Properties

Label 983.2.c.a.2.19
Level $983$
Weight $2$
Character 983.2
Analytic conductor $7.849$
Analytic rank $0$
Dimension $39690$
CM no
Inner twists $2$

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 2.19
Character \(\chi\) \(=\) 983.2
Dual form 983.2.c.a.492.19

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.555704 + 1.65955i) q^{2} +(0.352885 + 0.198256i) q^{3} +(-0.848581 - 0.640067i) q^{4} +(-0.636799 + 0.960502i) q^{5} +(-0.525115 + 0.475459i) q^{6} +(-1.20682 + 2.66304i) q^{7} +(-1.35223 + 0.927979i) q^{8} +(-1.47531 - 2.42225i) q^{9} +O(q^{10})\) \(q+(-0.555704 + 1.65955i) q^{2} +(0.352885 + 0.198256i) q^{3} +(-0.848581 - 0.640067i) q^{4} +(-0.636799 + 0.960502i) q^{5} +(-0.525115 + 0.475459i) q^{6} +(-1.20682 + 2.66304i) q^{7} +(-1.35223 + 0.927979i) q^{8} +(-1.47531 - 2.42225i) q^{9} +(-1.24013 - 1.59055i) q^{10} +(2.05116 + 0.131420i) q^{11} +(-0.172555 - 0.394107i) q^{12} +(-4.41619 - 5.10255i) q^{13} +(-3.74880 - 3.48264i) q^{14} +(-0.415142 + 0.212698i) q^{15} +(-1.37266 - 4.80377i) q^{16} +(3.75743 - 1.65949i) q^{17} +(4.83968 - 1.10230i) q^{18} +(-5.73496 - 4.38361i) q^{19} +(1.15516 - 0.407471i) q^{20} +(-0.953832 + 0.700487i) q^{21} +(-1.35793 + 3.33096i) q^{22} +(-0.323923 - 3.05683i) q^{23} +(-0.661158 + 0.0593835i) q^{24} +(1.42957 + 3.38221i) q^{25} +(10.9220 - 4.49338i) q^{26} +(-0.0831133 - 2.36081i) q^{27} +(2.72861 - 1.48736i) q^{28} +(-3.34721 + 4.84417i) q^{29} +(-0.122287 - 0.807146i) q^{30} +(2.65328 + 3.94696i) q^{31} +(5.45814 + 0.244626i) q^{32} +(0.697768 + 0.453030i) q^{33} +(0.665987 + 7.15782i) q^{34} +(-1.78935 - 2.85497i) q^{35} +(-0.298480 + 2.99977i) q^{36} +(-6.49138 + 1.61015i) q^{37} +(10.4617 - 7.08145i) q^{38} +(-0.546798 - 2.67615i) q^{39} +(-0.0302308 - 1.88975i) q^{40} +(-1.78480 - 0.160306i) q^{41} +(-0.632445 - 1.97219i) q^{42} +(5.46504 + 7.49169i) q^{43} +(-1.65645 - 1.42440i) q^{44} +(3.26605 + 0.125446i) q^{45} +(5.25297 + 1.16113i) q^{46} +(-3.10525 - 10.3633i) q^{47} +(0.467987 - 1.96732i) q^{48} +(-1.02063 - 1.16412i) q^{49} +(-6.40736 + 0.492928i) q^{50} +(1.65495 + 0.159323i) q^{51} +(0.481524 + 7.15659i) q^{52} +(3.35120 - 3.07355i) q^{53} +(3.96406 + 1.17398i) q^{54} +(-1.43240 + 1.88645i) q^{55} +(-0.839350 - 4.72093i) q^{56} +(-1.15471 - 2.68390i) q^{57} +(-6.17908 - 8.24679i) q^{58} +(-14.4431 - 1.11113i) q^{59} +(0.488423 + 0.0852274i) q^{60} +(4.78150 + 4.05872i) q^{61} +(-8.02461 + 2.20992i) q^{62} +(8.23097 - 1.00559i) q^{63} +(0.154693 - 0.401326i) q^{64} +(7.71324 - 0.992465i) q^{65} +(-1.13958 + 0.906230i) q^{66} +(8.82713 - 7.59051i) q^{67} +(-4.25067 - 0.996794i) q^{68} +(0.491728 - 1.14293i) q^{69} +(5.73231 - 1.38300i) q^{70} +(-1.37982 + 1.12640i) q^{71} +(4.24275 + 1.90637i) q^{72} +(-7.43933 - 5.31820i) q^{73} +(0.935158 - 11.6675i) q^{74} +(-0.166071 + 1.47695i) q^{75} +(2.06078 + 7.39060i) q^{76} +(-2.82535 + 5.30370i) q^{77} +(4.74507 + 0.579710i) q^{78} +(-9.65745 + 1.43156i) q^{79} +(5.48814 + 1.74060i) q^{80} +(-3.46524 + 6.71044i) q^{81} +(1.25785 - 2.87287i) q^{82} +(4.71479 - 1.46219i) q^{83} +(1.25776 + 0.0160961i) q^{84} +(-0.798783 + 4.66578i) q^{85} +(-15.4698 + 4.90633i) q^{86} +(-2.14157 + 1.04583i) q^{87} +(-2.89558 + 1.72572i) q^{88} +(-14.8997 - 9.80983i) q^{89} +(-2.02314 + 5.35047i) q^{90} +(18.9178 - 5.60262i) q^{91} +(-1.68170 + 2.80130i) q^{92} +(0.153797 + 1.91885i) q^{93} +(18.9241 + 0.605621i) q^{94} +(7.86248 - 2.71696i) q^{95} +(1.87760 + 1.16843i) q^{96} +(-8.30051 + 0.425248i) q^{97} +(2.49907 - 1.04688i) q^{98} +(-2.70776 - 5.16230i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.555704 + 1.65955i −0.392942 + 1.17348i 0.548456 + 0.836180i \(0.315216\pi\)
−0.941398 + 0.337299i \(0.890487\pi\)
\(3\) 0.352885 + 0.198256i 0.203738 + 0.114463i 0.588321 0.808627i \(-0.299789\pi\)
−0.384583 + 0.923091i \(0.625655\pi\)
\(4\) −0.848581 0.640067i −0.424291 0.320034i
\(5\) −0.636799 + 0.960502i −0.284785 + 0.429550i −0.947708 0.319138i \(-0.896607\pi\)
0.662923 + 0.748687i \(0.269316\pi\)
\(6\) −0.525115 + 0.475459i −0.214377 + 0.194105i
\(7\) −1.20682 + 2.66304i −0.456135 + 1.00653i 0.531107 + 0.847305i \(0.321776\pi\)
−0.987242 + 0.159228i \(0.949099\pi\)
\(8\) −1.35223 + 0.927979i −0.478084 + 0.328090i
\(9\) −1.47531 2.42225i −0.491771 0.807417i
\(10\) −1.24013 1.59055i −0.392163 0.502977i
\(11\) 2.05116 + 0.131420i 0.618447 + 0.0396245i 0.370016 0.929025i \(-0.379352\pi\)
0.248430 + 0.968650i \(0.420085\pi\)
\(12\) −0.172555 0.394107i −0.0498123 0.113769i
\(13\) −4.41619 5.10255i −1.22483 1.41519i −0.878949 0.476916i \(-0.841755\pi\)
−0.345883 0.938278i \(-0.612420\pi\)
\(14\) −3.74880 3.48264i −1.00191 0.930774i
\(15\) −0.415142 + 0.212698i −0.107189 + 0.0549184i
\(16\) −1.37266 4.80377i −0.343164 1.20094i
\(17\) 3.75743 1.65949i 0.911311 0.402485i 0.105337 0.994437i \(-0.466408\pi\)
0.805974 + 0.591951i \(0.201642\pi\)
\(18\) 4.83968 1.10230i 1.14072 0.259814i
\(19\) −5.73496 4.38361i −1.31569 1.00567i −0.998354 0.0573550i \(-0.981733\pi\)
−0.317335 0.948313i \(-0.602788\pi\)
\(20\) 1.15516 0.407471i 0.258302 0.0911132i
\(21\) −0.953832 + 0.700487i −0.208143 + 0.152859i
\(22\) −1.35793 + 3.33096i −0.289512 + 0.710163i
\(23\) −0.323923 3.05683i −0.0675426 0.637394i −0.975752 0.218878i \(-0.929760\pi\)
0.908210 0.418516i \(-0.137449\pi\)
\(24\) −0.661158 + 0.0593835i −0.134958 + 0.0121216i
\(25\) 1.42957 + 3.38221i 0.285913 + 0.676442i
\(26\) 10.9220 4.49338i 2.14199 0.881225i
\(27\) −0.0831133 2.36081i −0.0159952 0.454337i
\(28\) 2.72861 1.48736i 0.515658 0.281084i
\(29\) −3.34721 + 4.84417i −0.621562 + 0.899540i −0.999656 0.0262270i \(-0.991651\pi\)
0.378094 + 0.925767i \(0.376579\pi\)
\(30\) −0.122287 0.807146i −0.0223264 0.147364i
\(31\) 2.65328 + 3.94696i 0.476544 + 0.708894i 0.988685 0.150007i \(-0.0479296\pi\)
−0.512141 + 0.858901i \(0.671148\pi\)
\(32\) 5.45814 + 0.244626i 0.964872 + 0.0432441i
\(33\) 0.697768 + 0.453030i 0.121466 + 0.0788624i
\(34\) 0.665987 + 7.15782i 0.114216 + 1.22756i
\(35\) −1.78935 2.85497i −0.302456 0.482578i
\(36\) −0.298480 + 2.99977i −0.0497467 + 0.499962i
\(37\) −6.49138 + 1.61015i −1.06718 + 0.264708i −0.734692 0.678401i \(-0.762673\pi\)
−0.332485 + 0.943108i \(0.607887\pi\)
\(38\) 10.4617 7.08145i 1.69712 1.14876i
\(39\) −0.546798 2.67615i −0.0875578 0.428528i
\(40\) −0.0302308 1.88975i −0.00477992 0.298796i
\(41\) −1.78480 0.160306i −0.278738 0.0250355i −0.0507920 0.998709i \(-0.516175\pi\)
−0.227946 + 0.973674i \(0.573201\pi\)
\(42\) −0.632445 1.97219i −0.0975883 0.304316i
\(43\) 5.46504 + 7.49169i 0.833410 + 1.14247i 0.987994 + 0.154493i \(0.0493744\pi\)
−0.154584 + 0.987980i \(0.549404\pi\)
\(44\) −1.65645 1.42440i −0.249720 0.214736i
\(45\) 3.26605 + 0.125446i 0.486875 + 0.0187004i
\(46\) 5.25297 + 1.16113i 0.774508 + 0.171199i
\(47\) −3.10525 10.3633i −0.452948 1.51165i −0.814984 0.579484i \(-0.803254\pi\)
0.362036 0.932164i \(-0.382082\pi\)
\(48\) 0.467987 1.96732i 0.0675481 0.283958i
\(49\) −1.02063 1.16412i −0.145804 0.166302i
\(50\) −6.40736 + 0.492928i −0.906138 + 0.0697105i
\(51\) 1.65495 + 0.159323i 0.231739 + 0.0223098i
\(52\) 0.481524 + 7.15659i 0.0667754 + 0.992441i
\(53\) 3.35120 3.07355i 0.460322 0.422184i −0.411949 0.911207i \(-0.635152\pi\)
0.872271 + 0.489023i \(0.162647\pi\)
\(54\) 3.96406 + 1.17398i 0.539440 + 0.159758i
\(55\) −1.43240 + 1.88645i −0.193145 + 0.254369i
\(56\) −0.839350 4.72093i −0.112163 0.630861i
\(57\) −1.15471 2.68390i −0.152944 0.355491i
\(58\) −6.17908 8.24679i −0.811353 1.08286i
\(59\) −14.4431 1.11113i −1.88034 0.144657i −0.914630 0.404292i \(-0.867518\pi\)
−0.965707 + 0.259635i \(0.916398\pi\)
\(60\) 0.488423 + 0.0852274i 0.0630552 + 0.0110028i
\(61\) 4.78150 + 4.05872i 0.612209 + 0.519666i 0.898784 0.438392i \(-0.144452\pi\)
−0.286575 + 0.958058i \(0.592517\pi\)
\(62\) −8.02461 + 2.20992i −1.01913 + 0.280660i
\(63\) 8.23097 1.00559i 1.03701 0.126692i
\(64\) 0.154693 0.401326i 0.0193367 0.0501657i
\(65\) 7.71324 0.992465i 0.956710 0.123100i
\(66\) −1.13958 + 0.906230i −0.140272 + 0.111549i
\(67\) 8.82713 7.59051i 1.07841 0.927328i 0.0808163 0.996729i \(-0.474247\pi\)
0.997589 + 0.0694010i \(0.0221088\pi\)
\(68\) −4.25067 0.996794i −0.515469 0.120879i
\(69\) 0.491728 1.14293i 0.0591971 0.137593i
\(70\) 5.73231 1.38300i 0.685143 0.165300i
\(71\) −1.37982 + 1.12640i −0.163755 + 0.133679i −0.710717 0.703478i \(-0.751629\pi\)
0.546962 + 0.837157i \(0.315784\pi\)
\(72\) 4.24275 + 1.90637i 0.500013 + 0.224668i
\(73\) −7.43933 5.31820i −0.870708 0.622449i 0.0559169 0.998435i \(-0.482192\pi\)
−0.926625 + 0.375987i \(0.877304\pi\)
\(74\) 0.935158 11.6675i 0.108710 1.35632i
\(75\) −0.166071 + 1.47695i −0.0191762 + 0.170544i
\(76\) 2.06078 + 7.39060i 0.236387 + 0.847760i
\(77\) −2.82535 + 5.30370i −0.321978 + 0.604413i
\(78\) 4.74507 + 0.579710i 0.537273 + 0.0656393i
\(79\) −9.65745 + 1.43156i −1.08655 + 0.161063i −0.665812 0.746120i \(-0.731915\pi\)
−0.420737 + 0.907183i \(0.638228\pi\)
\(80\) 5.48814 + 1.74060i 0.613593 + 0.194605i
\(81\) −3.46524 + 6.71044i −0.385026 + 0.745604i
\(82\) 1.25785 2.87287i 0.138907 0.317256i
\(83\) 4.71479 1.46219i 0.517515 0.160496i −0.0263757 0.999652i \(-0.508397\pi\)
0.543891 + 0.839156i \(0.316951\pi\)
\(84\) 1.25776 + 0.0160961i 0.137233 + 0.00175623i
\(85\) −0.798783 + 4.66578i −0.0866402 + 0.506075i
\(86\) −15.4698 + 4.90633i −1.66815 + 0.529063i
\(87\) −2.14157 + 1.04583i −0.229600 + 0.112125i
\(88\) −2.89558 + 1.72572i −0.308670 + 0.183962i
\(89\) −14.8997 9.80983i −1.57937 1.03984i −0.968789 0.247885i \(-0.920264\pi\)
−0.610579 0.791955i \(-0.709063\pi\)
\(90\) −2.02314 + 5.35047i −0.213258 + 0.563989i
\(91\) 18.9178 5.60262i 1.98313 0.587314i
\(92\) −1.68170 + 2.80130i −0.175330 + 0.292056i
\(93\) 0.153797 + 1.91885i 0.0159480 + 0.198976i
\(94\) 18.9241 + 0.605621i 1.95187 + 0.0624650i
\(95\) 7.86248 2.71696i 0.806673 0.278755i
\(96\) 1.87760 + 1.16843i 0.191632 + 0.119253i
\(97\) −8.30051 + 0.425248i −0.842789 + 0.0431774i −0.467781 0.883844i \(-0.654946\pi\)
−0.375008 + 0.927022i \(0.622360\pi\)
\(98\) 2.49907 1.04688i 0.252445 0.105751i
\(99\) −2.70776 5.16230i −0.272140 0.518830i
\(100\) 0.951738 3.78510i 0.0951738 0.378510i
\(101\) 1.86924 + 1.35443i 0.185997 + 0.134771i 0.675865 0.737025i \(-0.263770\pi\)
−0.489869 + 0.871796i \(0.662955\pi\)
\(102\) −1.18406 + 2.65793i −0.117240 + 0.263174i
\(103\) −6.08621 2.36835i −0.599692 0.233361i 0.0435157 0.999053i \(-0.486144\pi\)
−0.643207 + 0.765692i \(0.722397\pi\)
\(104\) 10.7068 + 2.80167i 1.04988 + 0.274726i
\(105\) −0.0654204 1.36223i −0.00638437 0.132940i
\(106\) 3.23843 + 7.26946i 0.314544 + 0.706072i
\(107\) 0.799563 3.78946i 0.0772966 0.366341i −0.922511 0.385972i \(-0.873866\pi\)
0.999807 + 0.0196310i \(0.00624915\pi\)
\(108\) −1.44055 + 2.05653i −0.138617 + 0.197890i
\(109\) 11.1860 + 13.2638i 1.07142 + 1.27044i 0.960998 + 0.276554i \(0.0891924\pi\)
0.110424 + 0.993885i \(0.464779\pi\)
\(110\) −2.33467 3.42545i −0.222602 0.326604i
\(111\) −2.60994 0.718757i −0.247724 0.0682214i
\(112\) 14.4492 + 2.14186i 1.36532 + 0.202386i
\(113\) 2.12413 + 1.03732i 0.199821 + 0.0975824i 0.536008 0.844213i \(-0.319932\pi\)
−0.336187 + 0.941795i \(0.609137\pi\)
\(114\) 5.09574 0.424837i 0.477260 0.0397896i
\(115\) 3.14237 + 1.63546i 0.293027 + 0.152507i
\(116\) 5.94098 1.96823i 0.551606 0.182746i
\(117\) −5.84440 + 18.2250i −0.540315 + 1.68490i
\(118\) 9.87009 23.3516i 0.908615 2.14969i
\(119\) −0.115259 + 12.0089i −0.0105658 + 1.10085i
\(120\) 0.363987 0.672859i 0.0332273 0.0614234i
\(121\) −6.72009 0.864676i −0.610917 0.0786069i
\(122\) −9.39274 + 5.67969i −0.850379 + 0.514215i
\(123\) −0.598047 0.410416i −0.0539241 0.0370060i
\(124\) 0.274790 5.04759i 0.0246768 0.453287i
\(125\) −9.82217 1.84374i −0.878522 0.164909i
\(126\) −2.90516 + 14.2185i −0.258812 + 1.26669i
\(127\) −2.61369 6.29577i −0.231928 0.558659i 0.764356 0.644795i \(-0.223057\pi\)
−0.996283 + 0.0861359i \(0.972548\pi\)
\(128\) 9.00053 + 7.44395i 0.795542 + 0.657958i
\(129\) 0.443258 + 3.72719i 0.0390267 + 0.328160i
\(130\) −2.63923 + 13.3520i −0.231476 + 1.17105i
\(131\) −15.7840 8.08692i −1.37905 0.706557i −0.401228 0.915978i \(-0.631416\pi\)
−0.977826 + 0.209421i \(0.932842\pi\)
\(132\) −0.302143 0.831051i −0.0262982 0.0723337i
\(133\) 18.5948 9.98217i 1.61237 0.865564i
\(134\) 7.69155 + 18.8671i 0.664449 + 1.62987i
\(135\) 2.32049 + 1.42353i 0.199716 + 0.122518i
\(136\) −3.54092 + 5.73082i −0.303631 + 0.491414i
\(137\) −3.92878 6.94093i −0.335658 0.593004i 0.650363 0.759624i \(-0.274617\pi\)
−0.986021 + 0.166620i \(0.946715\pi\)
\(138\) 1.62350 + 1.45118i 0.138201 + 0.123532i
\(139\) −1.84640 + 3.52012i −0.156609 + 0.298573i −0.951201 0.308571i \(-0.900149\pi\)
0.794592 + 0.607144i \(0.207685\pi\)
\(140\) −0.308963 + 3.56798i −0.0261121 + 0.301549i
\(141\) 0.958795 4.27271i 0.0807451 0.359827i
\(142\) −1.10255 2.91583i −0.0925238 0.244691i
\(143\) −8.38772 11.0465i −0.701417 0.923755i
\(144\) −9.61085 + 10.4120i −0.800904 + 0.867665i
\(145\) −2.52134 6.29977i −0.209386 0.523167i
\(146\) 12.9599 9.39059i 1.07257 0.777171i
\(147\) −0.129372 0.613145i −0.0106704 0.0505713i
\(148\) 6.53907 + 2.78857i 0.537509 + 0.229219i
\(149\) 5.65551 + 21.8987i 0.463317 + 1.79401i 0.596147 + 0.802875i \(0.296697\pi\)
−0.132830 + 0.991139i \(0.542406\pi\)
\(150\) −2.35879 1.09635i −0.192594 0.0895167i
\(151\) 16.9011 6.08353i 1.37539 0.495071i 0.456547 0.889699i \(-0.349086\pi\)
0.918841 + 0.394628i \(0.129127\pi\)
\(152\) 11.8229 + 0.605704i 0.958960 + 0.0491290i
\(153\) −9.56308 6.65317i −0.773129 0.537877i
\(154\) −7.23169 7.63609i −0.582746 0.615334i
\(155\) −5.48067 + 0.0350677i −0.440218 + 0.00281671i
\(156\) −1.24891 + 2.62092i −0.0999932 + 0.209842i
\(157\) −0.164679 0.178406i −0.0131428 0.0142384i 0.728205 0.685359i \(-0.240355\pi\)
−0.741348 + 0.671121i \(0.765813\pi\)
\(158\) 2.99094 16.8225i 0.237946 1.33833i
\(159\) 1.79194 0.420215i 0.142110 0.0333252i
\(160\) −3.71070 + 5.08678i −0.293357 + 0.402145i
\(161\) 8.53137 + 2.82643i 0.672366 + 0.222754i
\(162\) −9.21065 9.47974i −0.723657 0.744799i
\(163\) −5.75417 + 1.46644i −0.450702 + 0.114860i −0.465535 0.885030i \(-0.654138\pi\)
0.0148327 + 0.999890i \(0.495278\pi\)
\(164\) 1.41194 + 1.27842i 0.110254 + 0.0998279i
\(165\) −0.879474 + 0.381719i −0.0684670 + 0.0297168i
\(166\) −0.193451 + 8.63696i −0.0150147 + 0.670358i
\(167\) −1.78385 9.67371i −0.138038 0.748574i −0.978427 0.206591i \(-0.933763\pi\)
0.840389 0.541983i \(-0.182326\pi\)
\(168\) 0.639759 1.83235i 0.0493584 0.141369i
\(169\) −4.66822 + 32.2022i −0.359094 + 2.47709i
\(170\) −7.29921 3.91841i −0.559824 0.300528i
\(171\) −2.15735 + 20.3587i −0.164976 + 1.55687i
\(172\) 0.157658 9.85530i 0.0120213 0.751460i
\(173\) 15.2601 2.86450i 1.16021 0.217784i 0.431178 0.902267i \(-0.358098\pi\)
0.729029 + 0.684483i \(0.239972\pi\)
\(174\) −0.545532 4.13521i −0.0413567 0.313490i
\(175\) −10.7322 0.274733i −0.811277 0.0207679i
\(176\) −2.18422 10.0337i −0.164642 0.756317i
\(177\) −4.87649 3.25554i −0.366539 0.244702i
\(178\) 24.5597 19.2755i 1.84083 1.44476i
\(179\) 0.508972 + 0.244535i 0.0380424 + 0.0182774i 0.451985 0.892026i \(-0.350716\pi\)
−0.413942 + 0.910303i \(0.635849\pi\)
\(180\) −2.69122 2.19694i −0.200592 0.163751i
\(181\) 1.70770 + 3.41341i 0.126932 + 0.253716i 0.948746 0.316040i \(-0.102353\pi\)
−0.821814 + 0.569756i \(0.807038\pi\)
\(182\) −1.21489 + 34.5085i −0.0900534 + 2.55794i
\(183\) 0.882656 + 2.38023i 0.0652478 + 0.175951i
\(184\) 3.27470 + 3.83293i 0.241414 + 0.282568i
\(185\) 2.58715 7.26033i 0.190211 0.533790i
\(186\) −3.26990 0.811080i −0.239760 0.0594713i
\(187\) 7.92516 2.91007i 0.579545 0.212806i
\(188\) −3.99817 + 10.7817i −0.291596 + 0.786337i
\(189\) 6.38721 + 2.62773i 0.464601 + 0.191139i
\(190\) 0.139725 + 14.5580i 0.0101367 + 1.05615i
\(191\) −7.60844 4.02192i −0.550528 0.291016i 0.168842 0.985643i \(-0.445997\pi\)
−0.719370 + 0.694627i \(0.755569\pi\)
\(192\) 0.134154 0.110953i 0.00968175 0.00800735i
\(193\) −12.1349 11.5661i −0.873487 0.832545i 0.113468 0.993542i \(-0.463804\pi\)
−0.986955 + 0.160997i \(0.948529\pi\)
\(194\) 3.90690 14.0114i 0.280499 1.00596i
\(195\) 2.91865 + 1.17897i 0.209009 + 0.0844279i
\(196\) 0.120974 + 1.64112i 0.00864097 + 0.117223i
\(197\) −18.7685 + 5.03974i −1.33720 + 0.359067i −0.855743 0.517401i \(-0.826900\pi\)
−0.481460 + 0.876468i \(0.659893\pi\)
\(198\) 10.0718 1.62496i 0.715771 0.115481i
\(199\) −10.7935 + 16.7414i −0.765131 + 1.18677i 0.212647 + 0.977129i \(0.431792\pi\)
−0.977778 + 0.209641i \(0.932771\pi\)
\(200\) −5.07172 3.24690i −0.358625 0.229591i
\(201\) 4.61983 0.928548i 0.325858 0.0654947i
\(202\) −3.28649 + 2.34944i −0.231237 + 0.165306i
\(203\) −8.86072 14.7598i −0.621901 1.03593i
\(204\) −1.30238 1.19448i −0.0911848 0.0836300i
\(205\) 1.29053 1.61222i 0.0901345 0.112602i
\(206\) 7.31252 8.78425i 0.509488 0.612028i
\(207\) −6.92653 + 5.29440i −0.481427 + 0.367987i
\(208\) −18.4496 + 28.2185i −1.27925 + 1.95660i
\(209\) −11.1872 9.74514i −0.773834 0.674086i
\(210\) 2.29704 + 0.648427i 0.158511 + 0.0447457i
\(211\) −0.285567 1.73469i −0.0196592 0.119421i 0.975081 0.221848i \(-0.0712088\pi\)
−0.994741 + 0.102427i \(0.967339\pi\)
\(212\) −4.81104 + 0.463164i −0.330424 + 0.0318102i
\(213\) −0.710236 + 0.123933i −0.0486646 + 0.00849173i
\(214\) 5.84447 + 3.43273i 0.399520 + 0.234657i
\(215\) −10.6759 + 0.478478i −0.728092 + 0.0326319i
\(216\) 2.30317 + 3.11521i 0.156711 + 0.211963i
\(217\) −13.7129 + 2.30252i −0.930894 + 0.156306i
\(218\) −28.2280 + 11.1930i −1.91184 + 0.758083i
\(219\) −1.57087 3.35161i −0.106149 0.226481i
\(220\) 2.42297 0.683975i 0.163356 0.0461136i
\(221\) −25.0612 11.8439i −1.68580 0.796704i
\(222\) 2.64316 3.93190i 0.177398 0.263892i
\(223\) −3.83771 + 5.19080i −0.256992 + 0.347602i −0.913588 0.406640i \(-0.866700\pi\)
0.656596 + 0.754242i \(0.271996\pi\)
\(224\) −7.23844 + 14.2400i −0.483639 + 0.951451i
\(225\) 6.08351 8.45258i 0.405567 0.563506i
\(226\) −2.90186 + 2.94865i −0.193029 + 0.196142i
\(227\) 5.01979 + 8.48428i 0.333175 + 0.563121i 0.979872 0.199625i \(-0.0639725\pi\)
−0.646697 + 0.762747i \(0.723850\pi\)
\(228\) −0.738015 + 3.01660i −0.0488762 + 0.199779i
\(229\) −1.97883 + 9.09015i −0.130764 + 0.600694i 0.864428 + 0.502757i \(0.167681\pi\)
−0.995193 + 0.0979376i \(0.968775\pi\)
\(230\) −4.46035 + 4.30609i −0.294107 + 0.283935i
\(231\) −2.04852 + 1.31146i −0.134782 + 0.0862874i
\(232\) 0.0308931 9.65656i 0.00202823 0.633984i
\(233\) 5.91079 3.62604i 0.387229 0.237550i −0.315625 0.948884i \(-0.602214\pi\)
0.702854 + 0.711334i \(0.251909\pi\)
\(234\) −26.9975 19.8268i −1.76488 1.29612i
\(235\) 11.9314 + 3.61675i 0.778321 + 0.235931i
\(236\) 11.5450 + 10.1875i 0.751514 + 0.663148i
\(237\) −3.69179 1.40947i −0.239808 0.0915551i
\(238\) −19.8653 6.86465i −1.28767 0.444969i
\(239\) −11.7675 14.5095i −0.761175 0.938539i 0.238292 0.971194i \(-0.423413\pi\)
−0.999467 + 0.0326542i \(0.989604\pi\)
\(240\) 1.59160 + 1.70229i 0.102737 + 0.109882i
\(241\) −0.935040 0.00598280i −0.0602312 0.000385386i −0.0237202 0.999719i \(-0.507551\pi\)
−0.0365110 + 0.999333i \(0.511624\pi\)
\(242\) 5.16935 10.6718i 0.332298 0.686010i
\(243\) −8.47231 + 5.57808i −0.543499 + 0.357834i
\(244\) −1.45964 6.50464i −0.0934439 0.416417i
\(245\) 1.76807 0.239008i 0.112958 0.0152696i
\(246\) 1.01344 0.764418i 0.0646147 0.0487375i
\(247\) 2.95909 + 48.6218i 0.188282 + 3.09373i
\(248\) −7.25053 2.87498i −0.460409 0.182562i
\(249\) 1.95367 + 0.418750i 0.123809 + 0.0265372i
\(250\) 8.51799 15.2758i 0.538725 0.966127i
\(251\) 0.152768 0.509840i 0.00964261 0.0321808i −0.952965 0.303080i \(-0.901985\pi\)
0.962608 + 0.270899i \(0.0873211\pi\)
\(252\) −7.62830 4.41505i −0.480537 0.278122i
\(253\) −0.262689 6.31261i −0.0165151 0.396870i
\(254\) 11.9006 0.838971i 0.746709 0.0526417i
\(255\) −1.20690 + 1.48812i −0.0755789 + 0.0931899i
\(256\) −16.6249 + 10.3457i −1.03906 + 0.646606i
\(257\) 8.94973 6.22645i 0.558269 0.388395i −0.257933 0.966163i \(-0.583041\pi\)
0.816201 + 0.577767i \(0.196076\pi\)
\(258\) −6.43177 1.33560i −0.400424 0.0831510i
\(259\) 3.54604 19.2300i 0.220340 1.19489i
\(260\) −7.18056 4.09480i −0.445319 0.253949i
\(261\) 16.6720 + 0.961122i 1.03197 + 0.0594919i
\(262\) 22.1919 21.7004i 1.37102 1.34065i
\(263\) 2.07839 + 8.49533i 0.128159 + 0.523845i 0.999453 + 0.0330821i \(0.0105323\pi\)
−0.871293 + 0.490763i \(0.836718\pi\)
\(264\) −1.36394 + 0.0349156i −0.0839448 + 0.00214891i
\(265\) 0.818111 + 5.17606i 0.0502561 + 0.317963i
\(266\) 6.23272 + 36.4060i 0.382153 + 2.23220i
\(267\) −3.31304 6.41571i −0.202755 0.392635i
\(268\) −12.3490 + 0.791211i −0.754333 + 0.0483309i
\(269\) −10.0155 11.2771i −0.610653 0.687578i 0.358643 0.933475i \(-0.383239\pi\)
−0.969296 + 0.245896i \(0.920918\pi\)
\(270\) −3.65192 + 3.05990i −0.222249 + 0.186220i
\(271\) −6.01783 + 0.115527i −0.365557 + 0.00701776i −0.201649 0.979458i \(-0.564630\pi\)
−0.163908 + 0.986476i \(0.552410\pi\)
\(272\) −13.1295 15.7719i −0.796091 0.956314i
\(273\) 7.78658 + 1.77349i 0.471265 + 0.107337i
\(274\) 13.7021 2.66290i 0.827771 0.160872i
\(275\) 2.48777 + 7.12531i 0.150018 + 0.429673i
\(276\) −1.14882 + 0.655132i −0.0691511 + 0.0394343i
\(277\) 6.87975 3.41441i 0.413364 0.205152i −0.225881 0.974155i \(-0.572526\pi\)
0.639245 + 0.769003i \(0.279247\pi\)
\(278\) −4.81576 5.02033i −0.288830 0.301099i
\(279\) 5.64610 12.2499i 0.338023 0.733383i
\(280\) 5.06896 + 2.20008i 0.302928 + 0.131480i
\(281\) −9.56948 21.1166i −0.570867 1.25971i −0.943390 0.331685i \(-0.892383\pi\)
0.372523 0.928023i \(-0.378493\pi\)
\(282\) 6.55796 + 3.96553i 0.390521 + 0.236144i
\(283\) 16.9070 + 13.4450i 1.00501 + 0.799221i 0.979702 0.200459i \(-0.0642433\pi\)
0.0253126 + 0.999680i \(0.491942\pi\)
\(284\) 1.89187 0.0726647i 0.112262 0.00431186i
\(285\) 3.31321 + 0.600008i 0.196258 + 0.0355414i
\(286\) 22.9933 7.78125i 1.35962 0.460115i
\(287\) 2.58083 4.55952i 0.152341 0.269140i
\(288\) −7.45992 13.5819i −0.439580 0.800320i
\(289\) −0.0860916 + 0.0944737i −0.00506421 + 0.00555728i
\(290\) 11.8559 0.683479i 0.696202 0.0401353i
\(291\) −3.01344 1.49556i −0.176651 0.0876714i
\(292\) 2.90887 + 9.27460i 0.170229 + 0.542755i
\(293\) 18.5848 4.86313i 1.08573 0.284107i 0.333331 0.942810i \(-0.391828\pi\)
0.752403 + 0.658703i \(0.228895\pi\)
\(294\) 1.08944 + 0.126029i 0.0635372 + 0.00735013i
\(295\) 10.2646 13.1651i 0.597629 0.766502i
\(296\) 7.28363 8.20116i 0.423352 0.476683i
\(297\) 0.139778 4.85330i 0.00811073 0.281617i
\(298\) −39.4848 2.78361i −2.28729 0.161250i
\(299\) −14.1671 + 15.1524i −0.819307 + 0.876286i
\(300\) 1.08627 1.14702i 0.0627160 0.0662232i
\(301\) −26.5460 + 5.51246i −1.53008 + 0.317733i
\(302\) 0.703941 + 31.4288i 0.0405073 + 1.80852i
\(303\) 0.391104 + 0.848548i 0.0224683 + 0.0487478i
\(304\) −13.1857 + 33.5666i −0.756254 + 1.92518i
\(305\) −6.94327 + 2.00806i −0.397570 + 0.114981i
\(306\) 16.3555 12.1732i 0.934982 0.695896i
\(307\) −3.94577 + 3.90808i −0.225197 + 0.223046i −0.807411 0.589990i \(-0.799132\pi\)
0.582214 + 0.813036i \(0.302187\pi\)
\(308\) 5.79226 2.69221i 0.330045 0.153403i
\(309\) −1.67819 2.04238i −0.0954690 0.116187i
\(310\) 2.98743 9.11493i 0.169675 0.517693i
\(311\) −13.9560 + 9.31706i −0.791375 + 0.528322i −0.884060 0.467374i \(-0.845200\pi\)
0.0926854 + 0.995695i \(0.470455\pi\)
\(312\) 3.22281 + 3.11135i 0.182456 + 0.176145i
\(313\) −1.21367 0.243938i −0.0686009 0.0137882i 0.162630 0.986687i \(-0.448002\pi\)
−0.231231 + 0.972899i \(0.574275\pi\)
\(314\) 0.387586 0.174152i 0.0218728 0.00982795i
\(315\) −4.27561 + 8.54623i −0.240903 + 0.481525i
\(316\) 9.11143 + 4.96662i 0.512558 + 0.279394i
\(317\) 1.37586 0.693843i 0.0772759 0.0389701i −0.411221 0.911536i \(-0.634898\pi\)
0.488497 + 0.872565i \(0.337545\pi\)
\(318\) −0.298420 + 3.20732i −0.0167346 + 0.179858i
\(319\) −7.50227 + 9.49626i −0.420046 + 0.531688i
\(320\) 0.286966 + 0.404147i 0.0160419 + 0.0225925i
\(321\) 1.03344 1.17873i 0.0576808 0.0657901i
\(322\) −9.43151 + 12.5876i −0.525598 + 0.701478i
\(323\) −28.8232 6.95399i −1.60377 0.386930i
\(324\) 7.23566 3.47637i 0.401981 0.193132i
\(325\) 10.9447 22.2309i 0.607101 1.23315i
\(326\) 0.763991 10.3642i 0.0423136 0.574022i
\(327\) 1.31775 + 6.89828i 0.0728716 + 0.381476i
\(328\) 2.56221 1.43948i 0.141474 0.0794822i
\(329\) 31.3454 + 4.23727i 1.72813 + 0.233608i
\(330\) −0.144754 1.67165i −0.00796844 0.0920215i
\(331\) 1.11620 + 0.467583i 0.0613518 + 0.0257007i 0.416837 0.908981i \(-0.363139\pi\)
−0.355485 + 0.934682i \(0.615684\pi\)
\(332\) −4.93678 1.77699i −0.270941 0.0975252i
\(333\) 13.4770 + 13.3483i 0.738536 + 0.731481i
\(334\) 17.0453 + 2.41533i 0.932676 + 0.132161i
\(335\) 1.66960 + 13.3121i 0.0912198 + 0.727318i
\(336\) 4.67427 + 3.62047i 0.255002 + 0.197513i
\(337\) 12.3933 19.7739i 0.675105 1.07715i −0.316593 0.948561i \(-0.602539\pi\)
0.991698 0.128591i \(-0.0410456\pi\)
\(338\) −50.8470 25.6420i −2.76571 1.39474i
\(339\) 0.543920 + 0.787175i 0.0295417 + 0.0427535i
\(340\) 3.66425 3.44802i 0.198722 0.186995i
\(341\) 4.92359 + 8.44451i 0.266627 + 0.457296i
\(342\) −32.5874 14.8936i −1.76212 0.805355i
\(343\) −15.2542 + 4.62398i −0.823650 + 0.249672i
\(344\) −14.3421 5.05902i −0.773274 0.272764i
\(345\) 0.784657 + 1.20012i 0.0422445 + 0.0646125i
\(346\) −3.72633 + 26.9168i −0.200329 + 1.44705i
\(347\) −2.29876 1.01526i −0.123404 0.0545020i 0.341385 0.939924i \(-0.389104\pi\)
−0.464789 + 0.885422i \(0.653870\pi\)
\(348\) 2.48670 + 0.483273i 0.133301 + 0.0259062i
\(349\) 4.38046 + 30.2172i 0.234481 + 1.61749i 0.687634 + 0.726057i \(0.258649\pi\)
−0.453153 + 0.891433i \(0.649701\pi\)
\(350\) 6.41985 17.6579i 0.343155 0.943855i
\(351\) −11.6791 + 10.8499i −0.623384 + 0.579123i
\(352\) 11.1633 + 1.21907i 0.595009 + 0.0649768i
\(353\) 15.0108 + 15.0589i 0.798943 + 0.801503i 0.983422 0.181334i \(-0.0580414\pi\)
−0.184479 + 0.982836i \(0.559060\pi\)
\(354\) 8.11262 6.28365i 0.431181 0.333972i
\(355\) −0.203242 2.04262i −0.0107870 0.108411i
\(356\) 6.36469 + 17.8613i 0.337328 + 0.946645i
\(357\) −2.42151 + 4.21491i −0.128160 + 0.223076i
\(358\) −0.688656 + 0.708775i −0.0363966 + 0.0374599i
\(359\) 1.61414 0.840086i 0.0851910 0.0443380i −0.418542 0.908198i \(-0.637459\pi\)
0.503733 + 0.863860i \(0.331960\pi\)
\(360\) −4.53285 + 2.86120i −0.238902 + 0.150798i
\(361\) 8.68769 + 31.9455i 0.457247 + 1.68134i
\(362\) −6.61369 + 0.937166i −0.347608 + 0.0492564i
\(363\) −2.19999 1.63743i −0.115470 0.0859428i
\(364\) −19.6394 7.35440i −1.02938 0.385475i
\(365\) 9.84551 3.75887i 0.515337 0.196748i
\(366\) −4.44060 + 0.142111i −0.232114 + 0.00742826i
\(367\) 3.01836 + 26.8439i 0.157557 + 1.40124i 0.783511 + 0.621378i \(0.213427\pi\)
−0.625954 + 0.779860i \(0.715290\pi\)
\(368\) −14.2397 + 5.75204i −0.742296 + 0.299846i
\(369\) 2.24483 + 4.55972i 0.116861 + 0.237370i
\(370\) 10.6112 + 8.32810i 0.551650 + 0.432957i
\(371\) 4.14067 + 12.6336i 0.214973 + 0.655903i
\(372\) 1.09769 1.72674i 0.0569123 0.0895275i
\(373\) −1.25876 + 30.2489i −0.0651759 + 1.56623i 0.587900 + 0.808934i \(0.299955\pi\)
−0.653076 + 0.757293i \(0.726522\pi\)
\(374\) 0.425365 + 14.7693i 0.0219951 + 0.763704i
\(375\) −3.10057 2.59793i −0.160113 0.134157i
\(376\) 13.8160 + 11.1320i 0.712504 + 0.574087i
\(377\) 39.4996 4.31347i 2.03433 0.222155i
\(378\) −7.91025 + 9.13965i −0.406859 + 0.470093i
\(379\) −19.4070 6.01865i −0.996869 0.309157i −0.245757 0.969332i \(-0.579036\pi\)
−0.751112 + 0.660174i \(0.770482\pi\)
\(380\) −8.41099 2.72695i −0.431475 0.139890i
\(381\) 0.325840 2.73987i 0.0166933 0.140368i
\(382\) 10.9026 10.3916i 0.557826 0.531680i
\(383\) 2.51575 + 4.72252i 0.128549 + 0.241310i 0.938568 0.345093i \(-0.112153\pi\)
−0.810020 + 0.586403i \(0.800544\pi\)
\(384\) 1.70035 + 4.41127i 0.0867706 + 0.225112i
\(385\) −3.29504 6.09115i −0.167931 0.310434i
\(386\) 25.9379 13.7111i 1.32020 0.697876i
\(387\) 10.0841 24.2903i 0.512605 1.23474i
\(388\) 7.31584 + 4.95202i 0.371406 + 0.251401i
\(389\) 22.8444 + 8.38831i 1.15825 + 0.425304i 0.850404 0.526130i \(-0.176358\pi\)
0.307851 + 0.951435i \(0.400390\pi\)
\(390\) −3.57847 + 4.18849i −0.181203 + 0.212092i
\(391\) −6.28990 10.9483i −0.318094 0.553679i
\(392\) 2.46039 + 0.627025i 0.124269 + 0.0316696i
\(393\) −3.96666 5.98303i −0.200091 0.301804i
\(394\) 2.06605 33.9479i 0.104086 1.71027i
\(395\) 4.77484 10.1876i 0.240248 0.512595i
\(396\) −1.00646 + 6.11378i −0.0505765 + 0.307229i
\(397\) 0.141204 2.09863i 0.00708683 0.105327i −0.992810 0.119702i \(-0.961806\pi\)
0.999897 + 0.0143751i \(0.00457588\pi\)
\(398\) −21.7853 27.2156i −1.09200 1.36420i
\(399\) 8.54085 + 0.163962i 0.427577 + 0.00820838i
\(400\) 14.2851 11.5099i 0.714254 0.575497i
\(401\) 9.73012 9.76130i 0.485899 0.487456i −0.422029 0.906582i \(-0.638682\pi\)
0.907928 + 0.419126i \(0.137664\pi\)
\(402\) −1.02629 + 8.18283i −0.0511865 + 0.408122i
\(403\) 8.42214 30.9690i 0.419537 1.54268i
\(404\) −0.719277 2.34579i −0.0357854 0.116707i
\(405\) −4.23873 7.60157i −0.210624 0.377725i
\(406\) 29.4185 6.50273i 1.46002 0.322725i
\(407\) −13.5264 + 2.44958i −0.670481 + 0.121421i
\(408\) −2.38571 + 1.32031i −0.118110 + 0.0653653i
\(409\) −17.3304 19.2638i −0.856931 0.952535i 0.142374 0.989813i \(-0.454526\pi\)
−0.999305 + 0.0372778i \(0.988131\pi\)
\(410\) 1.95840 + 3.03761i 0.0967186 + 0.150017i
\(411\) −0.0103278 3.22826i −0.000509433 0.159238i
\(412\) 3.64874 + 5.90532i 0.179760 + 0.290934i
\(413\) 20.3893 37.1217i 1.00329 1.82664i
\(414\) −4.93723 14.4370i −0.242651 0.709541i
\(415\) −1.59793 + 5.45968i −0.0784395 + 0.268005i
\(416\) −22.8560 28.9308i −1.12061 1.41845i
\(417\) −1.34945 + 0.876139i −0.0660829 + 0.0429047i
\(418\) 22.3893 13.1503i 1.09510 0.643201i
\(419\) 15.9171 13.5110i 0.777601 0.660057i −0.167853 0.985812i \(-0.553684\pi\)
0.945454 + 0.325755i \(0.105618\pi\)
\(420\) −0.816402 + 1.19783i −0.0398364 + 0.0584483i
\(421\) 12.3108 1.26472i 0.599989 0.0616386i 0.202558 0.979270i \(-0.435075\pi\)
0.397432 + 0.917632i \(0.369902\pi\)
\(422\) 3.03749 + 0.490061i 0.147863 + 0.0238558i
\(423\) −20.5214 + 22.8109i −0.997783 + 1.10910i
\(424\) −1.67939 + 7.26597i −0.0815582 + 0.352867i
\(425\) 10.9842 + 10.3361i 0.532814 + 0.501373i
\(426\) 0.189009 1.24754i 0.00915750 0.0604436i
\(427\) −16.5789 + 7.83517i −0.802311 + 0.379170i
\(428\) −3.10400 + 2.70389i −0.150038 + 0.130697i
\(429\) −0.769869 5.56107i −0.0371696 0.268491i
\(430\) 5.13859 17.9831i 0.247805 0.867222i
\(431\) 5.15639 + 26.0865i 0.248375 + 1.25654i 0.877629 + 0.479341i \(0.159124\pi\)
−0.629254 + 0.777200i \(0.716640\pi\)
\(432\) −11.2267 + 3.63983i −0.540144 + 0.175122i
\(433\) 22.8141 0.291961i 1.09638 0.0140308i 0.537486 0.843273i \(-0.319374\pi\)
0.558890 + 0.829242i \(0.311227\pi\)
\(434\) 3.79917 24.0368i 0.182366 1.15380i
\(435\) 0.359224 2.72297i 0.0172235 0.130556i
\(436\) −1.00252 18.4152i −0.0480118 0.881926i
\(437\) −11.5423 + 18.9508i −0.552142 + 0.906538i
\(438\) 6.43510 0.744427i 0.307481 0.0355701i
\(439\) −17.4894 + 6.80572i −0.834723 + 0.324819i −0.741606 0.670836i \(-0.765936\pi\)
−0.0931169 + 0.995655i \(0.529683\pi\)
\(440\) 0.186342 3.88015i 0.00888352 0.184979i
\(441\) −1.31404 + 4.18965i −0.0625731 + 0.199507i
\(442\) 33.5820 35.0086i 1.59733 1.66519i
\(443\) −6.10144 15.5323i −0.289888 0.737961i −0.999445 0.0333133i \(-0.989394\pi\)
0.709557 0.704648i \(-0.248895\pi\)
\(444\) 1.75469 + 2.28046i 0.0832740 + 0.108226i
\(445\) 18.9105 8.06434i 0.896444 0.382287i
\(446\) −6.48176 9.25341i −0.306920 0.438162i
\(447\) −2.34581 + 8.84898i −0.110953 + 0.418543i
\(448\) 0.882058 + 0.896282i 0.0416733 + 0.0423453i
\(449\) 4.31318 0.667589i 0.203551 0.0315055i −0.0503687 0.998731i \(-0.516040\pi\)
0.253920 + 0.967225i \(0.418280\pi\)
\(450\) 10.6468 + 14.7930i 0.501897 + 0.697349i
\(451\) −3.63983 0.563369i −0.171393 0.0265280i
\(452\) −1.13854 2.23983i −0.0535526 0.105353i
\(453\) 7.17023 + 1.20395i 0.336887 + 0.0565664i
\(454\) −16.8696 + 3.61584i −0.791729 + 0.169700i
\(455\) −6.66552 + 21.7384i −0.312485 + 1.01911i
\(456\) 4.05203 + 2.55770i 0.189754 + 0.119775i
\(457\) −0.711794 0.0593430i −0.0332963 0.00277595i 0.0664230 0.997792i \(-0.478841\pi\)
−0.0997193 + 0.995016i \(0.531794\pi\)
\(458\) −13.9859 8.33539i −0.653519 0.389487i
\(459\) −4.23003 8.73263i −0.197441 0.407604i
\(460\) −1.61975 3.39915i −0.0755214 0.158486i
\(461\) 6.59705 16.4833i 0.307255 0.767702i −0.691708 0.722177i \(-0.743142\pi\)
0.998963 0.0455246i \(-0.0144959\pi\)
\(462\) −1.03806 4.12839i −0.0482948 0.192070i
\(463\) −2.93639 + 2.62472i −0.136466 + 0.121981i −0.731868 0.681447i \(-0.761351\pi\)
0.595402 + 0.803428i \(0.296993\pi\)
\(464\) 27.8649 + 9.42987i 1.29359 + 0.437770i
\(465\) −1.94100 1.07420i −0.0900117 0.0498149i
\(466\) 2.73294 + 11.8243i 0.126601 + 0.547748i
\(467\) −11.2553 + 19.3042i −0.520834 + 0.893290i 0.479046 + 0.877790i \(0.340983\pi\)
−0.999880 + 0.0154999i \(0.995066\pi\)
\(468\) 16.6247 11.7246i 0.768475 0.541969i
\(469\) 9.56104 + 32.6673i 0.441488 + 1.50844i
\(470\) −12.6325 + 17.7909i −0.582695 + 0.820635i
\(471\) −0.0227427 0.0956055i −0.00104793 0.00440527i
\(472\) 20.5615 11.9004i 0.946420 0.547762i
\(473\) 10.2251 + 16.0848i 0.470150 + 0.739582i
\(474\) 4.39063 5.34346i 0.201668 0.245433i
\(475\) 6.62778 25.6635i 0.304104 1.17752i
\(476\) 7.78429 10.1167i 0.356792 0.463700i
\(477\) −12.3890 3.58300i −0.567251 0.164054i
\(478\) 30.6184 11.4657i 1.40045 0.524431i
\(479\) −2.30671 + 2.03547i −0.105396 + 0.0930031i −0.712710 0.701459i \(-0.752532\pi\)
0.607314 + 0.794462i \(0.292247\pi\)
\(480\) −2.31794 + 1.05938i −0.105799 + 0.0483539i
\(481\) 36.8831 + 26.0119i 1.68172 + 1.18604i
\(482\) 0.529534 1.54842i 0.0241196 0.0705286i
\(483\) 2.45024 + 2.68880i 0.111490 + 0.122345i
\(484\) 5.14909 + 5.03506i 0.234050 + 0.228866i
\(485\) 4.87730 8.24345i 0.221467 0.374316i
\(486\) −4.54900 17.1600i −0.206347 0.778392i
\(487\) 19.5200 23.1459i 0.884537 1.04884i −0.113930 0.993489i \(-0.536344\pi\)
0.998467 0.0553499i \(-0.0176274\pi\)
\(488\) −10.2321 1.05117i −0.463184 0.0475842i
\(489\) −2.32129 0.623316i −0.104973 0.0281873i
\(490\) −0.585878 + 3.06702i −0.0264673 + 0.138554i
\(491\) −0.357943 1.06896i −0.0161537 0.0482414i 0.939867 0.341542i \(-0.110949\pi\)
−0.956020 + 0.293300i \(0.905246\pi\)
\(492\) 0.244798 + 0.731062i 0.0110363 + 0.0329588i
\(493\) −4.53806 + 23.7563i −0.204384 + 1.06993i
\(494\) −82.3346 22.1085i −3.70441 0.994710i
\(495\) 6.68270 + 0.686532i 0.300365 + 0.0308573i
\(496\) 15.3182 18.1636i 0.687809 0.815569i
\(497\) −1.33445 5.03389i −0.0598584 0.225801i
\(498\) −1.78060 + 3.00951i −0.0797904 + 0.134859i
\(499\) −25.3097 24.7492i −1.13302 1.10792i −0.993041 0.117770i \(-0.962425\pi\)
−0.139977 0.990155i \(-0.544703\pi\)
\(500\) 7.15480 + 7.85141i 0.319972 + 0.351126i
\(501\) 1.28838 3.76737i 0.0575605 0.168314i
\(502\) 0.761210 + 0.536845i 0.0339745 + 0.0239606i
\(503\) 21.5915 9.86811i 0.962719 0.439997i 0.128670 0.991688i \(-0.458929\pi\)
0.834049 + 0.551690i \(0.186017\pi\)
\(504\) −10.1970 + 8.99796i −0.454209 + 0.400801i
\(505\) −2.49127 + 0.932911i −0.110860 + 0.0415140i
\(506\) 10.6221 + 3.07200i 0.472208 + 0.136567i
\(507\) −8.03163 + 10.4382i −0.356697 + 0.463576i
\(508\) −1.81178 + 7.01541i −0.0803848 + 0.311259i
\(509\) 13.3369 16.2312i 0.591148 0.719436i −0.388209 0.921571i \(-0.626906\pi\)
0.979358 + 0.202136i \(0.0647882\pi\)
\(510\) −1.79893 2.82986i −0.0796582 0.125308i
\(511\) 23.1405 13.3931i 1.02368 0.592476i
\(512\) −2.52466 10.6131i −0.111575 0.469039i
\(513\) −9.87219 + 13.9035i −0.435868 + 0.613852i
\(514\) 5.35971 + 18.3126i 0.236407 + 0.807733i
\(515\) 6.15050 4.33765i 0.271023 0.191140i
\(516\) 2.00951 3.44654i 0.0884637 0.151725i
\(517\) −5.00741 21.6649i −0.220226 0.952821i
\(518\) 29.9425 + 16.5710i 1.31560 + 0.728087i
\(519\) 5.95299 + 2.01457i 0.261307 + 0.0884300i
\(520\) −9.50906 + 8.49977i −0.417000 + 0.372739i
\(521\) −6.80505 27.0639i −0.298135 1.18569i −0.916576 0.399861i \(-0.869058\pi\)
0.618441 0.785831i \(-0.287765\pi\)
\(522\) −10.8597 + 27.1339i −0.475316 + 1.18762i
\(523\) 4.97101 + 10.4320i 0.217367 + 0.456157i 0.982142 0.188140i \(-0.0602458\pi\)
−0.764775 + 0.644297i \(0.777150\pi\)
\(524\) 8.21783 + 16.9652i 0.358998 + 0.741129i
\(525\) −3.73276 2.22467i −0.162911 0.0970925i
\(526\) −15.2534 1.27169i −0.665080 0.0554483i
\(527\) 16.5195 + 10.4273i 0.719599 + 0.454221i
\(528\) 1.21846 3.97378i 0.0530266 0.172936i
\(529\) 13.2499 2.83999i 0.576083 0.123478i
\(530\) −9.04456 1.51866i −0.392871 0.0659665i
\(531\) 18.6167 + 36.6242i 0.807896 + 1.58935i
\(532\) −22.1684 3.43121i −0.961123 0.148762i
\(533\) 7.06403 + 9.81495i 0.305977 + 0.425133i
\(534\) 12.4883 1.93292i 0.540420 0.0836456i
\(535\) 3.13062 + 3.18110i 0.135349 + 0.137531i
\(536\) −4.89243 + 18.4555i −0.211321 + 0.797155i
\(537\) 0.131128 + 0.187200i 0.00565860 + 0.00807827i
\(538\) 24.2806 10.3544i 1.04681 0.446410i
\(539\) −1.94048 2.52191i −0.0835823 0.108626i
\(540\) −1.05797 2.69325i −0.0455277 0.115899i
\(541\) −16.3956 + 17.0921i −0.704904 + 0.734847i −0.973571 0.228386i \(-0.926655\pi\)
0.268667 + 0.963233i \(0.413417\pi\)
\(542\) 3.15241 10.0511i 0.135408 0.431731i
\(543\) −0.0741068 + 1.54310i −0.00318023 + 0.0662209i
\(544\) 20.9145 8.13857i 0.896704 0.348938i
\(545\) −19.8631 + 2.29781i −0.850842 + 0.0984274i
\(546\) −7.27023 + 11.9367i −0.311137 + 0.510843i
\(547\) −0.972140 17.8572i −0.0415657 0.763518i −0.943445 0.331530i \(-0.892435\pi\)
0.901879 0.431988i \(-0.142188\pi\)
\(548\) −1.10877 + 8.40463i −0.0473643 + 0.359028i
\(549\) 2.77703 17.5699i 0.118521 0.749864i
\(550\) −13.2073 + 0.169019i −0.563160 + 0.00720699i
\(551\) 40.4311 13.1083i 1.72242 0.558430i
\(552\) 0.395690 + 2.00181i 0.0168417 + 0.0852029i
\(553\) 7.84251 27.4458i 0.333497 1.16711i
\(554\) 1.84327 + 13.3147i 0.0783131 + 0.565687i
\(555\) 2.35237 2.04915i 0.0998527 0.0869815i
\(556\) 3.81993 1.80529i 0.162001 0.0765614i
\(557\) −5.64636 + 37.2685i −0.239244 + 1.57912i 0.475489 + 0.879722i \(0.342271\pi\)
−0.714733 + 0.699397i \(0.753452\pi\)
\(558\) 17.1918 + 16.1773i 0.727785 + 0.684839i
\(559\) 14.0921 60.9704i 0.596033 2.57877i
\(560\) −11.2585 + 12.5145i −0.475757 + 0.528836i
\(561\) 3.37361 + 0.544290i 0.142434 + 0.0229799i
\(562\) 40.3618 4.14648i 1.70256 0.174909i
\(563\) 22.4150 32.8875i 0.944679 1.38604i 0.0223024 0.999751i \(-0.492900\pi\)
0.922377 0.386292i \(-0.126244\pi\)
\(564\) −3.54843 + 3.01205i −0.149416 + 0.126830i
\(565\) −2.34899 + 1.37967i −0.0988226 + 0.0580431i
\(566\) −31.7079 + 20.5865i −1.33278 + 0.865316i
\(567\) −13.6882 17.3263i −0.574851 0.727638i
\(568\) 0.820555 2.80360i 0.0344297 0.117636i
\(569\) 3.64532 + 10.6593i 0.152820 + 0.446863i 0.995851 0.0910022i \(-0.0290070\pi\)
−0.843031 + 0.537865i \(0.819231\pi\)
\(570\) −2.83690 + 5.16501i −0.118825 + 0.216338i
\(571\) 18.3834 + 29.7527i 0.769320 + 1.24511i 0.964432 + 0.264330i \(0.0851508\pi\)
−0.195112 + 0.980781i \(0.562507\pi\)
\(572\) 0.0471642 + 14.7426i 0.00197204 + 0.616417i
\(573\) −1.88754 2.92770i −0.0788530 0.122306i
\(574\) 6.13256 + 6.81675i 0.255968 + 0.284526i
\(575\) 9.87579 5.46552i 0.411849 0.227928i
\(576\) −1.20033 + 0.217375i −0.0500138 + 0.00905729i
\(577\) −0.573920 + 0.126861i −0.0238926 + 0.00528127i −0.227762 0.973717i \(-0.573141\pi\)
0.203870 + 0.978998i \(0.434648\pi\)
\(578\) −0.108942 0.195373i −0.00453140 0.00812643i
\(579\) −1.98917 6.48731i −0.0826672 0.269604i
\(580\) −1.89271 + 6.95969i −0.0785906 + 0.288985i
\(581\) −1.79604 + 14.3202i −0.0745122 + 0.594104i
\(582\) 4.15654 4.16985i 0.172294 0.172846i
\(583\) 7.27775 5.86391i 0.301414 0.242858i
\(584\) 14.9948 + 0.287862i 0.620491 + 0.0119118i
\(585\) −13.7834 17.2192i −0.569875 0.711927i
\(586\) −2.25703 + 33.5448i −0.0932369 + 1.38572i
\(587\) −2.92843 + 17.7889i −0.120869 + 0.734225i 0.855449 + 0.517887i \(0.173281\pi\)
−0.976318 + 0.216339i \(0.930589\pi\)
\(588\) −0.282672 + 0.603110i −0.0116572 + 0.0248718i
\(589\) 2.08544 34.2666i 0.0859291 1.41193i
\(590\) 16.1440 + 24.3505i 0.664640 + 1.00250i
\(591\) −7.62231 1.94253i −0.313540 0.0799049i
\(592\) 16.6453 + 28.9730i 0.684116 + 1.19078i
\(593\) −16.5912 + 19.4195i −0.681317 + 0.797461i −0.988017 0.154345i \(-0.950673\pi\)
0.306700 + 0.951806i \(0.400775\pi\)
\(594\) 7.97662 + 2.92897i 0.327284 + 0.120177i
\(595\) −11.4612 7.75794i −0.469862 0.318045i
\(596\) 9.21750 22.2028i 0.377563 0.909461i
\(597\) −7.12796 + 3.76793i −0.291728 + 0.154211i
\(598\) −17.2734 31.9313i −0.706362 1.30577i
\(599\) −4.85760 12.6022i −0.198476 0.514913i 0.797623 0.603156i \(-0.206091\pi\)
−0.996099 + 0.0882435i \(0.971875\pi\)
\(600\) −1.14602 2.15128i −0.0467860 0.0878258i
\(601\) 16.4739 15.7018i 0.671985 0.640488i −0.275120 0.961410i \(-0.588718\pi\)
0.947106 + 0.320922i \(0.103993\pi\)
\(602\) 5.60349 47.1176i 0.228381 1.92037i
\(603\) −31.4089 10.1831i −1.27907 0.414690i
\(604\) −18.2358 5.65543i −0.742004 0.230116i
\(605\) 5.10987 5.90404i 0.207746 0.240033i
\(606\) −1.62555 + 0.177515i −0.0660333 + 0.00721104i
\(607\) −16.2593 13.1006i −0.659943 0.531736i 0.238325 0.971186i \(-0.423402\pi\)
−0.898267 + 0.439449i \(0.855174\pi\)
\(608\) −30.2299 25.3293i −1.22598 1.02724i
\(609\) −0.200602 6.96521i −0.00812880 0.282244i
\(610\) 0.525933 12.6386i 0.0212944 0.511721i
\(611\) −39.1661 + 61.6112i −1.58449 + 2.49252i
\(612\) 3.85658 + 11.7668i 0.155893 + 0.475643i
\(613\) −20.9676 16.4562i −0.846872 0.664660i 0.0968863 0.995295i \(-0.469112\pi\)
−0.943759 + 0.330635i \(0.892737\pi\)
\(614\) −4.29297 8.71993i −0.173250 0.351908i
\(615\) 0.775041 0.313073i 0.0312527 0.0126243i
\(616\) −1.10121 9.79367i −0.0443692 0.394598i
\(617\) 6.08651 0.194785i 0.245034 0.00784174i 0.0907718 0.995872i \(-0.471067\pi\)
0.154262 + 0.988030i \(0.450700\pi\)
\(618\) 4.32201 1.65008i 0.173857 0.0663760i
\(619\) 0.224040 + 0.0838966i 0.00900491 + 0.00337209i 0.355189 0.934795i \(-0.384417\pi\)
−0.346184 + 0.938167i \(0.612523\pi\)
\(620\) 4.67324 + 3.47824i 0.187682 + 0.139689i
\(621\) −7.18967 + 1.01878i −0.288511 + 0.0408823i
\(622\) −7.70669 28.3383i −0.309010 1.13626i
\(623\) 44.1052 27.8398i 1.76704 1.11538i
\(624\) −12.1051 + 6.30014i −0.484591 + 0.252207i
\(625\) −4.76831 + 4.90762i −0.190732 + 0.196305i
\(626\) 1.07927 1.87859i 0.0431363 0.0750837i
\(627\) −2.01576 5.65685i −0.0805018 0.225913i
\(628\) 0.0255516 + 0.256798i 0.00101962 + 0.0102473i
\(629\) −21.7189 + 16.8224i −0.865989 + 0.670754i
\(630\) −11.8069 11.8447i −0.470399 0.471906i
\(631\) −47.2837 5.16352i −1.88233 0.205557i −0.906218 0.422811i \(-0.861044\pi\)
−0.976115 + 0.217254i \(0.930290\pi\)
\(632\) 11.7306 10.8977i 0.466618 0.433488i
\(633\) 0.243140 0.668762i 0.00966395 0.0265809i
\(634\) 0.386896 + 2.66888i 0.0153656 + 0.105995i
\(635\) 7.71150 + 1.49868i 0.306021 + 0.0594733i
\(636\) −1.78957 0.790374i −0.0709611 0.0313404i
\(637\) −1.43267 + 10.3488i −0.0567646 + 0.410033i
\(638\) −11.5905 17.7275i −0.458871 0.701838i
\(639\) 4.76410 + 1.68048i 0.188465 + 0.0664790i
\(640\) −12.8815 + 3.90474i −0.509184 + 0.154348i
\(641\) 28.9169 + 13.2161i 1.14215 + 0.522004i 0.894599 0.446870i \(-0.147462\pi\)
0.247552 + 0.968875i \(0.420374\pi\)
\(642\) 1.38187 + 2.37006i 0.0545380 + 0.0935389i
\(643\) 5.92848 5.57864i 0.233796 0.220000i −0.559509 0.828824i \(-0.689010\pi\)
0.793305 + 0.608824i \(0.208358\pi\)
\(644\) −5.43046 7.85911i −0.213990 0.309692i
\(645\) −3.86224 1.94772i −0.152075 0.0766913i
\(646\) 27.5577 43.9692i 1.08424 1.72995i
\(647\) −27.7483 21.4925i −1.09090 0.844959i −0.102183 0.994766i \(-0.532583\pi\)
−0.988715 + 0.149807i \(0.952135\pi\)
\(648\) −1.54137 12.2897i −0.0605506 0.482785i
\(649\) −29.4791 4.17722i −1.15716 0.163970i
\(650\) 30.8113 + 30.5170i 1.20852 + 1.19698i
\(651\) −5.29558 1.90614i −0.207550 0.0747076i
\(652\) 5.82150 + 2.43867i 0.227988 + 0.0955055i
\(653\) −2.98912 34.5191i −0.116973 1.35084i −0.790858 0.612000i \(-0.790365\pi\)
0.673885 0.738837i \(-0.264624\pi\)
\(654\) −12.1803 1.64653i −0.476288 0.0643846i
\(655\) 17.8187 10.0108i 0.696235 0.391155i
\(656\) 1.67984 + 8.79380i 0.0655867 + 0.343340i
\(657\) −1.90669 + 25.8659i −0.0743869 + 1.00913i
\(658\) −24.4507 + 49.6646i −0.953189 + 1.93613i
\(659\) −13.1961 + 6.34004i −0.514046 + 0.246973i −0.672104 0.740457i \(-0.734609\pi\)
0.158058 + 0.987430i \(0.449477\pi\)
\(660\) 0.990631 + 0.239003i 0.0385603 + 0.00930318i
\(661\) −10.2408 + 13.6677i −0.398322 + 0.531612i −0.954009 0.299780i \(-0.903087\pi\)
0.555686 + 0.831392i \(0.312456\pi\)
\(662\) −1.39625 + 1.59255i −0.0542669 + 0.0618962i
\(663\) −6.49561 9.14805i −0.252268 0.355281i
\(664\) −5.01857 + 6.35243i −0.194758 + 0.246522i
\(665\) −2.25322 + 24.2169i −0.0873763 + 0.939093i
\(666\) −29.6413 + 14.9481i −1.14858 + 0.579226i
\(667\) 15.8921 + 8.66273i 0.615343 + 0.335422i
\(668\) −4.67808 + 9.35071i −0.181000 + 0.361790i
\(669\) −2.38338 + 1.07091i −0.0921468 + 0.0414037i
\(670\) −23.0199 4.62681i −0.889336 0.178749i
\(671\) 9.27421 + 8.95345i 0.358027 + 0.345644i
\(672\) −5.37751 + 3.59003i −0.207442 + 0.138488i
\(673\) −11.7295 + 35.7877i −0.452138 + 1.37951i 0.427562 + 0.903986i \(0.359373\pi\)
−0.879700 + 0.475529i \(0.842257\pi\)
\(674\) 25.9288 + 31.5557i 0.998739 + 1.21548i
\(675\) 7.86593 3.65603i 0.302760 0.140721i
\(676\) 24.5729 24.3382i 0.945113 0.936085i
\(677\) 15.7108 11.6934i 0.603815 0.449412i −0.251258 0.967920i \(-0.580844\pi\)
0.855073 + 0.518508i \(0.173512\pi\)
\(678\) −1.60861 + 0.465226i −0.0617784 + 0.0178669i
\(679\) 8.88476 22.6177i 0.340966 0.867989i
\(680\) −3.24962 7.05044i −0.124617 0.270372i
\(681\) 0.0893496 + 3.98918i 0.00342388 + 0.152866i
\(682\) −16.7501 + 3.47829i −0.641396 + 0.133191i
\(683\) 10.2568 10.8304i 0.392465 0.414412i −0.499645 0.866231i \(-0.666536\pi\)
0.892110 + 0.451818i \(0.149224\pi\)
\(684\) 14.8616 15.8952i 0.568248 0.607766i
\(685\) 9.16862 + 0.646373i 0.350315 + 0.0246966i
\(686\) 0.803094 27.8847i 0.0306623 1.06464i
\(687\) −2.50048 + 2.81547i −0.0953991 + 0.107417i
\(688\) 28.4868 36.5363i 1.08605 1.39293i
\(689\) −30.4825 3.52628i −1.16129 0.134341i
\(690\) −2.42770 + 0.635263i −0.0924210 + 0.0241840i
\(691\) −11.1383 35.5131i −0.423720 1.35098i −0.885769 0.464127i \(-0.846368\pi\)
0.462049 0.886854i \(-0.347114\pi\)
\(692\) −14.7829 7.33675i −0.561963 0.278901i
\(693\) 17.0152 0.980906i 0.646352 0.0372615i
\(694\) 2.96230 3.25072i 0.112447 0.123396i
\(695\) −2.20530 4.01508i −0.0836518 0.152301i
\(696\) 1.92537 3.40153i 0.0729811 0.128935i
\(697\) −6.97227 + 2.35951i −0.264094 + 0.0893729i
\(698\) −52.5812 9.52222i −1.99023 0.360421i
\(699\) 2.80472 0.107726i 0.106084 0.00407459i
\(700\) 8.93128 + 7.10245i 0.337571 + 0.268447i
\(701\) 39.4356 + 23.8463i 1.48946 + 0.900661i 0.999583 + 0.0288707i \(0.00919112\pi\)
0.489879 + 0.871791i \(0.337041\pi\)
\(702\) −11.5158 25.4113i −0.434635 0.959089i
\(703\) 44.2861 + 19.2215i 1.67028 + 0.724953i
\(704\) 0.370042 0.802852i 0.0139465 0.0302586i
\(705\) 3.49338 + 3.64178i 0.131568 + 0.137157i
\(706\) −33.3325 + 16.5428i −1.25448 + 0.622598i
\(707\) −5.86274 + 3.34330i −0.220491 + 0.125738i
\(708\) 2.05433 + 5.88387i 0.0772064 + 0.221129i
\(709\) 12.4256 2.41484i 0.466654 0.0906912i 0.0480206 0.998846i \(-0.484709\pi\)
0.418634 + 0.908155i \(0.362509\pi\)
\(710\) 3.50277 + 0.797799i 0.131456 + 0.0299409i
\(711\) 17.7154 + 21.2808i 0.664378 + 0.798091i
\(712\) 29.2511 0.561546i 1.09623 0.0210448i
\(713\) 11.2057 9.38916i 0.419658 0.351627i
\(714\) −5.64920 6.36085i −0.211416 0.238049i
\(715\) 15.9515 1.02203i 0.596552 0.0382217i
\(716\) −0.275386 0.533285i −0.0102916 0.0199298i
\(717\) −1.27598 7.45315i −0.0476524 0.278343i
\(718\) 0.497180 + 3.14558i 0.0185546 + 0.117392i
\(719\) −41.4841 + 1.06195i −1.54710 + 0.0396041i −0.789758 0.613418i \(-0.789794\pi\)
−0.757339 + 0.653022i \(0.773501\pi\)
\(720\) −3.88056 15.8616i −0.144620 0.591126i
\(721\) 13.6520 13.3496i 0.508426 0.497165i
\(722\) −57.8429 3.33458i −2.15269 0.124100i
\(723\) −0.328776 0.187489i −0.0122273 0.00697277i
\(724\) 0.735688 3.98959i 0.0273416 0.148272i
\(725\) −21.1691 4.39591i −0.786200 0.163260i
\(726\) 3.93994 2.74107i 0.146225 0.101731i
\(727\) −31.5785 + 19.6514i −1.17118 + 0.728828i −0.968157 0.250345i \(-0.919456\pi\)
−0.203024 + 0.979174i \(0.565077\pi\)
\(728\) −20.3821 + 25.1314i −0.755409 + 0.931430i
\(729\) 18.5053 1.30459i 0.685381 0.0483182i
\(730\) 0.766847 + 18.4279i 0.0283823 + 0.682048i
\(731\) 32.9669 + 19.0803i 1.21932 + 0.705712i
\(732\) 0.774498 2.58477i 0.0286263 0.0955360i
\(733\) −11.4692 + 20.5684i −0.423624 + 0.759709i −0.998276 0.0586880i \(-0.981308\pi\)
0.574653 + 0.818397i \(0.305137\pi\)
\(734\) −46.2260 9.90811i −1.70623 0.365715i
\(735\) 0.671311 + 0.266188i 0.0247617 + 0.00981851i
\(736\) −1.02024 16.7639i −0.0376065 0.617925i
\(737\) 19.1033 14.4093i 0.703681 0.530772i
\(738\) −8.81454 + 1.19155i −0.324468 + 0.0438615i
\(739\) 9.29249 + 41.4104i 0.341830 + 1.52331i 0.780786 + 0.624798i \(0.214819\pi\)
−0.438957 + 0.898508i \(0.644652\pi\)
\(740\) −6.84251 + 4.50504i −0.251536 + 0.165608i
\(741\) −8.59534 + 17.7446i −0.315758 + 0.651863i
\(742\) −23.2670 0.148873i −0.854159 0.00546529i
\(743\) 21.2273 + 22.7036i 0.778755 + 0.832913i 0.989486 0.144631i \(-0.0461995\pi\)
−0.210731 + 0.977544i \(0.567584\pi\)
\(744\) −1.98862 2.45200i −0.0729065 0.0898947i
\(745\) −24.6352 8.51296i −0.902564 0.311891i
\(746\) −49.5000 18.8984i −1.81232 0.691919i
\(747\) −10.4976 9.26321i −0.384086 0.338923i
\(748\) −8.58778 2.60320i −0.314001 0.0951825i
\(749\) 9.12653 + 6.70246i 0.333476 + 0.244902i
\(750\) 6.03439 3.70187i 0.220345 0.135173i
\(751\) 0.0964966 30.1628i 0.00352121 1.10066i −0.833181 0.553000i \(-0.813483\pi\)
0.836702 0.547658i \(-0.184480\pi\)
\(752\) −45.5207 + 29.1422i −1.65997 + 1.06271i
\(753\) 0.154988 0.149628i 0.00564809 0.00545274i
\(754\) −14.7916 + 67.9485i −0.538680 + 2.47454i
\(755\) −4.91932 + 20.1075i −0.179033 + 0.731787i
\(756\) −3.73814 6.31809i −0.135955 0.229787i
\(757\) −16.4915 + 16.7574i −0.599393 + 0.609058i −0.944103 0.329651i \(-0.893069\pi\)
0.344710 + 0.938709i \(0.387977\pi\)
\(758\) 20.7728 28.8622i 0.754501 1.04832i
\(759\) 1.15881 2.27971i 0.0420623 0.0827481i
\(760\) −8.11056 + 10.9702i −0.294201 + 0.397930i
\(761\) −15.4231 + 22.9429i −0.559085 + 0.831681i −0.997755 0.0669675i \(-0.978668\pi\)
0.438670 + 0.898648i \(0.355450\pi\)
\(762\) 4.36587 + 2.06330i 0.158159 + 0.0747455i
\(763\) −48.8214 + 13.7817i −1.76745 + 0.498931i
\(764\) 3.88208 + 8.28284i 0.140449 + 0.299663i
\(765\) 12.4801 4.94863i 0.451221 0.178918i
\(766\) −9.23527 + 1.55068i −0.333684 + 0.0560285i
\(767\) 58.1141 + 78.6039i 2.09838 + 2.83822i
\(768\) −7.91778 + 0.354863i −0.285708 + 0.0128050i
\(769\) 6.14948 + 3.61187i 0.221756 + 0.130248i 0.613124 0.789987i \(-0.289913\pi\)
−0.391368 + 0.920234i \(0.627998\pi\)