Properties

Label 983.2.c.a.492.5
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 492.5
Character \(\chi\) \(=\) 983.492
Dual form 983.2.c.a.2.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.815103 - 2.43422i) q^{2} +(1.99272 - 1.11954i) q^{3} +(-3.66431 + 2.76391i) q^{4} +(0.269938 + 0.407156i) q^{5} +(-4.34946 - 3.93817i) q^{6} +(0.302286 + 0.667041i) q^{7} +(5.48157 + 3.76178i) q^{8} +(1.15702 - 1.89966i) q^{9} +O(q^{10})\) \(q+(-0.815103 - 2.43422i) q^{2} +(1.99272 - 1.11954i) q^{3} +(-3.66431 + 2.76391i) q^{4} +(0.269938 + 0.407156i) q^{5} +(-4.34946 - 3.93817i) q^{6} +(0.302286 + 0.667041i) q^{7} +(5.48157 + 3.76178i) q^{8} +(1.15702 - 1.89966i) q^{9} +(0.771079 - 0.988963i) q^{10} +(4.53664 - 0.290667i) q^{11} +(-4.20763 + 9.61001i) q^{12} +(0.900447 - 1.04039i) q^{13} +(1.37733 - 1.27954i) q^{14} +(0.993736 + 0.509140i) q^{15} +(2.16687 - 7.58322i) q^{16} +(-3.64166 - 1.60836i) q^{17} +(-5.56728 - 1.26802i) q^{18} +(3.65716 - 2.79541i) q^{19} +(-2.11448 - 0.745859i) q^{20} +(1.34915 + 0.990803i) q^{21} +(-4.40538 - 10.8063i) q^{22} +(0.465205 - 4.39010i) q^{23} +(15.1347 + 1.35935i) q^{24} +(1.85371 - 4.38569i) q^{25} +(-3.26650 - 1.34386i) q^{26} +(-0.0623822 + 1.77195i) q^{27} +(-2.95131 - 1.60875i) q^{28} +(-0.311575 - 0.450920i) q^{29} +(0.429361 - 2.83397i) q^{30} +(0.0749012 - 0.111421i) q^{31} +(-6.94236 + 0.311146i) q^{32} +(8.71483 - 5.65815i) q^{33} +(-0.946769 + 10.1756i) q^{34} +(-0.189991 + 0.303138i) q^{35} +(1.01081 + 10.1588i) q^{36} +(-4.98277 - 1.23595i) q^{37} +(-9.78559 - 6.62377i) q^{38} +(0.629577 - 3.08129i) q^{39} +(-0.0519479 + 3.24730i) q^{40} +(1.33724 - 0.120108i) q^{41} +(1.31214 - 4.09172i) q^{42} +(2.35832 - 3.23288i) q^{43} +(-15.8203 + 13.6040i) q^{44} +(1.08578 - 0.0417038i) q^{45} +(-11.0657 + 2.44598i) q^{46} +(-2.50885 + 8.37293i) q^{47} +(-4.17173 - 17.5371i) q^{48} +(4.26115 - 4.86022i) q^{49} +(-12.1867 - 0.937540i) q^{50} +(-9.05742 + 0.871968i) q^{51} +(-0.423961 + 6.30107i) q^{52} +(2.40305 + 2.20396i) q^{53} +(4.36415 - 1.29247i) q^{54} +(1.34296 + 1.76866i) q^{55} +(-0.852264 + 4.79356i) q^{56} +(4.15811 - 9.66477i) q^{57} +(-0.843671 + 1.12599i) q^{58} +(-13.7131 + 1.05497i) q^{59} +(-5.04857 + 0.880951i) q^{60} +(-0.904609 + 0.767866i) q^{61} +(-0.332276 - 0.0915062i) q^{62} +(1.61690 + 0.197539i) q^{63} +(0.743022 + 1.92765i) q^{64} +(0.666667 + 0.0857803i) q^{65} +(-20.8767 - 16.6018i) q^{66} +(7.74629 + 6.66109i) q^{67} +(17.7895 - 4.17170i) q^{68} +(-3.98786 - 9.26904i) q^{69} +(0.892765 + 0.215391i) q^{70} +(-5.15286 - 4.20648i) q^{71} +(13.4884 - 6.06066i) q^{72} +(9.34847 - 6.68300i) q^{73} +(1.05290 + 13.1366i) q^{74} +(-1.21602 - 10.8147i) q^{75} +(-5.67469 + 20.3513i) q^{76} +(1.56525 + 2.93826i) q^{77} +(-8.01370 + 0.979044i) q^{78} +(3.78412 + 0.560935i) q^{79} +(3.67247 - 1.16475i) q^{80} +(4.92114 + 9.52980i) q^{81} +(-1.38236 - 3.15724i) q^{82} +(0.781737 + 0.242439i) q^{83} +(-7.68218 + 0.0983120i) q^{84} +(-0.328171 - 1.91688i) q^{85} +(-9.79182 - 3.10554i) q^{86} +(-1.12570 - 0.549735i) q^{87} +(25.9613 + 15.4726i) q^{88} +(5.71837 - 3.76492i) q^{89} +(-0.986541 - 2.60904i) q^{90} +(0.966178 + 0.286139i) q^{91} +(10.4292 + 17.3725i) q^{92} +(0.0245168 - 0.305885i) q^{93} +(22.4265 - 0.717709i) q^{94} +(2.12537 + 0.734445i) q^{95} +(-13.4858 + 8.39224i) q^{96} +(-5.66393 - 0.290172i) q^{97} +(-15.3041 - 6.41099i) q^{98} +(4.69682 - 8.95440i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.815103 2.43422i −0.576365 1.72125i −0.686305 0.727314i \(-0.740769\pi\)
0.109940 0.993938i \(-0.464934\pi\)
\(3\) 1.99272 1.11954i 1.15049 0.646365i 0.207193 0.978300i \(-0.433567\pi\)
0.943302 + 0.331936i \(0.107702\pi\)
\(4\) −3.66431 + 2.76391i −1.83215 + 1.38195i
\(5\) 0.269938 + 0.407156i 0.120720 + 0.182086i 0.888836 0.458225i \(-0.151514\pi\)
−0.768116 + 0.640310i \(0.778806\pi\)
\(6\) −4.34946 3.93817i −1.77566 1.60775i
\(7\) 0.302286 + 0.667041i 0.114253 + 0.252118i 0.959198 0.282737i \(-0.0912422\pi\)
−0.844944 + 0.534854i \(0.820366\pi\)
\(8\) 5.48157 + 3.76178i 1.93803 + 1.32999i
\(9\) 1.15702 1.89966i 0.385673 0.633221i
\(10\) 0.771079 0.988963i 0.243836 0.312738i
\(11\) 4.53664 0.290667i 1.36785 0.0876395i 0.637362 0.770565i \(-0.280026\pi\)
0.730488 + 0.682925i \(0.239293\pi\)
\(12\) −4.20763 + 9.61001i −1.21464 + 2.77417i
\(13\) 0.900447 1.04039i 0.249739 0.288553i −0.617369 0.786674i \(-0.711801\pi\)
0.867108 + 0.498121i \(0.165976\pi\)
\(14\) 1.37733 1.27954i 0.368107 0.341971i
\(15\) 0.993736 + 0.509140i 0.256582 + 0.131459i
\(16\) 2.16687 7.58322i 0.541717 1.89580i
\(17\) −3.64166 1.60836i −0.883233 0.390085i −0.0878085 0.996137i \(-0.527986\pi\)
−0.795425 + 0.606052i \(0.792752\pi\)
\(18\) −5.56728 1.26802i −1.31222 0.298875i
\(19\) 3.65716 2.79541i 0.839009 0.641310i −0.0962173 0.995360i \(-0.530674\pi\)
0.935226 + 0.354050i \(0.115196\pi\)
\(20\) −2.11448 0.745859i −0.472812 0.166779i
\(21\) 1.34915 + 0.990803i 0.294408 + 0.216211i
\(22\) −4.40538 10.8063i −0.939230 2.30390i
\(23\) 0.465205 4.39010i 0.0970020 0.915400i −0.834339 0.551252i \(-0.814150\pi\)
0.931341 0.364148i \(-0.118640\pi\)
\(24\) 15.1347 + 1.35935i 3.08935 + 0.277477i
\(25\) 1.85371 4.38569i 0.370742 0.877138i
\(26\) −3.26650 1.34386i −0.640614 0.263552i
\(27\) −0.0623822 + 1.77195i −0.0120055 + 0.341011i
\(28\) −2.95131 1.60875i −0.557745 0.304026i
\(29\) −0.311575 0.450920i −0.0578581 0.0837337i 0.792709 0.609600i \(-0.208670\pi\)
−0.850567 + 0.525866i \(0.823741\pi\)
\(30\) 0.429361 2.83397i 0.0783902 0.517410i
\(31\) 0.0749012 0.111421i 0.0134527 0.0200118i −0.823125 0.567861i \(-0.807771\pi\)
0.836577 + 0.547849i \(0.184553\pi\)
\(32\) −6.94236 + 0.311146i −1.22725 + 0.0550033i
\(33\) 8.71483 5.65815i 1.51706 0.984958i
\(34\) −0.946769 + 10.1756i −0.162370 + 1.74510i
\(35\) −0.189991 + 0.303138i −0.0321144 + 0.0512396i
\(36\) 1.01081 + 10.1588i 0.168469 + 1.69314i
\(37\) −4.98277 1.23595i −0.819163 0.203189i −0.191319 0.981528i \(-0.561276\pi\)
−0.627844 + 0.778339i \(0.716063\pi\)
\(38\) −9.78559 6.62377i −1.58743 1.07452i
\(39\) 0.629577 3.08129i 0.100813 0.493401i
\(40\) −0.0519479 + 3.24730i −0.00821369 + 0.513444i
\(41\) 1.33724 0.120108i 0.208842 0.0187577i 0.0154570 0.999881i \(-0.495080\pi\)
0.193385 + 0.981123i \(0.438053\pi\)
\(42\) 1.31214 4.09172i 0.202467 0.631367i
\(43\) 2.35832 3.23288i 0.359641 0.493010i −0.589541 0.807738i \(-0.700691\pi\)
0.949182 + 0.314728i \(0.101913\pi\)
\(44\) −15.8203 + 13.6040i −2.38500 + 2.05088i
\(45\) 1.08578 0.0417038i 0.161859 0.00621684i
\(46\) −11.0657 + 2.44598i −1.63154 + 0.360639i
\(47\) −2.50885 + 8.37293i −0.365954 + 1.22132i 0.555067 + 0.831805i \(0.312692\pi\)
−0.921021 + 0.389512i \(0.872644\pi\)
\(48\) −4.17173 17.5371i −0.602138 2.53126i
\(49\) 4.26115 4.86022i 0.608736 0.694317i
\(50\) −12.1867 0.937540i −1.72346 0.132588i
\(51\) −9.05742 + 0.871968i −1.26829 + 0.122100i
\(52\) −0.423961 + 6.30107i −0.0587929 + 0.873802i
\(53\) 2.40305 + 2.20396i 0.330085 + 0.302737i 0.823793 0.566891i \(-0.191854\pi\)
−0.493708 + 0.869628i \(0.664359\pi\)
\(54\) 4.36415 1.29247i 0.593886 0.175883i
\(55\) 1.34296 + 1.76866i 0.181085 + 0.238486i
\(56\) −0.852264 + 4.79356i −0.113889 + 0.640567i
\(57\) 4.15811 9.66477i 0.550756 1.28013i
\(58\) −0.843671 + 1.12599i −0.110779 + 0.147849i
\(59\) −13.7131 + 1.05497i −1.78530 + 0.137345i −0.926819 0.375508i \(-0.877468\pi\)
−0.858476 + 0.512854i \(0.828588\pi\)
\(60\) −5.04857 + 0.880951i −0.651768 + 0.113730i
\(61\) −0.904609 + 0.767866i −0.115823 + 0.0983152i −0.703176 0.711016i \(-0.748235\pi\)
0.587353 + 0.809331i \(0.300170\pi\)
\(62\) −0.332276 0.0915062i −0.0421991 0.0116213i
\(63\) 1.61690 + 0.197539i 0.203711 + 0.0248876i
\(64\) 0.743022 + 1.92765i 0.0928777 + 0.240956i
\(65\) 0.666667 + 0.0857803i 0.0826899 + 0.0106397i
\(66\) −20.8767 16.6018i −2.56974 2.04354i
\(67\) 7.74629 + 6.66109i 0.946360 + 0.813782i 0.982633 0.185560i \(-0.0594099\pi\)
−0.0362725 + 0.999342i \(0.511548\pi\)
\(68\) 17.7895 4.17170i 2.15730 0.505893i
\(69\) −3.98786 9.26904i −0.480082 1.11586i
\(70\) 0.892765 + 0.215391i 0.106706 + 0.0257442i
\(71\) −5.15286 4.20648i −0.611532 0.499217i 0.275269 0.961367i \(-0.411233\pi\)
−0.886802 + 0.462150i \(0.847078\pi\)
\(72\) 13.4884 6.06066i 1.58962 0.714256i
\(73\) 9.34847 6.68300i 1.09416 0.782186i 0.116666 0.993171i \(-0.462779\pi\)
0.977489 + 0.210985i \(0.0676672\pi\)
\(74\) 1.05290 + 13.1366i 0.122397 + 1.52710i
\(75\) −1.21602 10.8147i −0.140414 1.24878i
\(76\) −5.67469 + 20.3513i −0.650932 + 2.33445i
\(77\) 1.56525 + 2.93826i 0.178377 + 0.334846i
\(78\) −8.01370 + 0.979044i −0.907373 + 0.110855i
\(79\) 3.78412 + 0.560935i 0.425747 + 0.0631101i 0.356070 0.934459i \(-0.384117\pi\)
0.0696775 + 0.997570i \(0.477803\pi\)
\(80\) 3.67247 1.16475i 0.410595 0.130223i
\(81\) 4.92114 + 9.52980i 0.546793 + 1.05887i
\(82\) −1.38236 3.15724i −0.152656 0.348659i
\(83\) 0.781737 + 0.242439i 0.0858067 + 0.0266111i 0.338815 0.940853i \(-0.389974\pi\)
−0.253008 + 0.967464i \(0.581420\pi\)
\(84\) −7.68218 + 0.0983120i −0.838194 + 0.0107267i
\(85\) −0.328171 1.91688i −0.0355951 0.207915i
\(86\) −9.79182 3.10554i −1.05588 0.334878i
\(87\) −1.12570 0.549735i −0.120688 0.0589378i
\(88\) 25.9613 + 15.4726i 2.76749 + 1.64938i
\(89\) 5.71837 3.76492i 0.606146 0.399080i −0.209352 0.977840i \(-0.567135\pi\)
0.815498 + 0.578760i \(0.196463\pi\)
\(90\) −0.986541 2.60904i −0.103991 0.275017i
\(91\) 0.966178 + 0.286139i 0.101283 + 0.0299955i
\(92\) 10.4292 + 17.3725i 1.08732 + 1.81121i
\(93\) 0.0245168 0.305885i 0.00254228 0.0317188i
\(94\) 22.4265 0.717709i 2.31312 0.0740260i
\(95\) 2.12537 + 0.734445i 0.218059 + 0.0753525i
\(96\) −13.4858 + 8.39224i −1.37639 + 0.856530i
\(97\) −5.66393 0.290172i −0.575085 0.0294625i −0.238544 0.971132i \(-0.576670\pi\)
−0.336540 + 0.941669i \(0.609257\pi\)
\(98\) −15.3041 6.41099i −1.54595 0.647608i
\(99\) 4.69682 8.95440i 0.472048 0.899951i
\(100\) 5.32909 + 21.1940i 0.532909 + 2.11940i
\(101\) 3.30001 2.39115i 0.328363 0.237928i −0.410381 0.911914i \(-0.634604\pi\)
0.738744 + 0.673986i \(0.235419\pi\)
\(102\) 9.50529 + 21.3370i 0.941164 + 2.11268i
\(103\) 5.34010 2.07802i 0.526176 0.204753i −0.0848063 0.996397i \(-0.527027\pi\)
0.610982 + 0.791644i \(0.290775\pi\)
\(104\) 8.84959 2.31570i 0.867774 0.227073i
\(105\) −0.0392249 + 0.816769i −0.00382796 + 0.0797085i
\(106\) 3.40618 7.64601i 0.330837 0.742646i
\(107\) 1.27253 + 6.03104i 0.123020 + 0.583043i 0.995530 + 0.0944462i \(0.0301080\pi\)
−0.872510 + 0.488596i \(0.837509\pi\)
\(108\) −4.66891 6.66538i −0.449266 0.641376i
\(109\) −8.74361 + 10.3677i −0.837486 + 0.993048i 0.162494 + 0.986710i \(0.448046\pi\)
−0.999980 + 0.00633862i \(0.997982\pi\)
\(110\) 3.21065 4.71070i 0.306123 0.449148i
\(111\) −11.3129 + 3.11550i −1.07378 + 0.295710i
\(112\) 5.71333 0.846909i 0.539859 0.0800254i
\(113\) −3.90923 + 1.90907i −0.367749 + 0.179590i −0.613407 0.789767i \(-0.710202\pi\)
0.245658 + 0.969357i \(0.420996\pi\)
\(114\) −26.9154 2.24397i −2.52086 0.210167i
\(115\) 1.91303 0.995646i 0.178391 0.0928445i
\(116\) 2.38801 + 0.791143i 0.221721 + 0.0734558i
\(117\) −0.934560 2.91430i −0.0864001 0.269427i
\(118\) 13.7456 + 32.5208i 1.26539 + 2.99378i
\(119\) −0.0279808 2.91532i −0.00256499 0.267247i
\(120\) 3.53196 + 6.52911i 0.322422 + 0.596023i
\(121\) 9.58659 1.23351i 0.871508 0.112137i
\(122\) 2.60650 + 1.57612i 0.235982 + 0.142696i
\(123\) 2.53028 1.73643i 0.228148 0.156569i
\(124\) 0.0334968 + 0.615302i 0.00300811 + 0.0552557i
\(125\) 4.68667 0.879743i 0.419189 0.0786866i
\(126\) −0.837090 4.09691i −0.0745739 0.364982i
\(127\) −7.19045 + 17.3201i −0.638049 + 1.53691i 0.193289 + 0.981142i \(0.438084\pi\)
−0.831338 + 0.555767i \(0.812425\pi\)
\(128\) −6.62356 + 5.47806i −0.585445 + 0.484196i
\(129\) 1.08013 9.08245i 0.0951006 0.799665i
\(130\) −0.334595 1.69273i −0.0293459 0.148463i
\(131\) −2.21693 + 1.13585i −0.193694 + 0.0992393i −0.550124 0.835083i \(-0.685420\pi\)
0.356430 + 0.934322i \(0.383994\pi\)
\(132\) −16.2952 + 44.8202i −1.41831 + 3.90110i
\(133\) 2.97016 + 1.59446i 0.257545 + 0.138257i
\(134\) 9.90052 24.2856i 0.855274 2.09796i
\(135\) −0.738298 + 0.452917i −0.0635426 + 0.0389809i
\(136\) −13.9117 22.5155i −1.19292 1.93069i
\(137\) −2.98115 + 5.26676i −0.254697 + 0.449970i −0.968023 0.250863i \(-0.919286\pi\)
0.713326 + 0.700832i \(0.247188\pi\)
\(138\) −19.3123 + 17.2625i −1.64398 + 1.46948i
\(139\) 5.23028 + 9.97142i 0.443626 + 0.845765i 0.999891 + 0.0147600i \(0.00469841\pi\)
−0.556265 + 0.831005i \(0.687766\pi\)
\(140\) −0.141659 1.63591i −0.0119723 0.138259i
\(141\) 4.37437 + 19.4936i 0.368388 + 1.64166i
\(142\) −6.03937 + 15.9719i −0.506812 + 1.34033i
\(143\) 3.78260 4.98162i 0.316317 0.416584i
\(144\) −11.8984 12.8903i −0.991536 1.07419i
\(145\) 0.0994885 0.248580i 0.00826207 0.0206435i
\(146\) −23.8878 17.3089i −1.97697 1.43249i
\(147\) 3.05007 14.4556i 0.251566 1.19227i
\(148\) 21.6745 9.24303i 1.78163 0.759773i
\(149\) 2.25159 8.71839i 0.184457 0.714239i −0.807738 0.589542i \(-0.799308\pi\)
0.992195 0.124696i \(-0.0397957\pi\)
\(150\) −25.3342 + 11.7752i −2.06853 + 0.961440i
\(151\) 14.2267 + 5.12090i 1.15775 + 0.416733i 0.845871 0.533388i \(-0.179081\pi\)
0.311882 + 0.950121i \(0.399041\pi\)
\(152\) 30.5627 1.56577i 2.47896 0.127001i
\(153\) −7.26882 + 5.05702i −0.587649 + 0.408836i
\(154\) 5.87653 6.20515i 0.473544 0.500025i
\(155\) 0.0655845 0.000419639i 0.00526788 3.37062e-5i
\(156\) 6.20945 + 13.0309i 0.497154 + 1.04331i
\(157\) −6.31058 + 6.83661i −0.503639 + 0.545621i −0.934111 0.356983i \(-0.883805\pi\)
0.430472 + 0.902604i \(0.358347\pi\)
\(158\) −1.71901 9.66860i −0.136757 0.769192i
\(159\) 7.25602 + 1.70156i 0.575440 + 0.134942i
\(160\) −2.00069 2.74263i −0.158169 0.216824i
\(161\) 3.06900 1.01676i 0.241871 0.0801315i
\(162\) 19.1864 19.7469i 1.50742 1.55146i
\(163\) −3.45726 0.881074i −0.270793 0.0690111i 0.109135 0.994027i \(-0.465192\pi\)
−0.379928 + 0.925016i \(0.624051\pi\)
\(164\) −4.56811 + 4.13613i −0.356709 + 0.322978i
\(165\) 4.65622 + 2.02094i 0.362486 + 0.157330i
\(166\) −0.0470476 2.10053i −0.00365160 0.163033i
\(167\) −0.836598 + 4.53682i −0.0647379 + 0.351070i −0.999996 0.00289696i \(-0.999078\pi\)
0.935258 + 0.353967i \(0.115167\pi\)
\(168\) 3.66825 + 10.5064i 0.283012 + 0.810583i
\(169\) 1.59345 + 10.9919i 0.122573 + 0.845529i
\(170\) −4.39862 + 2.36130i −0.337359 + 0.181103i
\(171\) −1.07892 10.1817i −0.0825073 0.778614i
\(172\) 0.293781 + 18.3645i 0.0224006 + 1.40028i
\(173\) −20.2092 3.79350i −1.53648 0.288415i −0.653172 0.757210i \(-0.726562\pi\)
−0.883307 + 0.468795i \(0.844688\pi\)
\(174\) −0.420612 + 3.18829i −0.0318865 + 0.241704i
\(175\) 3.48579 0.0892327i 0.263501 0.00674536i
\(176\) 7.62612 35.0322i 0.574841 2.64065i
\(177\) −26.1453 + 17.4546i −1.96520 + 1.31197i
\(178\) −13.8257 10.8510i −1.03628 0.813315i
\(179\) 11.9980 5.76443i 0.896772 0.430854i 0.0727104 0.997353i \(-0.476835\pi\)
0.824062 + 0.566500i \(0.191703\pi\)
\(180\) −3.86338 + 3.15382i −0.287959 + 0.235072i
\(181\) 9.10655 18.2025i 0.676884 1.35298i −0.246515 0.969139i \(-0.579285\pi\)
0.923399 0.383841i \(-0.125399\pi\)
\(182\) −0.0910104 2.58512i −0.00674614 0.191622i
\(183\) −0.942974 + 2.54288i −0.0697066 + 0.187975i
\(184\) 19.0647 22.3146i 1.40547 1.64506i
\(185\) −0.841817 2.36240i −0.0618916 0.173687i
\(186\) −0.764575 + 0.189649i −0.0560614 + 0.0139057i
\(187\) −16.9884 6.23805i −1.24232 0.456171i
\(188\) −13.9488 37.6152i −1.01732 2.74337i
\(189\) −1.20082 + 0.494023i −0.0873467 + 0.0359349i
\(190\) 0.0554013 5.77227i 0.00401923 0.418765i
\(191\) −14.6382 + 7.73796i −1.05919 + 0.559899i −0.903800 0.427955i \(-0.859234\pi\)
−0.155385 + 0.987854i \(0.549662\pi\)
\(192\) 3.63870 + 3.00941i 0.262601 + 0.217185i
\(193\) −6.44268 + 6.14070i −0.463754 + 0.442017i −0.885460 0.464716i \(-0.846157\pi\)
0.421706 + 0.906733i \(0.361431\pi\)
\(194\) 3.91034 + 14.0238i 0.280746 + 1.00685i
\(195\) 1.42451 0.575423i 0.102011 0.0412069i
\(196\) −2.18096 + 29.5868i −0.155783 + 2.11334i
\(197\) −9.72918 2.61249i −0.693175 0.186132i −0.104528 0.994522i \(-0.533333\pi\)
−0.588647 + 0.808390i \(0.700339\pi\)
\(198\) −25.6253 4.13432i −1.82111 0.293814i
\(199\) −4.66418 7.23445i −0.330635 0.512837i 0.635078 0.772448i \(-0.280968\pi\)
−0.965713 + 0.259611i \(0.916406\pi\)
\(200\) 26.6593 17.0672i 1.88509 1.20683i
\(201\) 22.8935 + 4.60140i 1.61478 + 0.324558i
\(202\) −8.51042 6.08390i −0.598791 0.428062i
\(203\) 0.206597 0.344140i 0.0145003 0.0241539i
\(204\) 30.7791 28.2290i 2.15497 1.97643i
\(205\) 0.409876 + 0.512045i 0.0286270 + 0.0357628i
\(206\) −9.41109 11.3052i −0.655702 0.787669i
\(207\) −7.80146 5.96317i −0.542239 0.414469i
\(208\) −5.93838 9.08268i −0.411752 0.629771i
\(209\) 15.7787 13.7448i 1.09143 0.950746i
\(210\) 2.02017 0.570269i 0.139405 0.0393523i
\(211\) 1.09056 6.62466i 0.0750774 0.456061i −0.922470 0.386068i \(-0.873833\pi\)
0.997548 0.0699923i \(-0.0222975\pi\)
\(212\) −14.8971 1.43416i −1.02314 0.0984984i
\(213\) −14.9775 2.61350i −1.02624 0.179074i
\(214\) 13.6436 8.01353i 0.932659 0.547794i
\(215\) 1.95289 + 0.0875255i 0.133186 + 0.00596919i
\(216\) −7.00763 + 9.47837i −0.476809 + 0.644922i
\(217\) 0.0969641 + 0.0162812i 0.00658235 + 0.00110524i
\(218\) 32.3642 + 12.8331i 2.19198 + 0.869166i
\(219\) 11.1470 23.7833i 0.753243 1.60712i
\(220\) −9.80944 2.76909i −0.661352 0.186692i
\(221\) −4.95245 + 2.34052i −0.333138 + 0.157440i
\(222\) 16.8050 + 24.9987i 1.12788 + 1.67780i
\(223\) 7.45817 + 10.0878i 0.499436 + 0.675526i 0.979439 0.201741i \(-0.0646598\pi\)
−0.480003 + 0.877267i \(0.659365\pi\)
\(224\) −2.30612 4.53678i −0.154084 0.303126i
\(225\) −6.18655 8.59575i −0.412437 0.573050i
\(226\) 7.83351 + 7.95983i 0.521077 + 0.529480i
\(227\) −7.54000 + 12.7439i −0.500448 + 0.845840i −0.999789 0.0205656i \(-0.993453\pi\)
0.499341 + 0.866406i \(0.333576\pi\)
\(228\) 11.4759 + 46.9073i 0.760013 + 3.10651i
\(229\) 3.63461 + 16.6963i 0.240182 + 1.10332i 0.926580 + 0.376099i \(0.122735\pi\)
−0.686398 + 0.727226i \(0.740809\pi\)
\(230\) −3.98294 3.84518i −0.262627 0.253544i
\(231\) 6.40859 + 4.10277i 0.421654 + 0.269942i
\(232\) −0.0116573 3.64382i −0.000765338 0.239229i
\(233\) 3.63271 + 2.22853i 0.237987 + 0.145996i 0.636781 0.771045i \(-0.280266\pi\)
−0.398794 + 0.917041i \(0.630571\pi\)
\(234\) −6.33228 + 4.65038i −0.413954 + 0.304005i
\(235\) −4.08632 + 1.23868i −0.266562 + 0.0808026i
\(236\) 47.3332 41.7675i 3.08113 2.71884i
\(237\) 8.16867 3.11868i 0.530612 0.202580i
\(238\) −7.07373 + 2.44440i −0.458522 + 0.158447i
\(239\) 5.99116 7.38718i 0.387536 0.477837i −0.545247 0.838275i \(-0.683564\pi\)
0.932783 + 0.360438i \(0.117373\pi\)
\(240\) 6.01422 6.43248i 0.388216 0.415215i
\(241\) −6.40876 + 0.0410061i −0.412825 + 0.00264143i −0.212673 0.977123i \(-0.568217\pi\)
−0.200152 + 0.979765i \(0.564144\pi\)
\(242\) −10.8167 22.3304i −0.695323 1.43545i
\(243\) 16.0327 + 10.5558i 1.02850 + 0.677153i
\(244\) 1.19245 5.31395i 0.0763389 0.340191i
\(245\) 3.12912 + 0.422994i 0.199912 + 0.0270241i
\(246\) −6.28930 4.74388i −0.400991 0.302459i
\(247\) 0.384753 6.32200i 0.0244812 0.402259i
\(248\) 0.829719 0.329000i 0.0526872 0.0208915i
\(249\) 1.82920 0.392071i 0.115921 0.0248465i
\(250\) −5.96161 10.6913i −0.377045 0.676177i
\(251\) −4.72868 15.7813i −0.298472 0.996105i −0.967501 0.252869i \(-0.918626\pi\)
0.669029 0.743236i \(-0.266710\pi\)
\(252\) −6.47081 + 3.74513i −0.407623 + 0.235921i
\(253\) 0.834411 20.0516i 0.0524590 1.26063i
\(254\) 48.0218 + 3.38546i 3.01316 + 0.212423i
\(255\) −2.79997 3.45240i −0.175341 0.216198i
\(256\) 22.2417 + 13.8410i 1.39010 + 0.865064i
\(257\) 22.5152 + 15.6642i 1.40446 + 0.977103i 0.997986 + 0.0634412i \(0.0202075\pi\)
0.406475 + 0.913662i \(0.366758\pi\)
\(258\) −22.9891 + 4.77385i −1.43124 + 0.297207i
\(259\) −0.681793 3.69733i −0.0423646 0.229741i
\(260\) −2.67996 + 1.52828i −0.166204 + 0.0947801i
\(261\) −1.21709 + 0.0701641i −0.0753362 + 0.00434305i
\(262\) 4.57193 + 4.47067i 0.282454 + 0.276199i
\(263\) −3.07610 + 12.5734i −0.189680 + 0.775309i 0.795806 + 0.605552i \(0.207048\pi\)
−0.985486 + 0.169757i \(0.945702\pi\)
\(264\) 69.0557 + 1.76776i 4.25008 + 0.108798i
\(265\) −0.248678 + 1.57335i −0.0152762 + 0.0966502i
\(266\) 1.46028 8.52966i 0.0895355 0.522987i
\(267\) 7.18013 13.9043i 0.439417 0.850932i
\(268\) −46.7955 2.99823i −2.85849 0.183146i
\(269\) 13.3062 14.9825i 0.811296 0.913496i −0.186322 0.982489i \(-0.559657\pi\)
0.997617 + 0.0689925i \(0.0219784\pi\)
\(270\) 1.70429 + 1.42800i 0.103720 + 0.0869055i
\(271\) −27.7426 0.532587i −1.68524 0.0323524i −0.832291 0.554339i \(-0.812971\pi\)
−0.852954 + 0.521987i \(0.825191\pi\)
\(272\) −20.0876 + 24.1304i −1.21799 + 1.46312i
\(273\) 2.24566 0.511478i 0.135914 0.0309560i
\(274\) 15.2504 + 2.96381i 0.921309 + 0.179050i
\(275\) 7.13484 20.4351i 0.430247 1.23228i
\(276\) 40.2315 + 22.9425i 2.42165 + 1.38098i
\(277\) 25.8972 + 12.8527i 1.55601 + 0.772246i 0.998328 0.0578077i \(-0.0184110\pi\)
0.557684 + 0.830053i \(0.311690\pi\)
\(278\) 20.0094 20.8594i 1.20008 1.25106i
\(279\) −0.125000 0.271204i −0.00748357 0.0162365i
\(280\) −2.18179 + 0.946963i −0.130387 + 0.0565918i
\(281\) −0.0572671 + 0.126369i −0.00341627 + 0.00753853i −0.912537 0.408995i \(-0.865879\pi\)
0.909120 + 0.416533i \(0.136755\pi\)
\(282\) 43.8862 26.5375i 2.61338 1.58028i
\(283\) 13.7034 10.8974i 0.814581 0.647781i −0.124215 0.992255i \(-0.539641\pi\)
0.938796 + 0.344474i \(0.111943\pi\)
\(284\) 30.5080 + 1.17178i 1.81032 + 0.0695325i
\(285\) 5.05750 0.915892i 0.299581 0.0542527i
\(286\) −15.2096 5.14713i −0.899360 0.304356i
\(287\) 0.484347 + 0.855690i 0.0285901 + 0.0505098i
\(288\) −7.44137 + 13.5481i −0.438487 + 0.798331i
\(289\) −0.775572 0.851084i −0.0456219 0.0500637i
\(290\) −0.686192 0.0395582i −0.0402946 0.00232294i
\(291\) −11.6115 + 5.76274i −0.680676 + 0.337818i
\(292\) −15.7845 + 50.3269i −0.923716 + 2.94516i
\(293\) 3.84773 + 1.00685i 0.224787 + 0.0588206i 0.363828 0.931466i \(-0.381469\pi\)
−0.139042 + 0.990287i \(0.544402\pi\)
\(294\) −37.6741 + 4.35823i −2.19720 + 0.254177i
\(295\) −4.13123 5.29860i −0.240530 0.308496i
\(296\) −22.6640 25.5191i −1.31732 1.48327i
\(297\) 0.232041 + 8.05682i 0.0134644 + 0.467504i
\(298\) −23.0577 + 1.62553i −1.33570 + 0.0941646i
\(299\) −4.14854 4.43705i −0.239916 0.256601i
\(300\) 34.3468 + 36.2675i 1.98301 + 2.09391i
\(301\) 2.86935 + 0.595842i 0.165387 + 0.0343438i
\(302\) 0.869153 38.8050i 0.0500141 2.23297i
\(303\) 3.89900 8.45935i 0.223991 0.485977i
\(304\) −13.2736 33.7903i −0.761293 1.93801i
\(305\) −0.556830 0.161040i −0.0318840 0.00922114i
\(306\) 18.2347 + 13.5719i 1.04241 + 0.775854i
\(307\) −18.1393 17.9661i −1.03527 1.02538i −0.999662 0.0260107i \(-0.991720\pi\)
−0.0356036 0.999366i \(-0.511335\pi\)
\(308\) −13.8567 6.44049i −0.789556 0.366981i
\(309\) 8.31489 10.1193i 0.473018 0.575669i
\(310\) −0.0524367 0.159989i −0.00297820 0.00908677i
\(311\) 0.498262 + 0.332640i 0.0282538 + 0.0188623i 0.569284 0.822141i \(-0.307220\pi\)
−0.541031 + 0.841003i \(0.681966\pi\)
\(312\) 15.0422 14.5220i 0.851598 0.822145i
\(313\) −17.2309 + 3.46327i −0.973949 + 0.195756i −0.657998 0.753020i \(-0.728597\pi\)
−0.315951 + 0.948775i \(0.602324\pi\)
\(314\) 21.7856 + 9.78878i 1.22943 + 0.552413i
\(315\) 0.356035 + 0.711655i 0.0200603 + 0.0400972i
\(316\) −15.4166 + 8.40353i −0.867249 + 0.472736i
\(317\) −26.5799 13.4042i −1.49287 0.752853i −0.499342 0.866405i \(-0.666425\pi\)
−0.993532 + 0.113551i \(0.963777\pi\)
\(318\) −1.77244 19.0497i −0.0993937 1.06825i
\(319\) −1.54457 1.95510i −0.0864795 0.109464i
\(320\) −0.584282 + 0.822871i −0.0326624 + 0.0459999i
\(321\) 9.28776 + 10.5935i 0.518392 + 0.591272i
\(322\) −4.97656 6.64186i −0.277333 0.370137i
\(323\) −17.8142 + 4.29790i −0.991206 + 0.239142i
\(324\) −44.3721 21.3185i −2.46512 1.18436i
\(325\) −2.89368 5.87767i −0.160512 0.326034i
\(326\) 0.673297 + 9.13389i 0.0372905 + 0.505879i
\(327\) −5.81648 + 30.4487i −0.321652 + 1.68382i
\(328\) 7.78201 + 4.37204i 0.429690 + 0.241406i
\(329\) −6.34348 + 0.857511i −0.349727 + 0.0472761i
\(330\) 1.12411 12.9815i 0.0618804 0.714609i
\(331\) 17.0195 7.12959i 0.935477 0.391878i 0.134732 0.990882i \(-0.456983\pi\)
0.800746 + 0.599005i \(0.204437\pi\)
\(332\) −3.53460 + 1.27228i −0.193986 + 0.0698254i
\(333\) −8.11306 + 8.03556i −0.444593 + 0.440346i
\(334\) 11.7255 1.66152i 0.641593 0.0909143i
\(335\) −0.621081 + 4.95203i −0.0339333 + 0.270559i
\(336\) 10.4369 8.08393i 0.569380 0.441015i
\(337\) 3.94762 + 6.29856i 0.215041 + 0.343105i 0.937304 0.348514i \(-0.113314\pi\)
−0.722263 + 0.691618i \(0.756898\pi\)
\(338\) 25.4578 12.8383i 1.38472 0.698312i
\(339\) −5.65271 + 8.18075i −0.307013 + 0.444317i
\(340\) 6.50061 + 6.11702i 0.352545 + 0.331742i
\(341\) 0.307414 0.527250i 0.0166474 0.0285522i
\(342\) −23.9050 + 10.9255i −1.29264 + 0.590782i
\(343\) 9.43598 + 2.86031i 0.509495 + 0.154442i
\(344\) 25.0887 8.84977i 1.35269 0.477148i
\(345\) 2.69747 4.12575i 0.145227 0.222123i
\(346\) 7.23839 + 52.2857i 0.389138 + 2.81090i
\(347\) −4.12920 + 1.82368i −0.221667 + 0.0979004i −0.511864 0.859066i \(-0.671045\pi\)
0.290197 + 0.956967i \(0.406279\pi\)
\(348\) 5.64434 1.09694i 0.302568 0.0588021i
\(349\) 0.0977777 0.674488i 0.00523392 0.0361045i −0.986874 0.161495i \(-0.948369\pi\)
0.992108 + 0.125390i \(0.0400182\pi\)
\(350\) −3.05849 8.41243i −0.163483 0.449663i
\(351\) 1.78735 + 1.66045i 0.0954016 + 0.0886280i
\(352\) −31.4046 + 3.42947i −1.67387 + 0.182792i
\(353\) −7.67873 + 7.70334i −0.408698 + 0.410007i −0.882267 0.470749i \(-0.843984\pi\)
0.473569 + 0.880757i \(0.342965\pi\)
\(354\) 63.7993 + 49.4160i 3.39090 + 2.62643i
\(355\) 0.321737 3.23351i 0.0170760 0.171617i
\(356\) −10.5480 + 29.6009i −0.559042 + 1.56884i
\(357\) −3.31957 5.77809i −0.175690 0.305809i
\(358\) −23.8115 24.5071i −1.25848 1.29524i
\(359\) 4.44559 + 2.31372i 0.234629 + 0.122114i 0.574929 0.818203i \(-0.305030\pi\)
−0.340300 + 0.940317i \(0.610529\pi\)
\(360\) 6.10867 + 3.85588i 0.321955 + 0.203223i
\(361\) 0.574467 2.11237i 0.0302351 0.111177i
\(362\) −51.7316 7.33042i −2.71895 0.385278i
\(363\) 17.7224 13.1906i 0.930185 0.692325i
\(364\) −4.33123 + 1.62193i −0.227018 + 0.0850121i
\(365\) 5.24453 + 2.00229i 0.274511 + 0.104804i
\(366\) 6.95855 + 0.222692i 0.363729 + 0.0116403i
\(367\) −1.87304 + 16.6579i −0.0977719 + 0.869536i 0.844698 + 0.535244i \(0.179780\pi\)
−0.942470 + 0.334292i \(0.891503\pi\)
\(368\) −32.2831 13.0405i −1.68287 0.679785i
\(369\) 1.31905 2.67928i 0.0686672 0.139478i
\(370\) −5.06442 + 3.97476i −0.263287 + 0.206638i
\(371\) −0.743721 + 2.26916i −0.0386121 + 0.117809i
\(372\) 0.755602 + 1.18862i 0.0391762 + 0.0616271i
\(373\) 1.22750 + 29.4978i 0.0635576 + 1.52734i 0.676046 + 0.736860i \(0.263692\pi\)
−0.612488 + 0.790480i \(0.709831\pi\)
\(374\) −1.33745 + 46.4382i −0.0691577 + 2.40126i
\(375\) 8.35430 6.99998i 0.431414 0.361477i
\(376\) −45.2496 + 36.4590i −2.33357 + 1.88023i
\(377\) −0.749691 0.0818685i −0.0386110 0.00421644i
\(378\) 2.18135 + 2.52037i 0.112197 + 0.129634i
\(379\) 7.54506 2.33994i 0.387564 0.120194i −0.0962682 0.995355i \(-0.530691\pi\)
0.483832 + 0.875161i \(0.339245\pi\)
\(380\) −9.81796 + 3.18311i −0.503651 + 0.163290i
\(381\) 5.06194 + 42.5640i 0.259331 + 2.18062i
\(382\) 30.7675 + 29.3254i 1.57420 + 1.50042i
\(383\) −3.31608 + 6.22489i −0.169444 + 0.318077i −0.952855 0.303427i \(-0.901869\pi\)
0.783411 + 0.621504i \(0.213478\pi\)
\(384\) −7.06598 + 18.3315i −0.360585 + 0.935476i
\(385\) −0.773810 + 1.43045i −0.0394370 + 0.0729025i
\(386\) 20.1992 + 10.6776i 1.02811 + 0.543474i
\(387\) −3.41276 8.22053i −0.173480 0.417873i
\(388\) 21.5564 14.5913i 1.09436 0.740761i
\(389\) −34.1732 + 12.5482i −1.73265 + 0.636218i −0.999059 0.0433755i \(-0.986189\pi\)
−0.733589 + 0.679593i \(0.762156\pi\)
\(390\) −2.56183 2.99855i −0.129723 0.151837i
\(391\) −8.75499 + 15.2391i −0.442759 + 0.770672i
\(392\) 41.6409 10.6121i 2.10318 0.535991i
\(393\) −3.14610 + 4.74536i −0.158700 + 0.239372i
\(394\) 1.57093 + 25.8124i 0.0791421 + 1.30041i
\(395\) 0.793092 + 1.69215i 0.0399048 + 0.0851411i
\(396\) 7.53855 + 45.7932i 0.378826 + 2.30120i
\(397\) 1.68746 + 25.0796i 0.0846911 + 1.25871i 0.816558 + 0.577263i \(0.195879\pi\)
−0.731867 + 0.681448i \(0.761351\pi\)
\(398\) −13.8084 + 17.2504i −0.692154 + 0.864687i
\(399\) 7.70374 0.147892i 0.385669 0.00740386i
\(400\) −29.2409 23.5603i −1.46205 1.17802i
\(401\) −12.4031 12.4428i −0.619381 0.621366i 0.326765 0.945106i \(-0.394041\pi\)
−0.946146 + 0.323740i \(0.895060\pi\)
\(402\) −7.45974 59.4784i −0.372058 2.96651i
\(403\) −0.0484772 0.178256i −0.00241482 0.00887954i
\(404\) −5.48332 + 17.8828i −0.272805 + 0.889704i
\(405\) −2.55171 + 4.57613i −0.126795 + 0.227390i
\(406\) −1.00611 0.222393i −0.0499324 0.0110372i
\(407\) −22.9643 4.15874i −1.13830 0.206141i
\(408\) −52.9290 29.2923i −2.62038 1.45019i
\(409\) −5.66615 + 6.29830i −0.280173 + 0.311431i −0.867026 0.498263i \(-0.833971\pi\)
0.586853 + 0.809693i \(0.300367\pi\)
\(410\) 0.912338 1.41510i 0.0450572 0.0698867i
\(411\) −0.0442533 + 13.8327i −0.00218285 + 0.682315i
\(412\) −13.8243 + 22.3741i −0.681076 + 1.10229i
\(413\) −4.84899 8.82831i −0.238603 0.434413i
\(414\) −8.15666 + 23.8510i −0.400878 + 1.17221i
\(415\) 0.112310 + 0.383732i 0.00551310 + 0.0188367i
\(416\) −5.92751 + 7.50295i −0.290620 + 0.367862i
\(417\) 21.5858 + 14.0147i 1.05706 + 0.686304i
\(418\) −46.3190 27.2053i −2.26554 1.33066i
\(419\) 6.94248 + 5.89304i 0.339162 + 0.287894i 0.800502 0.599329i \(-0.204566\pi\)
−0.461340 + 0.887223i \(0.652631\pi\)
\(420\) −2.11374 3.10131i −0.103140 0.151328i
\(421\) 37.4212 + 3.84438i 1.82380 + 0.187364i 0.952733 0.303809i \(-0.0982584\pi\)
0.871062 + 0.491172i \(0.163432\pi\)
\(422\) −17.0148 + 2.74512i −0.828267 + 0.133630i
\(423\) 13.0029 + 14.4536i 0.632225 + 0.702759i
\(424\) 4.88168 + 21.1209i 0.237076 + 1.02572i
\(425\) −13.8044 + 12.9898i −0.669610 + 0.630097i
\(426\) 5.84638 + 38.5888i 0.283258 + 1.86963i
\(427\) −0.785649 0.371296i −0.0380202 0.0179683i
\(428\) −21.3322 18.5824i −1.03113 0.898216i
\(429\) 1.96053 14.1617i 0.0946555 0.683734i
\(430\) −1.37875 4.82510i −0.0664893 0.232687i
\(431\) 2.28034 11.5364i 0.109840 0.555687i −0.885931 0.463817i \(-0.846479\pi\)
0.995771 0.0918697i \(-0.0292843\pi\)
\(432\) 13.3019 + 4.31264i 0.639987 + 0.207492i
\(433\) −27.5871 0.353044i −1.32575 0.0169662i −0.653296 0.757103i \(-0.726614\pi\)
−0.672457 + 0.740137i \(0.734761\pi\)
\(434\) −0.0394039 0.249303i −0.00189145 0.0119669i
\(435\) −0.0800422 0.606731i −0.00383773 0.0290905i
\(436\) 3.38381 62.1571i 0.162055 2.97678i
\(437\) −10.5708 17.3557i −0.505670 0.830237i
\(438\) −66.9796 7.74836i −3.20041 0.370231i
\(439\) −11.0418 4.29676i −0.526998 0.205073i 0.0843482 0.996436i \(-0.473119\pi\)
−0.611346 + 0.791363i \(0.709372\pi\)
\(440\) 0.708216 + 14.7470i 0.0337629 + 0.703033i
\(441\) −4.30253 13.7181i −0.204883 0.653244i
\(442\) 9.73409 + 10.1476i 0.463004 + 0.482671i
\(443\) −1.68097 + 4.27921i −0.0798654 + 0.203311i −0.965127 0.261782i \(-0.915690\pi\)
0.885262 + 0.465093i \(0.153979\pi\)
\(444\) 32.8432 42.6841i 1.55867 2.02570i
\(445\) 3.07652 + 1.31197i 0.145841 + 0.0621935i
\(446\) 18.4766 26.3774i 0.874893 1.24900i
\(447\) −5.27378 19.8940i −0.249441 0.940955i
\(448\) −1.06121 + 1.07833i −0.0501376 + 0.0509461i
\(449\) −6.75324 1.04526i −0.318705 0.0493289i −0.00839641 0.999965i \(-0.502673\pi\)
−0.310309 + 0.950636i \(0.600432\pi\)
\(450\) −15.8813 + 22.0658i −0.748650 + 1.04019i
\(451\) 6.03169 0.933579i 0.284021 0.0439605i
\(452\) 9.04813 17.8002i 0.425588 0.837249i
\(453\) 34.0828 5.72281i 1.60135 0.268881i
\(454\) 37.1672 + 7.96644i 1.74434 + 0.373884i
\(455\) 0.144305 + 0.470625i 0.00676514 + 0.0220632i
\(456\) 59.1498 37.3362i 2.76994 1.74843i
\(457\) 37.1491 3.09715i 1.73776 0.144879i 0.828194 0.560441i \(-0.189368\pi\)
0.909565 + 0.415562i \(0.136415\pi\)
\(458\) 37.6799 22.4567i 1.76067 1.04933i
\(459\) 3.07711 6.35250i 0.143627 0.296509i
\(460\) −4.25807 + 8.93580i −0.198533 + 0.416634i
\(461\) −4.87009 12.1683i −0.226823 0.566735i 0.770691 0.637209i \(-0.219911\pi\)
−0.997514 + 0.0704740i \(0.977549\pi\)
\(462\) 4.76337 18.9441i 0.221612 0.881359i
\(463\) −20.6281 18.4387i −0.958671 0.856918i 0.0311099 0.999516i \(-0.490096\pi\)
−0.989781 + 0.142598i \(0.954454\pi\)
\(464\) −4.09456 + 1.38566i −0.190085 + 0.0643276i
\(465\) 0.131161 0.0725880i 0.00608245 0.00336619i
\(466\) 2.46368 10.6593i 0.114128 0.493782i
\(467\) −12.2058 20.9343i −0.564817 0.968725i −0.997733 0.0672910i \(-0.978564\pi\)
0.432917 0.901434i \(-0.357484\pi\)
\(468\) 11.4794 + 8.09585i 0.530634 + 0.374231i
\(469\) −2.10163 + 7.18065i −0.0970441 + 0.331572i
\(470\) 6.34600 + 8.93735i 0.292719 + 0.412249i
\(471\) −4.92135 + 20.6883i −0.226764 + 0.953269i
\(472\) −79.1379 45.8029i −3.64262 2.10825i
\(473\) 9.75917 15.3519i 0.448727 0.705883i
\(474\) −14.2498 17.3423i −0.654517 0.796557i
\(475\) −5.48049 21.2210i −0.251462 0.973688i
\(476\) 8.16022 + 10.6053i 0.374023 + 0.486094i
\(477\) 6.96716 2.01497i 0.319004 0.0922589i
\(478\) −22.8654 8.56247i −1.04584 0.391638i
\(479\) 31.5193 + 27.8131i 1.44015 + 1.27081i 0.904568 + 0.426329i \(0.140193\pi\)
0.535584 + 0.844482i \(0.320092\pi\)
\(480\) −7.05729 3.22544i −0.322120 0.147220i
\(481\) −5.77260 + 4.07114i −0.263208 + 0.185628i
\(482\) 5.32362 + 15.5669i 0.242484 + 0.709053i
\(483\) 4.97736 5.46197i 0.226478 0.248528i
\(484\) −31.7189 + 31.0164i −1.44177 + 1.40984i
\(485\) −1.41077 2.38443i −0.0640596 0.108271i
\(486\) 12.6267 47.6311i 0.572760 2.16059i
\(487\) −0.149560 0.177341i −0.00677722 0.00803608i 0.761043 0.648701i \(-0.224687\pi\)
−0.767821 + 0.640665i \(0.778659\pi\)
\(488\) −7.84722 + 0.806167i −0.355227 + 0.0364935i
\(489\) −7.87573 + 2.11480i −0.356153 + 0.0956344i
\(490\) −1.52089 7.96173i −0.0687070 0.359674i
\(491\) −9.06372 + 27.0678i −0.409040 + 1.22155i 0.520829 + 0.853661i \(0.325623\pi\)
−0.929869 + 0.367892i \(0.880080\pi\)
\(492\) −4.47239 + 13.3563i −0.201631 + 0.602148i
\(493\) 0.409410 + 2.14322i 0.0184389 + 0.0965259i
\(494\) −15.7027 + 4.21651i −0.706499 + 0.189710i
\(495\) 4.91369 0.504797i 0.220854 0.0226889i
\(496\) −0.682630 0.809428i −0.0306510 0.0363444i
\(497\) 1.24826 4.70873i 0.0559919 0.211215i
\(498\) −2.44537 4.13309i −0.109580 0.185208i
\(499\) 4.59277 4.49106i 0.205601 0.201047i −0.589080 0.808075i \(-0.700510\pi\)
0.794681 + 0.607027i \(0.207638\pi\)
\(500\) −14.7419 + 16.1772i −0.659277 + 0.723466i
\(501\) 3.41204 + 9.97720i 0.152439 + 0.445749i
\(502\) −34.5607 + 24.3740i −1.54252 + 1.08786i
\(503\) −10.5795 4.83524i −0.471719 0.215593i 0.165600 0.986193i \(-0.447044\pi\)
−0.637318 + 0.770601i \(0.719956\pi\)
\(504\) 8.12006 + 7.16526i 0.361696 + 0.319166i
\(505\) 1.86437 + 0.698154i 0.0829633 + 0.0310675i
\(506\) −49.4900 + 14.3129i −2.20010 + 0.636288i
\(507\) 15.4811 + 20.1198i 0.687540 + 0.893550i
\(508\) −21.5231 83.3399i −0.954934 3.69761i
\(509\) −8.04392 9.78956i −0.356540 0.433915i 0.563273 0.826271i \(-0.309542\pi\)
−0.919813 + 0.392356i \(0.871660\pi\)
\(510\) −6.12164 + 9.62981i −0.271071 + 0.426415i
\(511\) 7.28375 + 4.21564i 0.322214 + 0.186489i
\(512\) 11.5845 48.6988i 0.511967 2.15220i
\(513\) 4.72517 + 6.65467i 0.208621 + 0.293811i
\(514\) 19.7777 67.5748i 0.872359 2.98060i
\(515\) 2.28758 + 1.61332i 0.100803 + 0.0710913i
\(516\) 21.1451 + 36.2663i 0.930862 + 1.59653i
\(517\) −8.94804 + 38.7142i −0.393534 + 1.70265i
\(518\) −8.44436 + 4.67333i −0.371024 + 0.205335i
\(519\) −44.5182 + 15.0656i −1.95413 + 0.661306i
\(520\) 3.33169 + 2.97807i 0.146104 + 0.130597i
\(521\) 7.80332 31.0341i 0.341870 1.35963i −0.520721 0.853727i \(-0.674337\pi\)
0.862591 0.505902i \(-0.168840\pi\)
\(522\) 1.16285 + 2.90548i 0.0508966 + 0.127169i
\(523\) −4.21711 + 8.84986i −0.184402 + 0.386977i −0.973967 0.226688i \(-0.927210\pi\)
0.789566 + 0.613666i \(0.210306\pi\)
\(524\) 4.98416 10.2895i 0.217734 0.449499i
\(525\) 6.84628 4.08028i 0.298796 0.178078i
\(526\) 33.1137 2.76072i 1.44383 0.120373i
\(527\) −0.451971 + 0.285290i −0.0196882 + 0.0124274i
\(528\) −24.0231 78.3469i −1.04547 3.40961i
\(529\) 3.43262 + 0.735749i 0.149244 + 0.0319891i
\(530\) 4.03258 0.677106i 0.175164 0.0294116i
\(531\) −13.8623 + 27.2709i −0.601571 + 1.18346i
\(532\) −15.2905 + 2.36665i −0.662928 + 0.102607i
\(533\) 1.07916 1.49941i 0.0467435 0.0649466i
\(534\) −39.6987 6.14453i −1.71793 0.265900i
\(535\) −2.11207 + 2.14613i −0.0913127 + 0.0927851i
\(536\) 17.4042 + 65.6531i 0.751748 + 2.83578i
\(537\) 17.4551 24.9191i 0.753244 1.07534i
\(538\) −47.3165 20.1780i −2.03996 0.869937i
\(539\) 17.9186 23.2877i 0.771810 1.00307i
\(540\) 1.45353 3.70022i 0.0625499 0.159232i
\(541\) 15.1272 + 15.7698i 0.650369 + 0.677996i 0.962263 0.272121i \(-0.0877250\pi\)
−0.311894 + 0.950117i \(0.600963\pi\)
\(542\) 21.3167 + 67.9657i 0.915630 + 2.91938i
\(543\) −2.23158 46.4675i −0.0957663 1.99411i
\(544\) 25.7822 + 10.0327i 1.10540 + 0.430150i
\(545\) −6.58152 0.761365i −0.281921 0.0326133i
\(546\) −3.07549 5.04952i −0.131619 0.216099i
\(547\) −0.765686 + 14.0648i −0.0327384 + 0.601369i 0.935804 + 0.352521i \(0.114675\pi\)
−0.968542 + 0.248849i \(0.919948\pi\)
\(548\) −3.63300 27.5387i −0.155194 1.17639i
\(549\) 0.412035 + 2.60689i 0.0175852 + 0.111259i
\(550\) −55.5592 0.711014i −2.36905 0.0303177i
\(551\) −2.39998 0.778104i −0.102243 0.0331484i
\(552\) 13.0084 65.8103i 0.553676 2.80107i
\(553\) 0.769721 + 2.69373i 0.0327318 + 0.114549i
\(554\) 10.1774 73.5157i 0.432398 3.12338i
\(555\) −4.32229 3.76514i −0.183471 0.159821i
\(556\) −46.7255 22.0824i −1.98160 0.936500i
\(557\) 3.89400 + 25.7021i 0.164994 + 1.08903i 0.907762 + 0.419486i \(0.137790\pi\)
−0.742768 + 0.669549i \(0.766487\pi\)
\(558\) −0.558280 + 0.525337i −0.0236339 + 0.0222393i
\(559\) −1.23993 5.36462i −0.0524433 0.226899i
\(560\) 1.88707 + 2.09760i 0.0797433 + 0.0886399i
\(561\) −40.8368 + 6.58850i −1.72413 + 0.278167i
\(562\) 0.354288 + 0.0363970i 0.0149447 + 0.00153531i
\(563\) 22.4645 + 32.9601i 0.946765 + 1.38910i 0.921054 + 0.389434i \(0.127329\pi\)
0.0257105 + 0.999669i \(0.491815\pi\)
\(564\) −69.9076 59.3403i −2.94364 2.49868i
\(565\) −1.83254 1.07634i −0.0770955 0.0452818i
\(566\) −37.6962 24.4745i −1.58449 1.02874i
\(567\) −4.86918 + 6.16333i −0.204486 + 0.258835i
\(568\) −12.4219 42.4420i −0.521211 1.78083i
\(569\) −13.3987 + 39.1795i −0.561704 + 1.64249i 0.189094 + 0.981959i \(0.439445\pi\)
−0.750799 + 0.660531i \(0.770331\pi\)
\(570\) −6.35187 11.5645i −0.266050 0.484384i
\(571\) 8.50353 13.7626i 0.355862 0.575947i −0.622558 0.782574i \(-0.713907\pi\)
0.978420 + 0.206627i \(0.0662487\pi\)
\(572\) −0.0918454 + 28.7090i −0.00384025 + 1.20038i
\(573\) −20.5069 + 31.8076i −0.856688 + 1.32878i
\(574\) 1.68814 1.87648i 0.0704617 0.0783228i
\(575\) −18.3913 10.1782i −0.766969 0.424461i
\(576\) 4.52157 + 0.818836i 0.188399 + 0.0341181i
\(577\) 33.1157 + 7.31996i 1.37862 + 0.304734i 0.842178 0.539200i \(-0.181273\pi\)
0.536447 + 0.843934i \(0.319766\pi\)
\(578\) −1.43955 + 2.58163i −0.0598775 + 0.107382i
\(579\) −5.96369 + 19.4495i −0.247843 + 0.808293i
\(580\) 0.322497 + 1.18585i 0.0133909 + 0.0492398i
\(581\) 0.0745915 + 0.594736i 0.00309458 + 0.0246738i
\(582\) 23.4923 + 23.5676i 0.973787 + 0.976908i
\(583\) 11.5424 + 9.30009i 0.478038 + 0.385170i
\(584\) 76.3843 1.46638i 3.16080 0.0606793i
\(585\) 0.934301 1.16719i 0.0386286 0.0482575i
\(586\) −0.685415 10.1869i −0.0283142 0.420817i
\(587\) 0.723579 + 4.39541i 0.0298653 + 0.181418i 0.997474 0.0710383i \(-0.0226313\pi\)
−0.967608 + 0.252456i \(0.918762\pi\)
\(588\) 28.7774 + 61.3997i 1.18676 + 2.53208i
\(589\) −0.0375420 0.616864i −0.00154689 0.0254174i
\(590\) −9.53056 + 14.3752i −0.392367 + 0.591819i
\(591\) −22.3123 + 5.68623i −0.917804 + 0.233900i
\(592\) −20.1695 + 35.1073i −0.828962 + 1.44290i
\(593\) 26.1041 + 30.5541i 1.07197 + 1.25471i 0.965503 + 0.260391i \(0.0838514\pi\)
0.106465 + 0.994316i \(0.466047\pi\)
\(594\) 19.4229 7.13198i 0.796932 0.292629i
\(595\) 1.17944 0.798350i 0.0483523 0.0327292i
\(596\) 15.8463 + 38.1701i 0.649091 + 1.56351i
\(597\) −17.3936 9.19448i −0.711873 0.376305i
\(598\) −7.41926 + 13.7151i −0.303396 + 0.560852i
\(599\) −7.23090 + 18.7594i −0.295446 + 0.766486i 0.703022 + 0.711168i \(0.251833\pi\)
−0.998469 + 0.0553187i \(0.982383\pi\)
\(600\) 34.0170 63.8561i 1.38874 2.60691i
\(601\) 9.89972 + 9.43570i 0.403818 + 0.384890i 0.864465 0.502693i \(-0.167657\pi\)
−0.460647 + 0.887584i \(0.652383\pi\)
\(602\) −0.888410 7.47031i −0.0362089 0.304467i
\(603\) 21.6164 7.00832i 0.880289 0.285401i
\(604\) −66.2847 + 20.5568i −2.69709 + 0.836443i
\(605\) 3.09002 + 3.57027i 0.125627 + 0.145152i
\(606\) −23.7700 2.59576i −0.965590 0.105445i
\(607\) 26.8921 21.6678i 1.09152 0.879469i 0.0982323 0.995164i \(-0.468681\pi\)
0.993285 + 0.115694i \(0.0369093\pi\)
\(608\) −24.5195 + 20.5446i −0.994397 + 0.833194i
\(609\) 0.0264120 0.917066i 0.00107027 0.0371614i
\(610\) 0.0618669 + 1.48671i 0.00250492 + 0.0601951i
\(611\) 6.45205 + 10.1496i 0.261022 + 0.410608i
\(612\) 12.6580 38.6209i 0.511671 1.56116i
\(613\) −15.0294 + 11.7957i −0.607033 + 0.476424i −0.873107 0.487528i \(-0.837899\pi\)
0.266074 + 0.963953i \(0.414273\pi\)
\(614\) −28.9479 + 58.7992i −1.16824 + 2.37294i
\(615\) 1.39002 + 0.561489i 0.0560510 + 0.0226414i
\(616\) −2.47309 + 21.9944i −0.0996435 + 0.886180i
\(617\) −35.6101 1.13962i −1.43361 0.0458793i −0.694513 0.719481i \(-0.744380\pi\)
−0.739095 + 0.673601i \(0.764747\pi\)
\(618\) −31.4102 11.9920i −1.26350 0.482387i
\(619\) −5.39345 + 2.01970i −0.216781 + 0.0811786i −0.456724 0.889609i \(-0.650977\pi\)
0.239943 + 0.970787i \(0.422871\pi\)
\(620\) −0.241482 + 0.179732i −0.00969814 + 0.00721821i
\(621\) 7.75001 + 1.09818i 0.310997 + 0.0440686i
\(622\) 0.403583 1.48401i 0.0161822 0.0595035i
\(623\) 4.23994 + 2.67631i 0.169870 + 0.107224i
\(624\) −22.0019 11.4510i −0.880780 0.458406i
\(625\) −14.9666 15.4038i −0.598662 0.616152i
\(626\) 22.4753 + 39.1209i 0.898296 + 1.56359i
\(627\) 16.0546 45.0543i 0.641161 1.79929i
\(628\) 4.22813 42.4933i 0.168721 1.69567i
\(629\) 16.1577 + 12.5150i 0.644251 + 0.499006i
\(630\) 1.44212 1.44674i 0.0574554 0.0576395i
\(631\) 34.0302 3.71621i 1.35472 0.147940i 0.597905 0.801567i \(-0.296000\pi\)
0.756817 + 0.653627i \(0.226753\pi\)
\(632\) 18.6328 + 17.3099i 0.741173 + 0.688549i
\(633\) −5.24337 14.4220i −0.208405 0.573223i
\(634\) −10.9633 + 75.6270i −0.435410 + 3.00353i
\(635\) −8.99295 + 1.74772i −0.356874 + 0.0693562i
\(636\) −31.2912 + 13.8199i −1.24078 + 0.547997i
\(637\) −1.21960 8.80964i −0.0483222 0.349051i
\(638\) −3.50015 + 5.35343i −0.138572 + 0.211944i
\(639\) −13.9528 + 4.92171i −0.551966 + 0.194700i
\(640\) −4.01838 1.21808i −0.158840 0.0481490i
\(641\) 26.7904 12.2442i 1.05816 0.483617i 0.190970 0.981596i \(-0.438837\pi\)
0.867189 + 0.497979i \(0.165924\pi\)
\(642\) 18.2164 31.2432i 0.718944 1.23307i
\(643\) −4.38382 4.12514i −0.172881 0.162680i 0.594008 0.804459i \(-0.297545\pi\)
−0.766889 + 0.641779i \(0.778196\pi\)
\(644\) −8.43556 + 12.2082i −0.332407 + 0.481069i
\(645\) 3.98954 2.01192i 0.157088 0.0792192i
\(646\) 24.9824 + 39.8603i 0.982920 + 1.56828i
\(647\) −3.11347 + 2.41154i −0.122403 + 0.0948076i −0.671715 0.740810i \(-0.734442\pi\)
0.549312 + 0.835618i \(0.314890\pi\)
\(648\) −8.87348 + 70.7505i −0.348583 + 2.77934i
\(649\) −61.9049 + 8.77198i −2.42998 + 0.344330i
\(650\) −11.9489 + 11.8347i −0.468674 + 0.464197i
\(651\) 0.211449 0.0761111i 0.00828735 0.00298303i
\(652\) 15.1037 6.32703i 0.591505 0.247785i
\(653\) 1.91477 22.1123i 0.0749309 0.865320i −0.859955 0.510371i \(-0.829508\pi\)
0.934885 0.354950i \(-0.115502\pi\)
\(654\) 78.8598 10.6603i 3.08366 0.416850i
\(655\) −1.06090 0.596030i −0.0414529 0.0232888i
\(656\) 1.98683 10.4009i 0.0775727 0.406086i
\(657\) −1.87907 25.4913i −0.0733095 0.994510i
\(658\) 7.25796 + 14.7425i 0.282945 + 0.574721i
\(659\) −15.1878 7.29698i −0.591634 0.284250i 0.113257 0.993566i \(-0.463872\pi\)
−0.704891 + 0.709316i \(0.749004\pi\)
\(660\) −22.6475 + 5.46402i −0.881553 + 0.212686i
\(661\) −0.643252 0.858503i −0.0250196 0.0333919i 0.787596 0.616192i \(-0.211326\pi\)
−0.812615 + 0.582800i \(0.801957\pi\)
\(662\) −31.2276 35.6179i −1.21370 1.38433i
\(663\) −7.24854 + 10.2084i −0.281510 + 0.396463i
\(664\) 3.37314 + 4.26967i 0.130903 + 0.165695i
\(665\) 0.152565 + 1.63972i 0.00591623 + 0.0635858i
\(666\) 26.1733 + 13.1991i 1.01419 + 0.511456i
\(667\) −2.12453 + 1.15808i −0.0822621 + 0.0448409i
\(668\) −9.47382 18.9366i −0.366553 0.732679i
\(669\) 26.1556 + 11.7523i 1.01123 + 0.454372i
\(670\) 12.5606 2.52457i 0.485257 0.0975327i
\(671\) −3.88069 + 3.74648i −0.149813 + 0.144631i
\(672\) −9.67454 6.45873i −0.373203 0.249151i
\(673\) −6.41741 19.5801i −0.247373 0.754757i −0.995801 0.0915414i \(-0.970821\pi\)
0.748428 0.663216i \(-0.230809\pi\)
\(674\) 12.1144 14.7433i 0.466628 0.567892i
\(675\) 7.65557 + 3.55826i 0.294663 + 0.136958i
\(676\) −36.2194 35.8735i −1.39306 1.37975i
\(677\) −28.0715 20.8933i −1.07888 0.802995i −0.0975283 0.995233i \(-0.531094\pi\)
−0.981348 + 0.192237i \(0.938426\pi\)
\(678\) 24.5213 + 7.09177i 0.941734 + 0.272358i
\(679\) −1.51857 3.86579i −0.0582773 0.148355i
\(680\) 5.41201 11.7420i 0.207541 0.450286i
\(681\) −0.757863 + 33.8362i −0.0290414 + 1.29661i
\(682\) −1.53401 0.318549i −0.0587404 0.0121979i
\(683\) 31.4984 + 33.2598i 1.20525 + 1.27265i 0.952297 + 0.305174i \(0.0987147\pi\)
0.252957 + 0.967478i \(0.418597\pi\)
\(684\) 32.0948 + 34.3268i 1.22718 + 1.31252i
\(685\) −2.94912 + 0.207908i −0.112680 + 0.00794376i
\(686\) −0.728674 25.3007i −0.0278209 0.965985i
\(687\) 25.9349 + 29.2020i 0.989478 + 1.11412i
\(688\) −19.4055 24.8889i −0.739827 0.948881i
\(689\) 4.45681 0.515574i 0.169791 0.0196418i
\(690\) −12.2417 3.20332i −0.466033 0.121948i
\(691\) −0.689380 + 2.19801i −0.0262252 + 0.0836161i −0.966366 0.257169i \(-0.917210\pi\)
0.940141 + 0.340785i \(0.110693\pi\)
\(692\) 84.5377 41.9559i 3.21364 1.59492i
\(693\) 7.39273 + 0.426183i 0.280827 + 0.0161894i
\(694\) 7.80496 + 8.56487i 0.296272 + 0.325118i
\(695\) −2.64807 + 4.82121i −0.100447 + 0.182879i
\(696\) −4.10262 7.24806i −0.155510 0.274737i
\(697\) −5.06297 1.71338i −0.191774 0.0648989i
\(698\) −1.72155 + 0.311765i −0.0651616 + 0.0118005i
\(699\) 9.73388 + 0.373869i 0.368169 + 0.0141410i
\(700\) −12.5264 + 9.96138i −0.473452 + 0.376505i
\(701\) −34.7799 + 21.0311i −1.31362 + 0.794332i −0.988483 0.151335i \(-0.951643\pi\)
−0.325138 + 0.945667i \(0.605411\pi\)
\(702\) 2.58501 5.70423i 0.0975650 0.215292i
\(703\) −21.6778 + 9.40882i −0.817593 + 0.354860i
\(704\) 3.93113 + 8.52907i 0.148160 + 0.321451i
\(705\) −6.75613 + 7.04313i −0.254451 + 0.265260i
\(706\) 25.0106 + 12.4127i 0.941285 + 0.467158i
\(707\) 2.59254 + 1.47843i 0.0975025 + 0.0556020i
\(708\) 47.5614 136.222i 1.78747 5.11954i
\(709\) −7.20355 1.39996i −0.270535 0.0525767i 0.0536866 0.998558i \(-0.482903\pi\)
−0.324222 + 0.945981i \(0.605102\pi\)
\(710\) −8.13331 + 1.85247i −0.305238 + 0.0695218i
\(711\) 5.44389 6.53954i 0.204162 0.245252i
\(712\) 45.5084 + 0.873645i 1.70550 + 0.0327412i
\(713\) −0.454306 0.380658i −0.0170139 0.0142557i
\(714\) −11.3593 + 12.7903i −0.425112 + 0.478665i
\(715\) 3.04937 + 0.195376i 0.114040 + 0.00730665i
\(716\) −28.0320 + 54.2840i −1.04761 + 2.02869i
\(717\) 3.66846 21.4279i 0.137001 0.800239i
\(718\) 2.00850 12.7075i 0.0749564 0.474238i
\(719\) 17.2176 + 0.440753i 0.642107 + 0.0164373i 0.345289 0.938497i \(-0.387781\pi\)
0.296819 + 0.954934i \(0.404074\pi\)
\(720\) 2.03650 8.32409i 0.0758959 0.310221i
\(721\) 3.00036 + 2.93391i 0.111739 + 0.109265i
\(722\) −5.61022 + 0.323423i −0.208791 + 0.0120366i
\(723\) −12.7249 + 7.25655i −0.473245 + 0.269874i
\(724\) 16.9408 + 91.8692i 0.629601 + 3.41429i
\(725\) −2.55516 + 0.530598i −0.0948964 + 0.0197059i
\(726\) −46.5543 32.3885i −1.72779 1.20205i
\(727\) −19.6026 12.1987i −0.727020 0.452426i 0.113965 0.993485i \(-0.463645\pi\)
−0.840985 + 0.541058i \(0.818024\pi\)
\(728\) 4.21977 + 5.20304i 0.156395 + 0.192837i
\(729\) 11.6696 + 0.822686i 0.432207 + 0.0304699i
\(730\) 0.599165 14.3984i 0.0221761 0.532909i
\(731\) −13.7879 + 7.98004i −0.509963 + 0.295153i
\(732\) −3.57295 11.9242i −0.132060 0.440731i
\(733\) 19.8169 + 35.5388i 0.731954 + 1.31266i 0.942214 + 0.335011i \(0.108740\pi\)
−0.210260 + 0.977646i \(0.567431\pi\)
\(734\) 42.0757 9.01853i 1.55304 0.332880i
\(735\) 6.70899 2.66025i 0.247465 0.0981249i
\(736\) −1.86366 + 30.6224i −0.0686954 + 1.12876i
\(737\) 37.0783 + 27.9674i 1.36580 + 1.03019i
\(738\) −7.59711 1.02698i −0.279653 0.0378035i
\(739\) −0.437837 + 1.95114i −0.0161061 + 0.0717740i −0.983128 0.182920i \(-0.941445\pi\)
0.967022 + 0.254694i \(0.0819747\pi\)
\(740\) 9.61413 + 6.32984i 0.353422 + 0.232690i
\(741\) −6.31100 13.0287i −0.231840 0.478621i
\(742\) 6.12984 0.0392215i 0.225034 0.00143986i
\(743\) −10.9376 + 11.6983i −0.401263 + 0.429169i −0.898858 0.438241i \(-0.855602\pi\)
0.497595 + 0.867410i \(0.334217\pi\)
\(744\) 1.28507 1.58450i 0.0471128 0.0580907i
\(745\) 4.15754 1.43668i 0.152320 0.0526359i
\(746\) 70.8036 27.0318i 2.59230 0.989704i
\(747\) 1.36504 1.20453i 0.0499441 0.0440714i
\(748\) 79.4922 24.0964i 2.90652 0.881050i
\(749\) −3.63828 + 2.67193i −0.132940 + 0.0976301i
\(750\) −23.8491 14.6305i −0.870846 0.534230i
\(751\) 0.0936698 + 29.2792i 0.00341806 + 1.06841i 0.847057 + 0.531503i \(0.178372\pi\)
−0.843639 + 0.536911i \(0.819591\pi\)
\(752\) 58.0574 + 37.1682i 2.11714 + 1.35539i
\(753\) −27.0906 26.1537i −0.987237 0.953093i
\(754\) 0.411790 + 1.89164i 0.0149965 + 0.0688895i
\(755\) 1.75533 + 7.17482i 0.0638829 + 0.261118i
\(756\) 3.03473 5.12921i 0.110372 0.186547i
\(757\) −13.3231 13.5380i −0.484238 0.492046i 0.426813 0.904340i \(-0.359636\pi\)
−0.911051 + 0.412293i \(0.864728\pi\)
\(758\) −11.8459 16.4590i −0.430263 0.597819i
\(759\) −20.7857 40.8912i −0.754473 1.48426i
\(760\) 8.88755 + 12.0211i 0.322385 + 0.436051i
\(761\) 27.2934 + 40.6010i 0.989385 + 1.47178i 0.878379 + 0.477965i \(0.158625\pi\)
0.111006 + 0.993820i \(0.464593\pi\)
\(762\) 99.4840 47.0159i 3.60392 1.70321i
\(763\) −9.55877 2.69833i −0.346051 0.0976860i
\(764\) 32.2520 68.8130i 1.16684 2.48957i
\(765\) −4.02113 1.59446i −0.145384 0.0576478i
\(766\) 17.8557 + 2.99813i 0.645152 + 0.108327i
\(767\) −11.2503 + 15.2170i −0.406226 + 0.549453i
\(768\) 59.8168 + 2.68090i 2.15845 + 0.0967386i
\(769\) 13.2410 7.77706i 0.477483 0.280448i −0.247910 0.968783i \(-0.579744\pi\)
0.725393 + 0.688335i \(0.241658\pi\)
\(770\) 4.11276 + 0.7