Properties

Label 983.2.c.a.2.17
Level $983$
Weight $2$
Character 983.2
Analytic conductor $7.849$
Analytic rank $0$
Dimension $39690$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

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 2.17
Character \(\chi\) \(=\) 983.2
Dual form 983.2.c.a.492.17

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.585179 + 1.74757i) q^{2} +(-2.62769 - 1.47627i) q^{3} +(-1.11487 - 0.840921i) q^{4} +(-1.01017 + 1.52367i) q^{5} +(4.11756 - 3.72820i) q^{6} +(0.654151 - 1.44349i) q^{7} +(-0.917117 + 0.629381i) q^{8} +(3.16483 + 5.19619i) q^{9} +O(q^{10})\) \(q+(-0.585179 + 1.74757i) q^{2} +(-2.62769 - 1.47627i) q^{3} +(-1.11487 - 0.840921i) q^{4} +(-1.01017 + 1.52367i) q^{5} +(4.11756 - 3.72820i) q^{6} +(0.654151 - 1.44349i) q^{7} +(-0.917117 + 0.629381i) q^{8} +(3.16483 + 5.19619i) q^{9} +(-2.07160 - 2.65697i) q^{10} +(-1.88925 - 0.121046i) q^{11} +(1.68810 + 3.85553i) q^{12} +(-0.652387 - 0.753780i) q^{13} +(2.13980 + 1.98788i) q^{14} +(4.90377 - 2.51244i) q^{15} +(-1.33056 - 4.65645i) q^{16} +(3.34411 - 1.47694i) q^{17} +(-10.9327 + 2.49007i) q^{18} +(-3.70713 - 2.83360i) q^{19} +(2.40750 - 0.849218i) q^{20} +(-3.84988 + 2.82732i) q^{21} +(1.31709 - 3.23078i) q^{22} +(-0.691509 - 6.52571i) q^{23} +(3.33903 - 0.299903i) q^{24} +(0.645490 + 1.52716i) q^{25} +(1.69905 - 0.698998i) q^{26} +(-0.327050 - 9.28974i) q^{27} +(-1.94315 + 1.05921i) q^{28} +(-5.40080 + 7.81618i) q^{29} +(1.52110 + 10.0399i) q^{30} +(-4.93602 - 7.34270i) q^{31} +(6.69374 + 0.300003i) q^{32} +(4.78567 + 3.10712i) q^{33} +(0.624167 + 6.70835i) q^{34} +(1.53859 + 2.45488i) q^{35} +(0.841224 - 8.45444i) q^{36} +(2.92290 - 0.725010i) q^{37} +(7.12127 - 4.82032i) q^{38} +(0.601484 + 2.94380i) q^{39} +(-0.0325251 - 2.03317i) q^{40} +(9.12709 + 0.819771i) q^{41} +(-2.68809 - 8.38245i) q^{42} +(4.89401 + 6.70890i) q^{43} +(2.00448 + 1.72366i) q^{44} +(-11.1143 - 0.426889i) q^{45} +(11.8088 + 2.61025i) q^{46} +(3.40076 + 11.3496i) q^{47} +(-3.37790 + 14.2000i) q^{48} +(2.95898 + 3.37498i) q^{49} +(-3.04656 + 0.234377i) q^{50} +(-10.9676 - 1.05587i) q^{51} +(0.0934555 + 1.38897i) q^{52} +(5.35954 - 4.91550i) q^{53} +(16.4259 + 4.86462i) q^{54} +(2.09290 - 2.75632i) q^{55} +(0.308570 + 1.73555i) q^{56} +(5.55800 + 12.9186i) q^{57} +(-10.4989 - 14.0122i) q^{58} +(11.0707 + 0.851687i) q^{59} +(-7.57982 - 1.32264i) q^{60} +(-2.64022 - 2.24112i) q^{61} +(15.7204 - 4.32927i) q^{62} +(9.57090 - 1.16929i) q^{63} +(-0.957757 + 2.48474i) q^{64} +(1.80754 - 0.232576i) q^{65} +(-8.23040 + 6.54509i) q^{66} +(-0.340222 + 0.292559i) q^{67} +(-4.97023 - 1.16553i) q^{68} +(-7.81666 + 18.1684i) q^{69} +(-5.19044 + 1.25226i) q^{70} +(-5.22713 + 4.26710i) q^{71} +(-6.17290 - 2.77363i) q^{72} +(1.94844 + 1.39289i) q^{73} +(-0.443412 + 5.53225i) q^{74} +(0.558365 - 4.96583i) q^{75} +(1.75012 + 6.27650i) q^{76} +(-1.41058 + 2.64793i) q^{77} +(-5.49648 - 0.671512i) q^{78} +(-15.6539 + 2.32044i) q^{79} +(8.43900 + 2.67648i) q^{80} +(-4.48008 + 8.67568i) q^{81} +(-6.77359 + 15.4706i) q^{82} +(-6.99926 + 2.17067i) q^{83} +(6.66967 + 0.0853545i) q^{84} +(-1.12774 + 6.58729i) q^{85} +(-14.5882 + 4.62673i) q^{86} +(25.7304 - 12.5654i) q^{87} +(1.80885 - 1.07805i) q^{88} +(13.2172 + 8.70207i) q^{89} +(7.24988 - 19.1733i) q^{90} +(-1.51483 + 0.448625i) q^{91} +(-4.71667 + 7.85681i) q^{92} +(2.13050 + 26.5812i) q^{93} +(-21.8242 - 0.698435i) q^{94} +(8.06232 - 2.78602i) q^{95} +(-17.1462 - 10.6701i) q^{96} +(12.9146 - 0.661636i) q^{97} +(-7.62956 + 3.19607i) q^{98} +(-5.35017 - 10.2000i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.585179 + 1.74757i −0.413784 + 1.23572i 0.512431 + 0.858728i \(0.328745\pi\)
−0.926216 + 0.376994i \(0.876958\pi\)
\(3\) −2.62769 1.47627i −1.51710 0.852326i −0.517102 0.855924i \(-0.672989\pi\)
−0.999994 + 0.00359742i \(0.998855\pi\)
\(4\) −1.11487 0.840921i −0.557434 0.420461i
\(5\) −1.01017 + 1.52367i −0.451763 + 0.681407i −0.986528 0.163594i \(-0.947691\pi\)
0.534765 + 0.845001i \(0.320400\pi\)
\(6\) 4.11756 3.72820i 1.68099 1.52203i
\(7\) 0.654151 1.44349i 0.247246 0.545586i −0.745403 0.666614i \(-0.767743\pi\)
0.992649 + 0.121027i \(0.0386189\pi\)
\(8\) −0.917117 + 0.629381i −0.324250 + 0.222520i
\(9\) 3.16483 + 5.19619i 1.05494 + 1.73206i
\(10\) −2.07160 2.65697i −0.655097 0.840208i
\(11\) −1.88925 0.121046i −0.569631 0.0364968i −0.223535 0.974696i \(-0.571760\pi\)
−0.346096 + 0.938199i \(0.612493\pi\)
\(12\) 1.68810 + 3.85553i 0.487311 + 1.11299i
\(13\) −0.652387 0.753780i −0.180940 0.209061i 0.658400 0.752668i \(-0.271233\pi\)
−0.839340 + 0.543607i \(0.817058\pi\)
\(14\) 2.13980 + 1.98788i 0.571887 + 0.531282i
\(15\) 4.90377 2.51244i 1.26615 0.648710i
\(16\) −1.33056 4.65645i −0.332640 1.16411i
\(17\) 3.34411 1.47694i 0.811065 0.358211i 0.0433958 0.999058i \(-0.486182\pi\)
0.767669 + 0.640847i \(0.221417\pi\)
\(18\) −10.9327 + 2.49007i −2.57687 + 0.586914i
\(19\) −3.70713 2.83360i −0.850474 0.650073i 0.0877348 0.996144i \(-0.472037\pi\)
−0.938209 + 0.346070i \(0.887516\pi\)
\(20\) 2.40750 0.849218i 0.538333 0.189891i
\(21\) −3.84988 + 2.82732i −0.840113 + 0.616973i
\(22\) 1.31709 3.23078i 0.280804 0.688804i
\(23\) −0.691509 6.52571i −0.144190 1.36070i −0.797365 0.603498i \(-0.793773\pi\)
0.653175 0.757207i \(-0.273437\pi\)
\(24\) 3.33903 0.299903i 0.681577 0.0612175i
\(25\) 0.645490 + 1.52716i 0.129098 + 0.305433i
\(26\) 1.69905 0.698998i 0.333211 0.137085i
\(27\) −0.327050 9.28974i −0.0629408 1.78781i
\(28\) −1.94315 + 1.05921i −0.367221 + 0.200171i
\(29\) −5.40080 + 7.81618i −1.00290 + 1.45143i −0.113919 + 0.993490i \(0.536340\pi\)
−0.888984 + 0.457938i \(0.848588\pi\)
\(30\) 1.52110 + 10.0399i 0.277713 + 1.83303i
\(31\) −4.93602 7.34270i −0.886536 1.31879i −0.947204 0.320630i \(-0.896105\pi\)
0.0606686 0.998158i \(-0.480677\pi\)
\(32\) 6.69374 + 0.300003i 1.18330 + 0.0530336i
\(33\) 4.78567 + 3.10712i 0.833078 + 0.540881i
\(34\) 0.624167 + 6.70835i 0.107044 + 1.15047i
\(35\) 1.53859 + 2.45488i 0.260070 + 0.414950i
\(36\) 0.841224 8.45444i 0.140204 1.40907i
\(37\) 2.92290 0.725010i 0.480522 0.119191i 0.00700484 0.999975i \(-0.497770\pi\)
0.473517 + 0.880784i \(0.342984\pi\)
\(38\) 7.12127 4.82032i 1.15522 0.781959i
\(39\) 0.601484 + 2.94380i 0.0963145 + 0.471385i
\(40\) −0.0325251 2.03317i −0.00514267 0.321472i
\(41\) 9.12709 + 0.819771i 1.42541 + 0.128027i 0.775195 0.631722i \(-0.217652\pi\)
0.650217 + 0.759749i \(0.274678\pi\)
\(42\) −2.68809 8.38245i −0.414781 1.29344i
\(43\) 4.89401 + 6.70890i 0.746329 + 1.02310i 0.998464 + 0.0554058i \(0.0176453\pi\)
−0.252135 + 0.967692i \(0.581133\pi\)
\(44\) 2.00448 + 1.72366i 0.302186 + 0.259852i
\(45\) −11.1143 0.426889i −1.65682 0.0636369i
\(46\) 11.8088 + 2.61025i 1.74112 + 0.384860i
\(47\) 3.40076 + 11.3496i 0.496052 + 1.65550i 0.730148 + 0.683289i \(0.239451\pi\)
−0.234096 + 0.972214i \(0.575213\pi\)
\(48\) −3.37790 + 14.2000i −0.487557 + 2.04959i
\(49\) 2.95898 + 3.37498i 0.422712 + 0.482140i
\(50\) −3.04656 + 0.234377i −0.430849 + 0.0331459i
\(51\) −10.9676 1.05587i −1.53578 0.147851i
\(52\) 0.0934555 + 1.38897i 0.0129600 + 0.192616i
\(53\) 5.35954 4.91550i 0.736190 0.675196i −0.217475 0.976066i \(-0.569782\pi\)
0.953665 + 0.300870i \(0.0972771\pi\)
\(54\) 16.4259 + 4.86462i 2.23528 + 0.661991i
\(55\) 2.09290 2.75632i 0.282207 0.371663i
\(56\) 0.308570 + 1.73555i 0.0412344 + 0.231923i
\(57\) 5.55800 + 12.9186i 0.736176 + 1.71110i
\(58\) −10.4989 14.0122i −1.37858 1.83989i
\(59\) 11.0707 + 0.851687i 1.44128 + 0.110880i 0.773652 0.633611i \(-0.218428\pi\)
0.667633 + 0.744491i \(0.267308\pi\)
\(60\) −7.57982 1.32264i −0.978551 0.170752i
\(61\) −2.64022 2.24112i −0.338046 0.286946i 0.462006 0.886877i \(-0.347130\pi\)
−0.800052 + 0.599931i \(0.795195\pi\)
\(62\) 15.7204 4.32927i 1.99649 0.549818i
\(63\) 9.57090 1.16929i 1.20582 0.147316i
\(64\) −0.957757 + 2.48474i −0.119720 + 0.310592i
\(65\) 1.80754 0.232576i 0.224197 0.0288475i
\(66\) −8.23040 + 6.54509i −1.01309 + 0.805644i
\(67\) −0.340222 + 0.292559i −0.0415647 + 0.0357418i −0.672536 0.740064i \(-0.734795\pi\)
0.630971 + 0.775806i \(0.282657\pi\)
\(68\) −4.97023 1.16553i −0.602729 0.141342i
\(69\) −7.81666 + 18.1684i −0.941015 + 2.18722i
\(70\) −5.19044 + 1.25226i −0.620376 + 0.149674i
\(71\) −5.22713 + 4.26710i −0.620346 + 0.506412i −0.889650 0.456643i \(-0.849052\pi\)
0.269304 + 0.963055i \(0.413206\pi\)
\(72\) −6.17290 2.77363i −0.727483 0.326875i
\(73\) 1.94844 + 1.39289i 0.228047 + 0.163026i 0.689839 0.723963i \(-0.257681\pi\)
−0.461792 + 0.886988i \(0.652793\pi\)
\(74\) −0.443412 + 5.53225i −0.0515456 + 0.643111i
\(75\) 0.558365 4.96583i 0.0644745 0.573405i
\(76\) 1.75012 + 6.27650i 0.200753 + 0.719964i
\(77\) −1.41058 + 2.64793i −0.160751 + 0.301759i
\(78\) −5.49648 0.671512i −0.622354 0.0760338i
\(79\) −15.6539 + 2.32044i −1.76120 + 0.261070i −0.947396 0.320064i \(-0.896296\pi\)
−0.813808 + 0.581134i \(0.802609\pi\)
\(80\) 8.43900 + 2.67648i 0.943509 + 0.299240i
\(81\) −4.48008 + 8.67568i −0.497787 + 0.963965i
\(82\) −6.77359 + 15.4706i −0.748018 + 1.70844i
\(83\) −6.99926 + 2.17067i −0.768268 + 0.238262i −0.655332 0.755341i \(-0.727471\pi\)
−0.112936 + 0.993602i \(0.536025\pi\)
\(84\) 6.66967 + 0.0853545i 0.727720 + 0.00931294i
\(85\) −1.12774 + 6.58729i −0.122321 + 0.714491i
\(86\) −14.5882 + 4.62673i −1.57308 + 0.498913i
\(87\) 25.7304 12.5654i 2.75859 1.34715i
\(88\) 1.80885 1.07805i 0.192824 0.114920i
\(89\) 13.2172 + 8.70207i 1.40102 + 0.922418i 0.999980 + 0.00635792i \(0.00202380\pi\)
0.401042 + 0.916060i \(0.368648\pi\)
\(90\) 7.24988 19.1733i 0.764205 2.02104i
\(91\) −1.51483 + 0.448625i −0.158797 + 0.0470287i
\(92\) −4.71667 + 7.85681i −0.491747 + 0.819129i
\(93\) 2.13050 + 26.5812i 0.220922 + 2.75635i
\(94\) −21.8242 0.698435i −2.25100 0.0720380i
\(95\) 8.06232 2.78602i 0.827177 0.285840i
\(96\) −17.1462 10.6701i −1.74997 1.08901i
\(97\) 12.9146 0.661636i 1.31128 0.0671790i 0.617045 0.786928i \(-0.288330\pi\)
0.694235 + 0.719749i \(0.255743\pi\)
\(98\) −7.62956 + 3.19607i −0.770702 + 0.322852i
\(99\) −5.35017 10.2000i −0.537713 1.02514i
\(100\) 0.564589 2.24539i 0.0564589 0.224539i
\(101\) −2.43526 1.76456i −0.242317 0.175581i 0.458986 0.888443i \(-0.348213\pi\)
−0.701303 + 0.712863i \(0.747398\pi\)
\(102\) 8.26324 18.5489i 0.818182 1.83661i
\(103\) 10.8033 + 4.20394i 1.06448 + 0.414227i 0.829925 0.557875i \(-0.188383\pi\)
0.234558 + 0.972102i \(0.424636\pi\)
\(104\) 1.07273 + 0.280704i 0.105190 + 0.0275253i
\(105\) −0.418872 8.72204i −0.0408777 0.851184i
\(106\) 5.45391 + 12.2426i 0.529730 + 1.18911i
\(107\) 0.749400 3.55172i 0.0724472 0.343357i −0.927054 0.374927i \(-0.877668\pi\)
0.999502 + 0.0315698i \(0.0100506\pi\)
\(108\) −7.44732 + 10.6319i −0.716619 + 1.02305i
\(109\) −3.83536 4.54778i −0.367361 0.435598i 0.549079 0.835771i \(-0.314979\pi\)
−0.916440 + 0.400173i \(0.868950\pi\)
\(110\) 3.59216 + 5.27045i 0.342499 + 0.502518i
\(111\) −8.75079 2.40990i −0.830588 0.228738i
\(112\) −7.59191 1.12538i −0.717368 0.106338i
\(113\) 13.4056 + 6.54661i 1.26109 + 0.615853i 0.943185 0.332268i \(-0.107814\pi\)
0.317908 + 0.948122i \(0.397020\pi\)
\(114\) −25.8286 + 2.15335i −2.41907 + 0.201680i
\(115\) 10.6416 + 5.53846i 0.992333 + 0.516464i
\(116\) 12.5940 4.17236i 1.16932 0.387394i
\(117\) 1.85209 5.77551i 0.171226 0.533946i
\(118\) −7.96674 + 18.8485i −0.733398 + 1.73515i
\(119\) 0.0556032 5.79331i 0.00509714 0.531072i
\(120\) −2.91604 + 5.39054i −0.266197 + 0.492087i
\(121\) −7.35543 0.946425i −0.668676 0.0860387i
\(122\) 5.46153 3.30253i 0.494464 0.298997i
\(123\) −22.7729 15.6282i −2.05337 1.40914i
\(124\) −0.671620 + 12.3370i −0.0603133 + 1.10789i
\(125\) −11.9627 2.24553i −1.06997 0.200846i
\(126\) −3.55727 + 17.4101i −0.316907 + 1.55102i
\(127\) 1.98596 + 4.78370i 0.176225 + 0.424485i 0.986968 0.160918i \(-0.0514455\pi\)
−0.810742 + 0.585403i \(0.800936\pi\)
\(128\) 6.54487 + 5.41297i 0.578490 + 0.478444i
\(129\) −2.95575 24.8538i −0.260239 2.18825i
\(130\) −0.651289 + 3.29490i −0.0571218 + 0.288982i
\(131\) 1.90374 + 0.975382i 0.166331 + 0.0852195i 0.537155 0.843484i \(-0.319499\pi\)
−0.370824 + 0.928703i \(0.620925\pi\)
\(132\) −2.72254 7.48840i −0.236967 0.651782i
\(133\) −6.51529 + 3.49758i −0.564947 + 0.303279i
\(134\) −0.312178 0.765763i −0.0269681 0.0661519i
\(135\) 14.4849 + 8.88592i 1.24666 + 0.764778i
\(136\) −2.13737 + 3.45925i −0.183278 + 0.296628i
\(137\) 0.978387 + 1.72851i 0.0835893 + 0.147676i 0.908916 0.416979i \(-0.136911\pi\)
−0.825327 + 0.564656i \(0.809009\pi\)
\(138\) −27.1765 24.2920i −2.31341 2.06787i
\(139\) 2.65523 5.06215i 0.225214 0.429366i −0.746547 0.665332i \(-0.768290\pi\)
0.971761 + 0.235966i \(0.0758255\pi\)
\(140\) 0.349032 4.03070i 0.0294986 0.340657i
\(141\) 7.81889 34.8435i 0.658469 2.93435i
\(142\) −4.39828 11.6318i −0.369095 0.976121i
\(143\) 1.14128 + 1.50305i 0.0954387 + 0.125691i
\(144\) 19.9848 21.6507i 1.66540 1.80423i
\(145\) −6.45355 16.1247i −0.535938 1.33909i
\(146\) −3.57437 + 2.58995i −0.295817 + 0.214346i
\(147\) −2.79289 13.2367i −0.230354 1.09174i
\(148\) −3.86833 1.64964i −0.317975 0.135600i
\(149\) −1.61145 6.23970i −0.132015 0.511176i −0.999896 0.0144045i \(-0.995415\pi\)
0.867881 0.496772i \(-0.165481\pi\)
\(150\) 8.35141 + 3.88169i 0.681890 + 0.316938i
\(151\) 16.2235 5.83964i 1.32025 0.475223i 0.418787 0.908084i \(-0.362455\pi\)
0.901460 + 0.432862i \(0.142496\pi\)
\(152\) 5.18329 + 0.265548i 0.420420 + 0.0215388i
\(153\) 18.2580 + 12.7023i 1.47607 + 1.02692i
\(154\) −3.80200 4.01461i −0.306374 0.323507i
\(155\) 16.1741 0.103489i 1.29913 0.00831244i
\(156\) 1.80493 3.78775i 0.144510 0.303263i
\(157\) 2.63123 + 2.85056i 0.209995 + 0.227500i 0.830951 0.556346i \(-0.187797\pi\)
−0.620956 + 0.783846i \(0.713255\pi\)
\(158\) 5.10521 28.7143i 0.406149 2.28439i
\(159\) −21.3398 + 5.00425i −1.69236 + 0.396863i
\(160\) −7.21893 + 9.89601i −0.570707 + 0.782348i
\(161\) −9.87212 3.27062i −0.778032 0.257761i
\(162\) −12.5398 12.9061i −0.985216 1.01400i
\(163\) 15.7829 4.02222i 1.23621 0.315045i 0.427912 0.903820i \(-0.359249\pi\)
0.808296 + 0.588776i \(0.200390\pi\)
\(164\) −9.48614 8.58910i −0.740743 0.670696i
\(165\) −9.56858 + 4.15306i −0.744913 + 0.323315i
\(166\) 0.302417 13.5020i 0.0234721 1.04795i
\(167\) −0.408926 2.21758i −0.0316436 0.171602i 0.963848 0.266453i \(-0.0858519\pi\)
−0.995491 + 0.0948519i \(0.969762\pi\)
\(168\) 1.75133 5.01603i 0.135118 0.386995i
\(169\) 1.72249 11.8820i 0.132499 0.914000i
\(170\) −10.8518 5.82556i −0.832298 0.446800i
\(171\) 2.99153 28.2308i 0.228768 2.15886i
\(172\) 0.185488 11.5950i 0.0141434 0.884112i
\(173\) 9.90190 1.85870i 0.752828 0.141314i 0.205991 0.978554i \(-0.433958\pi\)
0.546837 + 0.837239i \(0.315832\pi\)
\(174\) 6.90210 + 52.3189i 0.523247 + 3.96628i
\(175\) 2.62669 + 0.0672406i 0.198559 + 0.00508291i
\(176\) 1.95012 + 8.95828i 0.146996 + 0.675256i
\(177\) −27.8331 18.5814i −2.09206 1.39666i
\(178\) −22.9420 + 18.0058i −1.71957 + 1.34959i
\(179\) 18.3022 + 8.79328i 1.36797 + 0.657241i 0.966031 0.258425i \(-0.0832037\pi\)
0.401940 + 0.915666i \(0.368336\pi\)
\(180\) 12.0320 + 9.82218i 0.896813 + 0.732102i
\(181\) −3.22606 6.44835i −0.239791 0.479302i 0.741720 0.670710i \(-0.234010\pi\)
−0.981511 + 0.191408i \(0.938695\pi\)
\(182\) 0.102441 2.90980i 0.00759344 0.215689i
\(183\) 3.62917 + 9.78665i 0.268276 + 0.723450i
\(184\) 4.74135 + 5.54962i 0.349537 + 0.409123i
\(185\) −1.84796 + 5.18593i −0.135864 + 0.381277i
\(186\) −47.6994 11.8316i −3.49749 0.867534i
\(187\) −6.49664 + 2.38553i −0.475081 + 0.174447i
\(188\) 5.75268 15.5130i 0.419557 1.13140i
\(189\) −13.6235 5.60480i −0.990967 0.407689i
\(190\) 0.150876 + 15.7198i 0.0109457 + 1.14044i
\(191\) −4.66673 2.46689i −0.337673 0.178498i 0.289898 0.957057i \(-0.406378\pi\)
−0.627571 + 0.778559i \(0.715951\pi\)
\(192\) 6.18484 5.11521i 0.446352 0.369158i
\(193\) 1.68474 + 1.60577i 0.121270 + 0.115586i 0.748149 0.663531i \(-0.230943\pi\)
−0.626879 + 0.779117i \(0.715668\pi\)
\(194\) −6.40110 + 22.9564i −0.459572 + 1.64817i
\(195\) −5.09298 2.05728i −0.364716 0.147325i
\(196\) −0.460782 6.25093i −0.0329130 0.446495i
\(197\) −13.1315 + 3.52607i −0.935577 + 0.251222i −0.694672 0.719327i \(-0.744450\pi\)
−0.240905 + 0.970549i \(0.577444\pi\)
\(198\) 20.9561 3.38100i 1.48928 0.240277i
\(199\) 0.999348 1.55005i 0.0708419 0.109880i −0.803248 0.595645i \(-0.796897\pi\)
0.874090 + 0.485764i \(0.161459\pi\)
\(200\) −1.55316 0.994329i −0.109825 0.0703097i
\(201\) 1.32589 0.266494i 0.0935214 0.0187970i
\(202\) 4.50877 3.22321i 0.317236 0.226784i
\(203\) 7.74960 + 12.9089i 0.543915 + 0.906030i
\(204\) 11.3396 + 10.4001i 0.793928 + 0.728151i
\(205\) −10.4690 + 13.0786i −0.731186 + 0.913447i
\(206\) −13.6686 + 16.4195i −0.952335 + 1.14400i
\(207\) 31.7203 24.2459i 2.20471 1.68521i
\(208\) −2.64190 + 4.04076i −0.183183 + 0.280176i
\(209\) 6.66071 + 5.80213i 0.460731 + 0.401342i
\(210\) 15.4875 + 4.37195i 1.06874 + 0.301693i
\(211\) 2.25917 + 13.7234i 0.155527 + 0.944758i 0.944062 + 0.329767i \(0.106970\pi\)
−0.788535 + 0.614990i \(0.789160\pi\)
\(212\) −10.1087 + 0.973179i −0.694270 + 0.0668382i
\(213\) 20.0347 3.49595i 1.37275 0.239538i
\(214\) 5.76835 + 3.38802i 0.394317 + 0.231600i
\(215\) −15.1659 + 0.679715i −1.03431 + 0.0463561i
\(216\) 6.14673 + 8.31394i 0.418232 + 0.565692i
\(217\) −13.8280 + 2.32184i −0.938705 + 0.157617i
\(218\) 10.1920 4.04132i 0.690286 0.273712i
\(219\) −3.06359 6.53650i −0.207019 0.441696i
\(220\) −4.65116 + 1.31297i −0.313581 + 0.0885203i
\(221\) −3.29494 1.55718i −0.221642 0.104747i
\(222\) 9.33226 13.8824i 0.626340 0.931728i
\(223\) 13.5496 18.3269i 0.907347 1.22726i −0.0659768 0.997821i \(-0.521016\pi\)
0.973324 0.229437i \(-0.0736883\pi\)
\(224\) 4.81176 9.46607i 0.321500 0.632478i
\(225\) −5.89257 + 8.18730i −0.392838 + 0.545820i
\(226\) −19.2854 + 19.5964i −1.28284 + 1.30353i
\(227\) 5.09575 + 8.61266i 0.338217 + 0.571643i 0.980906 0.194485i \(-0.0623034\pi\)
−0.642689 + 0.766127i \(0.722181\pi\)
\(228\) 4.66705 19.0763i 0.309083 1.26336i
\(229\) 1.83643 8.43602i 0.121355 0.557468i −0.875839 0.482603i \(-0.839691\pi\)
0.997194 0.0748647i \(-0.0238525\pi\)
\(230\) −15.9061 + 15.3560i −1.04882 + 1.01254i
\(231\) 7.61563 4.87551i 0.501072 0.320785i
\(232\) 0.0338075 10.5675i 0.00221957 0.693791i
\(233\) −13.1346 + 8.05757i −0.860476 + 0.527869i −0.881648 0.471907i \(-0.843566\pi\)
0.0211719 + 0.999776i \(0.493260\pi\)
\(234\) 9.00932 + 6.61638i 0.588958 + 0.432526i
\(235\) −20.7283 6.28335i −1.35217 0.409881i
\(236\) −11.6262 10.2591i −0.756800 0.667812i
\(237\) 44.5592 + 17.0121i 2.89443 + 1.10505i
\(238\) 10.0917 + 3.48730i 0.654148 + 0.226048i
\(239\) −6.42900 7.92704i −0.415857 0.512758i 0.525212 0.850971i \(-0.323986\pi\)
−0.941069 + 0.338213i \(0.890177\pi\)
\(240\) −18.2238 19.4912i −1.17634 1.25815i
\(241\) −4.40660 0.0281954i −0.283854 0.00181623i −0.135594 0.990765i \(-0.543294\pi\)
−0.148261 + 0.988948i \(0.547367\pi\)
\(242\) 5.95820 12.3003i 0.383007 0.790696i
\(243\) 1.28836 0.848243i 0.0826484 0.0544148i
\(244\) 1.05889 + 4.71877i 0.0677886 + 0.302088i
\(245\) −8.13144 + 1.09921i −0.519499 + 0.0702258i
\(246\) 40.6376 30.6521i 2.59096 1.95431i
\(247\) 0.282568 + 4.64297i 0.0179794 + 0.295425i
\(248\) 9.14827 + 3.62747i 0.580916 + 0.230345i
\(249\) 21.5963 + 4.62897i 1.36861 + 0.293349i
\(250\) 10.9245 19.5916i 0.690928 1.23908i
\(251\) −8.60512 + 28.7183i −0.543150 + 1.81268i 0.0385169 + 0.999258i \(0.487737\pi\)
−0.581667 + 0.813427i \(0.697599\pi\)
\(252\) −11.6536 6.74477i −0.734106 0.424881i
\(253\) 0.516522 + 12.4124i 0.0324734 + 0.780362i
\(254\) −9.52202 + 0.671287i −0.597465 + 0.0421203i
\(255\) 12.6880 15.6445i 0.794553 0.979695i
\(256\) −17.8113 + 11.0840i −1.11321 + 0.692751i
\(257\) 19.0693 13.2668i 1.18951 0.827559i 0.201131 0.979564i \(-0.435538\pi\)
0.988380 + 0.152005i \(0.0485730\pi\)
\(258\) 45.1635 + 9.37853i 2.81176 + 0.583881i
\(259\) 0.865477 4.69343i 0.0537781 0.291636i
\(260\) −2.21074 1.26070i −0.137104 0.0781856i
\(261\) −57.7069 3.32674i −3.57197 0.205920i
\(262\) −2.81858 + 2.75616i −0.174133 + 0.170276i
\(263\) −1.70416 6.96567i −0.105083 0.429522i 0.894772 0.446522i \(-0.147338\pi\)
−0.999855 + 0.0170009i \(0.994588\pi\)
\(264\) −6.34458 + 0.162415i −0.390482 + 0.00999595i
\(265\) 2.07555 + 13.1317i 0.127500 + 0.806673i
\(266\) −2.29968 13.4327i −0.141002 0.823610i
\(267\) −21.8841 42.3785i −1.33928 2.59352i
\(268\) 0.625322 0.0400650i 0.0381976 0.00244736i
\(269\) −0.356871 0.401827i −0.0217588 0.0244998i 0.736714 0.676204i \(-0.236376\pi\)
−0.758473 + 0.651704i \(0.774054\pi\)
\(270\) −24.0051 + 20.1136i −1.46090 + 1.22407i
\(271\) −13.2865 + 0.255067i −0.807099 + 0.0154942i −0.421111 0.907009i \(-0.638360\pi\)
−0.385989 + 0.922504i \(0.626140\pi\)
\(272\) −11.3269 13.6065i −0.686791 0.825016i
\(273\) 4.64279 + 1.05745i 0.280995 + 0.0640001i
\(274\) −3.59322 + 0.698320i −0.217075 + 0.0421870i
\(275\) −1.03464 2.96333i −0.0623909 0.178696i
\(276\) 23.9927 13.6822i 1.44419 0.823569i
\(277\) −4.89464 + 2.42920i −0.294091 + 0.145957i −0.585573 0.810620i \(-0.699131\pi\)
0.291483 + 0.956576i \(0.405851\pi\)
\(278\) 7.29270 + 7.60249i 0.437387 + 0.455967i
\(279\) 22.5324 48.8869i 1.34898 2.92678i
\(280\) −2.95612 1.28305i −0.176662 0.0766768i
\(281\) 4.68318 + 10.3342i 0.279375 + 0.616485i 0.996781 0.0801705i \(-0.0255465\pi\)
−0.717406 + 0.696655i \(0.754671\pi\)
\(282\) 56.3162 + 34.0538i 3.35358 + 2.02787i
\(283\) −16.4426 13.0757i −0.977409 0.777267i −0.00252822 0.999997i \(-0.500805\pi\)
−0.974880 + 0.222729i \(0.928503\pi\)
\(284\) 9.41586 0.361654i 0.558728 0.0214602i
\(285\) −25.2982 4.58139i −1.49853 0.271378i
\(286\) −3.29455 + 1.11492i −0.194811 + 0.0659266i
\(287\) 7.15382 12.6386i 0.422277 0.746031i
\(288\) 19.6256 + 35.7314i 1.15645 + 2.10549i
\(289\) −2.44878 + 2.68720i −0.144046 + 0.158071i
\(290\) 31.9557 1.84221i 1.87650 0.108178i
\(291\) −34.9123 17.3269i −2.04660 1.01572i
\(292\) −1.00094 3.19137i −0.0585754 0.186761i
\(293\) 18.7164 4.89756i 1.09342 0.286119i 0.337860 0.941196i \(-0.390297\pi\)
0.755562 + 0.655078i \(0.227364\pi\)
\(294\) 24.7664 + 2.86503i 1.44440 + 0.167092i
\(295\) −12.4810 + 16.0078i −0.726673 + 0.932009i
\(296\) −2.22433 + 2.50454i −0.129287 + 0.145573i
\(297\) −0.506609 + 17.5903i −0.0293964 + 1.02069i
\(298\) 11.8473 + 0.835217i 0.686297 + 0.0483828i
\(299\) −4.46782 + 4.77853i −0.258381 + 0.276350i
\(300\) −4.79838 + 5.06670i −0.277034 + 0.292526i
\(301\) 12.8856 2.67579i 0.742715 0.154230i
\(302\) 0.711561 + 31.7690i 0.0409457 + 1.82810i
\(303\) 3.79412 + 8.23182i 0.217967 + 0.472906i
\(304\) −8.26199 + 21.0324i −0.473858 + 1.20629i
\(305\) 6.08181 1.75891i 0.348243 0.100715i
\(306\) −32.8825 + 24.4740i −1.87977 + 1.39909i
\(307\) 18.3175 18.1425i 1.04543 1.03545i 0.0460989 0.998937i \(-0.485321\pi\)
0.999333 0.0365096i \(-0.0116240\pi\)
\(308\) 3.79931 1.76590i 0.216486 0.100621i
\(309\) −22.1816 26.9953i −1.26187 1.53571i
\(310\) −9.28389 + 28.3260i −0.527290 + 1.60881i
\(311\) 21.3207 14.2337i 1.20899 0.807121i 0.223145 0.974785i \(-0.428368\pi\)
0.985844 + 0.167664i \(0.0536224\pi\)
\(312\) −2.40440 2.32124i −0.136122 0.131415i
\(313\) 0.0132260 + 0.00265831i 0.000747577 + 0.000150257i 0.197425 0.980318i \(-0.436742\pi\)
−0.196677 + 0.980468i \(0.563015\pi\)
\(314\) −6.52132 + 2.93018i −0.368019 + 0.165360i
\(315\) −7.88664 + 15.7641i −0.444362 + 0.888206i
\(316\) 19.4034 + 10.5767i 1.09152 + 0.594988i
\(317\) 0.396812 0.200111i 0.0222872 0.0112394i −0.439102 0.898437i \(-0.644703\pi\)
0.461389 + 0.887198i \(0.347351\pi\)
\(318\) 3.74232 40.2213i 0.209859 2.25550i
\(319\) 11.1496 14.1130i 0.624257 0.790175i
\(320\) −2.81843 3.96932i −0.157555 0.221892i
\(321\) −7.21249 + 8.22648i −0.402562 + 0.459157i
\(322\) 11.4926 15.3384i 0.640458 0.854774i
\(323\) −16.5821 4.00065i −0.922653 0.222602i
\(324\) 12.2903 5.90485i 0.682792 0.328047i
\(325\) 0.730037 1.48286i 0.0404952 0.0822542i
\(326\) −2.20667 + 29.9354i −0.122216 + 1.65797i
\(327\) 3.36437 + 17.6122i 0.186050 + 0.973955i
\(328\) −8.88655 + 4.99259i −0.490678 + 0.275670i
\(329\) 18.6075 + 2.51536i 1.02587 + 0.138677i
\(330\) −1.65844 19.1521i −0.0912943 1.05429i
\(331\) 26.7534 + 11.2072i 1.47050 + 0.616003i 0.968534 0.248883i \(-0.0800634\pi\)
0.501969 + 0.864886i \(0.332609\pi\)
\(332\) 9.62861 + 3.46582i 0.528439 + 0.190211i
\(333\) 13.0178 + 12.8934i 0.713369 + 0.706555i
\(334\) 4.11469 + 0.583055i 0.225146 + 0.0319033i
\(335\) −0.102082 0.813922i −0.00557731 0.0444693i
\(336\) 18.2878 + 14.1649i 0.997682 + 0.772757i
\(337\) 10.4968 16.7480i 0.571796 0.912320i −0.428167 0.903700i \(-0.640841\pi\)
0.999963 0.00862036i \(-0.00274398\pi\)
\(338\) 19.7567 + 9.96328i 1.07462 + 0.541931i
\(339\) −25.5612 36.9928i −1.38829 2.00917i
\(340\) 6.79668 6.39561i 0.368602 0.346851i
\(341\) 8.43659 + 14.4697i 0.456867 + 0.783578i
\(342\) 47.5849 + 21.7480i 2.57309 + 1.17600i
\(343\) 17.4239 5.28166i 0.940800 0.285183i
\(344\) −8.71083 3.07265i −0.469656 0.165666i
\(345\) −19.7865 30.2632i −1.06527 1.62932i
\(346\) −2.54617 + 18.3920i −0.136883 + 0.988759i
\(347\) −26.2824 11.6078i −1.41091 0.623137i −0.448266 0.893900i \(-0.647958\pi\)
−0.962646 + 0.270763i \(0.912724\pi\)
\(348\) −39.2526 7.62848i −2.10416 0.408929i
\(349\) 3.17149 + 21.8775i 0.169766 + 1.17108i 0.882732 + 0.469877i \(0.155702\pi\)
−0.712966 + 0.701199i \(0.752648\pi\)
\(350\) −1.65459 + 4.55099i −0.0884416 + 0.243260i
\(351\) −6.78906 + 6.30703i −0.362373 + 0.336644i
\(352\) −12.6098 1.37703i −0.672107 0.0733962i
\(353\) −19.5003 19.5628i −1.03790 1.04122i −0.999119 0.0419763i \(-0.986635\pi\)
−0.0387797 0.999248i \(-0.512347\pi\)
\(354\) 48.7596 37.7669i 2.59155 2.00729i
\(355\) −1.22137 12.2749i −0.0648235 0.651486i
\(356\) −7.41769 20.8163i −0.393137 1.10326i
\(357\) −8.69861 + 15.1409i −0.460379 + 0.801343i
\(358\) −26.0770 + 26.8388i −1.37821 + 1.41848i
\(359\) 14.0736 7.32466i 0.742776 0.386581i −0.0478708 0.998854i \(-0.515244\pi\)
0.790647 + 0.612273i \(0.209745\pi\)
\(360\) 10.4618 6.60363i 0.551385 0.348042i
\(361\) 0.727467 + 2.67497i 0.0382877 + 0.140788i
\(362\) 13.1568 1.86433i 0.691506 0.0979871i
\(363\) 17.9306 + 13.3455i 0.941112 + 0.700459i
\(364\) 2.06609 + 0.773695i 0.108293 + 0.0405526i
\(365\) −4.09056 + 1.56172i −0.214110 + 0.0817441i
\(366\) −19.2266 + 0.615304i −1.00499 + 0.0321624i
\(367\) 2.40673 + 21.4043i 0.125630 + 1.11729i 0.884659 + 0.466238i \(0.154391\pi\)
−0.759029 + 0.651057i \(0.774326\pi\)
\(368\) −29.4666 + 11.9028i −1.53605 + 0.620478i
\(369\) 24.6260 + 50.0205i 1.28198 + 2.60396i
\(370\) −7.98141 6.26414i −0.414934 0.325657i
\(371\) −3.58950 10.9519i −0.186358 0.568594i
\(372\) 19.9775 31.4262i 1.03579 1.62937i
\(373\) 0.580638 13.9532i 0.0300643 0.722468i −0.916516 0.399999i \(-0.869011\pi\)
0.946580 0.322469i \(-0.104513\pi\)
\(374\) −0.367188 12.7493i −0.0189868 0.659252i
\(375\) 28.1191 + 23.5607i 1.45206 + 1.21667i
\(376\) −10.2621 8.26849i −0.529227 0.426415i
\(377\) 9.41509 1.02816i 0.484902 0.0529528i
\(378\) 17.7670 20.5284i 0.913837 1.05586i
\(379\) 3.20447 + 0.993797i 0.164603 + 0.0510479i 0.377410 0.926046i \(-0.376815\pi\)
−0.212808 + 0.977094i \(0.568261\pi\)
\(380\) −11.3312 3.67373i −0.581281 0.188458i
\(381\) 1.84357 15.5019i 0.0944490 0.794186i
\(382\) 7.04195 6.71188i 0.360298 0.343410i
\(383\) 12.2667 + 23.0268i 0.626797 + 1.17661i 0.971307 + 0.237830i \(0.0764362\pi\)
−0.344510 + 0.938783i \(0.611955\pi\)
\(384\) −9.20684 23.8856i −0.469834 1.21891i
\(385\) −2.60964 4.82413i −0.132999 0.245860i
\(386\) −3.79207 + 2.00454i −0.193011 + 0.102028i
\(387\) −19.3721 + 46.6627i −0.984737 + 2.37200i
\(388\) −14.9545 10.1225i −0.759198 0.513894i
\(389\) −5.87993 2.15908i −0.298124 0.109470i 0.191255 0.981540i \(-0.438744\pi\)
−0.489380 + 0.872071i \(0.662777\pi\)
\(390\) 6.57556 7.69650i 0.332966 0.389727i
\(391\) −11.9506 20.8013i −0.604367 1.05197i
\(392\) −4.83788 1.23292i −0.244350 0.0622720i
\(393\) −3.56251 5.37344i −0.179705 0.271054i
\(394\) 1.52219 25.0116i 0.0766868 1.26007i
\(395\) 12.2776 26.1955i 0.617751 1.31804i
\(396\) −2.61266 + 15.8707i −0.131291 + 0.797535i
\(397\) −1.24159 + 18.4529i −0.0623134 + 0.926125i 0.852623 + 0.522527i \(0.175011\pi\)
−0.914936 + 0.403598i \(0.867759\pi\)
\(398\) 2.12404 + 2.65350i 0.106468 + 0.133008i
\(399\) 22.2835 + 0.427786i 1.11557 + 0.0214161i
\(400\) 6.25231 5.03768i 0.312615 0.251884i
\(401\) −8.98953 + 9.01834i −0.448916 + 0.450354i −0.895945 0.444165i \(-0.853500\pi\)
0.447029 + 0.894519i \(0.352482\pi\)
\(402\) −0.310168 + 2.47305i −0.0154698 + 0.123344i
\(403\) −2.31459 + 8.51096i −0.115298 + 0.423961i
\(404\) 1.23113 + 4.01512i 0.0612512 + 0.199759i
\(405\) −8.69324 15.5901i −0.431971 0.774678i
\(406\) −27.0942 + 5.98897i −1.34466 + 0.297227i
\(407\) −5.60986 + 1.01592i −0.278070 + 0.0503573i
\(408\) 10.7231 5.93447i 0.530875 0.293800i
\(409\) −13.8004 15.3401i −0.682386 0.758517i 0.298222 0.954497i \(-0.403606\pi\)
−0.980608 + 0.195980i \(0.937211\pi\)
\(410\) −16.7296 25.9487i −0.826214 1.28151i
\(411\) −0.0191514 5.98634i −0.000944670 0.295284i
\(412\) −8.50909 13.7716i −0.419213 0.678477i
\(413\) 8.47132 15.4233i 0.416846 0.758930i
\(414\) 23.8095 + 69.6219i 1.17017 + 3.42173i
\(415\) 3.76307 12.8573i 0.184722 0.631141i
\(416\) −4.14077 5.24132i −0.203018 0.256977i
\(417\) −14.4502 + 9.38191i −0.707631 + 0.459434i
\(418\) −14.0374 + 8.24480i −0.686590 + 0.403266i
\(419\) −10.0264 + 8.51081i −0.489823 + 0.415780i −0.857744 0.514077i \(-0.828135\pi\)
0.367922 + 0.929857i \(0.380069\pi\)
\(420\) −6.86756 + 10.0762i −0.335103 + 0.491666i
\(421\) −14.6501 + 1.50505i −0.714004 + 0.0733517i −0.452389 0.891821i \(-0.649428\pi\)
−0.261615 + 0.965172i \(0.584255\pi\)
\(422\) −25.3047 4.08259i −1.23181 0.198737i
\(423\) −48.2116 + 53.5904i −2.34413 + 2.60565i
\(424\) −1.82160 + 7.88128i −0.0884648 + 0.382749i
\(425\) 4.41412 + 4.15365i 0.214116 + 0.201482i
\(426\) −5.61444 + 37.0578i −0.272021 + 1.79546i
\(427\) −4.96213 + 2.34509i −0.240134 + 0.113487i
\(428\) −3.82220 + 3.32951i −0.184753 + 0.160938i
\(429\) −0.780019 5.63439i −0.0376597 0.272031i
\(430\) 7.68695 26.9014i 0.370698 1.29730i
\(431\) 2.07934 + 10.5195i 0.100158 + 0.506705i 0.997818 + 0.0660170i \(0.0210292\pi\)
−0.897660 + 0.440688i \(0.854735\pi\)
\(432\) −42.8221 + 13.8835i −2.06028 + 0.667968i
\(433\) 15.6095 0.199761i 0.750144 0.00959990i 0.363210 0.931707i \(-0.381681\pi\)
0.386934 + 0.922107i \(0.373534\pi\)
\(434\) 4.03426 25.5241i 0.193650 1.22520i
\(435\) −6.84657 + 51.8979i −0.328268 + 2.48832i
\(436\) 0.451600 + 8.29541i 0.0216277 + 0.397278i
\(437\) −15.9278 + 26.1511i −0.761929 + 1.25098i
\(438\) 13.2158 1.52883i 0.631475 0.0730504i
\(439\) 8.59766 3.34565i 0.410344 0.159679i −0.148575 0.988901i \(-0.547469\pi\)
0.558919 + 0.829222i \(0.311216\pi\)
\(440\) −0.184659 + 3.84510i −0.00880329 + 0.183308i
\(441\) −8.17237 + 26.0566i −0.389161 + 1.24079i
\(442\) 4.64942 4.84692i 0.221151 0.230545i
\(443\) −10.4902 26.7047i −0.498405 1.26878i −0.930282 0.366845i \(-0.880438\pi\)
0.431877 0.901932i \(-0.357851\pi\)
\(444\) 7.72944 + 10.0454i 0.366823 + 0.476736i
\(445\) −26.6108 + 11.3481i −1.26147 + 0.537952i
\(446\) 24.0986 + 34.4034i 1.14110 + 1.62905i
\(447\) −4.97711 + 18.7749i −0.235409 + 0.888023i
\(448\) 2.96017 + 3.00790i 0.139855 + 0.142110i
\(449\) −10.8425 + 1.67819i −0.511689 + 0.0791987i −0.403587 0.914941i \(-0.632237\pi\)
−0.108101 + 0.994140i \(0.534477\pi\)
\(450\) −10.8597 15.0888i −0.511931 0.711291i
\(451\) −17.1441 2.65355i −0.807286 0.124951i
\(452\) −9.44030 18.5717i −0.444034 0.873538i
\(453\) −51.2511 8.60552i −2.40799 0.404323i
\(454\) −18.0332 + 3.86525i −0.846340 + 0.181405i
\(455\) 0.846681 2.76129i 0.0396930 0.129451i
\(456\) −13.2280 8.34972i −0.619460 0.391011i
\(457\) 25.8202 + 2.15266i 1.20782 + 0.100697i 0.669998 0.742363i \(-0.266295\pi\)
0.537820 + 0.843060i \(0.319248\pi\)
\(458\) 13.6679 + 8.14588i 0.638661 + 0.380632i
\(459\) −14.8141 30.5828i −0.691463 1.42748i
\(460\) −7.20656 15.1234i −0.336007 0.705131i
\(461\) 3.43336 8.57853i 0.159908 0.399542i −0.826702 0.562639i \(-0.809786\pi\)
0.986610 + 0.163097i \(0.0521485\pi\)
\(462\) 4.06381 + 16.1619i 0.189066 + 0.751922i
\(463\) −24.1781 + 21.6118i −1.12365 + 1.00439i −0.123725 + 0.992317i \(0.539484\pi\)
−0.999927 + 0.0120711i \(0.996158\pi\)
\(464\) 43.5818 + 14.7487i 2.02323 + 0.684690i
\(465\) −42.6532 23.6054i −1.97800 1.09468i
\(466\) −6.39510 27.6688i −0.296247 1.28173i
\(467\) 14.3669 24.6408i 0.664820 1.14024i −0.316635 0.948548i \(-0.602553\pi\)
0.981455 0.191694i \(-0.0613981\pi\)
\(468\) −6.92159 + 4.88146i −0.319951 + 0.225646i
\(469\) 0.199749 + 0.682484i 0.00922353 + 0.0315142i
\(470\) 23.1104 32.5474i 1.06600 1.50130i
\(471\) −2.70584 11.3748i −0.124679 0.524123i
\(472\) −10.6892 + 6.18661i −0.492009 + 0.284762i
\(473\) −8.43392 13.2672i −0.387792 0.610027i
\(474\) −55.8050 + 67.9155i −2.56321 + 3.11946i
\(475\) 1.93447 7.49046i 0.0887594 0.343686i
\(476\) −4.93371 + 6.41202i −0.226136 + 0.293895i
\(477\) 42.5039 + 12.2925i 1.94612 + 0.562835i
\(478\) 17.6152 6.59641i 0.805701 0.301713i
\(479\) 10.4135 9.18903i 0.475805 0.419858i −0.389559 0.921002i \(-0.627372\pi\)
0.865364 + 0.501144i \(0.167087\pi\)
\(480\) 33.5783 15.3465i 1.53263 0.700469i
\(481\) −2.45336 1.73024i −0.111864 0.0788921i
\(482\) 2.62793 7.68437i 0.119699 0.350013i
\(483\) 21.1125 + 23.1681i 0.960653 + 1.05418i
\(484\) 7.40447 + 7.24048i 0.336567 + 0.329113i
\(485\) −12.0379 + 20.3460i −0.546611 + 0.923864i
\(486\) 0.728446 + 2.74788i 0.0330430 + 0.124646i
\(487\) −14.1350 + 16.7606i −0.640520 + 0.759496i −0.983709 0.179771i \(-0.942464\pi\)
0.343189 + 0.939266i \(0.388493\pi\)
\(488\) 3.83191 + 0.393663i 0.173462 + 0.0178203i
\(489\) −47.4103 12.7306i −2.14397 0.575700i
\(490\) 2.83740 14.8535i 0.128181 0.671014i
\(491\) 7.92587 + 23.6698i 0.357690 + 1.06820i 0.962372 + 0.271735i \(0.0875973\pi\)
−0.604683 + 0.796467i \(0.706700\pi\)
\(492\) 12.2467 + 36.5736i 0.552126 + 1.64886i
\(493\) −6.51679 + 34.1148i −0.293502 + 1.53645i
\(494\) −8.27928 2.22316i −0.372503 0.100025i
\(495\) 20.9461 + 2.15185i 0.941455 + 0.0967183i
\(496\) −27.6233 + 32.7543i −1.24032 + 1.47071i
\(497\) 2.74017 + 10.3366i 0.122914 + 0.463661i
\(498\) −20.7272 + 35.0325i −0.928809 + 1.56984i
\(499\) 20.5054 + 20.0513i 0.917949 + 0.897619i 0.995047 0.0994048i \(-0.0316939\pi\)
−0.0770984 + 0.997023i \(0.524566\pi\)
\(500\) 11.4485 + 12.5631i 0.511991 + 0.561840i
\(501\) −2.19923 + 6.43080i −0.0982542 + 0.287307i
\(502\) −45.1519 31.8435i −2.01523 1.42124i
\(503\) 31.2672 14.2903i 1.39414 0.637171i 0.430062 0.902800i \(-0.358492\pi\)
0.964076 + 0.265628i \(0.0855794\pi\)
\(504\) −8.04170 + 7.09612i −0.358206 + 0.316086i
\(505\) 5.14864 1.92802i 0.229112 0.0857960i
\(506\) −21.9939 6.36083i −0.977748 0.282773i
\(507\) −22.0672 + 28.6793i −0.980040 + 1.27369i
\(508\) 1.80864 7.00323i 0.0802452 0.310718i
\(509\) −16.5283 + 20.1152i −0.732603 + 0.891589i −0.997352 0.0727290i \(-0.976829\pi\)
0.264749 + 0.964317i \(0.414711\pi\)
\(510\) 19.9151 + 31.3280i 0.881857 + 1.38723i
\(511\) 3.28519 1.90138i 0.145328 0.0841121i
\(512\) −5.01626 21.0873i −0.221690 0.931937i
\(513\) −25.1110 + 35.3650i −1.10868 + 1.56140i
\(514\) 12.0257 + 41.0885i 0.530432 + 1.81234i
\(515\) −17.3186 + 12.2140i −0.763150 + 0.538213i
\(516\) −17.6048 + 30.1942i −0.775008 + 1.32923i
\(517\) −5.05108 21.8538i −0.222146 0.961130i
\(518\) 7.69567 + 4.25899i 0.338128 + 0.187129i
\(519\) −28.7630 9.73382i −1.26256 0.427267i
\(520\) −1.51134 + 1.35093i −0.0662767 + 0.0592421i
\(521\) 2.47220 + 9.83202i 0.108309 + 0.430748i 0.999749 0.0223894i \(-0.00712736\pi\)
−0.891440 + 0.453138i \(0.850305\pi\)
\(522\) 39.5826 98.9004i 1.73248 4.32875i
\(523\) 19.0575 + 39.9932i 0.833325 + 1.74878i 0.641140 + 0.767424i \(0.278462\pi\)
0.192186 + 0.981359i \(0.438442\pi\)
\(524\) −1.30220 2.68832i −0.0568870 0.117440i
\(525\) −6.80285 4.05439i −0.296901 0.176948i
\(526\) 13.1703 + 1.09802i 0.574251 + 0.0478759i
\(527\) −27.3513 17.2645i −1.19144 0.752055i
\(528\) 8.10056 26.4185i 0.352531 1.14972i
\(529\) −19.6175 + 4.20483i −0.852935 + 0.182819i
\(530\) −24.1632 4.05721i −1.04958 0.176234i
\(531\) 30.6114 + 60.2210i 1.32842 + 2.61337i
\(532\) 10.2049 + 1.57950i 0.442438 + 0.0684801i
\(533\) −5.33647 7.41462i −0.231148 0.321163i
\(534\) 86.8657 13.4450i 3.75905 0.581822i
\(535\) 4.65463 + 4.72968i 0.201237 + 0.204482i
\(536\) 0.127892 0.482440i 0.00552409 0.0208383i
\(537\) −35.1112 50.1250i −1.51516 2.16305i
\(538\) 0.911057 0.388518i 0.0392784 0.0167502i
\(539\) −5.18173 6.73436i −0.223193 0.290069i
\(540\) −8.67639 22.0873i −0.373372 0.950485i
\(541\) 24.0248 25.0453i 1.03291 1.07678i 0.0359080 0.999355i \(-0.488568\pi\)
0.996998 0.0774274i \(-0.0246706\pi\)
\(542\) 7.32925 23.3685i 0.314818 1.00376i
\(543\) −1.04246 + 21.7068i −0.0447362 + 0.931528i
\(544\) 22.8277 8.88303i 0.978728 0.380857i
\(545\) 10.8037 1.24980i 0.462779 0.0535354i
\(546\) −4.56485 + 7.49483i −0.195357 + 0.320749i
\(547\) −0.325812 5.98482i −0.0139307 0.255892i −0.997256 0.0740350i \(-0.976412\pi\)
0.983325 0.181857i \(-0.0582109\pi\)
\(548\) 0.362764 2.74980i 0.0154965 0.117466i
\(549\) 3.28945 20.8118i 0.140390 0.888228i
\(550\) 5.78409 0.0740214i 0.246635 0.00315628i
\(551\) 42.1694 13.6718i 1.79648 0.582440i
\(552\) −4.26605 21.5822i −0.181575 0.918599i
\(553\) −6.89050 + 24.1141i −0.293014 + 1.02544i
\(554\) −1.38097 9.97528i −0.0586717 0.423809i
\(555\) 12.5117 10.8989i 0.531092 0.462633i
\(556\) −7.21711 + 3.41079i −0.306074 + 0.144650i
\(557\) 4.92219 32.4887i 0.208560 1.37659i −0.605517 0.795832i \(-0.707034\pi\)
0.814077 0.580757i \(-0.197243\pi\)
\(558\) 72.2480 + 67.9847i 3.05850 + 2.87802i
\(559\) 1.86425 8.06580i 0.0788494 0.341147i
\(560\) 9.38384 10.4308i 0.396540 0.440780i
\(561\) 20.5928 + 3.32239i 0.869429 + 0.140271i
\(562\) −20.8002 + 2.13687i −0.877405 + 0.0901383i
\(563\) 2.82020 4.13783i 0.118857 0.174389i −0.762283 0.647244i \(-0.775921\pi\)
0.881140 + 0.472856i \(0.156777\pi\)
\(564\) −38.0177 + 32.2709i −1.60083 + 1.35885i
\(565\) −23.5168 + 13.8125i −0.989361 + 0.581098i
\(566\) 32.4725 21.0830i 1.36492 0.886184i
\(567\) 9.59257 + 12.1421i 0.402850 + 0.509922i
\(568\) 2.10825 7.20329i 0.0884603 0.302243i
\(569\) −8.48000 24.7965i −0.355500 1.03952i −0.968408 0.249371i \(-0.919776\pi\)
0.612908 0.790154i \(-0.290000\pi\)
\(570\) 22.8103 41.5295i 0.955418 1.73948i
\(571\) 10.5505 + 17.0755i 0.441525 + 0.714588i 0.992806 0.119731i \(-0.0382032\pi\)
−0.551282 + 0.834319i \(0.685861\pi\)
\(572\) −0.00843124 2.63543i −0.000352528 0.110193i
\(573\) 8.62089 + 13.3716i 0.360143 + 0.558606i
\(574\) 17.9006 + 19.8977i 0.747156 + 0.830512i
\(575\) 9.51947 5.26833i 0.396989 0.219704i
\(576\) −15.9423 + 2.88708i −0.664263 + 0.120295i
\(577\) 40.1251 8.86934i 1.67043 0.369236i 0.723413 0.690416i \(-0.242572\pi\)
0.947018 + 0.321180i \(0.104080\pi\)
\(578\) −3.26311 5.85192i −0.135727 0.243408i
\(579\) −2.05641 6.70659i −0.0854613 0.278716i
\(580\) −6.36477 + 23.4039i −0.264283 + 0.971793i
\(581\) −1.44524 + 11.5233i −0.0599587 + 0.478066i
\(582\) 50.7100 50.8725i 2.10200 2.10873i
\(583\) −10.7205 + 8.63786i −0.443999 + 0.357744i
\(584\) −2.66360 0.0511343i −0.110221 0.00211595i
\(585\) 6.92904 + 8.65624i 0.286481 + 0.357891i
\(586\) −2.39357 + 35.5742i −0.0988777 + 1.46956i
\(587\) 0.320291 1.94562i 0.0132198 0.0803043i −0.979292 0.202453i \(-0.935109\pi\)
0.992512 + 0.122148i \(0.0389784\pi\)
\(588\) −8.01728 + 17.1057i −0.330627 + 0.705428i
\(589\) −2.50784 + 41.2071i −0.103334 + 1.69791i
\(590\) −20.6712 31.1789i −0.851019 1.28362i
\(591\) 39.7108 + 10.1202i 1.63348 + 0.416289i
\(592\) −7.26508 12.6457i −0.298593 0.519735i
\(593\) −10.1043 + 11.8268i −0.414934 + 0.485668i −0.927947 0.372713i \(-0.878427\pi\)
0.513013 + 0.858381i \(0.328529\pi\)
\(594\) −30.4438 11.1788i −1.24913 0.458671i
\(595\) 8.77094 + 5.93696i 0.359573 + 0.243392i
\(596\) −3.45055 + 8.31155i −0.141340 + 0.340454i
\(597\) −4.91428 + 2.59775i −0.201128 + 0.106319i
\(598\) −5.73637 10.6041i −0.234578 0.433636i
\(599\) 0.168729 + 0.437739i 0.00689407 + 0.0178855i 0.936487 0.350703i \(-0.114057\pi\)
−0.929593 + 0.368588i \(0.879841\pi\)
\(600\) 2.61331 + 4.90567i 0.106688 + 0.200273i
\(601\) 23.6077 22.5011i 0.962977 0.917840i −0.0336889 0.999432i \(-0.510726\pi\)
0.996666 + 0.0815921i \(0.0260005\pi\)
\(602\) −2.86425 + 24.0844i −0.116738 + 0.981607i
\(603\) −2.59694 0.841959i −0.105755 0.0342872i
\(604\) −22.9977 7.13224i −0.935764 0.290207i
\(605\) 8.87229 10.2512i 0.360710 0.416771i
\(606\) −16.6060 + 1.81342i −0.674571 + 0.0736653i
\(607\) −11.5343 9.29354i −0.468162 0.377213i 0.364312 0.931277i \(-0.381304\pi\)
−0.832474 + 0.554064i \(0.813076\pi\)
\(608\) −23.9645 20.0796i −0.971887 0.814334i
\(609\) −1.30643 45.3612i −0.0529391 1.83813i
\(610\) −0.485115 + 11.6577i −0.0196417 + 0.472006i
\(611\) 6.33645 9.96773i 0.256345 0.403251i
\(612\) −9.67358 29.5150i −0.391031 1.19307i
\(613\) 9.05971 + 7.11043i 0.365918 + 0.287188i 0.783425 0.621486i \(-0.213471\pi\)
−0.417507 + 0.908674i \(0.637096\pi\)
\(614\) 20.9864 + 42.6277i 0.846941 + 1.72032i
\(615\) 46.8168 18.9113i 1.88783 0.762578i
\(616\) −0.372885 3.31625i −0.0150239 0.133616i
\(617\) 2.62828 0.0841122i 0.105811 0.00338623i 0.0209639 0.999780i \(-0.493327\pi\)
0.0848468 + 0.996394i \(0.472960\pi\)
\(618\) 60.1565 22.9669i 2.41985 0.923863i
\(619\) −2.59301 0.971012i −0.104222 0.0390283i 0.298036 0.954555i \(-0.403669\pi\)
−0.402258 + 0.915526i \(0.631774\pi\)
\(620\) −18.1190 13.4858i −0.727677 0.541602i
\(621\) −60.3960 + 8.55817i −2.42361 + 0.343428i
\(622\) 12.3981 + 45.5889i 0.497117 + 1.82795i
\(623\) 21.2074 13.3864i 0.849655 0.536314i
\(624\) 12.9074 6.71768i 0.516708 0.268923i
\(625\) 9.72894 10.0132i 0.389157 0.400527i
\(626\) −0.0123852 + 0.0215578i −0.000495011 + 0.000861623i
\(627\) −8.93673 25.0792i −0.356899 1.00157i
\(628\) −0.536376 5.39066i −0.0214037 0.215111i
\(629\) 8.70370 6.74147i 0.347039 0.268800i
\(630\) −22.9338 23.0073i −0.913705 0.916633i
\(631\) −1.89025 0.206421i −0.0752497 0.00821750i 0.0708550 0.997487i \(-0.477427\pi\)
−0.146105 + 0.989269i \(0.546674\pi\)
\(632\) 12.8960 11.9804i 0.512977 0.476555i
\(633\) 14.3231 39.3959i 0.569292 1.56585i
\(634\) 0.117504 + 0.810560i 0.00466666 + 0.0321914i
\(635\) −9.29495 1.80641i −0.368859 0.0716853i
\(636\) 27.9993 + 12.3660i 1.11024 + 0.490345i
\(637\) 0.613591 4.43221i 0.0243114 0.175611i
\(638\) 18.1390 + 27.7434i 0.718129 + 1.09837i
\(639\) −38.7156 13.6565i −1.53157 0.540243i
\(640\) −14.8590 + 4.50419i −0.587355 + 0.178044i
\(641\) −21.8256 9.97510i −0.862061 0.393993i −0.0649949 0.997886i \(-0.520703\pi\)
−0.797066 + 0.603893i \(0.793616\pi\)
\(642\) −10.1558 17.4183i −0.400817 0.687447i
\(643\) −19.9170 + 18.7417i −0.785451 + 0.739102i −0.969838 0.243752i \(-0.921622\pi\)
0.184387 + 0.982854i \(0.440970\pi\)
\(644\) 8.25578 + 11.9480i 0.325323 + 0.470817i
\(645\) 40.8548 + 20.6030i 1.60866 + 0.811242i
\(646\) 16.6949 26.6374i 0.656854 1.04803i
\(647\) 31.8387 + 24.6607i 1.25171 + 0.969514i 0.999999 + 0.00171085i \(0.000544582\pi\)
0.251709 + 0.967803i \(0.419007\pi\)
\(648\) −1.35156 10.7763i −0.0530941 0.423333i
\(649\) −20.8123 2.94912i −0.816954 0.115763i
\(650\) 2.16421 + 2.14353i 0.0848871 + 0.0840763i
\(651\) 39.7633 + 14.3128i 1.55845 + 0.560963i
\(652\) −20.9782 8.78789i −0.821569 0.344160i
\(653\) −2.43420 28.1107i −0.0952576 1.10006i −0.878307 0.478098i \(-0.841327\pi\)
0.783049 0.621960i \(-0.213663\pi\)
\(654\) −32.7473 4.42678i −1.28052 0.173101i
\(655\) −3.40927 + 1.91538i −0.133211 + 0.0748399i
\(656\) −8.32692 43.5906i −0.325112 1.70193i
\(657\) −1.07127 + 14.5327i −0.0417941 + 0.566975i
\(658\) −15.2845 + 31.0461i −0.595853 + 1.21030i
\(659\) −4.08860 + 1.96437i −0.159269 + 0.0765208i −0.511001 0.859580i \(-0.670725\pi\)
0.351732 + 0.936101i \(0.385593\pi\)
\(660\) 14.1601 + 3.41631i 0.551181 + 0.132980i
\(661\) 16.2659 21.7090i 0.632670 0.844381i −0.363520 0.931586i \(-0.618425\pi\)
0.996190 + 0.0872058i \(0.0277938\pi\)
\(662\) −35.2410 + 40.1954i −1.36968 + 1.56224i
\(663\) 6.35925 + 8.95602i 0.246973 + 0.347823i
\(664\) 5.05296 6.39596i 0.196093 0.248211i
\(665\) 1.25239 13.4603i 0.0485657 0.521969i
\(666\) −30.1500 + 15.2046i −1.16829 + 0.589165i
\(667\) 54.7408 + 29.8391i 2.11957 + 1.15537i
\(668\) −1.40891 + 2.81619i −0.0545125 + 0.108962i
\(669\) −62.6595 + 28.1544i −2.42256 + 1.08851i
\(670\) 1.48213 + 0.297895i 0.0572595 + 0.0115087i
\(671\) 4.71676 + 4.55363i 0.182089 + 0.175791i
\(672\) −26.6183 + 17.7704i −1.02682 + 0.685508i
\(673\) −5.87007 + 17.9101i −0.226275 + 0.690384i 0.772211 + 0.635366i \(0.219151\pi\)
−0.998485 + 0.0550180i \(0.982478\pi\)
\(674\) 23.1258 + 28.1445i 0.890774 + 1.08408i
\(675\) 13.9759 6.49589i 0.537931 0.250027i
\(676\) −11.9122 + 11.7984i −0.458161 + 0.453784i
\(677\) 5.93523 4.41752i 0.228109 0.169779i −0.476943 0.878934i \(-0.658255\pi\)
0.705053 + 0.709155i \(0.250923\pi\)
\(678\) 79.6055 23.0226i 3.05723 0.884179i
\(679\) 7.49304 19.0749i 0.287556 0.732026i
\(680\) −3.11164 6.75109i −0.119326 0.258893i
\(681\) −0.675391 30.1541i −0.0258810 1.15551i
\(682\) −30.2238 + 6.27619i −1.15733 + 0.240328i
\(683\) −6.45707 + 6.81815i −0.247073 + 0.260889i −0.837794 0.545987i \(-0.816155\pi\)
0.590721 + 0.806876i \(0.298843\pi\)
\(684\) −27.0751 + 28.9580i −1.03524 + 1.10724i
\(685\) −3.62201 0.255346i −0.138390 0.00975627i
\(686\) −0.965977 + 33.5402i −0.0368812 + 1.28057i
\(687\) −17.2794 + 19.4562i −0.659251 + 0.742299i
\(688\) 24.7279 31.7153i 0.942743 1.20913i
\(689\) −7.20170 0.833109i −0.274363 0.0317389i
\(690\) 64.4659 16.8690i 2.45417 0.642190i
\(691\) 1.08388 + 3.45583i 0.0412328 + 0.131466i 0.972520 0.232821i \(-0.0747955\pi\)
−0.931287 + 0.364287i \(0.881313\pi\)
\(692\) −12.6023 6.25451i −0.479069 0.237761i
\(693\) −18.2234 + 1.05056i −0.692249 + 0.0399074i
\(694\) 35.6653 39.1378i 1.35384 1.48565i
\(695\) 5.03082 + 9.15935i 0.190830 + 0.347434i
\(696\) −15.6894 + 27.7182i −0.594703 + 1.05066i
\(697\) 31.7327 10.7388i 1.20196 0.406761i
\(698\) −40.0885 7.25985i −1.51737 0.274789i
\(699\) 46.4088 1.78252i 1.75534 0.0674209i
\(700\) −2.87187 2.28380i −0.108546 0.0863196i
\(701\) 22.9261 + 13.8632i 0.865908 + 0.523605i 0.879280 0.476305i \(-0.158024\pi\)
−0.0133716 + 0.999911i \(0.504256\pi\)
\(702\) −7.04919 15.5551i −0.266054 0.587090i
\(703\) −12.8900 5.59464i −0.486154 0.211006i
\(704\) 2.11021 4.57837i 0.0795316 0.172554i
\(705\) 45.1917 + 47.1114i 1.70202 + 1.77432i
\(706\) 45.5987 22.6305i 1.71613 0.851712i
\(707\) −4.14015 + 2.36097i −0.155706 + 0.0887935i
\(708\) 15.4047 + 44.1212i 0.578945 + 1.65818i
\(709\) −27.9843 + 5.43857i −1.05097 + 0.204250i −0.686624 0.727012i \(-0.740908\pi\)
−0.364350 + 0.931262i \(0.618709\pi\)
\(710\) 22.1661 + 5.04861i 0.831879 + 0.189471i
\(711\) −61.5994 73.9970i −2.31016 2.77510i
\(712\) −17.5986 + 0.337849i −0.659537 + 0.0126614i
\(713\) −44.5030 + 37.2886i −1.66665 + 1.39647i
\(714\) −21.3697 24.0616i −0.799739 0.900484i
\(715\) −3.44304 + 0.220599i −0.128763 + 0.00824995i
\(716\) −13.0101 25.1941i −0.486210 0.941546i
\(717\) 5.19092 + 30.3207i 0.193858 + 1.13235i
\(718\) 4.56481 + 28.8809i 0.170357 + 1.07783i
\(719\) −11.7121 + 0.299818i −0.436788 + 0.0111813i −0.243367 0.969934i \(-0.578252\pi\)
−0.193422 + 0.981116i \(0.561958\pi\)
\(720\) 12.8005 + 52.3212i 0.477045 + 1.94990i
\(721\) 13.1353 12.8444i 0.489185 0.478351i
\(722\) −5.10040 0.294033i −0.189817 0.0109428i
\(723\) 11.5375 + 6.57943i 0.429086 + 0.244692i
\(724\) −1.82593 + 9.90192i −0.0678602 + 0.368002i
\(725\) −15.4228 3.20265i −0.572787 0.118943i
\(726\) −33.8149 + 23.5255i −1.25499 + 0.873114i
\(727\) 31.4250 19.5559i 1.16549 0.725287i 0.198500 0.980101i \(-0.436393\pi\)
0.966990 + 0.254814i \(0.0820143\pi\)
\(728\) 1.10692 1.36485i 0.0410252 0.0505846i
\(729\) 24.5823 1.73301i 0.910454 0.0641855i
\(730\) −0.335505 8.06245i −0.0124176 0.298405i
\(731\) 26.2747 + 15.2071i 0.971806 + 0.562455i
\(732\) 4.18375 13.9627i 0.154636 0.516075i
\(733\) −9.05475 + 16.2384i −0.334445 + 0.599780i −0.987516 0.157517i \(-0.949651\pi\)
0.653071 + 0.757296i \(0.273480\pi\)
\(734\) −38.8140 8.31940i −1.43265 0.307075i
\(735\) 22.9896 + 9.11585i 0.847985 + 0.336243i
\(736\) −2.67105 43.8889i −0.0984561 1.61776i
\(737\) 0.678179 0.511536i 0.0249810 0.0188427i
\(738\) −101.825 + 13.7647i −3.74824 + 0.506687i
\(739\) −7.41270 33.0334i −0.272681 1.21515i −0.899825 0.436251i \(-0.856306\pi\)
0.627144 0.778903i \(-0.284224\pi\)
\(740\) 6.42119 4.22764i 0.236047 0.155411i
\(741\) 6.11178 12.6174i 0.224522 0.463512i
\(742\) 21.2398 + 0.135901i 0.779736 + 0.00498910i
\(743\) −27.3228 29.2229i −1.00238 1.07209i −0.997398 0.0720982i \(-0.977030\pi\)
−0.00497809 0.999988i \(-0.501585\pi\)
\(744\) −18.6836 23.0372i −0.684976 0.844585i
\(745\) 11.1351 + 3.84785i 0.407958 + 0.140974i
\(746\) 24.0444 + 9.17982i 0.880330 + 0.336097i
\(747\) −33.4306 29.4997i −1.22316 1.07934i
\(748\) 9.24894 + 2.80361i 0.338175 + 0.102510i
\(749\) −4.63663 3.40511i −0.169419 0.124420i
\(750\) −57.6288 + 35.3530i −2.10430 + 1.29091i
\(751\) 0.111786 34.9421i 0.00407915 1.27506i −0.768381 0.639993i \(-0.778937\pi\)
0.772460 0.635063i \(-0.219026\pi\)
\(752\) 48.3237 30.9368i 1.76219 1.12815i
\(753\) 65.0076 62.7593i 2.36901 2.28708i
\(754\) −3.71274 + 17.0552i −0.135210 + 0.621115i
\(755\) −7.49080 + 30.6183i −0.272618 + 1.11431i
\(756\) 10.4753 + 17.7049i 0.380982 + 0.643923i
\(757\) 27.0422 27.4782i 0.982864 0.998713i −0.0171351 0.999853i \(-0.505455\pi\)
0.999999 + 0.00114010i \(0.000362904\pi\)
\(758\) −3.61193 + 5.01850i −0.131191 + 0.182280i
\(759\) 16.9669 33.3785i 0.615858 1.21156i
\(760\) −5.64062 + 7.62938i −0.204607 + 0.276747i
\(761\) 1.92726 2.86694i 0.0698631 0.103927i −0.793351 0.608764i \(-0.791666\pi\)
0.863214 + 0.504838i \(0.168448\pi\)
\(762\) 26.0119 + 12.2932i 0.942311 + 0.445334i
\(763\) −9.07355 + 2.56136i −0.328485 + 0.0927274i
\(764\) 3.12832 + 6.67461i 0.113179 + 0.241479i
\(765\) −37.7979 + 14.9876i −1.36659 + 0.541879i
\(766\) −47.4192 + 7.96211i −1.71333 + 0.287683i
\(767\) −6.58040 8.90051i −0.237605 0.321379i
\(768\) 63.1656 2.83098i 2.27929 0.102154i
\(769\) 6.20718 + 3.64577i 0.223837 + 0.131470i 0.614085 0.789240i \(-0.289525\pi\)
−0.390248 + 0.920710i \(0.627611\pi\)
\(770\) 9.95763 1.73756i 0.358848