Properties

Label 983.2.c.a.2.8
Level $983$
Weight $2$
Character 983.2
Analytic conductor $7.849$
Analytic rank $0$
Dimension $39690$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 983 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 983.c (of order \(491\), degree \(490\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(7.84929451869\)
Analytic rank: \(0\)
Dimension: \(39690\)
Relative dimension: \(81\) over \(\Q(\zeta_{491})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{491}]$

Embedding invariants

Embedding label 2.8
Character \(\chi\) \(=\) 983.2
Dual form 983.2.c.a.492.8

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.752960 + 2.24863i) q^{2} +(-1.39225 - 0.782183i) q^{3} +(-2.89269 - 2.18189i) q^{4} +(0.987618 - 1.48965i) q^{5} +(2.80715 - 2.54170i) q^{6} +(-0.299880 + 0.661733i) q^{7} +(3.17392 - 2.17814i) q^{8} +(-0.233998 - 0.384191i) q^{9} +O(q^{10})\) \(q+(-0.752960 + 2.24863i) q^{2} +(-1.39225 - 0.782183i) q^{3} +(-2.89269 - 2.18189i) q^{4} +(0.987618 - 1.48965i) q^{5} +(2.80715 - 2.54170i) q^{6} +(-0.299880 + 0.661733i) q^{7} +(3.17392 - 2.17814i) q^{8} +(-0.233998 - 0.384191i) q^{9} +(2.60605 + 3.34244i) q^{10} +(-4.39578 - 0.281642i) q^{11} +(2.32069 + 5.30035i) q^{12} +(-4.39025 - 5.07258i) q^{13} +(-1.26220 - 1.17258i) q^{14} +(-2.54019 + 1.30146i) q^{15} +(0.517000 + 1.80930i) q^{16} +(1.19195 - 0.526432i) q^{17} +(1.04010 - 0.236895i) q^{18} +(3.98092 + 3.04288i) q^{19} +(-6.10714 + 2.15423i) q^{20} +(0.935104 - 0.686733i) q^{21} +(3.94315 - 9.67243i) q^{22} +(0.588907 + 5.55746i) q^{23} +(-6.12257 + 0.549913i) q^{24} +(0.702940 + 1.66309i) q^{25} +(14.7121 - 6.05262i) q^{26} +(0.193831 + 5.50572i) q^{27} +(2.31129 - 1.25988i) q^{28} +(-3.23884 + 4.68734i) q^{29} +(-1.01386 - 6.69191i) q^{30} +(1.82812 + 2.71946i) q^{31} +(3.23338 + 0.144915i) q^{32} +(5.89971 + 3.83042i) q^{33} +(0.286261 + 3.07664i) q^{34} +(0.689585 + 1.10026i) q^{35} +(-0.161381 + 1.62190i) q^{36} +(4.26298 - 1.05741i) q^{37} +(-9.83980 + 6.66047i) q^{38} +(2.14462 + 10.4963i) q^{39} +(-0.110048 - 6.87920i) q^{40} +(3.39662 + 0.305075i) q^{41} +(0.840115 + 2.61979i) q^{42} +(4.06614 + 5.57403i) q^{43} +(12.1011 + 10.4058i) q^{44} +(-0.803412 - 0.0308583i) q^{45} +(-12.9401 - 2.86031i) q^{46} +(-3.46304 - 11.5574i) q^{47} +(0.695415 - 2.92338i) q^{48} +(4.26676 + 4.86661i) q^{49} +(-4.26896 + 0.328417i) q^{50} +(-2.07125 - 0.199402i) q^{51} +(1.63180 + 24.2525i) q^{52} +(-4.46698 + 4.09688i) q^{53} +(-12.5263 - 3.70973i) q^{54} +(-4.76090 + 6.27003i) q^{55} +(0.489548 + 2.75347i) q^{56} +(-3.16233 - 7.35025i) q^{57} +(-8.10139 - 10.8124i) q^{58} +(11.8166 + 0.909068i) q^{59} +(10.1876 + 1.77769i) q^{60} +(-6.12560 - 5.19964i) q^{61} +(-7.49158 + 2.06312i) q^{62} +(0.324403 - 0.0396327i) q^{63} +(-4.11403 + 10.6732i) q^{64} +(-11.8923 + 1.53018i) q^{65} +(-13.0555 + 10.3821i) q^{66} +(-4.34650 + 3.73759i) q^{67} +(-4.59656 - 1.07791i) q^{68} +(3.52705 - 8.19798i) q^{69} +(-2.99331 + 0.722175i) q^{70} +(-2.00995 + 1.64080i) q^{71} +(-1.57951 - 0.709712i) q^{72} +(12.1241 + 8.66720i) q^{73} +(-0.832126 + 10.3821i) q^{74} +(0.322173 - 2.86525i) q^{75} +(-4.87633 - 17.4881i) q^{76} +(1.50458 - 2.82437i) q^{77} +(-25.2170 - 3.08080i) q^{78} +(6.03316 - 0.894318i) q^{79} +(3.20583 + 1.01675i) q^{80} +(3.41742 - 6.61783i) q^{81} +(-3.24352 + 7.40804i) q^{82} +(-11.8021 + 3.66016i) q^{83} +(-4.20334 - 0.0537919i) q^{84} +(0.392991 - 2.29551i) q^{85} +(-15.5956 + 4.94624i) q^{86} +(8.17563 - 3.99256i) q^{87} +(-14.5653 + 8.68069i) q^{88} +(-6.34397 - 4.17680i) q^{89} +(0.674326 - 1.78334i) q^{90} +(4.67324 - 1.38401i) q^{91} +(10.4223 - 17.3609i) q^{92} +(-0.418071 - 5.21608i) q^{93} +(28.5959 + 0.915145i) q^{94} +(8.46447 - 2.92499i) q^{95} +(-4.38831 - 2.73086i) q^{96} +(1.33252 - 0.0682669i) q^{97} +(-14.1559 + 5.93001i) q^{98} +(0.920398 + 1.75472i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 39690 q - 489 q^{2} - 487 q^{3} - 565 q^{4} - 485 q^{5} - 477 q^{6} - 489 q^{7} - 485 q^{8} - 558 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 39690 q - 489 q^{2} - 487 q^{3} - 565 q^{4} - 485 q^{5} - 477 q^{6} - 489 q^{7} - 485 q^{8} - 558 q^{9} - 471 q^{10} - 477 q^{11} - 463 q^{12} - 483 q^{13} - 473 q^{14} - 461 q^{15} - 543 q^{16} - 481 q^{17} - 457 q^{18} - 473 q^{19} - 449 q^{20} - 449 q^{21} - 459 q^{22} - 473 q^{23} - 405 q^{24} - 552 q^{25} - 437 q^{26} - 451 q^{27} - 455 q^{28} - 455 q^{29} - 379 q^{30} - 459 q^{31} - 437 q^{32} - 447 q^{33} - 423 q^{34} - 439 q^{35} - 459 q^{36} - 475 q^{37} - 423 q^{38} - 439 q^{39} - 413 q^{40} - 455 q^{41} - 407 q^{42} - 457 q^{43} - 413 q^{44} - 397 q^{45} - 415 q^{46} - 467 q^{47} - 393 q^{48} - 524 q^{49} - 429 q^{50} - 403 q^{51} - 391 q^{52} - 431 q^{53} - 379 q^{54} - 415 q^{55} - 371 q^{56} - 447 q^{57} - 431 q^{58} - 439 q^{59} - 261 q^{60} - 431 q^{61} - 383 q^{62} - 445 q^{63} - 447 q^{64} - 415 q^{65} - 345 q^{66} - 439 q^{67} - 409 q^{68} - 367 q^{69} - 345 q^{70} - 415 q^{71} - 341 q^{72} - 465 q^{73} - 359 q^{74} - 339 q^{75} - 361 q^{76} - 363 q^{77} - 341 q^{78} - 423 q^{79} - 249 q^{80} - 420 q^{81} - 371 q^{82} - 433 q^{83} - 215 q^{84} - 409 q^{85} - 369 q^{86} - 329 q^{87} - 255 q^{88} - 393 q^{89} - 251 q^{90} - 373 q^{91} - 387 q^{92} - 369 q^{93} - 317 q^{94} - 393 q^{95} - 149 q^{96} - 415 q^{97} - 307 q^{98} - 299 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/983\mathbb{Z}\right)^\times\).

\(n\) \(5\)
\(\chi(n)\) \(e\left(\frac{337}{491}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.752960 + 2.24863i −0.532423 + 1.59002i 0.250639 + 0.968081i \(0.419359\pi\)
−0.783062 + 0.621944i \(0.786343\pi\)
\(3\) −1.39225 0.782183i −0.803813 0.451594i 0.0327504 0.999464i \(-0.489573\pi\)
−0.836564 + 0.547870i \(0.815439\pi\)
\(4\) −2.89269 2.18189i −1.44635 1.09095i
\(5\) 0.987618 1.48965i 0.441676 0.666193i −0.543170 0.839623i \(-0.682776\pi\)
0.984846 + 0.173429i \(0.0554848\pi\)
\(6\) 2.80715 2.54170i 1.14601 1.03764i
\(7\) −0.299880 + 0.661733i −0.113344 + 0.250111i −0.958883 0.283803i \(-0.908404\pi\)
0.845538 + 0.533915i \(0.179280\pi\)
\(8\) 3.17392 2.17814i 1.12215 0.770087i
\(9\) −0.233998 0.384191i −0.0779993 0.128064i
\(10\) 2.60605 + 3.34244i 0.824105 + 1.05697i
\(11\) −4.39578 0.281642i −1.32538 0.0849182i −0.614881 0.788620i \(-0.710796\pi\)
−0.710496 + 0.703702i \(0.751529\pi\)
\(12\) 2.32069 + 5.30035i 0.669926 + 1.53008i
\(13\) −4.39025 5.07258i −1.21764 1.40688i −0.886136 0.463425i \(-0.846621\pi\)
−0.331500 0.943455i \(-0.607555\pi\)
\(14\) −1.26220 1.17258i −0.337336 0.313385i
\(15\) −2.54019 + 1.30146i −0.655874 + 0.336037i
\(16\) 0.517000 + 1.80930i 0.129250 + 0.452325i
\(17\) 1.19195 0.526432i 0.289091 0.127678i −0.254386 0.967103i \(-0.581873\pi\)
0.543477 + 0.839424i \(0.317108\pi\)
\(18\) 1.04010 0.236895i 0.245153 0.0558367i
\(19\) 3.98092 + 3.04288i 0.913286 + 0.698085i 0.953592 0.301102i \(-0.0973545\pi\)
−0.0403056 + 0.999187i \(0.512833\pi\)
\(20\) −6.10714 + 2.15423i −1.36560 + 0.481700i
\(21\) 0.935104 0.686733i 0.204056 0.149857i
\(22\) 3.94315 9.67243i 0.840683 2.06217i
\(23\) 0.588907 + 5.55746i 0.122796 + 1.15881i 0.869596 + 0.493763i \(0.164379\pi\)
−0.746801 + 0.665048i \(0.768411\pi\)
\(24\) −6.12257 + 0.549913i −1.24977 + 0.112251i
\(25\) 0.702940 + 1.66309i 0.140588 + 0.332617i
\(26\) 14.7121 6.05262i 2.88527 1.18702i
\(27\) 0.193831 + 5.50572i 0.0373029 + 1.05958i
\(28\) 2.31129 1.25988i 0.436793 0.238095i
\(29\) −3.23884 + 4.68734i −0.601438 + 0.870417i −0.998885 0.0472081i \(-0.984968\pi\)
0.397447 + 0.917625i \(0.369896\pi\)
\(30\) −1.01386 6.69191i −0.185104 1.22177i
\(31\) 1.82812 + 2.71946i 0.328340 + 0.488430i 0.957335 0.288979i \(-0.0933157\pi\)
−0.628996 + 0.777409i \(0.716534\pi\)
\(32\) 3.23338 + 0.144915i 0.571587 + 0.0256176i
\(33\) 5.89971 + 3.83042i 1.02701 + 0.666790i
\(34\) 0.286261 + 3.07664i 0.0490934 + 0.527640i
\(35\) 0.689585 + 1.10026i 0.116561 + 0.185977i
\(36\) −0.161381 + 1.62190i −0.0268968 + 0.270317i
\(37\) 4.26298 1.05741i 0.700829 0.173837i 0.125903 0.992043i \(-0.459817\pi\)
0.574926 + 0.818206i \(0.305031\pi\)
\(38\) −9.83980 + 6.66047i −1.59623 + 1.08047i
\(39\) 2.14462 + 10.4963i 0.343414 + 1.68075i
\(40\) −0.110048 6.87920i −0.0174002 1.08770i
\(41\) 3.39662 + 0.305075i 0.530463 + 0.0476448i 0.351458 0.936203i \(-0.385686\pi\)
0.179004 + 0.983848i \(0.442712\pi\)
\(42\) 0.840115 + 2.61979i 0.129633 + 0.404242i
\(43\) 4.06614 + 5.57403i 0.620081 + 0.850032i 0.997094 0.0761759i \(-0.0242710\pi\)
−0.377014 + 0.926208i \(0.623049\pi\)
\(44\) 12.1011 + 10.4058i 1.82431 + 1.56874i
\(45\) −0.803412 0.0308583i −0.119766 0.00460008i
\(46\) −12.9401 2.86031i −1.90792 0.421730i
\(47\) −3.46304 11.5574i −0.505136 1.68582i −0.707670 0.706543i \(-0.750254\pi\)
0.202534 0.979275i \(-0.435082\pi\)
\(48\) 0.695415 2.92338i 0.100375 0.421953i
\(49\) 4.26676 + 4.86661i 0.609537 + 0.695230i
\(50\) −4.26896 + 0.328417i −0.603722 + 0.0464452i
\(51\) −2.07125 0.199402i −0.290034 0.0279219i
\(52\) 1.63180 + 24.2525i 0.226290 + 3.36321i
\(53\) −4.46698 + 4.09688i −0.613587 + 0.562750i −0.921360 0.388709i \(-0.872921\pi\)
0.307774 + 0.951460i \(0.400416\pi\)
\(54\) −12.5263 3.70973i −1.70461 0.504830i
\(55\) −4.76090 + 6.27003i −0.641959 + 0.845451i
\(56\) 0.489548 + 2.75347i 0.0654186 + 0.367947i
\(57\) −3.16233 7.35025i −0.418861 0.973565i
\(58\) −8.10139 10.8124i −1.06376 1.41973i
\(59\) 11.8166 + 0.909068i 1.53839 + 0.118351i 0.818000 0.575219i \(-0.195083\pi\)
0.720390 + 0.693569i \(0.243963\pi\)
\(60\) 10.1876 + 1.77769i 1.31522 + 0.229499i
\(61\) −6.12560 5.19964i −0.784303 0.665746i 0.162806 0.986658i \(-0.447945\pi\)
−0.947109 + 0.320912i \(0.896011\pi\)
\(62\) −7.49158 + 2.06312i −0.951431 + 0.262017i
\(63\) 0.324403 0.0396327i 0.0408710 0.00499325i
\(64\) −4.11403 + 10.6732i −0.514254 + 1.33415i
\(65\) −11.8923 + 1.53018i −1.47506 + 0.189796i
\(66\) −13.0555 + 10.3821i −1.60702 + 1.27795i
\(67\) −4.34650 + 3.73759i −0.531010 + 0.456619i −0.876223 0.481905i \(-0.839945\pi\)
0.345213 + 0.938524i \(0.387807\pi\)
\(68\) −4.59656 1.07791i −0.557415 0.130715i
\(69\) 3.52705 8.19798i 0.424607 0.986921i
\(70\) −2.99331 + 0.722175i −0.357768 + 0.0863164i
\(71\) −2.00995 + 1.64080i −0.238537 + 0.194727i −0.744110 0.668057i \(-0.767126\pi\)
0.505573 + 0.862784i \(0.331281\pi\)
\(72\) −1.57951 0.709712i −0.186147 0.0836403i
\(73\) 12.1241 + 8.66720i 1.41901 + 1.01442i 0.994017 + 0.109224i \(0.0348365\pi\)
0.424996 + 0.905195i \(0.360275\pi\)
\(74\) −0.832126 + 10.3821i −0.0967327 + 1.20689i
\(75\) 0.322173 2.86525i 0.0372014 0.330851i
\(76\) −4.87633 17.4881i −0.559353 2.00602i
\(77\) 1.50458 2.82437i 0.171463 0.321867i
\(78\) −25.2170 3.08080i −2.85527 0.348831i
\(79\) 6.03316 0.894318i 0.678783 0.100619i 0.201661 0.979455i \(-0.435366\pi\)
0.477122 + 0.878837i \(0.341680\pi\)
\(80\) 3.20583 + 1.01675i 0.358423 + 0.113676i
\(81\) 3.41742 6.61783i 0.379713 0.735315i
\(82\) −3.24352 + 7.40804i −0.358187 + 0.818082i
\(83\) −11.8021 + 3.66016i −1.29545 + 0.401754i −0.865413 0.501059i \(-0.832944\pi\)
−0.430032 + 0.902813i \(0.641498\pi\)
\(84\) −4.20334 0.0537919i −0.458622 0.00586918i
\(85\) 0.392991 2.29551i 0.0426259 0.248983i
\(86\) −15.5956 + 4.94624i −1.68172 + 0.533367i
\(87\) 8.17563 3.99256i 0.876519 0.428047i
\(88\) −14.5653 + 8.68069i −1.55267 + 0.925365i
\(89\) −6.34397 4.17680i −0.672459 0.442740i 0.167150 0.985932i \(-0.446544\pi\)
−0.839609 + 0.543191i \(0.817216\pi\)
\(90\) 0.674326 1.78334i 0.0710802 0.187981i
\(91\) 4.67324 1.38401i 0.489889 0.145083i
\(92\) 10.4223 17.3609i 1.08660 1.81000i
\(93\) −0.418071 5.21608i −0.0433520 0.540883i
\(94\) 28.5959 + 0.915145i 2.94944 + 0.0943900i
\(95\) 8.46447 2.92499i 0.868437 0.300098i
\(96\) −4.38831 2.73086i −0.447880 0.278717i
\(97\) 1.33252 0.0682669i 0.135296 0.00693145i 0.0166012 0.999862i \(-0.494715\pi\)
0.118695 + 0.992931i \(0.462129\pi\)
\(98\) −14.1559 + 5.93001i −1.42996 + 0.599021i
\(99\) 0.920398 + 1.75472i 0.0925035 + 0.176356i
\(100\) 1.59529 6.34454i 0.159529 0.634454i
\(101\) −7.61627 5.51867i −0.757847 0.549128i 0.139622 0.990205i \(-0.455411\pi\)
−0.897469 + 0.441077i \(0.854597\pi\)
\(102\) 2.00795 4.50735i 0.198817 0.446294i
\(103\) −2.72578 1.06070i −0.268579 0.104513i 0.224571 0.974458i \(-0.427902\pi\)
−0.493150 + 0.869944i \(0.664155\pi\)
\(104\) −24.9831 6.53738i −2.44979 0.641043i
\(105\) −0.0994689 2.07121i −0.00970717 0.202129i
\(106\) −5.84894 13.1294i −0.568099 1.27524i
\(107\) −3.79873 + 18.0038i −0.367238 + 1.74049i 0.263652 + 0.964618i \(0.415073\pi\)
−0.630890 + 0.775872i \(0.717310\pi\)
\(108\) 11.4522 16.3492i 1.10199 1.57321i
\(109\) −7.15903 8.48881i −0.685710 0.813080i 0.304522 0.952505i \(-0.401503\pi\)
−0.990233 + 0.139425i \(0.955475\pi\)
\(110\) −10.5142 15.4266i −1.00249 1.47087i
\(111\) −6.76220 1.86226i −0.641839 0.176758i
\(112\) −1.35231 0.200458i −0.127781 0.0189415i
\(113\) 4.80369 + 2.34587i 0.451893 + 0.220681i 0.650666 0.759364i \(-0.274490\pi\)
−0.198773 + 0.980046i \(0.563696\pi\)
\(114\) 18.9091 1.57647i 1.77100 0.147650i
\(115\) 8.86031 + 4.61138i 0.826228 + 0.430014i
\(116\) 19.5963 6.49220i 1.81947 0.602786i
\(117\) −0.921530 + 2.87367i −0.0851954 + 0.265671i
\(118\) −10.9416 + 25.8867i −1.00725 + 2.38306i
\(119\) −0.00908549 + 0.946620i −0.000832866 + 0.0867765i
\(120\) −5.22759 + 9.66362i −0.477211 + 0.882164i
\(121\) 8.33348 + 1.07227i 0.757589 + 0.0974792i
\(122\) 16.3044 9.85911i 1.47613 0.892602i
\(123\) −4.49030 3.08152i −0.404877 0.277851i
\(124\) 0.645401 11.8553i 0.0579587 1.06464i
\(125\) 11.9548 + 2.24405i 1.06927 + 0.200714i
\(126\) −0.155143 + 0.759306i −0.0138213 + 0.0676443i
\(127\) −2.32075 5.59014i −0.205934 0.496045i 0.786680 0.617360i \(-0.211798\pi\)
−0.992614 + 0.121315i \(0.961289\pi\)
\(128\) −15.9141 13.1619i −1.40662 1.16335i
\(129\) −1.30115 10.9409i −0.114560 0.963291i
\(130\) 5.51359 27.8935i 0.483574 2.44642i
\(131\) 16.6274 + 8.51906i 1.45275 + 0.744314i 0.989852 0.142100i \(-0.0453853\pi\)
0.462894 + 0.886414i \(0.346811\pi\)
\(132\) −8.70845 23.9528i −0.757973 2.08482i
\(133\) −3.20738 + 1.72181i −0.278115 + 0.149300i
\(134\) −5.13172 12.5880i −0.443314 1.08743i
\(135\) 8.39304 + 5.14880i 0.722358 + 0.443138i
\(136\) 2.63651 4.26708i 0.226079 0.365899i
\(137\) 5.79006 + 10.2292i 0.494678 + 0.873942i 0.999940 + 0.0109755i \(0.00349367\pi\)
−0.505262 + 0.862966i \(0.668604\pi\)
\(138\) 15.7785 + 14.1038i 1.34316 + 1.20060i
\(139\) 10.2271 19.4978i 0.867453 1.65378i 0.116731 0.993164i \(-0.462758\pi\)
0.750722 0.660619i \(-0.229706\pi\)
\(140\) 0.405889 4.68731i 0.0343039 0.396150i
\(141\) −4.21860 + 18.7994i −0.355270 + 1.58320i
\(142\) −2.17614 5.75510i −0.182618 0.482957i
\(143\) 17.8699 + 23.5344i 1.49436 + 1.96805i
\(144\) 0.574140 0.621999i 0.0478450 0.0518333i
\(145\) 3.78377 + 9.45406i 0.314225 + 0.785117i
\(146\) −28.6183 + 20.7365i −2.36847 + 1.71617i
\(147\) −2.13379 10.1129i −0.175992 0.834098i
\(148\) −14.6386 6.24261i −1.20329 0.513139i
\(149\) 2.50013 + 9.68075i 0.204818 + 0.793078i 0.985716 + 0.168419i \(0.0538661\pi\)
−0.780897 + 0.624659i \(0.785238\pi\)
\(150\) 6.20032 + 2.88187i 0.506254 + 0.235304i
\(151\) 7.12173 2.56347i 0.579558 0.208612i −0.0324363 0.999474i \(-0.510327\pi\)
0.611995 + 0.790862i \(0.290367\pi\)
\(152\) 19.2629 + 0.986871i 1.56243 + 0.0800458i
\(153\) −0.481165 0.334753i −0.0388998 0.0270632i
\(154\) 5.21809 + 5.50989i 0.420486 + 0.443999i
\(155\) 5.85654 0.0374727i 0.470409 0.00300988i
\(156\) 16.6980 35.0417i 1.33691 2.80558i
\(157\) −6.72794 7.28877i −0.536948 0.581707i 0.406323 0.913729i \(-0.366811\pi\)
−0.943271 + 0.332023i \(0.892269\pi\)
\(158\) −2.53173 + 14.2397i −0.201414 + 1.13285i
\(159\) 9.42364 2.20987i 0.747344 0.175254i
\(160\) 3.40922 4.67350i 0.269523 0.369473i
\(161\) −3.85416 1.27687i −0.303750 0.100632i
\(162\) 12.3079 + 12.6675i 0.967000 + 0.995251i
\(163\) −16.7510 + 4.26896i −1.31204 + 0.334371i −0.837777 0.546012i \(-0.816145\pi\)
−0.474264 + 0.880383i \(0.657286\pi\)
\(164\) −9.15973 8.29356i −0.715255 0.647618i
\(165\) 11.5327 5.00553i 0.897816 0.389680i
\(166\) 0.656138 29.2945i 0.0509261 2.27369i
\(167\) 0.683164 + 3.70476i 0.0528648 + 0.286683i 0.999349 0.0360660i \(-0.0114826\pi\)
−0.946485 + 0.322749i \(0.895393\pi\)
\(168\) 1.47214 4.21642i 0.113578 0.325304i
\(169\) −4.59169 + 31.6742i −0.353207 + 2.43648i
\(170\) 4.86585 + 2.61212i 0.373194 + 0.200340i
\(171\) 0.237521 2.24146i 0.0181637 0.171409i
\(172\) 0.399865 24.9958i 0.0304894 1.90591i
\(173\) −23.1972 + 4.35438i −1.76365 + 0.331058i −0.963291 0.268461i \(-0.913485\pi\)
−0.800361 + 0.599519i \(0.795359\pi\)
\(174\) 2.82188 + 21.3902i 0.213926 + 1.62159i
\(175\) −1.31132 0.0335684i −0.0991263 0.00253753i
\(176\) −1.76304 8.09889i −0.132894 0.610477i
\(177\) −15.7405 10.5084i −1.18313 0.789859i
\(178\) 14.1689 11.1203i 1.06200 0.833501i
\(179\) −9.18085 4.41093i −0.686209 0.329688i 0.0573546 0.998354i \(-0.481733\pi\)
−0.743563 + 0.668665i \(0.766866\pi\)
\(180\) 2.25669 + 1.84222i 0.168204 + 0.137311i
\(181\) −1.66313 3.32432i −0.123619 0.247095i 0.823938 0.566680i \(-0.191772\pi\)
−0.947558 + 0.319585i \(0.896457\pi\)
\(182\) −0.406641 + 11.5505i −0.0301423 + 0.856181i
\(183\) 4.46126 + 12.0305i 0.329786 + 0.889322i
\(184\) 13.9740 + 16.3562i 1.03018 + 1.20580i
\(185\) 2.63502 7.39467i 0.193731 0.543667i
\(186\) 12.0439 + 2.98741i 0.883098 + 0.219048i
\(187\) −5.38782 + 1.97837i −0.393996 + 0.144673i
\(188\) −15.1995 + 40.9879i −1.10854 + 2.98935i
\(189\) −3.70144 1.52279i −0.269240 0.110767i
\(190\) 0.203819 + 21.2359i 0.0147865 + 1.54061i
\(191\) 10.6535 + 5.63157i 0.770859 + 0.407486i 0.806014 0.591896i \(-0.201620\pi\)
−0.0351555 + 0.999382i \(0.511193\pi\)
\(192\) 14.0761 11.6417i 1.01586 0.840171i
\(193\) −8.25545 7.86850i −0.594240 0.566387i 0.332020 0.943272i \(-0.392270\pi\)
−0.926260 + 0.376885i \(0.876995\pi\)
\(194\) −0.849824 + 3.04774i −0.0610138 + 0.218815i
\(195\) 17.7538 + 7.17155i 1.27138 + 0.513565i
\(196\) −1.72397 23.3872i −0.123141 1.67052i
\(197\) −11.9531 + 3.20966i −0.851624 + 0.228679i −0.658579 0.752511i \(-0.728842\pi\)
−0.193044 + 0.981190i \(0.561836\pi\)
\(198\) −4.63875 + 0.748403i −0.329662 + 0.0531867i
\(199\) 7.30526 11.3309i 0.517856 0.803229i −0.479374 0.877611i \(-0.659136\pi\)
0.997230 + 0.0743815i \(0.0236983\pi\)
\(200\) 5.85350 + 3.74740i 0.413905 + 0.264981i
\(201\) 8.97488 1.80388i 0.633039 0.127236i
\(202\) 18.1442 12.9709i 1.27662 0.912627i
\(203\) −2.13050 3.54889i −0.149532 0.249083i
\(204\) 5.55642 + 5.09607i 0.389027 + 0.356796i
\(205\) 3.80902 4.75849i 0.266034 0.332347i
\(206\) 4.43752 5.33062i 0.309177 0.371402i
\(207\) 1.99732 1.52669i 0.138824 0.106112i
\(208\) 6.90806 10.5658i 0.478988 0.732607i
\(209\) −16.6422 14.4970i −1.15117 1.00278i
\(210\) 4.73229 + 1.33587i 0.326559 + 0.0921838i
\(211\) 2.56370 + 15.5733i 0.176492 + 1.07211i 0.916654 + 0.399681i \(0.130879\pi\)
−0.740162 + 0.672429i \(0.765251\pi\)
\(212\) 21.8606 2.10454i 1.50139 0.144540i
\(213\) 4.08175 0.712245i 0.279677 0.0488022i
\(214\) −37.6236 22.0981i −2.57190 1.51059i
\(215\) 12.3192 0.552126i 0.840160 0.0376547i
\(216\) 12.6074 + 17.0525i 0.857825 + 1.16028i
\(217\) −2.34778 + 0.394213i −0.159377 + 0.0267609i
\(218\) 24.4787 9.70629i 1.65791 0.657393i
\(219\) −10.1003 21.5501i −0.682516 1.45622i
\(220\) 27.4524 7.74948i 1.85084 0.522470i
\(221\) −7.90333 3.73510i −0.531635 0.251250i
\(222\) 9.27920 13.8035i 0.622779 0.926430i
\(223\) −10.0790 + 13.6327i −0.674941 + 0.912911i −0.999456 0.0329693i \(-0.989504\pi\)
0.324515 + 0.945881i \(0.394799\pi\)
\(224\) −1.06552 + 2.09618i −0.0711933 + 0.140057i
\(225\) 0.474457 0.659222i 0.0316304 0.0439482i
\(226\) −8.89200 + 9.03538i −0.591487 + 0.601025i
\(227\) 12.8698 + 21.7521i 0.854197 + 1.44374i 0.895730 + 0.444598i \(0.146654\pi\)
−0.0415334 + 0.999137i \(0.513224\pi\)
\(228\) −6.88984 + 28.1619i −0.456291 + 1.86507i
\(229\) 0.992804 4.56065i 0.0656063 0.301376i −0.932623 0.360851i \(-0.882486\pi\)
0.998230 + 0.0594745i \(0.0189425\pi\)
\(230\) −17.0408 + 16.4514i −1.12364 + 1.08477i
\(231\) −4.30392 + 2.75536i −0.283177 + 0.181289i
\(232\) −0.0701642 + 21.9319i −0.00460651 + 1.43990i
\(233\) −12.0691 + 7.40391i −0.790671 + 0.485046i −0.858601 0.512644i \(-0.828666\pi\)
0.0679298 + 0.997690i \(0.478361\pi\)
\(234\) −5.76795 4.23594i −0.377063 0.276912i
\(235\) −20.6367 6.25556i −1.34619 0.408068i
\(236\) −32.1982 28.4122i −2.09593 1.84948i
\(237\) −9.09915 3.47392i −0.591054 0.225656i
\(238\) −2.12176 0.733197i −0.137533 0.0475261i
\(239\) 2.48897 + 3.06894i 0.160998 + 0.198513i 0.850807 0.525479i \(-0.176114\pi\)
−0.689808 + 0.723992i \(0.742305\pi\)
\(240\) −3.66802 3.92311i −0.236770 0.253236i
\(241\) 12.6117 + 0.0806952i 0.812391 + 0.00519804i 0.412042 0.911165i \(-0.364816\pi\)
0.400349 + 0.916363i \(0.368889\pi\)
\(242\) −8.68592 + 17.9316i −0.558352 + 1.15269i
\(243\) 3.86988 2.54789i 0.248253 0.163447i
\(244\) 6.37439 + 28.4064i 0.408078 + 1.81853i
\(245\) 11.4635 1.54963i 0.732376 0.0990025i
\(246\) 10.3102 7.77679i 0.657356 0.495830i
\(247\) −2.04199 33.5526i −0.129928 2.13490i
\(248\) 11.7257 + 4.64946i 0.744580 + 0.295241i
\(249\) 19.2943 + 4.13555i 1.22273 + 0.262080i
\(250\) −14.0475 + 25.1922i −0.888443 + 1.59330i
\(251\) 0.947109 3.16084i 0.0597810 0.199510i −0.922823 0.385225i \(-0.874124\pi\)
0.982604 + 0.185714i \(0.0594600\pi\)
\(252\) −1.02487 0.593169i −0.0645609 0.0373661i
\(253\) −1.02349 24.5952i −0.0643462 1.54629i
\(254\) 14.3176 1.00937i 0.898367 0.0633334i
\(255\) −2.34265 + 2.88852i −0.146702 + 0.180886i
\(256\) 22.1555 13.7874i 1.38472 0.861714i
\(257\) 6.31121 4.39080i 0.393682 0.273890i −0.357595 0.933877i \(-0.616403\pi\)
0.751278 + 0.659986i \(0.229438\pi\)
\(258\) 25.5818 + 5.31224i 1.59265 + 0.330726i
\(259\) −0.578661 + 3.13805i −0.0359563 + 0.194989i
\(260\) 37.7394 + 21.5214i 2.34050 + 1.33470i
\(261\) 2.55872 + 0.147507i 0.158381 + 0.00913047i
\(262\) −31.6761 + 30.9745i −1.95695 + 1.91361i
\(263\) 5.79505 + 23.6870i 0.357338 + 1.46060i 0.819127 + 0.573612i \(0.194458\pi\)
−0.461789 + 0.886990i \(0.652792\pi\)
\(264\) 27.0684 0.692923i 1.66594 0.0426465i
\(265\) 1.69127 + 10.7004i 0.103894 + 0.657321i
\(266\) −1.45669 8.50867i −0.0893151 0.521700i
\(267\) 5.56534 + 10.7773i 0.340593 + 0.659559i
\(268\) 20.7281 1.32807i 1.26617 0.0811249i
\(269\) 13.0243 + 14.6650i 0.794105 + 0.894140i 0.996365 0.0851919i \(-0.0271503\pi\)
−0.202260 + 0.979332i \(0.564829\pi\)
\(270\) −17.8974 + 14.9960i −1.08920 + 0.912629i
\(271\) 30.2948 0.581583i 1.84028 0.0353286i 0.912632 0.408782i \(-0.134047\pi\)
0.927649 + 0.373454i \(0.121827\pi\)
\(272\) 1.56871 + 1.88443i 0.0951171 + 0.114261i
\(273\) −7.58884 1.72846i −0.459298 0.104611i
\(274\) −27.3615 + 5.31752i −1.65297 + 0.321243i
\(275\) −2.62157 7.50854i −0.158087 0.452782i
\(276\) −28.0898 + 16.0186i −1.69081 + 0.964204i
\(277\) 14.5375 7.21494i 0.873475 0.433504i 0.0485996 0.998818i \(-0.484524\pi\)
0.824876 + 0.565314i \(0.191245\pi\)
\(278\) 36.1428 + 37.6781i 2.16770 + 2.25978i
\(279\) 0.617017 1.33870i 0.0369399 0.0801456i
\(280\) 4.58520 + 1.99012i 0.274018 + 0.118932i
\(281\) 6.00932 + 13.2605i 0.358486 + 0.791055i 0.999719 + 0.0237089i \(0.00754750\pi\)
−0.641233 + 0.767346i \(0.721577\pi\)
\(282\) −39.0966 23.6413i −2.32817 1.40782i
\(283\) 3.65437 + 2.90607i 0.217229 + 0.172748i 0.725010 0.688739i \(-0.241835\pi\)
−0.507780 + 0.861487i \(0.669534\pi\)
\(284\) 9.39422 0.360822i 0.557444 0.0214109i
\(285\) −14.0725 2.54847i −0.833583 0.150958i
\(286\) −66.3756 + 22.4624i −3.92487 + 1.32823i
\(287\) −1.22046 + 2.15617i −0.0720414 + 0.127275i
\(288\) −0.700930 1.27615i −0.0413027 0.0751977i
\(289\) −10.3068 + 11.3103i −0.606285 + 0.665314i
\(290\) −24.1077 + 1.38979i −1.41566 + 0.0816110i
\(291\) −1.90859 0.947227i −0.111883 0.0555274i
\(292\) −16.1602 51.5249i −0.945705 3.01527i
\(293\) −23.9467 + 6.26619i −1.39898 + 0.366075i −0.874367 0.485266i \(-0.838723\pi\)
−0.524613 + 0.851341i \(0.675790\pi\)
\(294\) 24.3469 + 2.81650i 1.41994 + 0.164262i
\(295\) 13.0245 16.7048i 0.758314 0.972592i
\(296\) 11.2272 12.6415i 0.652565 0.734770i
\(297\) 0.698601 24.2565i 0.0405369 1.40750i
\(298\) −23.6510 1.66735i −1.37006 0.0965872i
\(299\) 25.6052 27.3859i 1.48079 1.58377i
\(300\) −7.18363 + 7.58534i −0.414747 + 0.437940i
\(301\) −4.90788 + 1.01916i −0.282885 + 0.0587432i
\(302\) 0.401918 + 17.9444i 0.0231278 + 1.03258i
\(303\) 6.28711 + 13.6407i 0.361185 + 0.783635i
\(304\) −3.44736 + 8.77586i −0.197719 + 0.503330i
\(305\) −13.7954 + 3.98976i −0.789924 + 0.228453i
\(306\) 1.11503 0.829907i 0.0637423 0.0474426i
\(307\) 21.1762 20.9739i 1.20859 1.19705i 0.234197 0.972189i \(-0.424754\pi\)
0.974392 0.224856i \(-0.0721912\pi\)
\(308\) −10.5148 + 4.88720i −0.599134 + 0.278474i
\(309\) 2.96530 + 3.60881i 0.168690 + 0.205298i
\(310\) −4.32548 + 13.1974i −0.245671 + 0.749564i
\(311\) −19.6065 + 13.0893i −1.11178 + 0.742225i −0.968885 0.247513i \(-0.920387\pi\)
−0.142896 + 0.989738i \(0.545641\pi\)
\(312\) 29.6691 + 28.6430i 1.67968 + 1.62159i
\(313\) 21.3339 + 4.28794i 1.20586 + 0.242369i 0.758314 0.651890i \(-0.226023\pi\)
0.447551 + 0.894259i \(0.352296\pi\)
\(314\) 21.4556 9.64053i 1.21081 0.544047i
\(315\) 0.261347 0.522390i 0.0147253 0.0294334i
\(316\) −19.4034 10.5767i −1.09152 0.594987i
\(317\) −13.2120 + 6.66278i −0.742059 + 0.374219i −0.780594 0.625038i \(-0.785083\pi\)
0.0385349 + 0.999257i \(0.487731\pi\)
\(318\) −2.12644 + 22.8543i −0.119245 + 1.28160i
\(319\) 15.5574 19.6923i 0.871047 1.10256i
\(320\) 11.8362 + 16.6695i 0.661666 + 0.931854i
\(321\) 19.3710 22.0944i 1.08118 1.23319i
\(322\) 5.77325 7.70515i 0.321731 0.429391i
\(323\) 6.34694 + 1.53128i 0.353153 + 0.0852029i
\(324\) −24.3249 + 11.6869i −1.35139 + 0.649272i
\(325\) 5.35005 10.8671i 0.296768 0.602798i
\(326\) 3.01353 40.8813i 0.166904 2.26420i
\(327\) 3.32731 + 17.4182i 0.184001 + 0.963227i
\(328\) 11.4451 6.43001i 0.631949 0.355038i
\(329\) 8.68640 + 1.17423i 0.478897 + 0.0647372i
\(330\) 2.57197 + 29.7017i 0.141582 + 1.63502i
\(331\) −8.57695 3.59294i −0.471432 0.197486i 0.137829 0.990456i \(-0.455988\pi\)
−0.609260 + 0.792970i \(0.708534\pi\)
\(332\) 42.1258 + 15.1632i 2.31195 + 0.832188i
\(333\) −1.40377 1.39037i −0.0769264 0.0761916i
\(334\) −8.84505 1.25335i −0.483979 0.0685804i
\(335\) 1.27503 + 10.1661i 0.0696621 + 0.555433i
\(336\) 1.72595 + 1.33684i 0.0941585 + 0.0729308i
\(337\) 2.05040 3.27148i 0.111692 0.178209i −0.786787 0.617224i \(-0.788257\pi\)
0.898480 + 0.439015i \(0.144673\pi\)
\(338\) −67.7664 34.1745i −3.68601 1.85885i
\(339\) −4.85301 7.02340i −0.263579 0.381459i
\(340\) −6.14536 + 5.78273i −0.333279 + 0.313612i
\(341\) −7.27009 12.4690i −0.393697 0.675236i
\(342\) 4.86139 + 2.22183i 0.262874 + 0.120143i
\(343\) −9.36680 + 2.83934i −0.505760 + 0.153310i
\(344\) 25.0466 + 8.83491i 1.35042 + 0.476346i
\(345\) −8.72877 13.3506i −0.469941 0.718770i
\(346\) 7.67516 55.4407i 0.412619 2.98051i
\(347\) 22.1161 + 9.76770i 1.18725 + 0.524357i 0.901010 0.433799i \(-0.142827\pi\)
0.286244 + 0.958157i \(0.407593\pi\)
\(348\) −32.3609 6.28913i −1.73473 0.337133i
\(349\) −1.27025 8.76238i −0.0679947 0.469040i −0.995464 0.0951399i \(-0.969670\pi\)
0.927469 0.373900i \(-0.121980\pi\)
\(350\) 1.06285 2.92340i 0.0568119 0.156262i
\(351\) 27.0772 25.1547i 1.44527 1.34266i
\(352\) −14.1724 1.54767i −0.755392 0.0824912i
\(353\) −11.7745 11.8122i −0.626693 0.628701i 0.321306 0.946975i \(-0.395878\pi\)
−0.947999 + 0.318275i \(0.896897\pi\)
\(354\) 35.4815 27.4823i 1.88582 1.46067i
\(355\) 0.459158 + 4.61461i 0.0243696 + 0.244918i
\(356\) 9.23779 + 25.9241i 0.489602 + 1.37397i
\(357\) 0.753080 1.31082i 0.0398572 0.0693760i
\(358\) 16.8314 17.3231i 0.889566 0.915555i
\(359\) −9.36445 + 4.87377i −0.494237 + 0.257227i −0.690511 0.723321i \(-0.742615\pi\)
0.196275 + 0.980549i \(0.437116\pi\)
\(360\) −2.61718 + 1.65200i −0.137937 + 0.0870680i
\(361\) 1.60258 + 5.89285i 0.0843464 + 0.310150i
\(362\) 8.72745 1.23669i 0.458705 0.0649989i
\(363\) −10.7635 8.01118i −0.564939 0.420478i
\(364\) −16.5380 6.19302i −0.866826 0.324602i
\(365\) 24.8851 9.50076i 1.30254 0.497292i
\(366\) −30.4114 + 0.973247i −1.58963 + 0.0508724i
\(367\) 1.92939 + 17.1590i 0.100713 + 0.895693i 0.937458 + 0.348100i \(0.113173\pi\)
−0.836744 + 0.547594i \(0.815544\pi\)
\(368\) −9.75066 + 3.93871i −0.508288 + 0.205320i
\(369\) −0.677595 1.37634i −0.0352742 0.0716493i
\(370\) 14.6438 + 11.4931i 0.761297 + 0.597497i
\(371\) −1.37148 4.18452i −0.0712039 0.217250i
\(372\) −10.1716 + 16.0007i −0.527373 + 0.829598i
\(373\) −0.234294 + 5.63025i −0.0121313 + 0.291524i 0.982380 + 0.186894i \(0.0598422\pi\)
−0.994511 + 0.104629i \(0.966634\pi\)
\(374\) −0.391828 13.6049i −0.0202609 0.703491i
\(375\) −14.8887 12.4751i −0.768851 0.644212i
\(376\) −36.1650 29.1392i −1.86507 1.50274i
\(377\) 37.9962 4.14930i 1.95691 0.213700i
\(378\) 6.21124 7.17658i 0.319472 0.369123i
\(379\) −25.4699 7.89892i −1.30830 0.405740i −0.438315 0.898821i \(-0.644425\pi\)
−0.869984 + 0.493081i \(0.835871\pi\)
\(380\) −30.8671 10.0075i −1.58345 0.513374i
\(381\) −1.14146 + 9.59811i −0.0584788 + 0.491726i
\(382\) −20.6850 + 19.7154i −1.05834 + 1.00873i
\(383\) −15.8596 29.7714i −0.810387 1.52125i −0.852855 0.522147i \(-0.825131\pi\)
0.0424683 0.999098i \(-0.486478\pi\)
\(384\) 11.8613 + 30.7723i 0.605297 + 1.57034i
\(385\) −2.72139 5.03070i −0.138695 0.256388i
\(386\) 23.9094 12.6388i 1.21696 0.643299i
\(387\) 1.19002 2.86649i 0.0604923 0.145712i
\(388\) −4.00351 2.70993i −0.203247 0.137576i
\(389\) 10.4052 + 3.82074i 0.527567 + 0.193719i 0.594585 0.804032i \(-0.297316\pi\)
−0.0670188 + 0.997752i \(0.521349\pi\)
\(390\) −29.4941 + 34.5220i −1.49349 + 1.74809i
\(391\) 3.62757 + 6.31420i 0.183454 + 0.319323i
\(392\) 24.1425 + 6.15265i 1.21938 + 0.310756i
\(393\) −16.4860 24.8663i −0.831609 1.25434i
\(394\) 1.78287 29.2949i 0.0898196 1.47586i
\(395\) 4.62623 9.87056i 0.232771 0.496642i
\(396\) 1.16619 7.08408i 0.0586033 0.355988i
\(397\) −1.02851 + 15.2862i −0.0516196 + 0.767190i 0.895248 + 0.445568i \(0.146998\pi\)
−0.946868 + 0.321623i \(0.895772\pi\)
\(398\) 19.9786 + 24.9586i 1.00144 + 1.25106i
\(399\) 5.81222 + 0.111580i 0.290975 + 0.00558597i
\(400\) −2.64561 + 2.13165i −0.132280 + 0.106582i
\(401\) 6.05657 6.07598i 0.302451 0.303420i −0.540572 0.841298i \(-0.681792\pi\)
0.843023 + 0.537878i \(0.180774\pi\)
\(402\) −2.70147 + 21.5395i −0.134737 + 1.07429i
\(403\) 5.76879 21.2124i 0.287364 1.05666i
\(404\) 9.99036 + 32.5817i 0.497039 + 1.62100i
\(405\) −6.48317 11.6267i −0.322152 0.577733i
\(406\) 9.58434 2.11854i 0.475663 0.105141i
\(407\) −19.0369 + 3.44750i −0.943624 + 0.170886i
\(408\) −7.00832 + 3.87859i −0.346963 + 0.192019i
\(409\) 10.9685 + 12.1922i 0.542358 + 0.602866i 0.950757 0.309937i \(-0.100308\pi\)
−0.408399 + 0.912803i \(0.633913\pi\)
\(410\) 7.83206 + 12.1480i 0.386798 + 0.599949i
\(411\) −0.0600503 18.7705i −0.00296206 0.925879i
\(412\) 5.57051 + 9.01563i 0.274440 + 0.444168i
\(413\) −4.14512 + 7.54681i −0.203968 + 0.371354i
\(414\) 1.92905 + 5.64078i 0.0948079 + 0.277229i
\(415\) −6.20358 + 21.1958i −0.304522 + 1.04046i
\(416\) −13.4603 17.0378i −0.659944 0.835347i
\(417\) −29.4895 + 19.1462i −1.44411 + 0.937596i
\(418\) 45.1295 26.5066i 2.20735 1.29648i
\(419\) −17.7170 + 15.0388i −0.865530 + 0.734695i −0.965530 0.260293i \(-0.916181\pi\)
0.0999998 + 0.994987i \(0.468116\pi\)
\(420\) −4.23143 + 6.20840i −0.206473 + 0.302939i
\(421\) −35.6501 + 3.66244i −1.73748 + 0.178496i −0.918526 0.395361i \(-0.870619\pi\)
−0.818955 + 0.573858i \(0.805446\pi\)
\(422\) −36.9490 5.96125i −1.79865 0.290189i
\(423\) −3.62990 + 4.03487i −0.176492 + 0.196182i
\(424\) −5.25425 + 22.7329i −0.255169 + 1.10401i
\(425\) 1.71337 + 1.61227i 0.0831108 + 0.0782065i
\(426\) −1.47182 + 9.71465i −0.0713098 + 0.470676i
\(427\) 5.27772 2.49424i 0.255407 0.120705i
\(428\) 50.2709 43.7909i 2.42994 2.11671i
\(429\) −6.47108 46.7432i −0.312427 2.25678i
\(430\) −8.03431 + 28.1170i −0.387449 + 1.35592i
\(431\) 0.220099 + 1.11349i 0.0106018 + 0.0536349i 0.985953 0.167024i \(-0.0534156\pi\)
−0.975351 + 0.220659i \(0.929179\pi\)
\(432\) −9.86129 + 3.19715i −0.474451 + 0.153823i
\(433\) 7.32507 0.0937419i 0.352020 0.00450495i 0.163414 0.986558i \(-0.447750\pi\)
0.188607 + 0.982053i \(0.439603\pi\)
\(434\) 0.881341 5.57611i 0.0423057 0.267662i
\(435\) 2.12687 16.1220i 0.101976 0.772989i
\(436\) 2.18716 + 40.1757i 0.104746 + 1.92407i
\(437\) −14.5663 + 23.9158i −0.696801 + 1.14405i
\(438\) 56.0634 6.48555i 2.67881 0.309891i
\(439\) 2.56163 0.996818i 0.122260 0.0475756i −0.300734 0.953708i \(-0.597232\pi\)
0.422994 + 0.906132i \(0.360979\pi\)
\(440\) −1.45372 + 30.2704i −0.0693036 + 1.44309i
\(441\) 0.871297 2.77803i 0.0414903 0.132287i
\(442\) 14.3498 14.9593i 0.682548 0.711542i
\(443\) 10.6184 + 27.0311i 0.504497 + 1.28429i 0.926022 + 0.377469i \(0.123206\pi\)
−0.421526 + 0.906816i \(0.638505\pi\)
\(444\) 15.4977 + 20.1413i 0.735488 + 0.955866i
\(445\) −12.4874 + 5.32523i −0.591960 + 0.252440i
\(446\) −23.0658 32.9289i −1.09220 1.55923i
\(447\) 4.09134 15.4335i 0.193514 0.729981i
\(448\) −5.82907 5.92307i −0.275398 0.279839i
\(449\) 12.3133 1.90584i 0.581099 0.0899419i 0.144352 0.989526i \(-0.453890\pi\)
0.436747 + 0.899584i \(0.356131\pi\)
\(450\) 1.12510 + 1.56325i 0.0530379 + 0.0736922i
\(451\) −14.8449 2.29767i −0.699017 0.108193i
\(452\) −8.77712 17.2670i −0.412841 0.812173i
\(453\) −11.9203 2.00153i −0.560065 0.0940399i
\(454\) −58.6029 + 12.5610i −2.75037 + 0.589515i
\(455\) 2.55369 8.32838i 0.119719 0.390440i
\(456\) −26.0468 16.4411i −1.21975 0.769926i
\(457\) 12.5574 + 1.04692i 0.587410 + 0.0489729i 0.373097 0.927792i \(-0.378296\pi\)
0.214312 + 0.976765i \(0.431249\pi\)
\(458\) 9.50770 + 5.66644i 0.444266 + 0.264776i
\(459\) 3.12942 + 6.46050i 0.146069 + 0.301551i
\(460\) −15.5686 32.6716i −0.725888 1.52332i
\(461\) 7.27747 18.1834i 0.338946 0.846883i −0.656742 0.754115i \(-0.728066\pi\)
0.995688 0.0927681i \(-0.0295715\pi\)
\(462\) −2.95512 11.7526i −0.137485 0.546781i
\(463\) −25.9981 + 23.2387i −1.20823 + 1.07999i −0.213560 + 0.976930i \(0.568506\pi\)
−0.994675 + 0.103063i \(0.967136\pi\)
\(464\) −10.1553 3.43669i −0.471447 0.159544i
\(465\) −8.18305 4.52872i −0.379480 0.210014i
\(466\) −7.56115 32.7138i −0.350263 1.51544i
\(467\) −20.1940 + 34.6350i −0.934466 + 1.60272i −0.144554 + 0.989497i \(0.546175\pi\)
−0.789913 + 0.613219i \(0.789874\pi\)
\(468\) 8.93574 6.30195i 0.413055 0.291308i
\(469\) −1.16985 3.99705i −0.0540188 0.184567i
\(470\) 29.6050 41.6941i 1.36558 1.92321i
\(471\) 3.66580 + 15.4102i 0.168911 + 0.710066i
\(472\) 39.4850 22.8528i 1.81744 1.05189i
\(473\) −16.3040 25.6474i −0.749657 1.17927i
\(474\) 14.6629 17.8449i 0.673489 0.819645i
\(475\) −2.26223 + 8.75959i −0.103798 + 0.401917i
\(476\) 2.09171 2.71845i 0.0958732 0.124600i
\(477\) 2.61925 + 0.757511i 0.119927 + 0.0346840i
\(478\) −8.77502 + 3.28600i −0.401360 + 0.150298i
\(479\) −16.9136 + 14.9248i −0.772803 + 0.681933i −0.953429 0.301619i \(-0.902473\pi\)
0.180626 + 0.983552i \(0.442188\pi\)
\(480\) −8.40201 + 3.84002i −0.383497 + 0.175272i
\(481\) −24.0793 16.9820i −1.09792 0.774312i
\(482\) −9.67756 + 28.2983i −0.440801 + 1.28895i
\(483\) 4.36718 + 4.79238i 0.198714 + 0.218061i
\(484\) −21.7666 21.2845i −0.989391 0.967479i
\(485\) 1.21432 2.05241i 0.0551395 0.0931950i
\(486\) 2.81540 + 10.6204i 0.127709 + 0.481751i
\(487\) 9.73223 11.5400i 0.441009 0.522927i −0.497833 0.867273i \(-0.665871\pi\)
0.938843 + 0.344346i \(0.111899\pi\)
\(488\) −30.7677 3.16085i −1.39279 0.143085i
\(489\) 26.6606 + 7.15894i 1.20564 + 0.323738i
\(490\) −5.14699 + 26.9440i −0.232517 + 1.21721i
\(491\) −13.1150 39.1665i −0.591871 1.76756i −0.639609 0.768700i \(-0.720904\pi\)
0.0477379 0.998860i \(-0.484799\pi\)
\(492\) 6.26550 + 18.7113i 0.282471 + 0.843568i
\(493\) −1.39298 + 7.29211i −0.0627366 + 0.328420i
\(494\) 76.9849 + 20.6721i 3.46372 + 0.930080i
\(495\) 3.52293 + 0.361921i 0.158344 + 0.0162671i
\(496\) −3.97519 + 4.71358i −0.178491 + 0.211646i
\(497\) −0.483026 1.82209i −0.0216667 0.0817321i
\(498\) −23.8272 + 40.2719i −1.06772 + 1.80463i
\(499\) −5.49439 5.37271i −0.245963 0.240515i 0.565743 0.824581i \(-0.308589\pi\)
−0.811706 + 0.584066i \(0.801461\pi\)
\(500\) −29.6852 32.5754i −1.32756 1.45682i
\(501\) 1.94667 5.69230i 0.0869708 0.254313i
\(502\) 6.39443 + 4.50969i 0.285397 + 0.201277i
\(503\) −3.94386 + 1.80249i −0.175848 + 0.0803689i −0.501657 0.865067i \(-0.667276\pi\)
0.325809 + 0.945436i \(0.394363\pi\)
\(504\) 0.943304 0.832385i 0.0420181 0.0370774i
\(505\) −15.7429 + 5.89527i −0.700548 + 0.262336i
\(506\) 56.0763 + 16.2178i 2.49290 + 0.720968i
\(507\) 31.1678 40.5068i 1.38421 1.79897i
\(508\) −5.48389 + 21.2342i −0.243308 + 0.942115i
\(509\) −9.53777 + 11.6076i −0.422754 + 0.514498i −0.939923 0.341385i \(-0.889104\pi\)
0.517169 + 0.855883i \(0.326986\pi\)
\(510\) −4.73130 7.44270i −0.209505 0.329568i
\(511\) −9.37114 + 5.42376i −0.414555 + 0.239933i
\(512\) 4.76209 + 20.0188i 0.210457 + 0.884716i
\(513\) −15.9816 + 22.5076i −0.705606 + 0.993736i
\(514\) 5.12121 + 17.4977i 0.225887 + 0.771790i
\(515\) −4.27210 + 3.01291i −0.188251 + 0.132765i
\(516\) −20.1080 + 34.4876i −0.885207 + 1.51823i
\(517\) 11.9677 + 51.7790i 0.526339 + 2.27724i
\(518\) −6.62061 3.66402i −0.290893 0.160988i
\(519\) 35.7021 + 12.0821i 1.56715 + 0.530345i
\(520\) −34.4122 + 30.7597i −1.50907 + 1.34890i
\(521\) −7.29580 29.0157i −0.319635 1.27120i −0.892312 0.451419i \(-0.850918\pi\)
0.572678 0.819781i \(-0.305905\pi\)
\(522\) −2.25830 + 5.64255i −0.0988432 + 0.246968i
\(523\) −8.68876 18.2339i −0.379933 0.797312i −0.999919 0.0126992i \(-0.995958\pi\)
0.619986 0.784613i \(-0.287138\pi\)
\(524\) −29.5103 60.9223i −1.28917 2.66141i
\(525\) 1.79942 + 1.07243i 0.0785331 + 0.0468045i
\(526\) −57.6268 4.80440i −2.51265 0.209482i
\(527\) 3.61064 + 2.27909i 0.157282 + 0.0992786i
\(528\) −3.88024 + 12.6547i −0.168866 + 0.550724i
\(529\) −8.04936 + 1.72530i −0.349972 + 0.0750132i
\(530\) −25.3348 4.25393i −1.10047 0.184779i
\(531\) −2.41580 4.75255i −0.104837 0.206243i
\(532\) 13.0347 + 2.01751i 0.565128 + 0.0874700i
\(533\) −13.3645 18.5690i −0.578880 0.804312i
\(534\) −28.4246 + 4.39954i −1.23005 + 0.190387i
\(535\) 23.0677 + 23.4396i 0.997303 + 1.01338i
\(536\) −5.65447 + 21.3301i −0.244236 + 0.921319i
\(537\) 9.33184 + 13.3222i 0.402698 + 0.574896i
\(538\) −42.7830 + 18.2447i −1.84450 + 0.786585i
\(539\) −17.3851 22.5942i −0.748828 0.973203i
\(540\) −13.0443 33.2066i −0.561338 1.42899i
\(541\) −9.40533 + 9.80486i −0.404367 + 0.421544i −0.892375 0.451295i \(-0.850962\pi\)
0.488008 + 0.872839i \(0.337724\pi\)
\(542\) −21.5030 + 68.5599i −0.923635 + 2.94490i
\(543\) −0.284744 + 5.92914i −0.0122195 + 0.254444i
\(544\) 3.93032 1.52942i 0.168511 0.0655735i
\(545\) −19.7158 + 2.28077i −0.844531 + 0.0976973i
\(546\) 9.60076 15.7631i 0.410875 0.674597i
\(547\) 0.139549 + 2.56338i 0.00596671 + 0.109602i 1.00000 0.000523753i \(0.000166716\pi\)
−0.994033 + 0.109078i \(0.965210\pi\)
\(548\) 5.57025 42.2233i 0.237949 1.80369i
\(549\) −0.564279 + 3.57011i −0.0240828 + 0.152368i
\(550\) 18.8579 0.241332i 0.804103 0.0102904i
\(551\) −27.1566 + 8.80451i −1.15691 + 0.375085i
\(552\) −6.66175 33.7021i −0.283543 1.43446i
\(553\) −1.21743 + 4.26053i −0.0517702 + 0.181176i
\(554\) 5.27759 + 38.1221i 0.224223 + 1.61965i
\(555\) −9.45259 + 8.23413i −0.401240 + 0.349519i
\(556\) −72.1261 + 34.0866i −3.05883 + 1.44559i
\(557\) −0.724442 + 4.78164i −0.0306956 + 0.202605i −0.998861 0.0477048i \(-0.984809\pi\)
0.968166 + 0.250309i \(0.0805323\pi\)
\(558\) 2.54565 + 2.39543i 0.107766 + 0.101407i
\(559\) 10.4233 45.0972i 0.440860 1.90741i
\(560\) −1.63418 + 1.81650i −0.0690568 + 0.0767611i
\(561\) 9.04861 + 1.45988i 0.382033 + 0.0616361i
\(562\) −34.3428 + 3.52813i −1.44866 + 0.148825i
\(563\) 0.555755 0.815410i 0.0234223 0.0343654i −0.814435 0.580255i \(-0.802953\pi\)
0.837857 + 0.545890i \(0.183808\pi\)
\(564\) 53.2215 45.1764i 2.24103 1.90227i
\(565\) 8.23875 4.83900i 0.346607 0.203578i
\(566\) −9.28628 + 6.02917i −0.390331 + 0.253425i
\(567\) 3.35442 + 4.24597i 0.140872 + 0.178314i
\(568\) −2.80554 + 9.58571i −0.117718 + 0.402207i
\(569\) −6.51851 19.0609i −0.273270 0.799074i −0.994343 0.106215i \(-0.966127\pi\)
0.721073 0.692859i \(-0.243649\pi\)
\(570\) 16.3266 29.7250i 0.683846 1.24504i
\(571\) 14.1580 + 22.9141i 0.592493 + 0.958924i 0.998975 + 0.0452653i \(0.0144133\pi\)
−0.406482 + 0.913659i \(0.633245\pi\)
\(572\) −0.342531 107.068i −0.0143219 4.47674i
\(573\) −10.4273 16.1735i −0.435608 0.675658i
\(574\) −3.92948 4.36787i −0.164013 0.182311i
\(575\) −8.82858 + 4.88597i −0.368177 + 0.203759i
\(576\) 5.06321 0.916926i 0.210967 0.0382052i
\(577\) 4.64423 1.02657i 0.193342 0.0427367i −0.118101 0.993002i \(-0.537681\pi\)
0.311443 + 0.950265i \(0.399188\pi\)
\(578\) −17.6722 31.6926i −0.735066 1.31824i
\(579\) 5.33900 + 17.4122i 0.221881 + 0.723625i
\(580\) 9.68249 35.6035i 0.402043 1.47835i
\(581\) 1.11716 8.90743i 0.0463478 0.369542i
\(582\) 3.56706 3.57849i 0.147859 0.148333i
\(583\) 20.7897 16.7509i 0.861021 0.693752i
\(584\) 57.3591 + 1.10115i 2.37354 + 0.0455658i
\(585\) 3.37065 + 4.21085i 0.139359 + 0.174097i
\(586\) 3.94052 58.5655i 0.162781 2.41932i
\(587\) −1.75059 + 10.6340i −0.0722545 + 0.438913i 0.925878 + 0.377823i \(0.123327\pi\)
−0.998132 + 0.0610898i \(0.980542\pi\)
\(588\) −15.8929 + 33.9092i −0.655412 + 1.39839i
\(589\) −0.997407 + 16.3887i −0.0410974 + 0.675286i
\(590\) 27.7561 + 41.8653i 1.14270 + 1.72357i
\(591\) 19.1522 + 4.88089i 0.787816 + 0.200773i
\(592\) 4.11713 + 7.16633i 0.169213 + 0.294534i
\(593\) −12.5431 + 14.6813i −0.515084 + 0.602890i −0.955532 0.294888i \(-0.904718\pi\)
0.440448 + 0.897778i \(0.354820\pi\)
\(594\) 54.0179 + 19.8351i 2.21638 + 0.813843i
\(595\) 1.40116 + 0.948433i 0.0574421 + 0.0388820i
\(596\) 13.8903 33.4584i 0.568969 1.37051i
\(597\) −19.0336 + 10.0614i −0.778993 + 0.411786i
\(598\) 42.3012 + 78.1972i 1.72982 + 3.19772i
\(599\) 5.58910 + 14.5000i 0.228364 + 0.592454i 0.998995 0.0448290i \(-0.0142743\pi\)
−0.770630 + 0.637283i \(0.780058\pi\)
\(600\) −5.21836 9.79582i −0.213039 0.399913i
\(601\) −17.6449 + 16.8179i −0.719752 + 0.686015i −0.958509 0.285064i \(-0.907985\pi\)
0.238757 + 0.971079i \(0.423260\pi\)
\(602\) 1.40373 11.8034i 0.0572116 0.481071i
\(603\) 2.45302 + 0.795300i 0.0998948 + 0.0323871i
\(604\) −26.1942 8.12356i −1.06583 0.330543i
\(605\) 9.82761 11.3550i 0.399549 0.461647i
\(606\) −35.4068 + 3.86653i −1.43830 + 0.157067i
\(607\) 10.1524 + 8.18007i 0.412071 + 0.332019i 0.811087 0.584925i \(-0.198876\pi\)
−0.399016 + 0.916944i \(0.630648\pi\)
\(608\) 12.4309 + 10.4157i 0.504139 + 0.422412i
\(609\) 0.190296 + 6.60737i 0.00771118 + 0.267744i
\(610\) 1.41589 34.0250i 0.0573278 1.37763i
\(611\) −43.4221 + 68.3063i −1.75667 + 2.76338i
\(612\) 0.661464 + 2.01819i 0.0267381 + 0.0815804i
\(613\) 30.0436 + 23.5795i 1.21345 + 0.952365i 0.999699 0.0245227i \(-0.00780660\pi\)
0.213751 + 0.976888i \(0.431432\pi\)
\(614\) 31.2178 + 63.4100i 1.25985 + 2.55902i
\(615\) −9.02510 + 3.64563i −0.363927 + 0.147006i
\(616\) −1.37645 12.2415i −0.0554589 0.493224i
\(617\) −22.7866 + 0.729232i −0.917353 + 0.0293578i −0.487096 0.873349i \(-0.661944\pi\)
−0.430257 + 0.902706i \(0.641577\pi\)
\(618\) −10.3476 + 3.95058i −0.416243 + 0.158916i
\(619\) −11.8497 4.43740i −0.476281 0.178354i 0.101022 0.994884i \(-0.467789\pi\)
−0.577303 + 0.816530i \(0.695895\pi\)
\(620\) −17.0229 12.6700i −0.683657 0.508838i
\(621\) −30.4837 + 4.31956i −1.22327 + 0.173338i
\(622\) −14.6701 53.9435i −0.588218 2.16294i
\(623\) 4.66636 2.94547i 0.186954 0.118008i
\(624\) −17.8821 + 9.30682i −0.715857 + 0.372571i
\(625\) 8.85862 9.11743i 0.354345 0.364697i
\(626\) −25.7056 + 44.7435i −1.02740 + 1.78831i
\(627\) 11.8308 + 33.2007i 0.472475 + 1.32591i
\(628\) 3.55853 + 35.7638i 0.142001 + 1.42713i
\(629\) 4.52461 3.50455i 0.180408 0.139735i
\(630\) 0.977880 + 0.981014i 0.0389597 + 0.0390845i
\(631\) 20.3901 + 2.22666i 0.811718 + 0.0886421i 0.504957 0.863144i \(-0.331508\pi\)
0.306761 + 0.951787i \(0.400755\pi\)
\(632\) 17.2008 15.9795i 0.684211 0.635631i
\(633\) 8.61188 23.6871i 0.342291 0.941479i
\(634\) −5.03405 34.7257i −0.199927 1.37913i
\(635\) −10.6194 2.06381i −0.421418 0.0818998i
\(636\) −32.0814 14.1689i −1.27211 0.561834i
\(637\) 5.95414 43.0091i 0.235912 1.70408i
\(638\) 32.5667 + 49.8104i 1.28933 + 1.97201i
\(639\) 1.10070 + 0.388261i 0.0435432 + 0.0153594i
\(640\) −35.3237 + 10.7076i −1.39629 + 0.423255i
\(641\) 27.7477 + 12.6817i 1.09597 + 0.500897i 0.879744 0.475447i \(-0.157714\pi\)
0.216224 + 0.976344i \(0.430626\pi\)
\(642\) 35.0965 + 60.1945i 1.38515 + 2.37569i
\(643\) −14.4818 + 13.6273i −0.571107 + 0.537406i −0.915970 0.401247i \(-0.868577\pi\)
0.344863 + 0.938653i \(0.387925\pi\)
\(644\) 8.36287 + 12.1030i 0.329543 + 0.476924i
\(645\) −17.5832 8.86716i −0.692337 0.349144i
\(646\) −8.22228 + 13.1189i −0.323501 + 0.516158i
\(647\) −0.111929 0.0866946i −0.00440037 0.00340832i 0.610148 0.792287i \(-0.291110\pi\)
−0.614549 + 0.788879i \(0.710662\pi\)
\(648\) −3.56794 28.4481i −0.140162 1.11755i
\(649\) −51.6871 7.32411i −2.02890 0.287496i
\(650\) 20.4077 + 20.2128i 0.800457 + 0.792811i
\(651\) 3.57703 + 1.28755i 0.140195 + 0.0504631i
\(652\) 57.7699 + 24.2002i 2.26245 + 0.947753i
\(653\) −3.92817 45.3634i −0.153721 1.77521i −0.529317 0.848424i \(-0.677552\pi\)
0.375596 0.926784i \(-0.377438\pi\)
\(654\) −41.6724 5.63328i −1.62952 0.220279i
\(655\) 29.1120 16.3556i 1.13750 0.639064i
\(656\) 1.20408 + 6.30323i 0.0470113 + 0.246100i
\(657\) 0.492857 6.68606i 0.0192282 0.260848i
\(658\) −9.18092 + 18.6484i −0.357909 + 0.726990i
\(659\) 17.1960 8.26179i 0.669860 0.321833i −0.0671234 0.997745i \(-0.521382\pi\)
0.736983 + 0.675911i \(0.236250\pi\)
\(660\) −44.2819 10.6836i −1.72367 0.415859i
\(661\) −6.33605 + 8.45627i −0.246444 + 0.328911i −0.906422 0.422374i \(-0.861197\pi\)
0.659978 + 0.751285i \(0.270566\pi\)
\(662\) 14.5373 16.5811i 0.565008 0.644442i
\(663\) 8.08184 + 11.3820i 0.313873 + 0.442041i
\(664\) −29.4865 + 37.3235i −1.14430 + 1.44843i
\(665\) −0.602768 + 6.47837i −0.0233744 + 0.251220i
\(666\) 4.18341 2.10968i 0.162104 0.0817486i
\(667\) −27.9571 15.2393i −1.08250 0.590070i
\(668\) 6.10722 12.2073i 0.236295 0.472315i
\(669\) 24.6957 11.0964i 0.954792 0.429011i
\(670\) −23.8199 4.78760i −0.920242 0.184961i
\(671\) 25.4623 + 24.5817i 0.982963 + 0.948966i
\(672\) 3.12307 2.08496i 0.120475 0.0804291i
\(673\) −3.90796 + 11.9235i −0.150641 + 0.459618i −0.997376 0.0723960i \(-0.976935\pi\)
0.846735 + 0.532014i \(0.178565\pi\)
\(674\) 5.81250 + 7.07389i 0.223889 + 0.272476i
\(675\) −9.02023 + 4.19255i −0.347189 + 0.161371i
\(676\) 82.3922 81.6052i 3.16893 3.13866i
\(677\) −18.4978 + 13.7677i −0.710926 + 0.529134i −0.890710 0.454572i \(-0.849792\pi\)
0.179784 + 0.983706i \(0.442460\pi\)
\(678\) 19.4472 5.62430i 0.746864 0.216000i
\(679\) −0.354421 + 0.902241i −0.0136014 + 0.0346248i
\(680\) −3.75261 8.14174i −0.143906 0.312222i
\(681\) −0.903775 40.3507i −0.0346327 1.54624i
\(682\) 33.5124 6.95909i 1.28325 0.266477i
\(683\) 1.94825 2.05720i 0.0745477 0.0787164i −0.687730 0.725967i \(-0.741393\pi\)
0.762278 + 0.647250i \(0.224081\pi\)
\(684\) −5.57771 + 5.96561i −0.213269 + 0.228101i
\(685\) 20.9564 + 1.47739i 0.800702 + 0.0564481i
\(686\) 0.668185 23.2004i 0.0255114 0.885796i
\(687\) −4.94949 + 5.57299i −0.188835 + 0.212623i
\(688\) −7.98291 + 10.2386i −0.304345 + 0.390345i
\(689\) 40.3929 + 4.67275i 1.53885 + 0.178017i
\(690\) 36.5929 9.57537i 1.39307 0.364528i
\(691\) −0.371600 1.18480i −0.0141363 0.0450720i 0.946836 0.321717i \(-0.104260\pi\)
−0.960972 + 0.276645i \(0.910777\pi\)
\(692\) 76.6032 + 38.0180i 2.91202 + 1.44523i
\(693\) −1.43717 + 0.0828511i −0.0545934 + 0.00314725i
\(694\) −38.6165 + 42.3763i −1.46586 + 1.60858i
\(695\) −18.9445 34.4913i −0.718605 1.30833i
\(696\) 17.2524 30.4797i 0.653952 1.15533i
\(697\) 4.20921 1.42445i 0.159435 0.0539551i
\(698\) 20.6598 + 3.74140i 0.781986 + 0.141614i
\(699\) 22.5943 0.867826i 0.854596 0.0328242i
\(700\) 3.71999 + 2.95826i 0.140602 + 0.111812i
\(701\) 3.67198 + 2.22041i 0.138689 + 0.0838637i 0.585086 0.810971i \(-0.301061\pi\)
−0.446397 + 0.894835i \(0.647293\pi\)
\(702\) 36.1756 + 79.8272i 1.36536 + 3.01288i
\(703\) 20.1882 + 8.76228i 0.761411 + 0.330476i
\(704\) 21.0904 45.7582i 0.794874 1.72458i
\(705\) 23.8383 + 24.8509i 0.897802 + 0.935940i
\(706\) 35.4271 17.5824i 1.33332 0.661722i
\(707\) 5.93585 3.38500i 0.223241 0.127306i
\(708\) 22.6043 + 64.7417i 0.849522 + 2.43314i
\(709\) −24.4267 + 4.74716i −0.917362 + 0.178283i −0.627348 0.778739i \(-0.715860\pi\)
−0.290014 + 0.957022i \(0.593660\pi\)
\(710\) −10.7223 2.44214i −0.402401 0.0916519i
\(711\) −1.75533 2.10862i −0.0658302 0.0790793i
\(712\) −29.2329 + 0.561196i −1.09555 + 0.0210317i
\(713\) −14.0367 + 11.7612i −0.525679 + 0.440461i
\(714\) 2.38052 + 2.68040i 0.0890886 + 0.100311i
\(715\) 52.7068 3.37698i 1.97112 0.126292i
\(716\) 16.9332 + 32.7911i 0.632822 + 1.22546i
\(717\) −1.06479 6.21955i −0.0397653 0.232273i
\(718\) −3.90826 24.7270i −0.145855 0.922802i
\(719\) 8.38046 0.214531i 0.312538 0.00800067i 0.130993 0.991383i \(-0.458183\pi\)
0.181545 + 0.983383i \(0.441890\pi\)
\(720\) −0.359532 1.46957i −0.0133990 0.0547676i
\(721\) 1.51931 1.48566i 0.0565819 0.0553288i
\(722\) −14.4576 0.833462i −0.538054 0.0310183i
\(723\) −17.4955 9.97701i −0.650663 0.371049i
\(724\) −2.44240 + 13.2450i −0.0907711 + 0.492247i
\(725\) −10.0722 2.09156i −0.374071 0.0776786i
\(726\) 26.1187 18.1712i 0.969356 0.674395i
\(727\) −18.1113 + 11.2707i −0.671712 + 0.418008i −0.821110 0.570769i \(-0.806645\pi\)
0.149399 + 0.988777i \(0.452266\pi\)
\(728\) 11.8179 14.5717i 0.438002 0.540062i
\(729\) −29.6698 + 2.09167i −1.09888 + 0.0774692i
\(730\) 2.62626 + 63.1111i 0.0972023 + 2.33585i
\(731\) 7.78099 + 4.50343i 0.287790 + 0.166565i
\(732\) 13.3443 44.5346i 0.493219 1.64605i
\(733\) 23.5394 42.2146i 0.869449 1.55923i 0.0410062 0.999159i \(-0.486944\pi\)
0.828442 0.560074i \(-0.189227\pi\)
\(734\) −40.0371 8.58157i −1.47780 0.316752i
\(735\) −17.1721 6.80908i −0.633402 0.251157i
\(736\) 1.09880 + 18.0547i 0.0405023 + 0.665507i
\(737\) 20.1589 15.2055i 0.742564 0.560100i
\(738\) 3.60508 0.487335i 0.132705 0.0179390i
\(739\) −0.153958 0.686089i −0.00566345 0.0252382i 0.972822 0.231556i \(-0.0743816\pi\)
−0.978485 + 0.206318i \(0.933852\pi\)
\(740\) −23.7567 + 15.6412i −0.873314 + 0.574981i
\(741\) −23.4013 + 48.3106i −0.859668 + 1.77473i
\(742\) 10.4421 + 0.0668134i 0.383343 + 0.00245280i
\(743\) 21.1624 + 22.6341i 0.776373 + 0.830366i 0.989177 0.146729i \(-0.0468744\pi\)
−0.212803 + 0.977095i \(0.568259\pi\)
\(744\) −12.6883 15.6448i −0.465174 0.573566i
\(745\) 16.8901 + 5.83657i 0.618807 + 0.213835i
\(746\) −12.4840 4.76620i −0.457071 0.174503i
\(747\) 4.16786 + 3.67778i 0.152494 + 0.134563i
\(748\) 19.9019 + 6.03283i 0.727685 + 0.220582i
\(749\) −10.7745 7.91272i −0.393692 0.289125i
\(750\) 39.2626 24.0861i 1.43367 0.879498i
\(751\) 0.0498068 15.5686i 0.00181748 0.568105i −0.957895 0.287120i \(-0.907302\pi\)
0.959712 0.280985i \(-0.0906612\pi\)
\(752\) 19.1204 12.2408i 0.697249 0.446378i
\(753\) −3.79096 + 3.65985i −0.138150 + 0.133372i
\(754\) −19.2794 + 88.5639i −0.702114 + 3.22531i
\(755\) 3.21488 13.1406i 0.117001 0.478237i
\(756\) 7.38455 + 12.4811i 0.268573 + 0.453934i
\(757\) 4.95040 5.03022i 0.179925 0.182827i −0.616890 0.787049i \(-0.711608\pi\)
0.796816 + 0.604222i \(0.206516\pi\)
\(758\) 36.9396 51.3248i 1.34171 1.86420i
\(759\) −17.8130 + 35.0431i −0.646572 + 1.27199i
\(760\) 20.4945 27.7204i 0.743414 1.00553i
\(761\) 16.5977 24.6904i 0.601667 0.895025i −0.398083 0.917349i \(-0.630325\pi\)
0.999751 + 0.0223242i \(0.00710661\pi\)
\(762\) −20.7232 9.79372i −0.750721 0.354789i
\(763\) 7.76417 2.19173i 0.281082 0.0793461i
\(764\) −18.5297 39.5352i −0.670382 1.43033i
\(765\) −0.973873 + 0.386160i −0.0352104 + 0.0139617i
\(766\) 78.8865 13.2458i 2.85029 0.478589i
\(767\) −47.2665 63.9316i −1.70669 2.30844i
\(768\) −41.6302 + 1.86580i −1.50220 + 0.0673263i
\(769\) −17.7566 10.4293i −0.640319 0.376089i 0.150087 0.988673i \(-0.452045\pi\)
−0.790406 + 0.612584i \(0.790130\pi\)
\(770\) 13.3613 2.33148i 0.481508 0.0840207i