 + 0.0239314i
\(640\) 10.7245 + 27.7135i 0.423925 + 1.09547i
\(641\) 2.09262 4.25739i 0.0826535 0.168157i −0.852175 0.523257i \(-0.824717\pi\)
0.934828 + 0.355100i \(0.115553\pi\)
\(642\) 0.587310 + 0.126887i 0.0231793 + 0.00500783i
\(643\) 4.90146 20.7882i 0.193295 0.819807i −0.786140 0.618048i \(-0.787924\pi\)
0.979435 0.201759i \(-0.0646659\pi\)
\(644\) 6.91007 6.45003i 0.272295 0.254167i
\(645\) 0.941892 1.04783i 0.0370869 0.0412584i
\(646\) −10.4216 + 7.73234i −0.410032 + 0.304225i
\(647\) −15.3312 + 24.6187i −0.602730 + 0.967861i 0.396038 + 0.918234i \(0.370385\pi\)
−0.998768 + 0.0496272i \(0.984197\pi\)
\(648\) 11.4835 2.18165i 0.451113 0.0857034i
\(649\) 0.855220 10.4889i 0.0335703 0.411724i
\(650\) −3.92127 + 0.196484i −0.153805 + 0.00770672i
\(651\) 2.77231 1.38427i 0.108655 0.0542538i
\(652\) 9.64575 15.0656i 0.377757 0.590013i
\(653\) 10.7907 5.05464i 0.422273 0.197804i −0.201366 0.979516i \(-0.564538\pi\)
0.623639 + 0.781713i \(0.285654\pi\)
\(654\) −0.0785691 0.119398i −0.00307230 0.00466884i
\(655\) −16.5222 13.2487i −0.645578 0.517670i
\(656\) −11.7193 + 16.8739i −0.457563 + 0.658816i
\(657\) −7.33110 + 5.72933i −0.286014 + 0.223522i
\(658\) 1.96183 0.801850i 0.0764802 0.0312594i
\(659\) −35.2318 32.0705i −1.37244 1.24929i −0.937117 0.349015i \(-0.886516\pi\)
−0.435318 0.900277i \(-0.643364\pi\)
\(660\) 2.06630 4.34025i 0.0804308 0.168944i
\(661\) −8.27131 + 7.52915i −0.321717 + 0.292850i −0.817891 0.575373i \(-0.804857\pi\)
0.496175 + 0.868223i \(0.334738\pi\)
\(662\) −1.22667 4.04947i −0.0476757 0.157387i
\(663\) −3.26542 + 2.11962i −0.126818 + 0.0823192i
\(664\) 5.79389 + 4.07798i 0.224847 + 0.158256i
\(665\) −11.9135 28.6350i −0.461987 1.11042i
\(666\) 10.5500 + 4.00691i 0.408805 + 0.155265i
\(667\) −13.5221 5.72539i −0.523579 0.221688i
\(668\) −37.8257 9.16883i −1.46352 0.354753i
\(669\) 1.31455 3.05136i 0.0508235 0.117972i
\(670\) 0.345825 11.0484i 0.0133604 0.426836i
\(671\) −0.285372 0.246992i −0.0110167 0.00953503i
\(672\) 1.36253 1.03762i 0.0525606 0.0400272i
\(673\) 36.3544 21.0904i 1.40136 0.812977i 0.406441 0.913677i \(-0.366770\pi\)
0.994917 + 0.100701i \(0.0321084\pi\)
\(674\) −4.19468 + 1.18515i −0.161573 + 0.0456502i
\(675\) 6.02045 + 2.46071i 0.231727 + 0.0947127i
\(676\) 5.52395 + 11.6030i 0.212459 + 0.446269i
\(677\) 7.42405 24.5083i 0.285330 0.941932i −0.690488 0.723344i \(-0.742604\pi\)
0.975817 0.218588i \(-0.0701450\pi\)
\(678\) 0.267990 + 0.926322i 0.0102921 + 0.0355752i
\(679\) 31.8609 + 3.20095i 1.22271 + 0.122841i
\(680\) 8.49045 + 25.6925i 0.325594 + 0.985263i
\(681\) 0.370145 0.505459i 0.0141840 0.0193692i
\(682\) −4.07465 + 7.55900i −0.156026 + 0.289449i
\(683\) −0.356854 + 8.14083i −0.0136546 + 0.311500i 0.979998 + 0.199008i \(0.0637719\pi\)
−0.993653 + 0.112492i \(0.964117\pi\)
\(684\) 2.16027 + 31.3316i 0.0826001 + 1.19800i
\(685\) −9.52196 + 7.63538i −0.363815 + 0.291733i
\(686\) 6.53074 + 2.11293i 0.249345 + 0.0806721i
\(687\) −0.387619 1.97288i −0.0147886 0.0752700i
\(688\) 3.38643 5.00856i 0.129106 0.190950i
\(689\) −1.89097 + 20.0849i −0.0720403 + 0.765173i
\(690\) 0.763139 + 0.115490i 0.0290522 + 0.00439663i
\(691\) −7.60020 + 44.5507i −0.289125 + 1.69479i 0.359068 + 0.933311i \(0.383095\pi\)
−0.648194 + 0.761476i \(0.724475\pi\)
\(692\) −7.39665 + 1.79292i −0.281178 + 0.0681567i
\(693\) 17.3805 + 2.85325i 0.660232 + 0.108386i
\(694\) 0.170073 3.01639i 0.00645589 0.114501i
\(695\) −6.78213 72.0362i −0.257261 2.73249i
\(696\) −1.53912 0.842129i −0.0583402 0.0319208i
\(697\) −24.5878 + 31.8710i −0.931328 + 1.20720i
\(698\) −11.2733 2.58367i −0.426701 0.0977932i
\(699\) 0.486703 0.410704i 0.0184088 0.0155343i
\(700\) −14.6668 + 1.10352i −0.554353 + 0.0417091i
\(701\) −25.5815 + 29.1855i −0.966201 + 1.10232i 0.0285082 + 0.999594i \(0.490924\pi\)
−0.994710 + 0.102728i \(0.967243\pi\)
\(702\) −0.00810628 1.29530i −0.000305952 0.0488879i
\(703\) −28.4470 + 54.3920i −1.07290 + 2.05143i
\(704\) 5.21770 16.4785i 0.196649 0.621056i
\(705\) −2.21588 1.24870i −0.0834548 0.0470289i
\(706\) −1.04566 0.505869i −0.0393540 0.0190386i
\(707\) 1.14677 + 26.1610i 0.0431288 + 0.983887i
\(708\) −1.42572 + 0.161286i −0.0535819 + 0.00606149i
\(709\) 17.1441 + 14.1035i 0.643860 + 0.529668i 0.899398 0.437131i \(-0.144005\pi\)
−0.255538 + 0.966799i \(0.582252\pi\)
\(710\) 16.4262 + 7.44521i 0.616466 + 0.279414i
\(711\) −41.3361 3.63092i −1.55022 0.136170i
\(712\) 7.37344 + 8.20279i 0.276331 + 0.307412i
\(713\) 19.8604 + 4.03130i 0.743778 + 0.150973i
\(714\) 0.818504 0.560910i 0.0306317 0.0209915i
\(715\) 20.8980 + 15.1035i 0.781542 + 0.564840i
\(716\) 23.2939 + 19.6566i 0.870533 + 0.734600i
\(717\) 1.23920 + 1.64852i 0.0462786 + 0.0615650i
\(718\) −5.05786 + 0.636383i −0.188758 + 0.0237496i
\(719\) 6.86431 + 3.98223i 0.255996 + 0.148512i 0.624279 0.781202i \(-0.285393\pi\)
−0.368283 + 0.929714i \(0.620054\pi\)
\(720\) 28.4500 + 7.27437i 1.06027 + 0.271100i
\(721\) −0.982561 + 7.43334i −0.0365925 + 0.276832i
\(722\) 4.83417 + 0.242226i 0.179909 + 0.00901473i
\(723\) −5.55225 + 2.43326i −0.206491 + 0.0904941i
\(724\) 33.1591 + 4.59439i 1.23235 + 0.170749i
\(725\) 10.8417 + 20.1127i 0.402650 + 0.746968i
\(726\) 0.0376598 0.0182190i 0.00139768 0.000676171i
\(727\) 21.9446 + 1.37512i 0.813881 + 0.0510005i 0.464046 0.885811i \(-0.346397\pi\)
0.349835 + 0.936811i \(0.386238\pi\)
\(728\) 2.74010 + 5.40279i 0.101555 + 0.200241i
\(729\) 9.94832 21.5885i 0.368456 0.799572i
\(730\) 3.38395 0.775549i 0.125246 0.0287043i
\(731\) 7.11791 9.46905i 0.263265 0.350226i
\(732\) −0.0255426 + 0.0446704i −0.000944080 + 0.00165107i
\(733\) −0.794996 0.930231i −0.0293638 0.0343589i 0.745327 0.666699i \(-0.232294\pi\)
−0.774690 + 0.632341i \(0.782094\pi\)
\(734\) −2.52980 3.03628i −0.0933767 0.112071i
\(735\) −1.02423 2.74845i −0.0377792 0.101378i
\(736\) 11.1998 + 0.140187i 0.412829 + 0.00516736i
\(737\) −22.1827 + 25.9561i −0.817110 + 0.956106i
\(738\) −2.23660 6.23933i −0.0823304 0.229673i
\(739\) 18.7182 + 12.8273i 0.688559 + 0.471860i 0.857979 0.513684i \(-0.171720\pi\)
−0.169421 + 0.985544i \(0.554190\pi\)
\(740\) 43.0733 + 44.4426i 1.58340 + 1.63374i
\(741\) 3.46451 + 0.391925i 0.127272 + 0.0143977i
\(742\) 0.353684 5.12968i 0.0129842 0.188316i
\(743\) 15.0329 + 21.6450i 0.551505 + 0.794077i 0.994751 0.102323i \(-0.0326274\pi\)
−0.443246 + 0.896400i \(0.646173\pi\)
\(744\) 2.31284 + 0.716438i 0.0847929 + 0.0262659i
\(745\) −26.4260 7.11038i −0.968174 0.260504i
\(746\) −9.90354 + 4.48879i −0.362594 + 0.164346i
\(747\) 14.2131 4.99480i 0.520032 0.182750i
\(748\) 14.1132 37.8718i 0.516030 1.38473i
\(749\) −4.35745 + 11.2602i −0.159218 + 0.411438i
\(750\) 0.102661 + 0.111372i 0.00374865 + 0.00406674i
\(751\) 4.27415 + 6.86341i 0.155966 + 0.250449i 0.917553 0.397613i \(-0.130161\pi\)
−0.761587 + 0.648062i \(0.775580\pi\)
\(752\) −10.1541 4.00265i −0.370281 0.145961i
\(753\) −0.0861392 2.75196i −0.00313909 0.100287i
\(754\) 2.86892 3.53227i 0.104480 0.128638i
\(755\) −12.6809 + 15.6129i −0.461506 + 0.568213i
\(756\) −0.151814 4.85015i −0.00552144 0.176398i
\(757\) −30.0823 11.8582i −1.09336 0.430993i −0.249946 0.968260i \(-0.580413\pi\)
−0.843412 + 0.537267i \(0.819457\pi\)
\(758\) −2.18376 3.50667i −0.0793178 0.127368i
\(759\) −1.61585 1.75296i −0.0586515 0.0636284i
\(760\) 8.74606 22.6009i 0.317253 0.819820i
\(761\) 2.24939 6.03608i 0.0815402 0.218808i −0.889870 0.456213i \(-0.849205\pi\)
0.971411 + 0.237405i \(0.0762970\pi\)
\(762\) −1.34640 + 0.473155i −0.0487751 + 0.0171406i
\(763\) 2.61593 1.18567i 0.0947030 0.0429242i
\(764\) −4.61349 1.24134i −0.166910 0.0449101i
\(765\) 54.9597 + 17.0246i 1.98707 + 0.615526i
\(766\) 4.50113 + 6.48089i 0.162632 + 0.234164i
\(767\) 0.529391 7.67804i 0.0191152 0.277238i
\(768\) −1.65496 0.187218i −0.0597181 0.00675565i
\(769\) 28.5839 + 29.4926i 1.03076 + 1.06353i 0.997945 + 0.0640708i \(0.0204083\pi\)
0.0328180 + 0.999461i \(0.489552\pi\)
\(770\) −5.42116 3.71505i −0.195365 0.133881i
\(771\) −1.98177 5.52845i −0.0713717 0.199102i
\(772\) −1.63531 + 1.91349i −0.0588561 + 0.0688680i