Properties

Label 983.2.c.a.492.14
Level $983$
Weight $2$
Character 983.492
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 492.14
Character \(\chi\) \(=\) 983.492
Dual form 983.2.c.a.2.14

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.668269 - 1.99571i) q^{2} +(2.16322 - 1.21533i) q^{3} +(-1.93958 + 1.46298i) q^{4} +(-1.46604 - 2.21127i) q^{5} +(-3.87105 - 3.50500i) q^{6} +(-1.51734 - 3.34825i) q^{7} +(0.745241 + 0.511430i) q^{8} +(1.64195 - 2.69585i) q^{9} +O(q^{10})\) \(q+(-0.668269 - 1.99571i) q^{2} +(2.16322 - 1.21533i) q^{3} +(-1.93958 + 1.46298i) q^{4} +(-1.46604 - 2.21127i) q^{5} +(-3.87105 - 3.50500i) q^{6} +(-1.51734 - 3.34825i) q^{7} +(0.745241 + 0.511430i) q^{8} +(1.64195 - 2.69585i) q^{9} +(-3.43336 + 4.40352i) q^{10} +(0.635632 - 0.0407256i) q^{11} +(-2.41772 + 5.52196i) q^{12} +(3.77861 - 4.36587i) q^{13} +(-5.66816 + 5.26571i) q^{14} +(-5.85878 - 3.00174i) q^{15} +(-0.812336 + 2.84286i) q^{16} +(4.47680 + 1.97721i) q^{17} +(-6.47741 - 1.47531i) q^{18} +(-1.93396 + 1.47826i) q^{19} +(6.07855 + 2.14414i) q^{20} +(-7.35155 - 5.39892i) q^{21} +(-0.506050 - 1.24132i) q^{22} +(0.282157 - 2.66269i) q^{23} +(2.23367 + 0.200622i) q^{24} +(-0.793833 + 1.87813i) q^{25} +(-11.2382 - 4.62344i) q^{26} +(0.0136640 - 0.388120i) q^{27} +(7.84142 + 4.27434i) q^{28} +(3.20787 + 4.64251i) q^{29} +(-2.07538 + 13.6984i) q^{30} +(-1.20686 + 1.79530i) q^{31} +(8.02229 - 0.359547i) q^{32} +(1.32551 - 0.860598i) q^{33} +(0.954226 - 10.2557i) q^{34} +(-5.17941 + 8.26393i) q^{35} +(0.759287 + 7.63095i) q^{36} +(9.95110 + 2.46832i) q^{37} +(4.24259 + 2.87177i) q^{38} +(2.86798 - 14.0366i) q^{39} +(0.0383568 - 2.39771i) q^{40} +(-4.15699 + 0.373370i) q^{41} +(-5.86189 + 18.2795i) q^{42} +(2.76454 - 3.78974i) q^{43} +(-1.17328 + 1.00891i) q^{44} +(-8.36843 + 0.321423i) q^{45} +(-5.50252 + 1.21629i) q^{46} +(-0.834942 + 2.78650i) q^{47} +(1.69775 + 7.13698i) q^{48} +(-4.29373 + 4.89738i) q^{49} +(4.27870 + 0.329167i) q^{50} +(12.0872 - 1.16365i) q^{51} +(-0.941705 + 13.9960i) q^{52} +(5.11765 + 4.69365i) q^{53} +(-0.783709 + 0.232100i) q^{54} +(-1.02192 - 1.34585i) q^{55} +(0.581610 - 3.27127i) q^{56} +(-2.38702 + 5.54818i) q^{57} +(7.12140 - 9.50444i) q^{58} +(-4.82526 + 0.371214i) q^{59} +(15.7550 - 2.74918i) q^{60} +(-2.42294 + 2.05668i) q^{61} +(4.38941 + 1.20881i) q^{62} +(-11.5178 - 1.40714i) q^{63} +(-3.95182 - 10.2523i) q^{64} +(-15.1937 - 1.95498i) q^{65} +(-2.60331 - 2.07023i) q^{66} +(-10.3601 - 8.90875i) q^{67} +(-11.5757 + 2.71454i) q^{68} +(-2.62567 - 6.10288i) q^{69} +(19.9537 + 4.81409i) q^{70} +(-1.12250 - 0.916337i) q^{71} +(2.60239 - 1.16932i) q^{72} +(1.77313 - 1.26757i) q^{73} +(-1.72396 - 21.5091i) q^{74} +(0.565307 + 5.02756i) q^{75} +(1.58841 - 5.69654i) q^{76} +(-1.10083 - 2.06646i) q^{77} +(-29.9295 + 3.65653i) q^{78} +(3.35650 + 0.497546i) q^{79} +(7.47727 - 2.37146i) q^{80} +(3.90278 + 7.55774i) q^{81} +(3.52313 + 8.04666i) q^{82} +(-13.3298 - 4.13396i) q^{83} +(22.1574 - 0.283557i) q^{84} +(-2.19104 - 12.7981i) q^{85} +(-9.41069 - 2.98466i) q^{86} +(12.5815 + 6.14415i) q^{87} +(0.494527 + 0.294731i) q^{88} +(-5.67944 + 3.73928i) q^{89} +(6.23383 + 16.4862i) q^{90} +(-20.3515 - 6.02720i) q^{91} +(3.34820 + 5.57728i) q^{92} +(-0.428832 + 5.35035i) q^{93} +(6.11902 - 0.195825i) q^{94} +(6.10410 + 2.10934i) q^{95} +(16.9170 - 10.5275i) q^{96} +(12.2301 + 0.626567i) q^{97} +(12.6431 + 5.29629i) q^{98} +(0.933887 - 1.78044i) 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 \(\left(\mathbb{Z}/983\mathbb{Z}\right)^\times\).

\(n\) \(5\)
\(\chi(n)\) \(e\left(\frac{154}{491}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.668269 1.99571i −0.472538 1.41118i −0.869767 0.493463i \(-0.835731\pi\)
0.397229 0.917720i \(-0.369972\pi\)
\(3\) 2.16322 1.21533i 1.24893 0.701669i 0.282668 0.959218i \(-0.408781\pi\)
0.966265 + 0.257549i \(0.0829149\pi\)
\(4\) −1.93958 + 1.46298i −0.969788 + 0.731491i
\(5\) −1.46604 2.21127i −0.655634 0.988911i −0.998768 0.0496250i \(-0.984197\pi\)
0.343134 0.939286i \(-0.388511\pi\)
\(6\) −3.87105 3.50500i −1.58035 1.43091i
\(7\) −1.51734 3.34825i −0.573501 1.26552i −0.941913 0.335857i \(-0.890974\pi\)
0.368412 0.929663i \(-0.379902\pi\)
\(8\) 0.745241 + 0.511430i 0.263483 + 0.180818i
\(9\) 1.64195 2.69585i 0.547317 0.898617i
\(10\) −3.43336 + 4.40352i −1.08572 + 1.39252i
\(11\) 0.635632 0.0407256i 0.191650 0.0122792i 0.0321806 0.999482i \(-0.489755\pi\)
0.159470 + 0.987203i \(0.449022\pi\)
\(12\) −2.41772 + 5.52196i −0.697937 + 1.59405i
\(13\) 3.77861 4.36587i 1.04800 1.21087i 0.0710317 0.997474i \(-0.477371\pi\)
0.976965 0.213401i \(-0.0684540\pi\)
\(14\) −5.66816 + 5.26571i −1.51488 + 1.40732i
\(15\) −5.85878 3.00174i −1.51273 0.775047i
\(16\) −0.812336 + 2.84286i −0.203084 + 0.710716i
\(17\) 4.47680 + 1.97721i 1.08578 + 0.479543i 0.868056 0.496467i \(-0.165369\pi\)
0.217729 + 0.976009i \(0.430135\pi\)
\(18\) −6.47741 1.47531i −1.52674 0.347735i
\(19\) −1.93396 + 1.47826i −0.443682 + 0.339135i −0.804967 0.593320i \(-0.797817\pi\)
0.361285 + 0.932456i \(0.382338\pi\)
\(20\) 6.07855 + 2.14414i 1.35920 + 0.479445i
\(21\) −7.35155 5.39892i −1.60424 1.17814i
\(22\) −0.506050 1.24132i −0.107890 0.264651i
\(23\) 0.282157 2.66269i 0.0588337 0.555209i −0.925482 0.378792i \(-0.876340\pi\)
0.984316 0.176417i \(-0.0564507\pi\)
\(24\) 2.23367 + 0.200622i 0.455946 + 0.0409519i
\(25\) −0.793833 + 1.87813i −0.158767 + 0.375626i
\(26\) −11.2382 4.62344i −2.20398 0.906731i
\(27\) 0.0136640 0.388120i 0.00262963 0.0746938i
\(28\) 7.84142 + 4.27434i 1.48189 + 0.807775i
\(29\) 3.20787 + 4.64251i 0.595686 + 0.862093i 0.998586 0.0531513i \(-0.0169266\pi\)
−0.402900 + 0.915244i \(0.631998\pi\)
\(30\) −2.07538 + 13.6984i −0.378910 + 2.50098i
\(31\) −1.20686 + 1.79530i −0.216759 + 0.322445i −0.922480 0.386045i \(-0.873841\pi\)
0.705721 + 0.708490i \(0.250623\pi\)
\(32\) 8.02229 0.359547i 1.41815 0.0635595i
\(33\) 1.32551 0.860598i 0.230742 0.149811i
\(34\) 0.954226 10.2557i 0.163648 1.75884i
\(35\) −5.17941 + 8.26393i −0.875480 + 1.39686i
\(36\) 0.759287 + 7.63095i 0.126548 + 1.27183i
\(37\) 9.95110 + 2.46832i 1.63595 + 0.405789i 0.947567 0.319557i \(-0.103534\pi\)
0.688384 + 0.725346i \(0.258320\pi\)
\(38\) 4.24259 + 2.87177i 0.688238 + 0.465862i
\(39\) 2.86798 14.0366i 0.459245 2.24765i
\(40\) 0.0383568 2.39771i 0.00606474 0.379111i
\(41\) −4.15699 + 0.373370i −0.649213 + 0.0583106i −0.409180 0.912454i \(-0.634185\pi\)
−0.240034 + 0.970765i \(0.577159\pi\)
\(42\) −5.86189 + 18.2795i −0.904509 + 2.82059i
\(43\) 2.76454 3.78974i 0.421588 0.577930i −0.543647 0.839314i \(-0.682957\pi\)
0.965235 + 0.261384i \(0.0841789\pi\)
\(44\) −1.17328 + 1.00891i −0.176878 + 0.152098i
\(45\) −8.36843 + 0.321423i −1.24749 + 0.0479149i
\(46\) −5.50252 + 1.21629i −0.811303 + 0.179332i
\(47\) −0.834942 + 2.78650i −0.121789 + 0.406452i −0.997010 0.0772702i \(-0.975380\pi\)
0.875221 + 0.483723i \(0.160716\pi\)
\(48\) 1.69775 + 7.13698i 0.245049 + 1.03013i
\(49\) −4.29373 + 4.89738i −0.613390 + 0.699626i
\(50\) 4.27870 + 0.329167i 0.605100 + 0.0465512i
\(51\) 12.0872 1.16365i 1.69255 0.162944i
\(52\) −0.941705 + 13.9960i −0.130591 + 1.94089i
\(53\) 5.11765 + 4.69365i 0.702963 + 0.644722i 0.945576 0.325401i \(-0.105499\pi\)
−0.242613 + 0.970123i \(0.578004\pi\)
\(54\) −0.783709 + 0.232100i −0.106649 + 0.0315848i
\(55\) −1.02192 1.34585i −0.137795 0.181474i
\(56\) 0.581610 3.27127i 0.0777209 0.437142i
\(57\) −2.38702 + 5.54818i −0.316168 + 0.734875i
\(58\) 7.12140 9.50444i 0.935086 1.24799i
\(59\) −4.82526 + 0.371214i −0.628195 + 0.0483280i −0.386897 0.922123i \(-0.626453\pi\)
−0.241298 + 0.970451i \(0.577573\pi\)
\(60\) 15.7550 2.74918i 2.03397 0.354917i
\(61\) −2.42294 + 2.05668i −0.310225 + 0.263331i −0.788711 0.614764i \(-0.789251\pi\)
0.478485 + 0.878095i \(0.341186\pi\)
\(62\) 4.38941 + 1.20881i 0.557455 + 0.153519i
\(63\) −11.5178 1.40714i −1.45110 0.177283i
\(64\) −3.95182 10.2523i −0.493977 1.28154i
\(65\) −15.1937 1.95498i −1.88455 0.242485i
\(66\) −2.60331 2.07023i −0.320445 0.254828i
\(67\) −10.3601 8.90875i −1.26569 1.08838i −0.991957 0.126572i \(-0.959603\pi\)
−0.273734 0.961805i \(-0.588259\pi\)
\(68\) −11.5757 + 2.71454i −1.40376 + 0.329186i
\(69\) −2.62567 6.10288i −0.316093 0.734701i
\(70\) 19.9537 + 4.81409i 2.38492 + 0.575394i
\(71\) −1.12250 0.916337i −0.133216 0.108749i 0.563432 0.826163i \(-0.309481\pi\)
−0.696648 + 0.717413i \(0.745326\pi\)
\(72\) 2.60239 1.16932i 0.306695 0.137805i
\(73\) 1.77313 1.26757i 0.207529 0.148357i −0.473042 0.881040i \(-0.656844\pi\)
0.680570 + 0.732683i \(0.261732\pi\)
\(74\) −1.72396 21.5091i −0.200406 2.50038i
\(75\) 0.565307 + 5.02756i 0.0652760 + 0.580533i
\(76\) 1.58841 5.69654i 0.182203 0.653438i
\(77\) −1.10083 2.06646i −0.125451 0.235495i
\(78\) −29.9295 + 3.65653i −3.38885 + 0.414020i
\(79\) 3.35650 + 0.497546i 0.377635 + 0.0559783i 0.332753 0.943014i \(-0.392022\pi\)
0.0448822 + 0.998992i \(0.485709\pi\)
\(80\) 7.47727 2.37146i 0.835984 0.265137i
\(81\) 3.90278 + 7.55774i 0.433642 + 0.839749i
\(82\) 3.52313 + 8.04666i 0.389065 + 0.888605i
\(83\) −13.3298 4.13396i −1.46314 0.453761i −0.541135 0.840936i \(-0.682005\pi\)
−0.922006 + 0.387175i \(0.873451\pi\)
\(84\) 22.1574 0.283557i 2.41757 0.0309387i
\(85\) −2.19104 12.7981i −0.237651 1.38815i
\(86\) −9.41069 2.98466i −1.01478 0.321844i
\(87\) 12.5815 + 6.14415i 1.34888 + 0.658722i
\(88\) 0.494527 + 0.294731i 0.0527168 + 0.0314184i
\(89\) −5.67944 + 3.73928i −0.602019 + 0.396363i −0.813961 0.580919i \(-0.802693\pi\)
0.211942 + 0.977282i \(0.432021\pi\)
\(90\) 6.23383 + 16.4862i 0.657104 + 1.73780i
\(91\) −20.3515 6.02720i −2.13341 0.631822i
\(92\) 3.34820 + 5.57728i 0.349074 + 0.581471i
\(93\) −0.428832 + 5.35035i −0.0444678 + 0.554805i
\(94\) 6.11902 0.195825i 0.631128 0.0201978i
\(95\) 6.10410 + 2.10934i 0.626267 + 0.216413i
\(96\) 16.9170 10.5275i 1.72658 1.07446i
\(97\) 12.2301 + 0.626567i 1.24178 + 0.0636183i 0.660964 0.750418i \(-0.270148\pi\)
0.580814 + 0.814036i \(0.302734\pi\)
\(98\) 12.6431 + 5.29629i 1.27715 + 0.535006i
\(99\) 0.933887 1.78044i 0.0938591 0.178941i
\(100\) −1.20797 4.80414i −0.120797 0.480414i
\(101\) 0.977724 0.708448i 0.0972872 0.0704932i −0.537046 0.843553i \(-0.680460\pi\)
0.634333 + 0.773060i \(0.281275\pi\)
\(102\) −10.3999 23.3450i −1.02974 2.31150i
\(103\) −2.83073 + 1.10154i −0.278920 + 0.108538i −0.498022 0.867165i \(-0.665940\pi\)
0.219101 + 0.975702i \(0.429687\pi\)
\(104\) 5.04881 1.32114i 0.495077 0.129548i
\(105\) −1.16082 + 24.1713i −0.113284 + 2.35888i
\(106\) 5.94721 13.3500i 0.577644 1.29667i
\(107\) 1.18734 + 5.62729i 0.114784 + 0.544010i 0.997281 + 0.0736918i \(0.0234781\pi\)
−0.882497 + 0.470319i \(0.844139\pi\)
\(108\) 0.541311 + 0.772779i 0.0520876 + 0.0743607i
\(109\) 11.0432 13.0945i 1.05775 1.25423i 0.0917235 0.995785i \(-0.470762\pi\)
0.966027 0.258442i \(-0.0832091\pi\)
\(110\) −2.00301 + 2.93884i −0.190980 + 0.280208i
\(111\) 24.5262 6.75433i 2.32792 0.641092i
\(112\) 10.7512 1.59369i 1.01589 0.150590i
\(113\) 0.908979 0.443899i 0.0855095 0.0417585i −0.395567 0.918437i \(-0.629452\pi\)
0.481076 + 0.876679i \(0.340246\pi\)
\(114\) 12.6678 + 1.05612i 1.18644 + 0.0989151i
\(115\) −6.30158 + 3.27969i −0.587626 + 0.305832i
\(116\) −13.0138 4.31145i −1.20830 0.400308i
\(117\) −5.56545 17.3551i −0.514526 1.60448i
\(118\) 3.96541 + 9.38176i 0.365045 + 0.863661i
\(119\) −0.172661 17.9896i −0.0158278 1.64910i
\(120\) −2.83102 5.23338i −0.258436 0.477740i
\(121\) −10.5077 + 1.35203i −0.955244 + 0.122912i
\(122\) 5.72372 + 3.46107i 0.518202 + 0.313351i
\(123\) −8.53871 + 5.85978i −0.769909 + 0.528359i
\(124\) −0.285685 5.24773i −0.0256553 0.471260i
\(125\) −7.72100 + 1.44932i −0.690588 + 0.129631i
\(126\) 4.88873 + 23.9265i 0.435523 + 2.13155i
\(127\) 2.67754 6.44955i 0.237593 0.572305i −0.759329 0.650707i \(-0.774473\pi\)
0.996922 + 0.0784018i \(0.0249817\pi\)
\(128\) −5.44356 + 4.50213i −0.481147 + 0.397936i
\(129\) 1.37452 11.5578i 0.121020 1.01761i
\(130\) 6.25192 + 31.6288i 0.548330 + 2.77403i
\(131\) 5.97727 3.06245i 0.522237 0.267568i −0.174799 0.984604i \(-0.555928\pi\)
0.697036 + 0.717037i \(0.254502\pi\)
\(132\) −1.31190 + 3.60840i −0.114186 + 0.314071i
\(133\) 7.88406 + 4.23237i 0.683634 + 0.366993i
\(134\) −10.8560 + 26.6293i −0.937812 + 2.30042i
\(135\) −0.878272 + 0.538786i −0.0755896 + 0.0463713i
\(136\) 2.32510 + 3.76307i 0.199375 + 0.322680i
\(137\) 6.51097 11.5028i 0.556270 0.982755i −0.440127 0.897936i \(-0.645067\pi\)
0.996396 0.0848191i \(-0.0270312\pi\)
\(138\) −10.4250 + 9.31845i −0.887431 + 0.793239i
\(139\) 5.05664 + 9.64038i 0.428898 + 0.817686i 0.999995 0.00319652i \(-0.00101748\pi\)
−0.571097 + 0.820883i \(0.693482\pi\)
\(140\) −2.04411 23.6059i −0.172759 1.99506i
\(141\) 1.58034 + 7.04252i 0.133089 + 0.593087i
\(142\) −1.07862 + 2.85254i −0.0905154 + 0.239380i
\(143\) 2.22400 2.92897i 0.185980 0.244933i
\(144\) 6.33012 + 6.85778i 0.527510 + 0.571482i
\(145\) 5.56299 13.8996i 0.461981 1.15430i
\(146\) −3.71462 2.69158i −0.307424 0.222756i
\(147\) −3.33636 + 15.8124i −0.275178 + 1.30418i
\(148\) −22.9120 + 9.77078i −1.88336 + 0.803154i
\(149\) −5.89568 + 22.8287i −0.482993 + 1.87020i 0.00962505 + 0.999954i \(0.496936\pi\)
−0.492618 + 0.870246i \(0.663960\pi\)
\(150\) 9.65580 4.48796i 0.788393 0.366440i
\(151\) 20.6140 + 7.42002i 1.67755 + 0.603833i 0.992230 0.124414i \(-0.0397050\pi\)
0.685316 + 0.728246i \(0.259664\pi\)
\(152\) −2.19729 + 0.112571i −0.178224 + 0.00913071i
\(153\) 12.6809 8.82232i 1.02519 0.713242i
\(154\) −3.38841 + 3.57789i −0.273046 + 0.288315i
\(155\) 5.73920 + 0.0367219i 0.460984 + 0.00294958i
\(156\) 14.9725 + 31.4208i 1.19876 + 2.51568i
\(157\) 10.1224 10.9661i 0.807853 0.875193i −0.186375 0.982479i \(-0.559674\pi\)
0.994228 + 0.107285i \(0.0342158\pi\)
\(158\) −1.25008 7.03110i −0.0994513 0.559364i
\(159\) 16.7749 + 3.93376i 1.33034 + 0.311968i
\(160\) −12.5561 17.2124i −0.992644 1.36076i
\(161\) −9.34348 + 3.09548i −0.736369 + 0.243958i
\(162\) 12.4750 12.8394i 0.980127 1.00876i
\(163\) 3.42681 + 0.873313i 0.268408 + 0.0684032i 0.378778 0.925487i \(-0.376344\pi\)
−0.110370 + 0.993891i \(0.535204\pi\)
\(164\) 7.51657 6.80578i 0.586946 0.531442i
\(165\) −3.84627 1.66940i −0.299432 0.129963i
\(166\) 0.657721 + 29.3652i 0.0510490 + 2.27918i
\(167\) 0.915395 4.96414i 0.0708354 0.384136i −0.929064 0.369920i \(-0.879385\pi\)
0.999899 0.0142163i \(-0.00452533\pi\)
\(168\) −2.71751 7.78330i −0.209660 0.600495i
\(169\) −2.91792 20.1283i −0.224455 1.54833i
\(170\) −24.0771 + 12.9253i −1.84663 + 0.991322i
\(171\) 0.809683 + 7.64090i 0.0619180 + 0.584315i
\(172\) 0.182288 + 11.3950i 0.0138993 + 0.868857i
\(173\) −11.4020 2.14029i −0.866879 0.162723i −0.267860 0.963458i \(-0.586316\pi\)
−0.599019 + 0.800735i \(0.704443\pi\)
\(174\) 3.85415 29.2150i 0.292182 2.21478i
\(175\) 7.49296 0.191812i 0.566415 0.0144997i
\(176\) −0.400569 + 1.84010i −0.0301940 + 0.138703i
\(177\) −9.98692 + 6.66727i −0.750663 + 0.501143i
\(178\) 11.2579 + 8.83569i 0.843818 + 0.662263i
\(179\) −20.5580 + 9.87706i −1.53658 + 0.738246i −0.994759 0.102251i \(-0.967396\pi\)
−0.541817 + 0.840497i \(0.682263\pi\)
\(180\) 15.7610 12.8663i 1.17475 0.958996i
\(181\) −2.31698 + 4.63127i −0.172220 + 0.344239i −0.963714 0.266938i \(-0.913988\pi\)
0.791494 + 0.611177i \(0.209304\pi\)
\(182\) 1.57170 + 44.6435i 0.116502 + 3.30920i
\(183\) −2.74180 + 7.39371i −0.202680 + 0.546558i
\(184\) 1.57205 1.84004i 0.115893 0.135650i
\(185\) −9.13060 25.6233i −0.671295 1.88386i
\(186\) 10.9643 2.71964i 0.803944 0.199414i
\(187\) 2.92612 + 1.07445i 0.213979 + 0.0785719i
\(188\) −2.45716 6.62613i −0.179207 0.483260i
\(189\) −1.32026 + 0.543161i −0.0960346 + 0.0395091i
\(190\) 0.130450 13.5916i 0.00946386 0.986041i
\(191\) −13.4062 + 7.08668i −0.970038 + 0.512774i −0.875747 0.482770i \(-0.839631\pi\)
−0.0942907 + 0.995545i \(0.530058\pi\)
\(192\) −21.0086 17.3753i −1.51616 1.25395i
\(193\) 6.05195 5.76828i 0.435629 0.415210i −0.440149 0.897925i \(-0.645074\pi\)
0.875777 + 0.482715i \(0.160349\pi\)
\(194\) −6.92255 24.8265i −0.497010 1.78244i
\(195\) −35.2432 + 14.2363i −2.52382 + 1.01948i
\(196\) 1.16325 15.7805i 0.0830890 1.12718i
\(197\) 3.67916 + 0.987930i 0.262129 + 0.0703871i 0.387999 0.921660i \(-0.373166\pi\)
−0.125870 + 0.992047i \(0.540172\pi\)
\(198\) −4.17733 0.673959i −0.296870 0.0478962i
\(199\) 6.02867 + 9.35087i 0.427361 + 0.662865i 0.986038 0.166520i \(-0.0532530\pi\)
−0.558677 + 0.829385i \(0.688691\pi\)
\(200\) −1.55213 + 0.993670i −0.109752 + 0.0702630i
\(201\) −33.2382 6.68061i −2.34444 0.471214i
\(202\) −2.06724 1.47782i −0.145451 0.103979i
\(203\) 10.6769 17.7850i 0.749368 1.24826i
\(204\) −21.7417 + 19.9404i −1.52223 + 1.39611i
\(205\) 6.91995 + 8.64487i 0.483310 + 0.603784i
\(206\) 4.09004 + 4.91321i 0.284967 + 0.342320i
\(207\) −6.71492 5.13266i −0.466719 0.356745i
\(208\) 9.34209 + 14.2886i 0.647757 + 0.990737i
\(209\) −1.16909 + 1.01839i −0.0808674 + 0.0704434i
\(210\) 49.0148 13.8363i 3.38234 0.954795i
\(211\) 3.71394 22.5605i 0.255678 1.55313i −0.480899 0.876776i \(-0.659690\pi\)
0.736577 0.676353i \(-0.236441\pi\)
\(212\) −16.7928 1.61666i −1.15333 0.111033i
\(213\) −3.54185 0.618035i −0.242684 0.0423471i
\(214\) 10.4370 6.13013i 0.713458 0.419047i
\(215\) −12.4331 0.557231i −0.847929 0.0380029i
\(216\) 0.208679 0.282255i 0.0141988 0.0192050i
\(217\) 7.84232 + 1.31680i 0.532372 + 0.0893900i
\(218\) −33.5128 13.2885i −2.26977 0.900010i
\(219\) 2.29515 4.89694i 0.155092 0.330905i
\(220\) 3.95104 + 1.11533i 0.266379 + 0.0751956i
\(221\) 25.5483 12.0741i 1.71856 0.812190i
\(222\) −29.8698 44.4336i −2.00473 2.98219i
\(223\) −5.81658 7.86739i −0.389507 0.526839i 0.564974 0.825108i \(-0.308886\pi\)
−0.954482 + 0.298269i \(0.903591\pi\)
\(224\) −13.3764 26.3151i −0.893749 1.75825i
\(225\) 3.75972 + 5.22385i 0.250648 + 0.348257i
\(226\) −1.49334 1.51742i −0.0993353 0.100937i
\(227\) −9.87279 + 16.6867i −0.655280 + 1.10753i 0.331186 + 0.943566i \(0.392551\pi\)
−0.986466 + 0.163967i \(0.947571\pi\)
\(228\) −3.48709 14.2533i −0.230938 0.943947i
\(229\) −5.82366 26.7522i −0.384838 1.76783i −0.608887 0.793257i \(-0.708384\pi\)
0.224049 0.974578i \(-0.428072\pi\)
\(230\) 10.7565 + 10.3844i 0.709261 + 0.684730i
\(231\) −4.89275 3.13233i −0.321919 0.206092i
\(232\) 0.0163171 + 5.10039i 0.00107127 + 0.334857i
\(233\) −16.0517 9.84711i −1.05158 0.645106i −0.114219 0.993456i \(-0.536437\pi\)
−0.937365 + 0.348350i \(0.886742\pi\)
\(234\) −30.9166 + 22.7049i −2.02108 + 1.48427i
\(235\) 7.38576 2.23883i 0.481794 0.146045i
\(236\) 8.81587 7.77926i 0.573864 0.506386i
\(237\) 7.86551 3.00294i 0.510920 0.195062i
\(238\) −35.7866 + 12.3664i −2.31970 + 0.801598i
\(239\) 3.92619 4.84104i 0.253964 0.313141i −0.633749 0.773539i \(-0.718485\pi\)
0.887713 + 0.460398i \(0.152293\pi\)
\(240\) 13.2928 14.2173i 0.858050 0.917723i
\(241\) 7.96007 0.0509320i 0.512753 0.00328082i 0.250192 0.968196i \(-0.419506\pi\)
0.262561 + 0.964915i \(0.415433\pi\)
\(242\) 9.72022 + 20.0668i 0.624840 + 1.28994i
\(243\) 18.6008 + 12.2466i 1.19324 + 0.785617i
\(244\) 1.69059 7.53380i 0.108229 0.482302i
\(245\) 17.1242 + 2.31485i 1.09403 + 0.147891i
\(246\) 17.4006 + 13.1249i 1.10942 + 0.836814i
\(247\) −0.853807 + 14.0292i −0.0543265 + 0.892656i
\(248\) −1.81757 + 0.720704i −0.115416 + 0.0457648i
\(249\) −33.8595 + 7.25745i −2.14576 + 0.459922i
\(250\) 8.05214 + 14.4404i 0.509262 + 0.913290i
\(251\) 7.07709 + 23.6188i 0.446702 + 1.49080i 0.825007 + 0.565122i \(0.191171\pi\)
−0.378305 + 0.925681i \(0.623493\pi\)
\(252\) 24.3982 14.1210i 1.53694 0.889542i
\(253\) 0.0709082 1.70398i 0.00445796 0.107128i
\(254\) −14.6608 1.03356i −0.919899 0.0648514i
\(255\) −20.2935 25.0222i −1.27083 1.56695i
\(256\) −6.03478 3.75545i −0.377173 0.234716i
\(257\) 10.5644 + 7.34978i 0.658987 + 0.458467i 0.852567 0.522618i \(-0.175044\pi\)
−0.193580 + 0.981085i \(0.562010\pi\)
\(258\) −23.9847 + 4.98060i −1.49322 + 0.310078i
\(259\) −6.83467 37.0641i −0.424686 2.30305i
\(260\) 32.3295 18.4363i 2.00499 1.14337i
\(261\) 17.7827 1.02515i 1.10072 0.0634554i
\(262\) −10.1062 9.88238i −0.624363 0.610535i
\(263\) 5.26675 21.5276i 0.324762 1.32745i −0.546841 0.837236i \(-0.684170\pi\)
0.871603 0.490212i \(-0.163081\pi\)
\(264\) 1.42796 + 0.0365544i 0.0878850 + 0.00224977i
\(265\) 2.87625 18.1976i 0.176687 1.11787i
\(266\) 3.17794 18.5627i 0.194852 1.13815i
\(267\) −7.74140 + 14.9912i −0.473766 + 0.917449i
\(268\) 33.1276 + 2.12252i 2.02359 + 0.129653i
\(269\) 16.2100 18.2520i 0.988342 1.11285i −0.00526877 0.999986i \(-0.501677\pi\)
0.993611 0.112860i \(-0.0360011\pi\)
\(270\) 1.66218 + 1.39273i 0.101157 + 0.0847586i
\(271\) 18.0776 + 0.347043i 1.09813 + 0.0210813i 0.565107 0.825017i \(-0.308835\pi\)
0.533026 + 0.846099i \(0.321055\pi\)
\(272\) −9.25760 + 11.1208i −0.561324 + 0.674297i
\(273\) −51.3496 + 11.6955i −3.10782 + 0.707845i
\(274\) −27.3075 5.30703i −1.64971 0.320609i
\(275\) −0.428097 + 1.22613i −0.0258152 + 0.0739383i
\(276\) 14.0211 + 7.99570i 0.843970 + 0.481285i
\(277\) −14.8027 7.34657i −0.889411 0.441413i −0.0588022 0.998270i \(-0.518728\pi\)
−0.830608 + 0.556857i \(0.812007\pi\)
\(278\) 15.8602 16.5340i 0.951234 0.991642i
\(279\) 2.85824 + 6.20131i 0.171118 + 0.371263i
\(280\) −8.08633 + 3.50972i −0.483251 + 0.209746i
\(281\) −9.79742 + 21.6195i −0.584465 + 1.28971i 0.351027 + 0.936365i \(0.385832\pi\)
−0.935492 + 0.353347i \(0.885043\pi\)
\(282\) 12.9988 7.86021i 0.774065 0.468069i
\(283\) −15.6872 + 12.4750i −0.932509 + 0.741562i −0.966179 0.257871i \(-0.916979\pi\)
0.0336702 + 0.999433i \(0.489280\pi\)
\(284\) 3.51775 + 0.135113i 0.208740 + 0.00801750i
\(285\) 15.7680 2.85552i 0.934017 0.169146i
\(286\) −7.33162 2.48112i −0.433528 0.146712i
\(287\) 7.55771 + 13.3521i 0.446118 + 0.788151i
\(288\) 12.2029 22.2173i 0.719065 1.30916i
\(289\) 4.68197 + 5.13782i 0.275410 + 0.302225i
\(290\) −31.4572 1.81347i −1.84723 0.106491i
\(291\) 27.2178 13.5082i 1.59554 0.791862i
\(292\) −1.58469 + 5.05259i −0.0927368 + 0.295680i
\(293\) −9.46209 2.47597i −0.552781 0.144648i −0.0337926 0.999429i \(-0.510759\pi\)
−0.518989 + 0.854781i \(0.673691\pi\)
\(294\) 33.7866 3.90851i 1.97047 0.227949i
\(295\) 7.89488 + 10.1257i 0.459658 + 0.589543i
\(296\) 6.15360 + 6.92879i 0.357671 + 0.402727i
\(297\) −0.00712117 0.247258i −0.000413212 0.0143474i
\(298\) 49.4994 3.48963i 2.86743 0.202149i
\(299\) −10.5588 11.2931i −0.610631 0.653097i
\(300\) −8.45169 8.92431i −0.487958 0.515245i
\(301\) −16.8837 3.50603i −0.973163 0.202084i
\(302\) 1.03251 46.0983i 0.0594142 2.65266i
\(303\) 1.25403 2.72078i 0.0720423 0.156305i
\(304\) −2.63146 6.69884i −0.150924 0.384205i
\(305\) 8.10001 + 2.34260i 0.463805 + 0.134137i
\(306\) −26.0811 19.4119i −1.49096 1.10970i
\(307\) 4.54305 + 4.49966i 0.259286 + 0.256809i 0.821534 0.570159i \(-0.193118\pi\)
−0.562248 + 0.826968i \(0.690064\pi\)
\(308\) 5.15833 + 2.39756i 0.293923 + 0.136614i
\(309\) −4.78476 + 5.82312i −0.272196 + 0.331266i
\(310\) −3.76205 11.4783i −0.213670 0.651926i
\(311\) −6.34942 4.23887i −0.360042 0.240364i 0.362054 0.932157i \(-0.382076\pi\)
−0.722096 + 0.691793i \(0.756821\pi\)
\(312\) 9.31606 8.99385i 0.527418 0.509177i
\(313\) −12.6800 + 2.54858i −0.716718 + 0.144054i −0.541774 0.840524i \(-0.682247\pi\)
−0.174944 + 0.984578i \(0.555974\pi\)
\(314\) −28.6498 12.8730i −1.61680 0.726466i
\(315\) 13.7740 + 27.5319i 0.776075 + 1.55125i
\(316\) −7.23808 + 3.94546i −0.407174 + 0.221950i
\(317\) 29.2316 + 14.7414i 1.64181 + 0.827961i 0.998029 + 0.0627510i \(0.0199874\pi\)
0.643781 + 0.765210i \(0.277365\pi\)
\(318\) −3.35949 36.1067i −0.188391 2.02476i
\(319\) 2.22809 + 2.82028i 0.124749 + 0.157906i
\(320\) −16.8772 + 23.7689i −0.943463 + 1.32872i
\(321\) 9.40746 + 10.7300i 0.525073 + 0.598892i
\(322\) 12.4216 + 16.5783i 0.692231 + 0.923872i
\(323\) −11.5808 + 2.79402i −0.644373 + 0.155464i
\(324\) −18.6266 8.94911i −1.03481 0.497173i
\(325\) 5.20009 + 10.5625i 0.288449 + 0.585901i
\(326\) −0.547146 7.42253i −0.0303036 0.411096i
\(327\) 7.97481 41.7474i 0.441008 2.30864i
\(328\) −3.28892 1.84776i −0.181600 0.102025i
\(329\) 10.5968 1.43247i 0.584219 0.0789747i
\(330\) −0.761300 + 8.79167i −0.0419082 + 0.483966i
\(331\) −2.49915 + 1.04691i −0.137366 + 0.0575435i −0.453985 0.891009i \(-0.649998\pi\)
0.316619 + 0.948553i \(0.397452\pi\)
\(332\) 31.9022 11.4832i 1.75086 0.630221i
\(333\) 22.9935 22.7738i 1.26003 1.24800i
\(334\) −10.5187 + 1.49051i −0.575559 + 0.0815573i
\(335\) −4.51130 + 35.9697i −0.246478 + 1.96523i
\(336\) 21.3203 16.5137i 1.16312 0.900898i
\(337\) 15.7188 + 25.0798i 0.856255 + 1.36618i 0.929481 + 0.368869i \(0.120255\pi\)
−0.0732264 + 0.997315i \(0.523330\pi\)
\(338\) −38.2204 + 19.2744i −2.07891 + 1.04839i
\(339\) 1.42684 2.06495i 0.0774951 0.112153i
\(340\) 22.9731 + 21.6174i 1.24589 + 1.17237i
\(341\) −0.694005 + 1.19030i −0.0375825 + 0.0644582i
\(342\) 14.7080 6.72208i 0.795316 0.363488i
\(343\) −1.71288 0.519223i −0.0924870 0.0280354i
\(344\) 3.99843 1.41040i 0.215581 0.0760439i
\(345\) −9.64580 + 14.7531i −0.519313 + 0.794283i
\(346\) 3.34821 + 24.1854i 0.180001 + 1.30022i
\(347\) 21.3495 9.42911i 1.14610 0.506181i 0.258142 0.966107i \(-0.416890\pi\)
0.887958 + 0.459926i \(0.152124\pi\)
\(348\) −33.3915 + 6.48942i −1.78997 + 0.347869i
\(349\) −2.78106 + 19.1842i −0.148867 + 1.02691i 0.771606 + 0.636101i \(0.219454\pi\)
−0.920473 + 0.390807i \(0.872196\pi\)
\(350\) −5.39012 14.8256i −0.288114 0.792463i
\(351\) −1.64285 1.52621i −0.0876890 0.0814630i
\(352\) 5.08458 0.555252i 0.271009 0.0295950i
\(353\) −13.0847 + 13.1266i −0.696427 + 0.698658i −0.964305 0.264795i \(-0.914696\pi\)
0.267878 + 0.963453i \(0.413677\pi\)
\(354\) 19.9799 + 15.4755i 1.06192 + 0.822514i
\(355\) −0.380644 + 3.82553i −0.0202025 + 0.203038i
\(356\) 5.54520 15.5615i 0.293895 0.824760i
\(357\) −22.2367 38.7054i −1.17689 2.04851i
\(358\) 33.4501 + 34.4273i 1.76789 + 1.81954i
\(359\) −5.26961 2.74259i −0.278119 0.144748i 0.316902 0.948458i \(-0.397357\pi\)
−0.595021 + 0.803710i \(0.702856\pi\)
\(360\) −6.40089 4.04033i −0.337356 0.212944i
\(361\) −3.43105 + 12.6163i −0.180582 + 0.664017i
\(362\) 10.7911 + 1.52910i 0.567165 + 0.0803678i
\(363\) −21.0872 + 15.6950i −1.10679 + 0.823773i
\(364\) 48.2909 18.0836i 2.53113 0.947838i
\(365\) −5.40241 2.06256i −0.282775 0.107959i
\(366\) 16.5880 + 0.530860i 0.867068 + 0.0277485i
\(367\) −3.52443 + 31.3446i −0.183974 + 1.63617i 0.472149 + 0.881519i \(0.343478\pi\)
−0.656123 + 0.754654i \(0.727805\pi\)
\(368\) 7.34046 + 2.96513i 0.382648 + 0.154568i
\(369\) −5.81903 + 11.8197i −0.302927 + 0.615308i
\(370\) −45.0350 + 35.3453i −2.34126 + 1.83752i
\(371\) 7.95028 24.2570i 0.412758 1.25936i
\(372\) −6.99570 11.0048i −0.362710 0.570571i
\(373\) −0.881380 21.1802i −0.0456361 1.09667i −0.858042 0.513579i \(-0.828319\pi\)
0.812406 0.583092i \(-0.198157\pi\)
\(374\) 0.188866 6.55773i 0.00976604 0.339092i
\(375\) −14.9408 + 12.5187i −0.771540 + 0.646464i
\(376\) −2.04733 + 1.64960i −0.105583 + 0.0850715i
\(377\) 32.3899 + 3.53707i 1.66816 + 0.182169i
\(378\) 1.96628 + 2.27188i 0.101135 + 0.116853i
\(379\) −31.8115 + 9.86564i −1.63405 + 0.506764i −0.970445 0.241322i \(-0.922419\pi\)
−0.663601 + 0.748086i \(0.730973\pi\)
\(380\) −14.9253 + 4.83896i −0.765651 + 0.248234i
\(381\) −2.04622 17.2059i −0.104831 0.881483i
\(382\) 23.1019 + 22.0191i 1.18200 + 1.12660i
\(383\) 3.30714 6.20812i 0.168987 0.317220i −0.783718 0.621117i \(-0.786679\pi\)
0.952705 + 0.303897i \(0.0982880\pi\)
\(384\) −6.30404 + 16.3548i −0.321702 + 0.834601i
\(385\) −2.95564 + 5.46375i −0.150634 + 0.278458i
\(386\) −15.5562 8.22319i −0.791788 0.418549i
\(387\) −5.67733 13.6753i −0.288595 0.695157i
\(388\) −24.6379 + 16.6771i −1.25080 + 0.846653i
\(389\) −11.7592 + 4.31790i −0.596214 + 0.218926i −0.624955 0.780661i \(-0.714883\pi\)
0.0287413 + 0.999587i \(0.490850\pi\)
\(390\) 51.9635 + 60.8218i 2.63128 + 3.07983i
\(391\) 6.52784 11.3625i 0.330127 0.574624i
\(392\) −5.70454 + 1.45379i −0.288123 + 0.0734273i
\(393\) 9.20825 13.8891i 0.464495 0.700611i
\(394\) −0.487042 8.00275i −0.0245368 0.403173i
\(395\) −3.82055 8.15155i −0.192233 0.410149i
\(396\) 0.793401 + 4.81955i 0.0398699 + 0.242192i
\(397\) −0.363179 5.39770i −0.0182274 0.270903i −0.997621 0.0689407i \(-0.978038\pi\)
0.979393 0.201962i \(-0.0647318\pi\)
\(398\) 14.6329 18.2804i 0.733480 0.916313i
\(399\) 22.1986 0.426157i 1.11132 0.0213345i
\(400\) −4.69441 3.78243i −0.234720 0.189122i
\(401\) −11.1000 11.1356i −0.554309 0.556085i 0.374222 0.927339i \(-0.377910\pi\)
−0.928531 + 0.371254i \(0.878928\pi\)
\(402\) 8.87950 + 70.7985i 0.442869 + 3.53111i
\(403\) 3.27778 + 12.0527i 0.163278 + 0.600389i
\(404\) −0.859924 + 2.80448i −0.0427828 + 0.139528i
\(405\) 10.9906 19.7101i 0.546127 0.979401i
\(406\) −42.6288 9.42277i −2.11563 0.467644i
\(407\) 6.42576 + 1.16368i 0.318513 + 0.0576813i
\(408\) 9.60304 + 5.31458i 0.475421 + 0.263111i
\(409\) 12.1065 13.4571i 0.598626 0.665412i −0.365514 0.930806i \(-0.619107\pi\)
0.964140 + 0.265394i \(0.0855020\pi\)
\(410\) 12.6283 19.5873i 0.623667 0.967350i
\(411\) 0.104921 32.7961i 0.00517537 1.61771i
\(412\) 3.87890 6.27782i 0.191099 0.309286i
\(413\) 8.56448 + 15.5929i 0.421430 + 0.767277i
\(414\) −5.75594 + 16.8311i −0.282889 + 0.827202i
\(415\) 10.4008 + 35.5365i 0.510554 + 1.74442i
\(416\) 28.7433 36.3829i 1.40926 1.78382i
\(417\) 22.6548 + 14.7088i 1.10941 + 0.720291i
\(418\) 2.81368 + 1.65260i 0.137621 + 0.0808315i
\(419\) 28.5998 + 24.2766i 1.39719 + 1.18599i 0.957710 + 0.287736i \(0.0929026\pi\)
0.439480 + 0.898252i \(0.355163\pi\)
\(420\) −33.1107 48.5804i −1.61564 2.37048i
\(421\) −8.63363 0.886958i −0.420778 0.0432277i −0.110506 0.993876i \(-0.535247\pi\)
−0.310272 + 0.950648i \(0.600420\pi\)
\(422\) −47.5062 + 7.66453i −2.31257 + 0.373103i
\(423\) 6.14104 + 6.82617i 0.298588 + 0.331900i
\(424\) 1.41341 + 6.11522i 0.0686414 + 0.296981i
\(425\) −7.26728 + 6.83844i −0.352515 + 0.331713i
\(426\) 1.13349 + 7.48153i 0.0549177 + 0.362481i
\(427\) 10.5627 + 4.99191i 0.511165 + 0.241576i
\(428\) −10.5355 9.17750i −0.509255 0.443611i
\(429\) 1.25133 9.03888i 0.0604150 0.436401i
\(430\) 7.19657 + 25.1852i 0.347049 + 1.21454i
\(431\) 1.60482 8.11887i 0.0773014 0.391072i −0.922683 0.385559i \(-0.874009\pi\)
0.999985 0.00551342i \(-0.00175498\pi\)
\(432\) 1.09227 + 0.354129i 0.0525521 + 0.0170380i
\(433\) −9.43807 0.120783i −0.453565 0.00580446i −0.214320 0.976764i \(-0.568753\pi\)
−0.239245 + 0.970959i \(0.576900\pi\)
\(434\) −2.61283 16.5310i −0.125420 0.793514i
\(435\) −4.85857 36.8286i −0.232951 1.76580i
\(436\) −2.26218 + 41.5538i −0.108339 + 1.99007i
\(437\) 3.39046 + 5.56664i 0.162188 + 0.266289i
\(438\) −11.3067 1.30798i −0.540254 0.0624978i
\(439\) 20.3427 + 7.91606i 0.970906 + 0.377813i 0.795010 0.606596i \(-0.207465\pi\)
0.175895 + 0.984409i \(0.443718\pi\)
\(440\) −0.0732673 1.52562i −0.00349288 0.0727312i
\(441\) 6.15250 + 19.6165i 0.292976 + 0.934120i
\(442\) −41.1695 42.9184i −1.95824 2.04142i
\(443\) 2.59838 6.61463i 0.123453 0.314271i −0.855676 0.517512i \(-0.826858\pi\)
0.979129 + 0.203241i \(0.0651476\pi\)
\(444\) −37.6890 + 48.9819i −1.78864 + 2.32458i
\(445\) 16.5949 + 7.07685i 0.786672 + 0.335475i
\(446\) −11.8140 + 16.8658i −0.559410 + 0.798618i
\(447\) 14.9907 + 56.5486i 0.709035 + 2.67466i
\(448\) −28.3311 + 28.7880i −1.33852 + 1.36010i
\(449\) −12.4480 1.92669i −0.587457 0.0909260i −0.147683 0.989035i \(-0.547182\pi\)
−0.439774 + 0.898109i \(0.644941\pi\)
\(450\) 7.91281 10.9943i 0.373013 0.518275i
\(451\) −2.62711 + 0.406622i −0.123706 + 0.0191471i
\(452\) −1.11362 + 2.19079i −0.0523802 + 0.103046i
\(453\) 53.6103 9.00166i 2.51883 0.422935i
\(454\) 39.8995 + 8.55208i 1.87258 + 0.401369i
\(455\) 16.5083 + 53.8388i 0.773921 + 2.52400i
\(456\) −4.61641 + 2.91394i −0.216183 + 0.136458i
\(457\) −37.1634 + 3.09835i −1.73843 + 0.144935i −0.909850 0.414938i \(-0.863803\pi\)
−0.828579 + 0.559872i \(0.810850\pi\)
\(458\) −49.4980 + 29.5000i −2.31289 + 1.37845i
\(459\) 0.828565 1.71052i 0.0386741 0.0798404i
\(460\) 7.42428 15.5803i 0.346159 0.726435i
\(461\) 8.68771 + 21.7070i 0.404627 + 1.01099i 0.981035 + 0.193831i \(0.0620915\pi\)
−0.576408 + 0.817162i \(0.695546\pi\)
\(462\) −2.98156 + 11.8578i −0.138715 + 0.551674i
\(463\) −30.0448 26.8559i −1.39630 1.24810i −0.932018 0.362411i \(-0.881954\pi\)
−0.464283 0.885687i \(-0.653688\pi\)
\(464\) −15.8039 + 5.34826i −0.733678 + 0.248287i
\(465\) 12.4598 6.89556i 0.577807 0.319774i
\(466\) −8.92514 + 38.6152i −0.413449 + 1.78881i
\(467\) −4.55480 7.81199i −0.210771 0.361496i 0.739379 0.673289i \(-0.235119\pi\)
−0.950150 + 0.311794i \(0.899070\pi\)
\(468\) 36.1848 + 25.5194i 1.67264 + 1.17963i
\(469\) −14.1089 + 48.2059i −0.651487 + 2.22594i
\(470\) −9.40375 13.2437i −0.433763 0.610888i
\(471\) 8.56943 36.0241i 0.394859 1.65990i
\(472\) −3.78583 2.19114i −0.174257 0.100855i
\(473\) 1.60289 2.52147i 0.0737009 0.115937i
\(474\) −11.2493 13.6905i −0.516697 0.628827i
\(475\) −1.24111 4.80572i −0.0569462 0.220502i
\(476\) 26.6533 + 34.6395i 1.22165 + 1.58770i
\(477\) 21.0563 6.08967i 0.964102 0.278827i
\(478\) −12.2851 4.60042i −0.561907 0.210418i
\(479\) 24.6801 + 21.7781i 1.12766 + 0.995066i 0.999995 + 0.00324918i \(0.00103425\pi\)
0.127668 + 0.991817i \(0.459251\pi\)
\(480\) −48.0801 21.9744i −2.19455 1.00299i
\(481\) 48.3776 34.1184i 2.20583 1.55567i
\(482\) −5.42112 15.8520i −0.246925 0.722038i
\(483\) −16.4499 + 18.0515i −0.748498 + 0.821374i
\(484\) 18.4025 17.9949i 0.836476 0.817950i
\(485\) −16.5443 27.9627i −0.751239 1.26972i
\(486\) 12.0103 45.3058i 0.544798 2.05511i
\(487\) −17.6222 20.8955i −0.798537 0.946865i 0.200927 0.979606i \(-0.435605\pi\)
−0.999464 + 0.0327415i \(0.989576\pi\)
\(488\) −2.85752 + 0.293561i −0.129354 + 0.0132889i
\(489\) 8.47428 2.27552i 0.383220 0.102903i
\(490\) −6.82382 35.7220i −0.308269 1.61376i
\(491\) 6.81200 20.3433i 0.307421 0.918081i −0.676025 0.736879i \(-0.736299\pi\)
0.983446 0.181202i \(-0.0579987\pi\)
\(492\) 7.98872 23.8575i 0.360159 1.07558i
\(493\) 5.18180 + 27.1262i 0.233377 + 1.22170i
\(494\) 28.5688 7.67132i 1.28537 0.345149i
\(495\) −5.30615 + 0.545116i −0.238494 + 0.0245011i
\(496\) −4.12341 4.88933i −0.185147 0.219537i
\(497\) −1.36491 + 5.14879i −0.0612247 + 0.230955i
\(498\) 37.1110 + 62.7238i 1.66299 + 2.81072i
\(499\) 3.08787 3.01948i 0.138232 0.135171i −0.626755 0.779217i \(-0.715617\pi\)
0.764987 + 0.644046i \(0.222746\pi\)
\(500\) 12.8551 14.1068i 0.574900 0.630873i
\(501\) −4.05285 11.8510i −0.181068 0.529464i
\(502\) 42.4069 29.9076i 1.89271 1.33484i
\(503\) 23.6557 + 10.8115i 1.05475 + 0.482061i 0.866042 0.499971i \(-0.166656\pi\)
0.188713 + 0.982032i \(0.439569\pi\)
\(504\) −7.86387 6.93920i −0.350285 0.309096i
\(505\) −2.99996 1.12340i −0.133496 0.0499907i
\(506\) −3.44804 + 0.997205i −0.153284 + 0.0443312i
\(507\) −30.7745 39.9956i −1.36674 1.77627i
\(508\) 4.24229 + 16.4266i 0.188221 + 0.728812i
\(509\) −19.8030 24.1006i −0.877755 1.06824i −0.997154 0.0753935i \(-0.975979\pi\)
0.119399 0.992846i \(-0.461903\pi\)
\(510\) −36.3757 + 57.2217i −1.61074 + 2.53382i
\(511\) −6.93456 4.01354i −0.306767 0.177548i
\(512\) −6.73155 + 28.2980i −0.297495 + 1.25061i
\(513\) 0.547316 + 0.770810i 0.0241646 + 0.0340321i
\(514\) 7.60822 25.9951i 0.335584 1.14659i
\(515\) 6.58577 + 4.64463i 0.290204 + 0.204667i
\(516\) 14.2429 + 24.4282i 0.627009 + 1.07539i
\(517\) −0.417234 + 1.80519i −0.0183499 + 0.0793921i
\(518\) −69.4019 + 38.4088i −3.04934 + 1.68759i
\(519\) −27.2662 + 9.22725i −1.19685 + 0.405031i
\(520\) −10.3232 9.22746i −0.452700 0.404651i
\(521\) 10.1512 40.3716i 0.444730 1.76871i −0.175695 0.984445i \(-0.556217\pi\)
0.620426 0.784265i \(-0.286960\pi\)
\(522\) −13.9295 34.8041i −0.609679 1.52333i
\(523\) −8.22722 + 17.2653i −0.359751 + 0.754959i −0.999912 0.0132821i \(-0.995772\pi\)
0.640161 + 0.768241i \(0.278868\pi\)
\(524\) −7.11306 + 14.6845i −0.310736 + 0.641495i
\(525\) 15.9758 9.52132i 0.697240 0.415544i
\(526\) −46.4825 + 3.87529i −2.02673 + 0.168971i
\(527\) −8.95256 + 5.65098i −0.389979 + 0.246160i
\(528\) 1.36980 + 4.46735i 0.0596129 + 0.194416i
\(529\) 15.4789 + 3.31776i 0.672996 + 0.144250i
\(530\) −38.2393 + 6.42073i −1.66101 + 0.278899i
\(531\) −6.92210 + 13.6177i −0.300394 + 0.590957i
\(532\) −21.4836 + 3.32521i −0.931433 + 0.144166i
\(533\) −14.0776 + 19.5597i −0.609766 + 0.847225i
\(534\) 35.0916 + 5.43144i 1.51856 + 0.235041i
\(535\) 10.7028 10.8754i 0.462721 0.470183i
\(536\) −3.16460 11.9377i −0.136690 0.515628i
\(537\) −32.4675 + 46.3508i −1.40108 + 2.00019i
\(538\) −47.2585 20.1533i −2.03746 0.868870i
\(539\) −2.52978 + 3.28779i −0.108966 + 0.141615i
\(540\) 0.915242 2.32991i 0.0393858 0.100263i
\(541\) 27.9561 + 29.1436i 1.20193 + 1.25298i 0.959149 + 0.282900i \(0.0912965\pi\)
0.242777 + 0.970082i \(0.421942\pi\)
\(542\) −11.3881 36.3096i −0.489160 1.55963i
\(543\) 0.616362 + 12.8343i 0.0264506 + 0.550773i
\(544\) 36.6251 + 14.2521i 1.57029 + 0.611054i
\(545\) −45.1454 5.22252i −1.93382 0.223708i
\(546\) 57.6563 + 94.6634i 2.46746 + 4.05122i
\(547\) −1.90281 + 34.9525i −0.0813581 + 1.49446i 0.621658 + 0.783289i \(0.286459\pi\)
−0.703016 + 0.711174i \(0.748164\pi\)
\(548\) 4.19993 + 31.8361i 0.179412 + 1.35997i
\(549\) 1.56616 + 9.90885i 0.0668420 + 0.422899i
\(550\) 2.73308 + 0.0349764i 0.116539 + 0.00149140i
\(551\) −13.0667 4.23640i −0.556661 0.180477i
\(552\) 1.16444 5.89097i 0.0495619 0.250736i
\(553\) −3.42704 11.9933i −0.145733 0.510009i
\(554\) −4.76944 + 34.4515i −0.202634 + 1.46371i
\(555\) −50.8921 44.3320i −2.16025 1.88179i
\(556\) −23.9114 11.3005i −1.01407 0.479247i
\(557\) −0.610599 4.03023i −0.0258719 0.170766i 0.972087 0.234619i \(-0.0753842\pi\)
−0.997959 + 0.0638528i \(0.979661\pi\)
\(558\) 10.4660 9.84838i 0.443060 0.416915i
\(559\) −6.09942 26.3895i −0.257978 1.11616i
\(560\) −19.2858 21.4374i −0.814974 0.905897i
\(561\) 7.63564 1.23191i 0.322377 0.0520114i
\(562\) 49.6937 + 5.10517i 2.09620 + 0.215349i
\(563\) −3.93955 5.78016i −0.166032 0.243605i 0.734282 0.678844i \(-0.237519\pi\)
−0.900315 + 0.435240i \(0.856664\pi\)
\(564\) −13.3683 11.3475i −0.562906 0.477816i
\(565\) −2.31418 1.35923i −0.0973583 0.0571831i
\(566\) 35.3798 + 22.9706i 1.48713 + 0.965525i
\(567\) 19.3833 24.5351i 0.814024 1.03038i
\(568\) −0.367889 1.25697i −0.0154363 0.0527413i
\(569\) 0.893872 2.61379i 0.0374730 0.109576i −0.925875 0.377829i \(-0.876671\pi\)
0.963348 + 0.268254i \(0.0864466\pi\)
\(570\) −16.2361 29.5602i −0.680055 1.23814i
\(571\) 19.2281 31.1198i 0.804670 1.30232i −0.145113 0.989415i \(-0.546355\pi\)
0.949783 0.312908i \(-0.101303\pi\)
\(572\) −0.0285836 + 8.93463i −0.00119514 + 0.373576i
\(573\) −20.3878 + 31.6229i −0.851715 + 1.32107i
\(574\) 21.5964 24.0059i 0.901418 1.00198i
\(575\) 4.77689 + 2.64366i 0.199210 + 0.110248i
\(576\) −34.1274 6.18033i −1.42198 0.257514i
\(577\) 35.8666 + 7.92804i 1.49315 + 0.330048i 0.885680 0.464296i \(-0.153693\pi\)
0.607467 + 0.794345i \(0.292186\pi\)
\(578\) 7.12480 12.7773i 0.296353 0.531466i
\(579\) 6.08133 19.8331i 0.252731 0.824236i
\(580\) 9.54499 + 35.0979i 0.396334 + 1.45736i
\(581\) 6.38439 + 50.9043i 0.264869 + 2.11187i
\(582\) −45.1472 45.2919i −1.87141 1.87741i
\(583\) 3.44409 + 2.77501i 0.142640 + 0.114929i
\(584\) 1.96968 0.0378127i 0.0815058 0.00156470i
\(585\) −30.2177 + 37.7500i −1.24935 + 1.56077i
\(586\) 1.38190 + 20.5382i 0.0570856 + 0.848427i
\(587\) 1.88274 + 11.4368i 0.0777090 + 0.472047i 0.996930 + 0.0783036i \(0.0249504\pi\)
−0.919221 + 0.393743i \(0.871180\pi\)
\(588\) −16.6621 35.5503i −0.687133 1.46607i
\(589\) −0.319882 5.25609i −0.0131805 0.216573i
\(590\) 14.9322 22.5226i 0.614748 0.927243i
\(591\) 9.15947 2.33427i 0.376770 0.0960190i
\(592\) −15.1007 + 26.2845i −0.620636 + 1.08029i
\(593\) 30.8664 + 36.1282i 1.26753 + 1.48361i 0.800458 + 0.599389i \(0.204590\pi\)
0.467073 + 0.884219i \(0.345309\pi\)
\(594\) −0.488698 + 0.179447i −0.0200515 + 0.00736279i
\(595\) −39.5267 + 26.7552i −1.62044 + 1.09686i
\(596\) −21.9628 52.9033i −0.899633 2.16700i
\(597\) 24.4057 + 12.9011i 0.998857 + 0.528009i
\(598\) −15.4817 + 28.6192i −0.633094 + 1.17033i
\(599\) −10.5228 + 27.2997i −0.429951 + 1.11544i 0.533085 + 0.846062i \(0.321033\pi\)
−0.963036 + 0.269374i \(0.913183\pi\)
\(600\) −2.14996 + 4.03586i −0.0877716 + 0.164763i
\(601\) 17.7737 + 16.9406i 0.725003 + 0.691021i 0.959693 0.281049i \(-0.0906824\pi\)
−0.234690 + 0.972070i \(0.575407\pi\)
\(602\) 4.28585 + 36.0381i 0.174678 + 1.46880i
\(603\) −41.0275 + 13.3016i −1.67077 + 0.541684i
\(604\) −50.8378 + 15.7662i −2.06856 + 0.641520i
\(605\) 18.3944 + 21.2532i 0.747839 + 0.864067i
\(606\) −6.26793 0.684477i −0.254617 0.0278050i
\(607\) −15.2724 + 12.3055i −0.619890 + 0.499464i −0.885514 0.464612i \(-0.846194\pi\)
0.265625 + 0.964077i \(0.414422\pi\)
\(608\) −14.9833 + 12.5544i −0.607654 + 0.509146i
\(609\) 1.48175 51.4487i 0.0600436 2.08481i
\(610\) −0.737837 17.7308i −0.0298741 0.717899i
\(611\) 9.01057 + 14.1743i 0.364529 + 0.573432i
\(612\) −11.6888 + 35.6635i −0.472491 + 1.44161i
\(613\) 0.0981954 0.0770678i 0.00396608 0.00311274i −0.615412 0.788206i \(-0.711010\pi\)
0.619378 + 0.785093i \(0.287385\pi\)
\(614\) 5.94405 12.0736i 0.239882 0.487252i
\(615\) 25.4757 + 10.2907i 1.02728 + 0.414962i
\(616\) 0.236465 2.10301i 0.00952746 0.0847326i
\(617\) 22.5505 + 0.721678i 0.907850 + 0.0290537i 0.482422 0.875939i \(-0.339757\pi\)
0.425428 + 0.904992i \(0.360124\pi\)
\(618\) 14.8188 + 5.65760i 0.596100 + 0.227582i
\(619\) 15.0756 5.64540i 0.605940 0.226908i −0.0288609 0.999583i \(-0.509188\pi\)
0.634801 + 0.772676i \(0.281082\pi\)
\(620\) −11.1853 + 8.32512i −0.449214 + 0.334345i
\(621\) −1.02959 0.145894i −0.0413160 0.00585451i
\(622\) −4.21646 + 15.5043i −0.169065 + 0.621667i
\(623\) 21.1377 + 13.3424i 0.846864 + 0.534552i
\(624\) 37.5743 + 19.5557i 1.50417 + 0.782854i
\(625\) 21.6286 + 22.2605i 0.865144 + 0.890419i
\(626\) 13.5599 + 23.6026i 0.541963 + 0.943349i
\(627\) −1.29131 + 3.62381i −0.0515700 + 0.144721i
\(628\) −3.58984 + 36.0785i −0.143250 + 1.43969i
\(629\) 39.6688 + 30.7256i 1.58170 + 1.22511i
\(630\) 45.7410 45.8876i 1.82237 1.82821i
\(631\) −15.2914 + 1.66987i −0.608741 + 0.0664764i −0.407714 0.913109i \(-0.633674\pi\)
−0.201026 + 0.979586i \(0.564428\pi\)
\(632\) 2.24694 + 2.08741i 0.0893785 + 0.0830325i
\(633\) −19.3843 53.3169i −0.770457 2.11916i
\(634\) 9.88510 68.1891i 0.392587 2.70814i
\(635\) −18.1871 + 3.53454i −0.721733 + 0.140264i
\(636\) −38.2912 + 16.9115i −1.51834 + 0.670586i
\(637\) 5.15701 + 37.2512i 0.204328 + 1.47594i
\(638\) 4.13952 6.33134i 0.163885 0.250660i
\(639\) −4.31339 + 1.52150i −0.170635 + 0.0601897i
\(640\) 17.9359 + 5.43689i 0.708980 + 0.214912i
\(641\) −3.66099 + 1.67321i −0.144600 + 0.0660876i −0.486664 0.873589i \(-0.661787\pi\)
0.342064 + 0.939677i \(0.388874\pi\)
\(642\) 15.1274 25.9451i 0.597029 1.02397i
\(643\) −26.7552 25.1764i −1.05512 0.992859i −0.0551367 0.998479i \(-0.517559\pi\)
−0.999984 + 0.00561965i \(0.998211\pi\)
\(644\) 13.5938 19.6732i 0.535669 0.775234i
\(645\) −27.5726 + 13.9048i −1.08567 + 0.547502i
\(646\) 13.3152 + 21.2448i 0.523878 + 0.835865i
\(647\) 36.5559 28.3144i 1.43716 1.11316i 0.463247 0.886229i \(-0.346684\pi\)
0.973912 0.226926i \(-0.0728676\pi\)
\(648\) −0.956742 + 7.62834i −0.0375844 + 0.299669i
\(649\) −3.05197 + 0.432467i −0.119800 + 0.0169758i
\(650\) 17.6046 17.4365i 0.690510 0.683915i
\(651\) 18.5650 6.68246i 0.727619 0.261906i
\(652\) −7.92419 + 3.31949i −0.310335 + 0.130001i
\(653\) 2.59398 29.9559i 0.101510 1.17226i −0.754855 0.655892i \(-0.772293\pi\)
0.856365 0.516371i \(-0.172718\pi\)
\(654\) −88.6452 + 11.9830i −3.46630 + 0.468574i
\(655\) −15.5348 8.72770i −0.606996 0.341019i
\(656\) 2.31543 12.1211i 0.0904025 0.473248i
\(657\) −0.505780 6.86136i −0.0197323 0.267687i
\(658\) −9.94031 20.1909i −0.387514 0.787122i
\(659\) −10.9366 5.25448i −0.426030 0.204686i 0.207778 0.978176i \(-0.433377\pi\)
−0.633808 + 0.773490i \(0.718509\pi\)
\(660\) 9.90244 2.38910i 0.385452 0.0929954i
\(661\) 10.6460 + 14.2085i 0.414081 + 0.552645i 0.958102 0.286427i \(-0.0924675\pi\)
−0.544021 + 0.839072i \(0.683099\pi\)
\(662\) 3.75945 + 4.28798i 0.146115 + 0.166657i
\(663\) 40.5926 57.1683i 1.57648 2.22023i
\(664\) −7.81972 9.89808i −0.303464 0.384120i
\(665\) −2.19942 23.6386i −0.0852897 0.916667i
\(666\) −60.8159 30.6693i −2.35657 1.18841i
\(667\) 13.2667 7.23164i 0.513688 0.280010i
\(668\) 5.48696 + 10.9675i 0.212297 + 0.424346i
\(669\) −22.1440 9.94981i −0.856135 0.384682i
\(670\) 74.7999 15.0342i 2.88977 0.580821i
\(671\) −1.45634 + 1.40597i −0.0562212 + 0.0542768i
\(672\) −60.9175 40.6685i −2.34994 1.56882i
\(673\) −9.77926 29.8374i −0.376963 1.15015i −0.944979 0.327131i \(-0.893918\pi\)
0.568016 0.823017i \(-0.307711\pi\)
\(674\) 39.5478 48.1302i 1.52332 1.85391i
\(675\) 0.718093 + 0.333765i 0.0276394 + 0.0128466i
\(676\) 35.1068 + 34.7715i 1.35026 + 1.33737i
\(677\) 29.7940 + 22.1754i 1.14508 + 0.852268i 0.990743 0.135750i \(-0.0433445\pi\)
0.154335 + 0.988019i \(0.450676\pi\)
\(678\) −5.07457 1.46761i −0.194888 0.0563632i
\(679\) −16.4593 41.9001i −0.631651 1.60798i
\(680\) 4.91248 10.6582i 0.188385 0.408725i
\(681\) −1.07724 + 48.0955i −0.0412800 + 1.84302i
\(682\) 2.83928 + 0.589596i 0.108721 + 0.0225768i
\(683\) −1.98000 2.09072i −0.0757626 0.0799993i 0.687087 0.726575i \(-0.258889\pi\)
−0.762850 + 0.646575i \(0.776201\pi\)
\(684\) −12.7489 13.6356i −0.487468 0.521369i
\(685\) −34.9813 + 2.46612i −1.33657 + 0.0942257i
\(686\) 0.108446 + 3.76541i 0.00414048 + 0.143764i
\(687\) −45.1105 50.7931i −1.72107 1.93788i
\(688\) 8.52799 + 10.9377i 0.325126 + 0.416998i
\(689\) 39.8294 4.60756i 1.51738 0.175534i
\(690\) 35.8891 + 9.39119i 1.36627 + 0.357516i
\(691\) 8.13228 25.9288i 0.309367 0.986379i −0.662143 0.749378i \(-0.730353\pi\)
0.971509 0.237001i \(-0.0761646\pi\)
\(692\) 25.2463 12.5297i 0.959719 0.476307i
\(693\) −7.37837 0.425355i −0.280281 0.0161579i
\(694\) −33.0850 36.3063i −1.25589 1.37817i
\(695\) 13.9043 25.3148i 0.527419 0.960245i
\(696\) 6.23393 + 11.0134i 0.236297 + 0.417462i
\(697\) −19.3483 6.54773i −0.732868 0.248013i
\(698\) 40.1447 7.27003i 1.51950 0.275175i
\(699\) −46.6908 1.79335i −1.76601 0.0678306i
\(700\) −14.2525 + 11.3341i −0.538696 + 0.428388i
\(701\) −15.3731 + 9.29592i −0.580632 + 0.351102i −0.777070 0.629414i \(-0.783295\pi\)
0.196438 + 0.980516i \(0.437063\pi\)
\(702\) −1.94801 + 4.29858i −0.0735228 + 0.162240i
\(703\) −22.8939 + 9.93665i −0.863459 + 0.374768i
\(704\) −2.92943 6.35577i −0.110407 0.239542i
\(705\) 13.2561 13.8192i 0.499253 0.520461i
\(706\) 34.9410 + 17.3412i 1.31502 + 0.652643i
\(707\) −3.85560 2.19871i −0.145005 0.0826909i
\(708\) 9.61630 27.5424i 0.361403 1.03511i
\(709\) 44.5998 + 8.66768i 1.67498 + 0.325522i 0.937008 0.349308i \(-0.113583\pi\)
0.737973 + 0.674830i \(0.235783\pi\)
\(710\) 7.88904 1.79683i 0.296071 0.0674338i
\(711\) 6.85252 8.23166i 0.256989 0.308712i
\(712\) −6.14493 0.117967i −0.230291 0.00442100i
\(713\) 4.43979 + 3.72005i 0.166272 + 0.139317i
\(714\) −62.3849 + 70.2437i −2.33470 + 2.62880i
\(715\) −9.73723 0.623874i −0.364152 0.0233316i
\(716\) 25.4238 49.2332i 0.950132 1.83993i
\(717\) 2.60974 15.2438i 0.0974627 0.569291i
\(718\) −1.95191 + 12.3494i −0.0728445 + 0.460876i
\(719\) −14.5266 0.371866i −0.541750 0.0138683i −0.246242 0.969208i \(-0.579196\pi\)
−0.295508 + 0.955340i \(0.595489\pi\)
\(720\) 5.88421 24.0514i 0.219292 0.896343i
\(721\) 7.98341 + 7.80660i 0.297318 + 0.290733i
\(722\) 27.4714 1.58370i 1.02238 0.0589392i
\(723\) 17.1574 9.78425i 0.638092 0.363880i
\(724\) −2.28149 12.3724i −0.0847909 0.459816i
\(725\) −11.2657 + 2.33941i −0.418399 + 0.0868837i
\(726\) 45.4147 + 31.5956i 1.68550 + 1.17262i
\(727\) 25.6455 + 15.9593i 0.951139 + 0.591896i 0.913256 0.407386i \(-0.133560\pi\)
0.0378831 + 0.999282i \(0.487939\pi\)
\(728\) −12.0843 14.9001i −0.447873 0.552233i
\(729\) 29.6664 + 2.09143i 1.09876 + 0.0774604i
\(730\) −0.506018 + 12.1600i −0.0187286 + 0.450062i
\(731\) 19.8694 11.4999i 0.734896 0.425338i
\(732\) −5.49892 18.3519i −0.203246 0.678304i
\(733\) −0.691835 1.24071i −0.0255535 0.0458266i 0.860316 0.509761i \(-0.170266\pi\)
−0.885870 + 0.463934i \(0.846437\pi\)
\(734\) 64.9100 13.9129i 2.39587 0.513533i
\(735\) 39.8567 15.8040i 1.47014 0.582939i
\(736\) 1.30618 21.4623i 0.0481465 0.791111i
\(737\) −6.94804 5.24076i −0.255934 0.193046i
\(738\) 27.4774 + 3.71439i 1.01146 + 0.136729i
\(739\) −6.14089 + 27.3658i −0.225896 + 1.00667i 0.722943 + 0.690908i \(0.242789\pi\)
−0.948839 + 0.315760i \(0.897741\pi\)
\(740\) 55.1958 + 36.3404i 2.02904 + 1.33590i
\(741\) 15.2031 + 31.3858i 0.558498 + 1.15299i
\(742\) −53.7230 + 0.343744i −1.97224 + 0.0126192i
\(743\) 2.82840 3.02511i 0.103764 0.110980i −0.676463 0.736476i \(-0.736488\pi\)
0.780227 + 0.625496i \(0.215103\pi\)
\(744\) −3.05591 + 3.76798i −0.112035 + 0.138141i
\(745\) 59.1238 20.4309i 2.16613 0.748528i
\(746\) −41.6807 + 15.9131i −1.52604 + 0.582620i
\(747\) −33.0315 + 29.1475i −1.20856 + 1.06645i
\(748\) −7.24734 + 2.19687i −0.264989 + 0.0803257i
\(749\) 17.0400 12.5140i 0.622627 0.457252i
\(750\) 34.9683 + 21.4517i 1.27686 + 0.783305i
\(751\) 0.00224883 + 0.702937i 8.20609e−5 + 0.0256505i 0.999954 + 0.00962636i \(0.00306421\pi\)
−0.999872 + 0.0160242i \(0.994899\pi\)
\(752\) −7.24338 4.63720i −0.264139 0.169101i
\(753\) 44.0138 + 42.4915i 1.60395 + 1.54848i
\(754\) −14.5862 67.0046i −0.531197 2.44017i
\(755\) −13.8133 56.4613i −0.502719 2.05484i
\(756\) 1.76611 2.98501i 0.0642326 0.108564i
\(757\) −11.7332 11.9224i −0.426451 0.433327i 0.465784 0.884898i \(-0.345772\pi\)
−0.892235 + 0.451571i \(0.850864\pi\)
\(758\) 40.9476 + 56.8937i 1.48729 + 2.06647i
\(759\) −1.91750 3.77225i −0.0696009 0.136924i
\(760\) 3.47025 + 4.69378i 0.125879 + 0.170261i
\(761\) 16.0542 + 23.8818i 0.581964 + 0.865715i 0.999069 0.0431436i \(-0.0137373\pi\)
−0.417105 + 0.908858i \(0.636955\pi\)
\(762\) −32.9706 + 15.5818i −1.19440 + 0.564469i
\(763\) −60.6000 17.1067i −2.19387 0.619303i
\(764\) 15.6346 33.3582i 0.565641 1.20686i
\(765\) −38.0993 15.1072i −1.37748 0.546200i
\(766\) −14.5997 2.45142i −0.527508 0.0885734i
\(767\) −16.6121 + 22.4691i −0.599827 + 0.811313i
\(768\) −17.6186 0.789640i −0.635757 0.0284937i
\(769\) 32.2604 18.9480i 1.16334 0.683284i 0.207808 0.978170i \(-0.433367\pi\)
0.955533 + 0.294886i \(0.0952816\pi\)
\(770\) 12.8792 + 2.24736i 0.464136