Properties

Label 983.2.c.a.2.1
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 2.1
Character \(\chi\) \(=\) 983.2
Dual form 983.2.c.a.492.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.882111 + 2.63433i) q^{2} +(2.23553 + 1.25595i) q^{3} +(-4.56485 - 3.44317i) q^{4} +(-1.70964 + 2.57870i) q^{5} +(-5.28058 + 4.78124i) q^{6} +(0.512184 - 1.13021i) q^{7} +(8.51597 - 5.84418i) q^{8} +(1.85965 + 3.05328i) q^{9} +O(q^{10})\) \(q+(-0.882111 + 2.63433i) q^{2} +(2.23553 + 1.25595i) q^{3} +(-4.56485 - 3.44317i) q^{4} +(-1.70964 + 2.57870i) q^{5} +(-5.28058 + 4.78124i) q^{6} +(0.512184 - 1.13021i) q^{7} +(8.51597 - 5.84418i) q^{8} +(1.85965 + 3.05328i) q^{9} +(-5.28506 - 6.77846i) q^{10} +(-5.61398 - 0.359694i) q^{11} +(-5.88041 - 13.4306i) q^{12} +(-3.50154 - 4.04575i) q^{13} +(2.52555 + 2.34623i) q^{14} +(-7.06070 + 3.61755i) q^{15} +(4.74153 + 16.5935i) q^{16} +(4.33448 - 1.91435i) q^{17} +(-9.68377 + 2.20560i) q^{18} +(-2.94335 - 2.24980i) q^{19} +(16.6832 - 5.88481i) q^{20} +(2.56450 - 1.88335i) q^{21} +(5.89971 - 14.4718i) q^{22} +(0.301498 + 2.84521i) q^{23} +(26.3777 - 2.36918i) q^{24} +(-1.78022 - 4.21182i) q^{25} +(13.7466 - 5.65542i) q^{26} +(0.0518778 + 1.47357i) q^{27} +(-6.22956 + 3.39572i) q^{28} +(-5.24199 + 7.58635i) q^{29} +(-3.30148 - 21.7913i) q^{30} +(-3.68375 - 5.47985i) q^{31} +(-27.2593 - 1.22172i) q^{32} +(-12.0985 - 7.85502i) q^{33} +(1.21953 + 13.1071i) q^{34} +(2.03883 + 3.25303i) q^{35} +(2.02394 - 20.3409i) q^{36} +(0.575850 - 0.142837i) q^{37} +(8.52307 - 5.76919i) q^{38} +(-2.74654 - 13.4422i) q^{39} +(0.511138 + 31.9516i) q^{40} +(2.12981 + 0.191293i) q^{41} +(2.69919 + 8.41706i) q^{42} +(-6.55657 - 8.98801i) q^{43} +(24.3885 + 20.9719i) q^{44} +(-11.0529 - 0.424529i) q^{45} +(-7.76116 - 1.71554i) q^{46} +(0.913525 + 3.04876i) q^{47} +(-10.2409 + 43.0506i) q^{48} +(3.59967 + 4.10574i) q^{49} +(12.6657 - 0.974389i) q^{50} +(12.0942 + 1.16432i) q^{51} +(2.05382 + 30.5247i) q^{52} +(-4.16760 + 3.82231i) q^{53} +(-3.92763 - 1.16319i) q^{54} +(10.5254 - 13.8619i) q^{55} +(-2.24342 - 12.6181i) q^{56} +(-3.75432 - 8.72622i) q^{57} +(-15.3609 - 20.5011i) q^{58} +(-10.1968 - 0.784455i) q^{59} +(44.6869 + 7.79763i) q^{60} +(4.69205 + 3.98279i) q^{61} +(17.6852 - 4.87036i) q^{62} +(4.40334 - 0.537962i) q^{63} +(14.8503 - 38.5265i) q^{64} +(16.4192 - 2.11266i) q^{65} +(31.3649 - 24.9424i) q^{66} +(-7.89844 + 6.79192i) q^{67} +(-26.3777 - 6.18564i) q^{68} +(-2.89944 + 6.73922i) q^{69} +(-10.3680 + 2.50142i) q^{70} +(-2.07112 + 1.69074i) q^{71} +(33.6807 + 15.1335i) q^{72} +(3.88781 + 2.77930i) q^{73} +(-0.131685 + 1.64298i) q^{74} +(1.31012 - 11.6515i) q^{75} +(5.68953 + 20.4045i) q^{76} +(-3.28192 + 6.16077i) q^{77} +(37.8339 + 4.62221i) q^{78} +(0.943524 - 0.139862i) q^{79} +(-50.8962 - 16.1420i) q^{80} +(3.18623 - 6.17013i) q^{81} +(-2.38265 + 5.44186i) q^{82} +(2.00102 - 0.620574i) q^{83} +(-18.1913 - 0.232801i) q^{84} +(-2.47388 + 14.4502i) q^{85} +(29.4610 - 9.34373i) q^{86} +(-21.2468 + 10.3758i) q^{87} +(-49.9106 + 29.7460i) q^{88} +(1.29335 + 0.851528i) q^{89} +(10.8682 - 28.7424i) q^{90} +(-6.36599 + 1.88532i) q^{91} +(8.42024 - 14.0261i) q^{92} +(-1.35270 - 16.8770i) q^{93} +(-8.83726 - 0.282816i) q^{94} +(10.8336 - 3.74368i) q^{95} +(-59.4046 - 36.9676i) q^{96} +(-10.7528 + 0.550884i) q^{97} +(-13.9912 + 5.86099i) q^{98} +(-9.34181 - 17.8100i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.882111 + 2.63433i −0.623747 + 1.86275i −0.133778 + 0.991011i \(0.542711\pi\)
−0.489969 + 0.871740i \(0.662992\pi\)
\(3\) 2.23553 + 1.25595i 1.29069 + 0.725126i 0.974674 0.223630i \(-0.0717906\pi\)
0.316012 + 0.948755i \(0.397656\pi\)
\(4\) −4.56485 3.44317i −2.28243 1.72159i
\(5\) −1.70964 + 2.57870i −0.764575 + 1.15323i 0.219523 + 0.975607i \(0.429550\pi\)
−0.984098 + 0.177624i \(0.943159\pi\)
\(6\) −5.28058 + 4.78124i −2.15579 + 1.95193i
\(7\) 0.512184 1.13021i 0.193587 0.427180i −0.788645 0.614848i \(-0.789217\pi\)
0.982232 + 0.187668i \(0.0600929\pi\)
\(8\) 8.51597 5.84418i 3.01085 2.06623i
\(9\) 1.85965 + 3.05328i 0.619884 + 1.01776i
\(10\) −5.28506 6.77846i −1.67128 2.14354i
\(11\) −5.61398 0.359694i −1.69268 0.108452i −0.812460 0.583018i \(-0.801872\pi\)
−0.880220 + 0.474566i \(0.842605\pi\)
\(12\) −5.88041 13.4306i −1.69753 3.87707i
\(13\) −3.50154 4.04575i −0.971153 1.12209i −0.992491 0.122316i \(-0.960968\pi\)
0.0213379 0.999772i \(-0.493207\pi\)
\(14\) 2.52555 + 2.34623i 0.674981 + 0.627057i
\(15\) −7.06070 + 3.61755i −1.82306 + 0.934046i
\(16\) 4.74153 + 16.5935i 1.18538 + 4.14839i
\(17\) 4.33448 1.91435i 1.05127 0.464298i 0.194984 0.980806i \(-0.437534\pi\)
0.856282 + 0.516509i \(0.172769\pi\)
\(18\) −9.68377 + 2.20560i −2.28249 + 0.519865i
\(19\) −2.94335 2.24980i −0.675252 0.516139i 0.212091 0.977250i \(-0.431973\pi\)
−0.887343 + 0.461110i \(0.847451\pi\)
\(20\) 16.6832 5.88481i 3.73047 1.31588i
\(21\) 2.56450 1.88335i 0.559620 0.410980i
\(22\) 5.89971 14.4718i 1.25782 3.08540i
\(23\) 0.301498 + 2.84521i 0.0628666 + 0.593267i 0.980593 + 0.196054i \(0.0628127\pi\)
−0.917727 + 0.397213i \(0.869977\pi\)
\(24\) 26.3777 2.36918i 5.38434 0.483607i
\(25\) −1.78022 4.21182i −0.356044 0.842364i
\(26\) 13.7466 5.65542i 2.69593 1.10912i
\(27\) 0.0518778 + 1.47357i 0.00998388 + 0.283589i
\(28\) −6.22956 + 3.39572i −1.17728 + 0.641731i
\(29\) −5.24199 + 7.58635i −0.973414 + 1.40875i −0.0616204 + 0.998100i \(0.519627\pi\)
−0.911793 + 0.410650i \(0.865302\pi\)
\(30\) −3.30148 21.7913i −0.602766 3.97852i
\(31\) −3.68375 5.47985i −0.661620 0.984209i −0.999081 0.0428697i \(-0.986350\pi\)
0.337460 0.941340i \(-0.390432\pi\)
\(32\) −27.2593 1.22172i −4.81881 0.215972i
\(33\) −12.0985 7.85502i −2.10608 1.36738i
\(34\) 1.21953 + 13.1071i 0.209147 + 2.24785i
\(35\) 2.03883 + 3.25303i 0.344626 + 0.549862i
\(36\) 2.02394 20.3409i 0.337323 3.39015i
\(37\) 0.575850 0.142837i 0.0946692 0.0234822i −0.193128 0.981174i \(-0.561863\pi\)
0.287797 + 0.957691i \(0.407077\pi\)
\(38\) 8.52307 5.76919i 1.38263 0.935886i
\(39\) −2.74654 13.4422i −0.439798 2.15247i
\(40\) 0.511138 + 31.9516i 0.0808180 + 5.05199i
\(41\) 2.12981 + 0.191293i 0.332620 + 0.0298750i 0.254511 0.967070i \(-0.418085\pi\)
0.0781086 + 0.996945i \(0.475112\pi\)
\(42\) 2.69919 + 8.41706i 0.416494 + 1.29878i
\(43\) −6.55657 8.98801i −0.999867 1.37066i −0.927725 0.373265i \(-0.878238\pi\)
−0.0721425 0.997394i \(-0.522984\pi\)
\(44\) 24.3885 + 20.9719i 3.67671 + 3.16163i
\(45\) −11.0529 0.424529i −1.64766 0.0632851i
\(46\) −7.76116 1.71554i −1.14432 0.252943i
\(47\) 0.913525 + 3.04876i 0.133251 + 0.444707i 0.998383 0.0568371i \(-0.0181016\pi\)
−0.865132 + 0.501544i \(0.832766\pi\)
\(48\) −10.2409 + 43.0506i −1.47815 + 6.21381i
\(49\) 3.59967 + 4.10574i 0.514239 + 0.586534i
\(50\) 12.6657 0.974389i 1.79120 0.137799i
\(51\) 12.0942 + 1.16432i 1.69353 + 0.163038i
\(52\) 2.05382 + 30.5247i 0.284814 + 4.23301i
\(53\) −4.16760 + 3.82231i −0.572464 + 0.525035i −0.909088 0.416605i \(-0.863220\pi\)
0.336624 + 0.941639i \(0.390715\pi\)
\(54\) −3.92763 1.16319i −0.534483 0.158290i
\(55\) 10.5254 13.8619i 1.41925 1.86913i
\(56\) −2.24342 12.6181i −0.299790 1.68617i
\(57\) −3.75432 8.72622i −0.497271 1.15582i
\(58\) −15.3609 20.5011i −2.01699 2.69193i
\(59\) −10.1968 0.784455i −1.32751 0.102127i −0.606517 0.795070i \(-0.707434\pi\)
−0.720992 + 0.692943i \(0.756314\pi\)
\(60\) 44.6869 + 7.79763i 5.76905 + 1.00667i
\(61\) 4.69205 + 3.98279i 0.600756 + 0.509945i 0.895165 0.445735i \(-0.147058\pi\)
−0.294409 + 0.955680i \(0.595123\pi\)
\(62\) 17.6852 4.87036i 2.24602 0.618537i
\(63\) 4.40334 0.537962i 0.554769 0.0677768i
\(64\) 14.8503 38.5265i 1.85628 4.81582i
\(65\) 16.4192 2.11266i 2.03655 0.262043i
\(66\) 31.3649 24.9424i 3.86075 3.07020i
\(67\) −7.89844 + 6.79192i −0.964948 + 0.829766i −0.985440 0.170024i \(-0.945615\pi\)
0.0204916 + 0.999790i \(0.493477\pi\)
\(68\) −26.3777 6.18564i −3.19876 0.750119i
\(69\) −2.89944 + 6.73922i −0.349052 + 0.811307i
\(70\) −10.3680 + 2.50142i −1.23922 + 0.298977i
\(71\) −2.07112 + 1.69074i −0.245797 + 0.200654i −0.747271 0.664519i \(-0.768636\pi\)
0.501474 + 0.865173i \(0.332791\pi\)
\(72\) 33.6807 + 15.1335i 3.96930 + 1.78350i
\(73\) 3.88781 + 2.77930i 0.455034 + 0.325293i 0.785866 0.618397i \(-0.212217\pi\)
−0.330832 + 0.943690i \(0.607329\pi\)
\(74\) −0.131685 + 1.64298i −0.0153081 + 0.190992i
\(75\) 1.31012 11.6515i 0.151279 1.34540i
\(76\) 5.68953 + 20.4045i 0.652633 + 2.34055i
\(77\) −3.28192 + 6.16077i −0.374010 + 0.702085i
\(78\) 37.8339 + 4.62221i 4.28384 + 0.523362i
\(79\) 0.943524 0.139862i 0.106155 0.0157357i −0.0933430 0.995634i \(-0.529755\pi\)
0.199498 + 0.979898i \(0.436069\pi\)
\(80\) −50.8962 16.1420i −5.69036 1.80473i
\(81\) 3.18623 6.17013i 0.354025 0.685570i
\(82\) −2.38265 + 5.44186i −0.263120 + 0.600953i
\(83\) 2.00102 0.620574i 0.219641 0.0681168i −0.184426 0.982846i \(-0.559042\pi\)
0.404066 + 0.914730i \(0.367596\pi\)
\(84\) −18.1913 0.232801i −1.98483 0.0254007i
\(85\) −2.47388 + 14.4502i −0.268330 + 1.56734i
\(86\) 29.4610 9.34373i 3.17686 1.00756i
\(87\) −21.2468 + 10.3758i −2.27789 + 1.11241i
\(88\) −49.9106 + 29.7460i −5.32049 + 3.17093i
\(89\) 1.29335 + 0.851528i 0.137095 + 0.0902617i 0.616597 0.787279i \(-0.288511\pi\)
−0.479502 + 0.877541i \(0.659183\pi\)
\(90\) 10.8682 28.7424i 1.14561 3.02971i
\(91\) −6.36599 + 1.88532i −0.667337 + 0.197636i
\(92\) 8.42024 14.0261i 0.877871 1.46232i
\(93\) −1.35270 16.8770i −0.140268 1.75006i
\(94\) −8.83726 0.282816i −0.911494 0.0291703i
\(95\) 10.8336 3.74368i 1.11151 0.384094i
\(96\) −59.4046 36.9676i −6.06296 3.77299i
\(97\) −10.7528 + 0.550884i −1.09178 + 0.0559338i −0.588736 0.808325i \(-0.700374\pi\)
−0.503047 + 0.864259i \(0.667788\pi\)
\(98\) −13.9912 + 5.86099i −1.41332 + 0.592050i
\(99\) −9.34181 17.8100i −0.938887 1.78997i
\(100\) −6.37558 + 25.3559i −0.637558 + 2.53559i
\(101\) 0.656115 + 0.475414i 0.0652859 + 0.0473054i 0.618915 0.785458i \(-0.287572\pi\)
−0.553630 + 0.832763i \(0.686758\pi\)
\(102\) −13.7356 + 30.8331i −1.36003 + 3.05293i
\(103\) −2.06687 0.804290i −0.203655 0.0792490i 0.258647 0.965972i \(-0.416724\pi\)
−0.462301 + 0.886723i \(0.652976\pi\)
\(104\) −53.4631 13.9898i −5.24249 1.37182i
\(105\) 0.472222 + 9.83294i 0.0460842 + 0.959597i
\(106\) −6.39293 14.3505i −0.620937 1.39385i
\(107\) −1.18362 + 5.60968i −0.114425 + 0.542309i 0.882922 + 0.469520i \(0.155573\pi\)
−0.997347 + 0.0727891i \(0.976810\pi\)
\(108\) 4.83694 6.90526i 0.465435 0.664459i
\(109\) 3.73367 + 4.42719i 0.357620 + 0.424048i 0.913261 0.407374i \(-0.133556\pi\)
−0.555641 + 0.831422i \(0.687527\pi\)
\(110\) 27.2321 + 39.9552i 2.59648 + 3.80958i
\(111\) 1.46673 + 0.403926i 0.139216 + 0.0383389i
\(112\) 21.1828 + 3.14000i 2.00158 + 0.296702i
\(113\) −3.47355 1.69630i −0.326764 0.159575i 0.268122 0.963385i \(-0.413597\pi\)
−0.594886 + 0.803810i \(0.702803\pi\)
\(114\) 26.2995 2.19261i 2.46317 0.205357i
\(115\) −7.85240 4.08681i −0.732240 0.381097i
\(116\) 50.0500 16.5815i 4.64703 1.53955i
\(117\) 5.84116 18.2149i 0.540016 1.68397i
\(118\) 11.0612 26.1697i 1.01827 2.40912i
\(119\) 0.0564293 5.87938i 0.00517287 0.538962i
\(120\) −38.9871 + 72.0709i −3.55902 + 6.57914i
\(121\) 20.4774 + 2.63483i 1.86158 + 0.239530i
\(122\) −14.6309 + 8.84715i −1.32462 + 0.800983i
\(123\) 4.52099 + 3.10258i 0.407644 + 0.279750i
\(124\) −2.05229 + 37.6985i −0.184301 + 3.38542i
\(125\) −1.29968 0.243965i −0.116247 0.0218209i
\(126\) −2.46707 + 12.0744i −0.219784 + 1.07567i
\(127\) 6.25149 + 15.0584i 0.554730 + 1.33621i 0.915033 + 0.403378i \(0.132164\pi\)
−0.360303 + 0.932835i \(0.617327\pi\)
\(128\) 46.3380 + 38.3242i 4.09574 + 3.38741i
\(129\) −3.36889 28.3278i −0.296615 2.49412i
\(130\) −8.91809 + 45.1171i −0.782169 + 3.95703i
\(131\) −10.4108 5.33394i −0.909592 0.466029i −0.0628439 0.998023i \(-0.520017\pi\)
−0.846748 + 0.531995i \(0.821443\pi\)
\(132\) 28.1816 + 77.5141i 2.45290 + 6.74674i
\(133\) −4.05029 + 2.17431i −0.351205 + 0.188536i
\(134\) −10.9249 26.7983i −0.943764 2.31502i
\(135\) −3.88860 2.38550i −0.334677 0.205311i
\(136\) 25.7245 41.6340i 2.20586 3.57009i
\(137\) −7.69532 13.5952i −0.657456 1.16152i −0.976856 0.213899i \(-0.931384\pi\)
0.319400 0.947620i \(-0.396519\pi\)
\(138\) −15.1957 13.5828i −1.29354 1.15625i
\(139\) −3.23762 + 6.17247i −0.274612 + 0.523542i −0.983303 0.181977i \(-0.941750\pi\)
0.708691 + 0.705519i \(0.249286\pi\)
\(140\) 1.89376 21.8697i 0.160052 1.84832i
\(141\) −1.78689 + 7.96295i −0.150483 + 0.670601i
\(142\) −2.62700 6.94744i −0.220453 0.583016i
\(143\) 18.2024 + 23.9722i 1.52216 + 2.00466i
\(144\) −41.8472 + 45.3355i −3.48727 + 3.77795i
\(145\) −10.6010 26.4875i −0.880366 2.19967i
\(146\) −10.7511 + 7.79012i −0.889766 + 0.644715i
\(147\) 2.89056 + 13.6995i 0.238409 + 1.12992i
\(148\) −3.12048 1.33072i −0.256502 0.109385i
\(149\) 1.37462 + 5.32266i 0.112613 + 0.436050i 0.999672 0.0256063i \(-0.00815162\pi\)
−0.887059 + 0.461656i \(0.847255\pi\)
\(150\) 29.5383 + 13.7292i 2.41179 + 1.12099i
\(151\) −0.0511521 + 0.0184122i −0.00416270 + 0.00149836i −0.340758 0.940151i \(-0.610684\pi\)
0.336596 + 0.941649i \(0.390724\pi\)
\(152\) −38.2137 1.95775i −3.09954 0.158795i
\(153\) 13.9057 + 9.67437i 1.12421 + 0.782127i
\(154\) −13.3345 14.0801i −1.07452 1.13461i
\(155\) 20.4288 0.130712i 1.64088 0.0104991i
\(156\) −33.7462 + 70.8184i −2.70186 + 5.67001i
\(157\) 3.01596 + 3.26736i 0.240700 + 0.260764i 0.843501 0.537127i \(-0.180491\pi\)
−0.602801 + 0.797891i \(0.705949\pi\)
\(158\) −0.463850 + 2.60893i −0.0369019 + 0.207555i
\(159\) −14.1175 + 3.31058i −1.11959 + 0.262546i
\(160\) 49.7541 68.2049i 3.93341 5.39207i
\(161\) 3.37011 + 1.11651i 0.265602 + 0.0879935i
\(162\) 13.4436 + 13.8363i 1.05623 + 1.08708i
\(163\) 5.40228 1.37676i 0.423139 0.107836i −0.0294268 0.999567i \(-0.509368\pi\)
0.452566 + 0.891731i \(0.350509\pi\)
\(164\) −9.06359 8.20651i −0.707747 0.640821i
\(165\) 40.9398 17.7691i 3.18716 1.38333i
\(166\) −0.130329 + 5.81877i −0.0101155 + 0.451624i
\(167\) −3.25199 17.6353i −0.251646 1.36466i −0.834016 0.551740i \(-0.813964\pi\)
0.582370 0.812924i \(-0.302126\pi\)
\(168\) 10.8326 31.0259i 0.835751 2.39370i
\(169\) −2.24222 + 15.4672i −0.172478 + 1.18978i
\(170\) −35.8843 19.2637i −2.75220 1.47746i
\(171\) 1.39566 13.1707i 0.106729 1.00719i
\(172\) −1.01749 + 63.6043i −0.0775832 + 4.84978i
\(173\) −4.35682 + 0.817826i −0.331243 + 0.0621782i −0.347473 0.937690i \(-0.612960\pi\)
0.0162295 + 0.999868i \(0.494834\pi\)
\(174\) −8.59134 65.1236i −0.651308 4.93700i
\(175\) −5.67205 0.145199i −0.428767 0.0109760i
\(176\) −20.6503 94.8614i −1.55657 7.15044i
\(177\) −21.8100 14.5604i −1.63934 1.09443i
\(178\) −3.38408 + 2.65597i −0.253648 + 0.199073i
\(179\) −5.84110 2.80635i −0.436584 0.209757i 0.201876 0.979411i \(-0.435296\pi\)
−0.638461 + 0.769655i \(0.720428\pi\)
\(180\) 48.9929 + 39.9948i 3.65172 + 2.98104i
\(181\) −7.47304 14.9374i −0.555467 1.11029i −0.978896 0.204357i \(-0.934490\pi\)
0.423430 0.905929i \(-0.360826\pi\)
\(182\) 0.648949 18.4332i 0.0481033 1.36636i
\(183\) 5.48703 + 14.7967i 0.405613 + 1.09380i
\(184\) 19.1954 + 22.4677i 1.41511 + 1.65634i
\(185\) −0.616165 + 1.72915i −0.0453013 + 0.127129i
\(186\) 45.6528 + 11.3239i 3.34742 + 0.830311i
\(187\) −25.0223 + 9.18803i −1.82981 + 0.671895i
\(188\) 6.32729 17.0626i 0.461465 1.24441i
\(189\) 1.69202 + 0.696106i 0.123076 + 0.0506343i
\(190\) 0.305611 + 31.8417i 0.0221714 + 2.31004i
\(191\) 11.7871 + 6.23080i 0.852883 + 0.450845i 0.835816 0.549010i \(-0.184995\pi\)
0.0170666 + 0.999854i \(0.494567\pi\)
\(192\) 81.5858 67.4761i 5.88795 4.86967i
\(193\) −13.2376 12.6172i −0.952867 0.908204i 0.0429958 0.999075i \(-0.486310\pi\)
−0.995863 + 0.0908712i \(0.971035\pi\)
\(194\) 8.03397 28.8124i 0.576805 2.06861i
\(195\) 39.3590 + 15.8988i 2.81856 + 1.13854i
\(196\) −2.29519 31.1364i −0.163942 2.22403i
\(197\) 11.8755 3.18882i 0.846095 0.227194i 0.189917 0.981800i \(-0.439178\pi\)
0.656178 + 0.754606i \(0.272172\pi\)
\(198\) 55.1579 8.89902i 3.91990 0.632426i
\(199\) −8.98047 + 13.9293i −0.636609 + 0.987423i 0.361867 + 0.932230i \(0.382140\pi\)
−0.998476 + 0.0551929i \(0.982423\pi\)
\(200\) −39.7749 25.4638i −2.81251 1.80056i
\(201\) −26.1876 + 5.26349i −1.84713 + 0.371258i
\(202\) −1.83116 + 1.30905i −0.128840 + 0.0921047i
\(203\) 5.88933 + 9.81017i 0.413350 + 0.688539i
\(204\) −51.1993 46.9574i −3.58467 3.28767i
\(205\) −4.13450 + 5.16509i −0.288766 + 0.360746i
\(206\) 3.94197 4.73534i 0.274650 0.329927i
\(207\) −8.12654 + 6.21165i −0.564834 + 0.431740i
\(208\) 50.5306 77.2860i 3.50367 5.35882i
\(209\) 15.7147 + 13.6890i 1.08701 + 0.946891i
\(210\) −26.3197 7.42975i −1.81624 0.512702i
\(211\) 1.41000 + 8.56509i 0.0970683 + 0.589645i 0.990179 + 0.139808i \(0.0446485\pi\)
−0.893110 + 0.449838i \(0.851482\pi\)
\(212\) 32.1853 3.09852i 2.21050 0.212807i
\(213\) −6.75355 + 1.17846i −0.462746 + 0.0807468i
\(214\) −13.7337 8.06642i −0.938814 0.551409i
\(215\) 34.3868 1.54116i 2.34516 0.105107i
\(216\) 9.05360 + 12.2457i 0.616019 + 0.833214i
\(217\) −8.08015 + 1.35673i −0.548516 + 0.0921008i
\(218\) −14.9562 + 5.93043i −1.01296 + 0.401659i
\(219\) 5.20065 + 11.0961i 0.351427 + 0.749808i
\(220\) −95.7758 + 27.0364i −6.45721 + 1.82279i
\(221\) −22.9223 10.8330i −1.54192 0.728710i
\(222\) −2.35789 + 3.50754i −0.158251 + 0.235410i
\(223\) −10.0494 + 13.5926i −0.672958 + 0.910229i −0.999388 0.0349927i \(-0.988859\pi\)
0.326429 + 0.945222i \(0.394155\pi\)
\(224\) −15.3426 + 30.1831i −1.02512 + 2.01669i
\(225\) 9.54929 13.2680i 0.636619 0.884536i
\(226\) 7.53267 7.65414i 0.501066 0.509146i
\(227\) −6.26778 10.5936i −0.416007 0.703122i 0.577562 0.816347i \(-0.304004\pi\)
−0.993569 + 0.113225i \(0.963882\pi\)
\(228\) −12.9080 + 52.7607i −0.854851 + 3.49416i
\(229\) 2.48237 11.4033i 0.164040 0.753551i −0.819532 0.573033i \(-0.805767\pi\)
0.983572 0.180517i \(-0.0577772\pi\)
\(230\) 17.6927 17.0808i 1.16662 1.12627i
\(231\) −15.0745 + 9.65066i −0.991828 + 0.634967i
\(232\) −0.304691 + 95.2402i −0.0200040 + 6.25283i
\(233\) 5.57666 3.42106i 0.365339 0.224121i −0.328090 0.944647i \(-0.606405\pi\)
0.693429 + 0.720525i \(0.256099\pi\)
\(234\) 42.8314 + 31.4551i 2.79998 + 2.05628i
\(235\) −9.42365 2.85657i −0.614731 0.186342i
\(236\) 43.8458 + 38.6902i 2.85412 + 2.51852i
\(237\) 2.28494 + 0.872357i 0.148423 + 0.0566656i
\(238\) 15.4384 + 5.33492i 1.00073 + 0.345812i
\(239\) −5.73771 7.07468i −0.371142 0.457623i 0.556636 0.830757i \(-0.312092\pi\)
−0.927778 + 0.373134i \(0.878283\pi\)
\(240\) −93.5064 100.009i −6.03581 6.45557i
\(241\) 20.0752 + 0.128450i 1.29316 + 0.00827418i 0.651459 0.758684i \(-0.274157\pi\)
0.641697 + 0.766958i \(0.278231\pi\)
\(242\) −25.0043 + 51.6199i −1.60734 + 3.31825i
\(243\) 18.5669 12.2243i 1.19107 0.784187i
\(244\) −7.70509 34.3364i −0.493268 2.19816i
\(245\) −16.7416 + 2.26313i −1.06958 + 0.144586i
\(246\) −12.1612 + 9.17296i −0.775372 + 0.584847i
\(247\) 1.20415 + 19.7858i 0.0766184 + 1.25894i
\(248\) −63.3958 25.1377i −4.02564 1.59625i
\(249\) 5.25277 + 1.12588i 0.332881 + 0.0713498i
\(250\) 1.78915 3.20858i 0.113156 0.202929i
\(251\) −1.96092 + 6.54430i −0.123772 + 0.413073i −0.997277 0.0737430i \(-0.976506\pi\)
0.873505 + 0.486816i \(0.161842\pi\)
\(252\) −21.9529 12.7057i −1.38290 0.800387i
\(253\) −0.669200 16.0814i −0.0420722 1.01103i
\(254\) −45.1832 + 3.18534i −2.83504 + 0.199866i
\(255\) −23.6792 + 29.1968i −1.48285 + 1.82838i
\(256\) −71.7220 + 44.6327i −4.48262 + 2.78955i
\(257\) 7.27297 5.05991i 0.453675 0.315628i −0.322023 0.946732i \(-0.604363\pi\)
0.775699 + 0.631103i \(0.217398\pi\)
\(258\) 77.5963 + 16.1134i 4.83094 + 1.00318i
\(259\) 0.133505 0.723992i 0.00829561 0.0449867i
\(260\) −82.2253 46.8901i −5.09940 2.90800i
\(261\) −32.9116 1.89732i −2.03717 0.117441i
\(262\) 23.2348 22.7202i 1.43545 1.40366i
\(263\) −2.98946 12.2192i −0.184338 0.753471i −0.987488 0.157695i \(-0.949594\pi\)
0.803150 0.595777i \(-0.203156\pi\)
\(264\) −148.936 + 3.81263i −9.16640 + 0.234651i
\(265\) −2.73150 17.2818i −0.167795 1.06161i
\(266\) −2.15503 12.5878i −0.132133 0.771806i
\(267\) 1.82185 + 3.52801i 0.111495 + 0.215910i
\(268\) 59.4410 3.80844i 3.63094 0.232638i
\(269\) 6.66597 + 7.50569i 0.406431 + 0.457630i 0.915037 0.403369i \(-0.132161\pi\)
−0.508606 + 0.860999i \(0.669839\pi\)
\(270\) 9.71437 8.13956i 0.591198 0.495358i
\(271\) −9.67609 + 0.185756i −0.587780 + 0.0112839i −0.312236 0.950005i \(-0.601078\pi\)
−0.275544 + 0.961288i \(0.588858\pi\)
\(272\) 52.3179 + 62.8475i 3.17224 + 3.81069i
\(273\) −16.5993 3.78069i −1.00463 0.228818i
\(274\) 42.6024 8.27950i 2.57371 0.500183i
\(275\) 8.47915 + 24.2854i 0.511312 + 1.46447i
\(276\) 36.4398 20.7803i 2.19342 1.25083i
\(277\) 11.8119 5.86223i 0.709709 0.352227i −0.0533322 0.998577i \(-0.516984\pi\)
0.763041 + 0.646350i \(0.223705\pi\)
\(278\) −13.4044 13.9738i −0.803940 0.838091i
\(279\) 9.88103 21.4381i 0.591562 1.28347i
\(280\) 36.3739 + 15.7874i 2.17376 + 0.943478i
\(281\) 2.89093 + 6.37928i 0.172458 + 0.380556i 0.976969 0.213382i \(-0.0684480\pi\)
−0.804510 + 0.593938i \(0.797572\pi\)
\(282\) −19.4008 11.7314i −1.15530 0.698597i
\(283\) −13.9721 11.1111i −0.830557 0.660486i 0.112303 0.993674i \(-0.464177\pi\)
−0.942861 + 0.333187i \(0.891876\pi\)
\(284\) 15.2759 0.586731i 0.906456 0.0348161i
\(285\) 28.9209 + 5.23744i 1.71313 + 0.310239i
\(286\) −79.2073 + 26.8048i −4.68362 + 1.58500i
\(287\) 1.30705 2.30916i 0.0771529 0.136305i
\(288\) −46.9625 85.5023i −2.76729 5.03827i
\(289\) 3.67253 4.03010i 0.216031 0.237065i
\(290\) 79.1280 4.56165i 4.64656 0.267869i
\(291\) −24.7302 12.2735i −1.44971 0.719487i
\(292\) −8.17766 26.0735i −0.478562 1.52584i
\(293\) 0.649919 0.170066i 0.0379687 0.00993537i −0.234116 0.972209i \(-0.575220\pi\)
0.272085 + 0.962273i \(0.412287\pi\)
\(294\) −38.6389 4.46984i −2.25347 0.260686i
\(295\) 19.4558 24.9534i 1.13276 1.45284i
\(296\) 4.06916 4.58176i 0.236515 0.266309i
\(297\) 0.238793 8.29126i 0.0138562 0.481108i
\(298\) −15.2342 1.07399i −0.882494 0.0622144i
\(299\) 10.4553 11.1824i 0.604645 0.646695i
\(300\) −46.0987 + 48.6766i −2.66151 + 2.81034i
\(301\) −13.5165 + 2.80681i −0.779080 + 0.161782i
\(302\) −0.00338194 0.150993i −0.000194609 0.00868867i
\(303\) 0.869668 + 1.88685i 0.0499611 + 0.108397i
\(304\) 23.3762 59.5082i 1.34071 3.41303i
\(305\) −18.2922 + 5.29027i −1.04741 + 0.302920i
\(306\) −37.7518 + 28.0982i −2.15813 + 1.60627i
\(307\) 19.6710 19.4831i 1.12268 1.11196i 0.129963 0.991519i \(-0.458514\pi\)
0.992720 0.120441i \(-0.0384310\pi\)
\(308\) 36.1941 16.8228i 2.06235 0.958567i
\(309\) −3.61040 4.39391i −0.205389 0.249961i
\(310\) −17.6761 + 53.9314i −1.00394 + 3.06310i
\(311\) −15.3415 + 10.2420i −0.869936 + 0.580770i −0.908218 0.418497i \(-0.862557\pi\)
0.0382821 + 0.999267i \(0.487811\pi\)
\(312\) −101.948 98.4220i −5.77166 5.57205i
\(313\) −25.3297 5.09105i −1.43172 0.287763i −0.581221 0.813746i \(-0.697425\pi\)
−0.850496 + 0.525982i \(0.823698\pi\)
\(314\) −11.2677 + 5.06285i −0.635874 + 0.285713i
\(315\) −6.14090 + 12.2746i −0.346001 + 0.691598i
\(316\) −4.78861 2.61026i −0.269381 0.146839i
\(317\) 9.19562 4.63733i 0.516477 0.260458i −0.172799 0.984957i \(-0.555281\pi\)
0.689276 + 0.724499i \(0.257929\pi\)
\(318\) 3.73199 40.1103i 0.209280 2.24927i
\(319\) 32.1572 40.7041i 1.80046 2.27899i
\(320\) 73.9599 + 104.161i 4.13448 + 5.82278i
\(321\) −9.69154 + 11.0541i −0.540929 + 0.616977i
\(322\) −5.91407 + 7.89309i −0.329578 + 0.439865i
\(323\) −17.0648 4.11711i −0.949511 0.229082i
\(324\) −35.7895 + 17.1950i −1.98830 + 0.955279i
\(325\) −10.8065 + 21.9502i −0.599434 + 1.21758i
\(326\) −1.13858 + 15.4458i −0.0630599 + 0.855465i
\(327\) 2.78638 + 14.5865i 0.154087 + 0.806633i
\(328\) 19.2553 10.8179i 1.06320 0.597319i
\(329\) 3.91364 + 0.529046i 0.215766 + 0.0291672i
\(330\) 10.6963 + 123.523i 0.588812 + 6.79974i
\(331\) 3.13127 + 1.31171i 0.172110 + 0.0720981i 0.470745 0.882269i \(-0.343985\pi\)
−0.298634 + 0.954368i \(0.596531\pi\)
\(332\) −11.2711 4.05704i −0.618583 0.222659i
\(333\) 1.50700 + 1.49261i 0.0825832 + 0.0817944i
\(334\) 49.3259 + 6.98953i 2.69899 + 0.382450i
\(335\) −4.01085 31.9795i −0.219136 1.74723i
\(336\) 43.4111 + 33.6242i 2.36827 + 1.83435i
\(337\) −11.4349 + 18.2448i −0.622898 + 0.993856i 0.374870 + 0.927078i \(0.377687\pi\)
−0.997768 + 0.0667783i \(0.978728\pi\)
\(338\) −38.7678 19.5505i −2.10869 1.06341i
\(339\) −5.63475 8.15476i −0.306038 0.442906i
\(340\) 61.0474 57.4450i 3.31076 3.11539i
\(341\) 18.7094 + 32.0888i 1.01317 + 1.73771i
\(342\) 33.4649 + 15.2947i 1.80958 + 0.827042i
\(343\) 14.7965 4.48524i 0.798936 0.242180i
\(344\) −108.363 38.2239i −5.84254 2.06089i
\(345\) −12.4214 18.9985i −0.668748 1.02284i
\(346\) 1.68878 12.1987i 0.0907893 0.655807i
\(347\) 15.9089 + 7.02625i 0.854034 + 0.377189i 0.784304 0.620377i \(-0.213020\pi\)
0.0697302 + 0.997566i \(0.477786\pi\)
\(348\) 132.714 + 25.7921i 7.11422 + 1.38260i
\(349\) 1.51313 + 10.4378i 0.0809961 + 0.558725i 0.989905 + 0.141731i \(0.0452667\pi\)
−0.908909 + 0.416994i \(0.863084\pi\)
\(350\) 5.38588 14.8140i 0.287887 0.791840i
\(351\) 5.78004 5.36966i 0.308516 0.286611i
\(352\) 152.594 + 16.6637i 8.13327 + 0.888178i
\(353\) −22.0759 22.1466i −1.17498 1.17875i −0.980223 0.197896i \(-0.936589\pi\)
−0.194759 0.980851i \(-0.562392\pi\)
\(354\) 57.5957 44.6109i 3.06118 2.37104i
\(355\) −0.819029 8.23137i −0.0434696 0.436876i
\(356\) −2.97199 8.34032i −0.157515 0.442036i
\(357\) 7.51039 13.0727i 0.397492 0.691880i
\(358\) 12.5453 12.9119i 0.663042 0.682413i
\(359\) −27.2945 + 14.2055i −1.44055 + 0.749739i −0.989740 0.142881i \(-0.954363\pi\)
−0.450809 + 0.892621i \(0.648864\pi\)
\(360\) −96.6068 + 60.9796i −5.09162 + 3.21390i
\(361\) −1.38430 5.09020i −0.0728578 0.267905i
\(362\) 45.9420 6.51002i 2.41466 0.342159i
\(363\) 42.4686 + 31.6089i 2.22902 + 1.65904i
\(364\) 35.5513 + 13.3130i 1.86339 + 0.697789i
\(365\) −13.8138 + 5.27390i −0.723046 + 0.276048i
\(366\) −43.8195 + 1.40234i −2.29048 + 0.0733016i
\(367\) −1.64916 14.6668i −0.0860854 0.765602i −0.960091 0.279686i \(-0.909770\pi\)
0.874006 0.485915i \(-0.161514\pi\)
\(368\) −45.7825 + 18.4935i −2.38658 + 0.964043i
\(369\) 3.37662 + 6.85864i 0.175780 + 0.357046i
\(370\) −4.01161 3.14848i −0.208554 0.163682i
\(371\) 2.18545 + 6.66800i 0.113463 + 0.346185i
\(372\) −51.9355 + 81.6986i −2.69273 + 4.23587i
\(373\) −0.161075 + 3.87076i −0.00834014 + 0.200420i 0.989927 + 0.141578i \(0.0452175\pi\)
−0.998267 + 0.0588424i \(0.981259\pi\)
\(374\) −2.13187 74.0218i −0.110236 3.82757i
\(375\) −2.59907 2.17773i −0.134215 0.112458i
\(376\) 25.5970 + 20.6243i 1.32007 + 1.06362i
\(377\) 49.0475 5.35614i 2.52608 0.275855i
\(378\) −3.32632 + 3.84329i −0.171087 + 0.197678i
\(379\) 31.5059 + 9.77088i 1.61835 + 0.501896i 0.966547 0.256491i \(-0.0825663\pi\)
0.651804 + 0.758387i \(0.274012\pi\)
\(380\) −62.3441 20.2127i −3.19819 1.03689i
\(381\) −4.93720 + 41.5151i −0.252940 + 2.12688i
\(382\) −26.8115 + 25.5548i −1.37179 + 1.30750i
\(383\) −7.02148 13.1806i −0.358781 0.673497i 0.636421 0.771342i \(-0.280414\pi\)
−0.995202 + 0.0978447i \(0.968805\pi\)
\(384\) 55.4568 + 143.873i 2.83002 + 7.34201i
\(385\) −10.2759 18.9958i −0.523708 0.968116i
\(386\) 44.9149 23.7426i 2.28611 1.20847i
\(387\) 15.2500 36.7336i 0.775201 1.86728i
\(388\) 50.9818 + 34.5091i 2.58821 + 1.75193i
\(389\) 18.6529 + 6.84923i 0.945740 + 0.347270i 0.770633 0.637279i \(-0.219940\pi\)
0.175107 + 0.984549i \(0.443973\pi\)
\(390\) −76.6017 + 89.6600i −3.87888 + 4.54011i
\(391\) 6.75355 + 11.7553i 0.341542 + 0.594492i
\(392\) 54.6493 + 13.9273i 2.76021 + 0.703433i
\(393\) −16.5744 24.9996i −0.836067 1.26107i
\(394\) −2.07511 + 34.0969i −0.104543 + 1.71778i
\(395\) −1.25243 + 2.67218i −0.0630164 + 0.134452i
\(396\) −18.6788 + 113.465i −0.938647 + 5.70185i
\(397\) −1.36541 + 20.2933i −0.0685280 + 1.01849i 0.823735 + 0.566974i \(0.191886\pi\)
−0.892264 + 0.451515i \(0.850884\pi\)
\(398\) −28.7726 35.9447i −1.44224 1.80175i
\(399\) −11.7854 0.226249i −0.590007 0.0113266i
\(400\) 61.4481 49.5106i 3.07240 2.47553i
\(401\) −8.03677 + 8.06252i −0.401337 + 0.402623i −0.879692 0.475543i \(-0.842251\pi\)
0.478355 + 0.878166i \(0.341233\pi\)
\(402\) 9.23459 73.6297i 0.460579 3.67231i
\(403\) −9.27128 + 34.0914i −0.461836 + 1.69821i
\(404\) −1.35814 4.42931i −0.0675698 0.220366i
\(405\) 10.4636 + 18.7651i 0.519942 + 0.932443i
\(406\) −31.0382 + 6.86076i −1.54040 + 0.340494i
\(407\) −3.28419 + 0.594752i −0.162791 + 0.0294808i
\(408\) 109.798 60.7653i 5.43583 3.00833i
\(409\) −20.3703 22.6430i −1.00725 1.11962i −0.992807 0.119727i \(-0.961798\pi\)
−0.0144411 0.999896i \(-0.504597\pi\)
\(410\) −9.95947 15.4478i −0.491863 0.762913i
\(411\) −0.128152 40.0576i −0.00632126 1.97589i
\(412\) 6.66564 + 10.7880i 0.328393 + 0.531489i
\(413\) −6.10923 + 11.1228i −0.300616 + 0.547315i
\(414\) −9.19503 26.8873i −0.451911 1.32144i
\(415\) −1.82076 + 6.22101i −0.0893775 + 0.305377i
\(416\) 90.5068 + 114.562i 4.43746 + 5.61687i
\(417\) −14.9902 + 9.73245i −0.734071 + 0.476600i
\(418\) −49.9235 + 29.3224i −2.44184 + 1.43421i
\(419\) −11.8441 + 10.0537i −0.578620 + 0.491155i −0.888037 0.459772i \(-0.847931\pi\)
0.309417 + 0.950926i \(0.399866\pi\)
\(420\) 31.7009 46.5119i 1.54684 2.26955i
\(421\) 26.3377 2.70574i 1.28362 0.131870i 0.563730 0.825959i \(-0.309366\pi\)
0.719889 + 0.694089i \(0.244193\pi\)
\(422\) −23.8070 3.84096i −1.15891 0.186975i
\(423\) −7.60988 + 8.45888i −0.370005 + 0.411285i
\(424\) −13.1529 + 56.9068i −0.638761 + 2.76364i
\(425\) −15.7792 14.8481i −0.765404 0.720238i
\(426\) 2.85293 18.8306i 0.138225 0.912346i
\(427\) 6.90460 3.26310i 0.334137 0.157912i
\(428\) 24.7182 21.5320i 1.19480 1.04079i
\(429\) 10.5840 + 76.4521i 0.510998 + 3.69114i
\(430\) −26.2730 + 91.9456i −1.26700 + 4.43401i
\(431\) 4.59950 + 23.2691i 0.221550 + 1.12083i 0.915965 + 0.401258i \(0.131427\pi\)
−0.694415 + 0.719575i \(0.744337\pi\)
\(432\) −24.2058 + 7.84782i −1.16460 + 0.377578i
\(433\) −17.8877 + 0.228916i −0.859628 + 0.0110010i −0.441368 0.897326i \(-0.645507\pi\)
−0.418260 + 0.908327i \(0.637360\pi\)
\(434\) 3.55351 22.4825i 0.170574 1.07920i
\(435\) 9.56817 72.5281i 0.458759 3.47745i
\(436\) −1.80006 33.0651i −0.0862071 1.58353i
\(437\) 5.51373 9.05276i 0.263758 0.433052i
\(438\) −33.8184 + 3.91220i −1.61591 + 0.186932i
\(439\) 18.8372 7.33020i 0.899050 0.349852i 0.131858 0.991269i \(-0.457906\pi\)
0.767192 + 0.641417i \(0.221653\pi\)
\(440\) 8.62327 179.560i 0.411098 8.56017i
\(441\) −5.84185 + 18.6261i −0.278183 + 0.886955i
\(442\) 48.7578 50.8290i 2.31917 2.41769i
\(443\) −1.84701 4.70190i −0.0877542 0.223394i 0.880159 0.474679i \(-0.157436\pi\)
−0.967913 + 0.251285i \(0.919147\pi\)
\(444\) −5.30461 6.89406i −0.251746 0.327178i
\(445\) −4.40700 + 1.87936i −0.208912 + 0.0890901i
\(446\) −26.9427 38.4636i −1.27577 1.82131i
\(447\) −3.61202 + 13.6254i −0.170843 + 0.644462i
\(448\) −35.9371 36.5166i −1.69787 1.72525i
\(449\) 36.3305 5.62320i 1.71454 0.265375i 0.781178 0.624308i \(-0.214619\pi\)
0.933363 + 0.358933i \(0.116859\pi\)
\(450\) 26.5288 + 36.8598i 1.25058 + 1.73759i
\(451\) −11.8879 1.84000i −0.559779 0.0866420i
\(452\) 10.0156 + 19.7034i 0.471093 + 0.926770i
\(453\) −0.137477 0.0230837i −0.00645924 0.00108456i
\(454\) 33.4359 7.16666i 1.56922 0.336348i
\(455\) 6.02188 19.6392i 0.282310 0.920701i
\(456\) −82.9692 52.3713i −3.88539 2.45251i
\(457\) 15.3452 + 1.27934i 0.717816 + 0.0598450i 0.436415 0.899745i \(-0.356248\pi\)
0.281401 + 0.959590i \(0.409201\pi\)
\(458\) 27.8503 + 16.5983i 1.30136 + 0.775590i
\(459\) 3.04579 + 6.28785i 0.142165 + 0.293492i
\(460\) 21.7734 + 45.6929i 1.01519 + 2.13044i
\(461\) −12.6275 + 31.5510i −0.588124 + 1.46947i 0.273472 + 0.961880i \(0.411828\pi\)
−0.861596 + 0.507595i \(0.830535\pi\)
\(462\) −12.1256 48.2241i −0.564135 2.24359i
\(463\) 8.30159 7.42046i 0.385808 0.344858i −0.450835 0.892607i \(-0.648874\pi\)
0.836642 + 0.547749i \(0.184515\pi\)
\(464\) −150.739 51.0123i −6.99790 2.36819i
\(465\) 45.8334 + 25.3654i 2.12547 + 1.17629i
\(466\) 4.09297 + 17.7085i 0.189603 + 0.820331i
\(467\) −7.87025 + 13.4984i −0.364192 + 0.624631i −0.987550 0.157306i \(-0.949719\pi\)
0.623358 + 0.781937i \(0.285768\pi\)
\(468\) −89.3810 + 63.0361i −4.13164 + 2.91385i
\(469\) 3.63087 + 12.4056i 0.167658 + 0.572839i
\(470\) 15.8379 22.3052i 0.730546 1.02886i
\(471\) 2.63862 + 11.0922i 0.121581 + 0.511102i
\(472\) −91.4201 + 52.9115i −4.20795 + 2.43545i
\(473\) 33.5755 + 52.8169i 1.54380 + 2.42852i
\(474\) −4.31364 + 5.24976i −0.198132 + 0.241130i
\(475\) −4.23594 + 16.4020i −0.194358 + 0.752576i
\(476\) −20.5013 + 26.6442i −0.939676 + 1.22124i
\(477\) −19.4209 5.61669i −0.889221 0.257171i
\(478\) 23.6983 8.87436i 1.08394 0.405904i
\(479\) −12.2564 + 10.8153i −0.560011 + 0.494162i −0.893788 0.448490i \(-0.851962\pi\)
0.333777 + 0.942652i \(0.391677\pi\)
\(480\) 196.889 89.9855i 8.98672 4.10726i
\(481\) −2.59424 1.82960i −0.118287 0.0834224i
\(482\) −18.0469 + 52.7713i −0.822014 + 2.40367i
\(483\) 6.13171 + 6.72871i 0.279002 + 0.306167i
\(484\) −84.4040 82.5347i −3.83655 3.75158i
\(485\) 16.9629 28.6701i 0.770246 1.30184i
\(486\) 15.8246 + 59.6945i 0.717820 + 2.70780i
\(487\) −23.9280 + 28.3726i −1.08428 + 1.28569i −0.128468 + 0.991714i \(0.541006\pi\)
−0.955814 + 0.293973i \(0.905022\pi\)
\(488\) 63.2335 + 6.49616i 2.86245 + 0.294067i
\(489\) 13.8061 + 3.70723i 0.624334 + 0.167647i
\(490\) 8.80614 46.0993i 0.397821 2.08255i
\(491\) 5.91571 + 17.6666i 0.266972 + 0.797284i 0.993872 + 0.110540i \(0.0352580\pi\)
−0.726899 + 0.686744i \(0.759039\pi\)
\(492\) −9.95495 29.7294i −0.448804 1.34030i
\(493\) −8.19841 + 42.9179i −0.369238 + 1.93292i
\(494\) −53.1846 14.2812i −2.39289 0.642540i
\(495\) 61.8978 + 6.35894i 2.78210 + 0.285813i
\(496\) 73.4635 87.1093i 3.29861 3.91132i
\(497\) 0.850097 + 3.20678i 0.0381321 + 0.143844i
\(498\) −7.59946 + 12.8444i −0.340540 + 0.575570i
\(499\) −9.71930 9.50404i −0.435095 0.425459i 0.448448 0.893809i \(-0.351977\pi\)
−0.883543 + 0.468350i \(0.844849\pi\)
\(500\) 5.09284 + 5.58869i 0.227759 + 0.249934i
\(501\) 14.8793 43.5087i 0.664757 1.94383i
\(502\) −15.5101 10.9385i −0.692249 0.488210i
\(503\) 22.4029 10.2389i 0.998897 0.456532i 0.152052 0.988372i \(-0.451412\pi\)
0.846845 + 0.531840i \(0.178499\pi\)
\(504\) 34.3548 30.3152i 1.53028 1.35035i
\(505\) −2.34767 + 0.879139i −0.104470 + 0.0391212i
\(506\) 42.9540 + 12.4227i 1.90954 + 0.552255i
\(507\) −24.4387 + 31.7613i −1.08536 + 1.41057i
\(508\) 23.3114 90.2641i 1.03427 4.00482i
\(509\) −22.5888 + 27.4908i −1.00123 + 1.21851i −0.0254672 + 0.999676i \(0.508107\pi\)
−0.975762 + 0.218834i \(0.929775\pi\)
\(510\) −56.0263 88.1337i −2.48089 3.90262i
\(511\) 5.13248 2.97054i 0.227048 0.131409i
\(512\) −26.4784 111.309i −1.17019 4.91923i
\(513\) 3.16254 4.45395i 0.139630 0.196647i
\(514\) 6.91389 + 23.6228i 0.304959 + 1.04196i
\(515\) 5.60763 3.95479i 0.247102 0.174269i
\(516\) −82.1588 + 140.912i −3.61684 + 6.20329i
\(517\) −4.03190 17.4443i −0.177323 0.767198i
\(518\) 1.78947 + 0.990338i 0.0786246 + 0.0435129i
\(519\) −10.7670 3.64369i −0.472618 0.159940i
\(520\) 127.478 113.948i 5.59030 4.99695i
\(521\) 9.21168 + 36.6352i 0.403571 + 1.60502i 0.746318 + 0.665589i \(0.231820\pi\)
−0.342747 + 0.939428i \(0.611357\pi\)
\(522\) 34.0298 85.0262i 1.48944 3.72150i
\(523\) −8.79571 18.4583i −0.384610 0.807126i −0.999824 0.0187661i \(-0.994026\pi\)
0.615214 0.788360i \(-0.289070\pi\)
\(524\) 29.1579 + 60.1947i 1.27377 + 2.62962i
\(525\) −12.4977 7.44844i −0.545444 0.325076i
\(526\) 34.8265 + 2.90352i 1.51851 + 0.126600i
\(527\) −26.4575 16.7003i −1.15250 0.727477i
\(528\) 72.9772 238.002i 3.17593 10.3577i
\(529\) 14.4849 3.10470i 0.629778 0.134987i
\(530\) 47.9354 + 8.04879i 2.08218 + 0.349617i
\(531\) −16.5673 32.5925i −0.718961 1.41439i
\(532\) 25.9755 + 4.02046i 1.12618 + 0.174309i
\(533\) −6.68368 9.28648i −0.289502 0.402242i
\(534\) −10.9010 + 1.68725i −0.471732 + 0.0730143i
\(535\) −12.4421 12.6428i −0.537921 0.546595i
\(536\) −27.5697 + 104.000i −1.19083 + 4.49210i
\(537\) −9.53332 13.6098i −0.411393 0.587308i
\(538\) −25.6526 + 10.9395i −1.10596 + 0.471635i
\(539\) −18.7317 24.3443i −0.806830 1.04858i
\(540\) 9.53717 + 24.2786i 0.410415 + 1.04478i
\(541\) 7.28304 7.59241i 0.313122 0.326423i −0.546397 0.837526i \(-0.684001\pi\)
0.859520 + 0.511103i \(0.170763\pi\)
\(542\) 8.04604 25.6538i 0.345607 1.10193i
\(543\) 2.05443 42.7788i 0.0881641 1.83581i
\(544\) −120.494 + 46.8882i −5.16612 + 2.01032i
\(545\) −17.7997 + 2.05911i −0.762454 + 0.0882024i
\(546\) 24.6020 40.3929i 1.05287 1.72866i
\(547\) −0.0204301 0.375279i −0.000873527 0.0160458i 0.998052 0.0623803i \(-0.0198692\pi\)
−0.998926 + 0.0463346i \(0.985246\pi\)
\(548\) −11.6827 + 88.5565i −0.499060 + 3.78295i
\(549\) −3.43501 + 21.7328i −0.146603 + 0.927533i
\(550\) −71.4553 + 0.914443i −3.04687 + 0.0389920i
\(551\) 32.4968 10.5359i 1.38441 0.448843i
\(552\) 14.6936 + 74.3358i 0.625403 + 3.16394i
\(553\) 0.325183 1.13802i 0.0138282 0.0483934i
\(554\) 5.02362 + 36.2876i 0.213433 + 1.54171i
\(555\) −3.54919 + 3.09169i −0.150655 + 0.131235i
\(556\) 36.0321 17.0287i 1.52810 0.722178i
\(557\) −2.73812 + 18.0728i −0.116018 + 0.765770i 0.853561 + 0.520992i \(0.174438\pi\)
−0.969579 + 0.244778i \(0.921285\pi\)
\(558\) 47.7589 + 44.9407i 2.02180 + 1.90249i
\(559\) −13.4051 + 57.9981i −0.566976 + 2.45306i
\(560\) −44.3121 + 49.2558i −1.87253 + 2.08144i
\(561\) −67.4779 10.8867i −2.84892 0.459637i
\(562\) −19.3552 + 1.98842i −0.816452 + 0.0838764i
\(563\) −20.9801 + 30.7823i −0.884206 + 1.29732i 0.0698091 + 0.997560i \(0.477761\pi\)
−0.954016 + 0.299757i \(0.903094\pi\)
\(564\) 35.5747 30.1971i 1.49796 1.27153i
\(565\) 10.3128 6.05718i 0.433862 0.254828i
\(566\) 41.5953 27.0060i 1.74838 1.13515i
\(567\) −5.34163 6.76135i −0.224327 0.283950i
\(568\) −7.75666 + 26.5023i −0.325462 + 1.11201i
\(569\) −2.64250 7.72698i −0.110779 0.323932i 0.876844 0.480774i \(-0.159644\pi\)
−0.987624 + 0.156843i \(0.949868\pi\)
\(570\) −39.3086 + 71.5671i −1.64645 + 2.99762i
\(571\) 14.6411 + 23.6960i 0.612712 + 0.991648i 0.997637 + 0.0687002i \(0.0218852\pi\)
−0.384925 + 0.922948i \(0.625773\pi\)
\(572\) −0.550592 172.104i −0.0230214 7.19601i
\(573\) 18.5248 + 28.7332i 0.773884 + 1.20035i
\(574\) 4.93011 + 5.48014i 0.205779 + 0.228737i
\(575\) 11.4468 6.33494i 0.477363 0.264185i
\(576\) 145.249 26.3039i 6.05203 1.09600i
\(577\) −5.65877 + 1.25083i −0.235578 + 0.0520726i −0.332045 0.943264i \(-0.607739\pi\)
0.0964673 + 0.995336i \(0.469246\pi\)
\(578\) 7.37702 + 13.2296i 0.306844 + 0.550281i
\(579\) −13.7466 44.8320i −0.571289 1.86315i
\(580\) −42.8089 + 157.413i −1.77754 + 6.53620i
\(581\) 0.323511 2.57943i 0.0134215 0.107013i
\(582\) 54.1472 54.3208i 2.24448 2.25167i
\(583\) 24.7717 19.9593i 1.02594 0.826631i
\(584\) 49.3512 + 0.947416i 2.04217 + 0.0392044i
\(585\) 36.9845 + 46.2036i 1.52912 + 1.91028i
\(586\) −0.125291 + 1.86212i −0.00517571 + 0.0769234i
\(587\) −0.674957 + 4.10006i −0.0278585 + 0.169227i −0.997014 0.0772231i \(-0.975395\pi\)
0.969155 + 0.246451i \(0.0792643\pi\)
\(588\) 33.9749 72.4891i 1.40110 2.98940i
\(589\) −1.48599 + 24.4168i −0.0612292 + 1.00608i
\(590\) 48.5733 + 73.2645i 1.99973 + 3.01625i
\(591\) 30.5531 + 7.78639i 1.25679 + 0.320289i
\(592\) 5.10058 + 8.87813i 0.209632 + 0.364889i
\(593\) 1.22716 1.43636i 0.0503936 0.0589842i −0.734533 0.678573i \(-0.762599\pi\)
0.784927 + 0.619589i \(0.212701\pi\)
\(594\) 21.6313 + 7.94287i 0.887542 + 0.325900i
\(595\) 15.0647 + 10.1972i 0.617593 + 0.418043i
\(596\) 12.0519 29.0302i 0.493666 1.18912i
\(597\) −37.5707 + 19.8604i −1.53767 + 0.812831i
\(598\) 20.2354 + 37.4068i 0.827486 + 1.52968i
\(599\) 0.727716 + 1.88794i 0.0297337 + 0.0771390i 0.947152 0.320785i \(-0.103947\pi\)
−0.917418 + 0.397924i \(0.869731\pi\)
\(600\) −56.9367 106.881i −2.32443 4.36339i
\(601\) −30.6102 + 29.1754i −1.24861 + 1.19009i −0.275112 + 0.961412i \(0.588715\pi\)
−0.973502 + 0.228677i \(0.926560\pi\)
\(602\) 4.52903 38.0829i 0.184589 1.55214i
\(603\) −35.4260 11.4856i −1.44266 0.467728i
\(604\) 0.296898 + 0.0920765i 0.0120806 + 0.00374654i
\(605\) −41.8034 + 48.3005i −1.69955 + 1.96369i
\(606\) −5.73774 + 0.626578i −0.233080 + 0.0254530i
\(607\) 31.2863 + 25.2083i 1.26987 + 1.02317i 0.998150 + 0.0607987i \(0.0193648\pi\)
0.271721 + 0.962376i \(0.412407\pi\)
\(608\) 77.4851 + 64.9239i 3.14244 + 2.63301i
\(609\) 0.844654 + 29.3277i 0.0342271 + 1.18842i
\(610\) 2.19944 52.8542i 0.0890527 2.14000i
\(611\) 9.13576 14.3713i 0.369593 0.581399i
\(612\) −30.1668 92.0417i −1.21942 3.72056i
\(613\) 7.91688 + 6.21349i 0.319760 + 0.250960i 0.764391 0.644753i \(-0.223040\pi\)
−0.444631 + 0.895714i \(0.646665\pi\)
\(614\) 33.9729 + 69.0062i 1.37104 + 2.78486i
\(615\) −15.7299 + 6.35400i −0.634292 + 0.256218i
\(616\) 8.05588 + 71.6450i 0.324580 + 2.88666i
\(617\) −15.2357 + 0.487583i −0.613366 + 0.0196294i −0.337126 0.941459i \(-0.609455\pi\)
−0.276240 + 0.961089i \(0.589088\pi\)
\(618\) 14.7598 5.63507i 0.593725 0.226676i
\(619\) −20.6849 7.74593i −0.831397 0.311335i −0.101452 0.994840i \(-0.532349\pi\)
−0.729946 + 0.683505i \(0.760455\pi\)
\(620\) −93.7045 69.7431i −3.76326 2.80095i
\(621\) −4.17697 + 0.591881i −0.167616 + 0.0237514i
\(622\) −13.4479 49.4491i −0.539210 1.98273i
\(623\) 1.62484 1.02562i 0.0650978 0.0410907i
\(624\) 210.031 109.311i 8.40796 4.37596i
\(625\) 18.7833 19.3320i 0.751330 0.773281i
\(626\) 35.7551 62.2358i 1.42906 2.48744i
\(627\) 17.9379 + 50.3393i 0.716371 + 2.01036i
\(628\) −2.51732 25.2995i −0.100452 1.00956i
\(629\) 2.22257 1.72150i 0.0886198 0.0686407i
\(630\) −26.9185 27.0047i −1.07246 1.07589i
\(631\) −36.3802 3.97283i −1.44827 0.158156i −0.649762 0.760137i \(-0.725132\pi\)
−0.798510 + 0.601982i \(0.794378\pi\)
\(632\) 7.21764 6.70518i 0.287102 0.266718i
\(633\) −7.60527 + 20.9184i −0.302282 + 0.831434i
\(634\) 4.10470 + 28.3149i 0.163018 + 1.12453i
\(635\) −49.5189 9.62367i −1.96510 0.381904i
\(636\) 75.8430 + 33.4965i 3.00737 + 1.32822i
\(637\) 4.00640 28.9398i 0.158739 1.14664i
\(638\) 78.8618 + 120.618i 3.12217 + 4.77532i
\(639\) −9.01387 3.17954i −0.356583 0.125781i
\(640\) −178.048 + 53.9714i −7.03797 + 2.13341i
\(641\) 10.8997 + 4.98157i 0.430513 + 0.196760i 0.619126 0.785291i \(-0.287487\pi\)
−0.188613 + 0.982051i \(0.560399\pi\)
\(642\) −20.5710 35.2816i −0.811873 1.39245i
\(643\) −10.6996 + 10.0682i −0.421950 + 0.397051i −0.866882 0.498513i \(-0.833879\pi\)
0.444932 + 0.895564i \(0.353228\pi\)
\(644\) −11.5397 16.7006i −0.454729 0.658095i
\(645\) 78.8085 + 39.7430i 3.10308 + 1.56488i
\(646\) 25.8989 41.3226i 1.01898 1.62581i
\(647\) 23.8807 + 18.4969i 0.938847 + 0.727186i 0.962144 0.272542i \(-0.0878645\pi\)
−0.0232972 + 0.999729i \(0.507416\pi\)
\(648\) −8.92554 71.1655i −0.350628 2.79565i
\(649\) 56.9625 + 8.07164i 2.23597 + 0.316839i
\(650\) −48.2915 47.8302i −1.89415 1.87606i
\(651\) −19.7674 7.11528i −0.774747 0.278870i
\(652\) −29.4010 12.3163i −1.15143 0.482343i
\(653\) 1.57696 + 18.2112i 0.0617113 + 0.712658i 0.961225 + 0.275765i \(0.0889312\pi\)
−0.899514 + 0.436892i \(0.856079\pi\)
\(654\) −40.8834 5.52662i −1.59867 0.216108i
\(655\) 31.5533 17.7271i 1.23289 0.692656i
\(656\) 6.92430 + 36.2480i 0.270348 + 1.41525i
\(657\) −1.25603 + 17.0391i −0.0490022 + 0.664760i
\(658\) −4.84594 + 9.84313i −0.188915 + 0.383725i
\(659\) −18.5932 + 8.93308i −0.724288 + 0.347984i −0.758714 0.651424i \(-0.774172\pi\)
0.0344260 + 0.999407i \(0.489040\pi\)
\(660\) −248.067 59.8494i −9.65598 2.32963i
\(661\) −8.71996 + 11.6379i −0.339167 + 0.452662i −0.937191 0.348816i \(-0.886584\pi\)
0.598024 + 0.801478i \(0.295953\pi\)
\(662\) −6.21760 + 7.09172i −0.241654 + 0.275628i
\(663\) −37.6378 53.0071i −1.46173 2.05862i
\(664\) 13.4139 16.9791i 0.520561 0.658918i
\(665\) 1.31766 14.1618i 0.0510966 0.549170i
\(666\) −5.26136 + 2.65329i −0.203874 + 0.102813i
\(667\) −23.1652 12.6273i −0.896959 0.488930i
\(668\) −45.8767 + 91.6999i −1.77502 + 3.54797i
\(669\) −39.5375 + 17.7651i −1.52861 + 0.686840i
\(670\) 87.7825 + 17.6436i 3.39134 + 0.681631i
\(671\) −24.9085 24.0470i −0.961583 0.928326i
\(672\) −72.2074 + 48.2057i −2.78546 + 1.85957i
\(673\) 3.50708 10.7004i 0.135188 0.412471i −0.860019 0.510262i \(-0.829548\pi\)
0.995207 + 0.0977911i \(0.0311777\pi\)
\(674\) −37.9759 46.2172i −1.46278 1.78022i
\(675\) 6.11406 2.84178i 0.235330 0.109380i
\(676\) 63.4916 62.8852i 2.44199 2.41866i
\(677\) 13.1130 9.75982i 0.503972 0.375100i −0.314856 0.949139i \(-0.601956\pi\)
0.818828 + 0.574039i \(0.194624\pi\)
\(678\) 26.4528 7.65039i 1.01591 0.293811i
\(679\) −4.88480 + 12.4351i −0.187461 + 0.477216i
\(680\) 63.3820 + 137.515i 2.43059 + 5.27347i
\(681\) −0.706755 31.5544i −0.0270829 1.20917i
\(682\) −101.036 + 20.9809i −3.86888 + 0.803400i
\(683\) 20.4778 21.6229i 0.783560 0.827377i −0.204912 0.978780i \(-0.565691\pi\)
0.988472 + 0.151403i \(0.0483792\pi\)
\(684\) −51.7201 + 55.3170i −1.97757 + 2.11510i
\(685\) 48.2143 + 3.39903i 1.84217 + 0.129870i
\(686\) −1.23656 + 42.9353i −0.0472121 + 1.63928i
\(687\) 19.8714 22.3747i 0.758143 0.853648i
\(688\) 118.055 151.414i 4.50080 5.77259i
\(689\) 30.0571 + 3.47708i 1.14509 + 0.132466i
\(690\) 61.0053 15.9634i 2.32243 0.607717i
\(691\) −11.0868 35.3491i −0.421763 1.34474i −0.887903 0.460030i \(-0.847838\pi\)
0.466140 0.884711i \(-0.345644\pi\)
\(692\) 22.7042 + 11.2680i 0.863083 + 0.428346i
\(693\) −24.9138 + 1.43625i −0.946397 + 0.0545588i
\(694\) −32.5429 + 35.7113i −1.23531 + 1.35558i
\(695\) −10.3818 18.9016i −0.393804 0.716978i
\(696\) −120.299 + 212.530i −4.55990 + 8.05593i
\(697\) 9.59780 3.24803i 0.363543 0.123028i
\(698\) −28.8315 5.22125i −1.09129 0.197627i
\(699\) 16.7635 0.643870i 0.634054 0.0243534i
\(700\) 25.3921 + 20.1927i 0.959732 + 0.763211i
\(701\) −40.9056 24.7352i −1.54498 0.934235i −0.995087 0.0990021i \(-0.968435\pi\)
−0.549897 0.835233i \(-0.685333\pi\)
\(702\) 9.04680 + 19.9632i 0.341449 + 0.753461i
\(703\) −2.01628 0.875129i −0.0760456 0.0330061i
\(704\) −97.2268 + 210.946i −3.66437 + 7.95032i
\(705\) −17.4791 18.2216i −0.658303 0.686267i
\(706\) 77.8149 38.6194i 2.92860 1.45346i
\(707\) 0.873370 0.498050i 0.0328465 0.0187311i
\(708\) 49.4257 + 141.562i 1.85753 + 5.32021i
\(709\) −25.9630 + 5.04574i −0.975061 + 0.189497i −0.653113 0.757260i \(-0.726537\pi\)
−0.321948 + 0.946757i \(0.604338\pi\)
\(710\) 22.4066 + 5.10339i 0.840905 + 0.191527i
\(711\) 2.18166 + 2.62075i 0.0818188 + 0.0982858i
\(712\) 15.9906 0.306978i 0.599273 0.0115045i
\(713\) 14.4807 12.1332i 0.542305 0.454391i
\(714\) 27.8127 + 31.3164i 1.04087 + 1.17199i
\(715\) −92.9369 + 5.95456i −3.47564 + 0.222688i
\(716\) 17.0010 + 32.9225i 0.635358 + 1.23037i
\(717\) −3.94137 23.0220i −0.147193 0.859772i
\(718\) −13.3453 84.4335i −0.498041 3.15103i
\(719\) −30.6318 + 0.784143i −1.14237 + 0.0292436i −0.592188 0.805800i \(-0.701736\pi\)
−0.550184 + 0.835043i \(0.685442\pi\)
\(720\) −45.3630 185.419i −1.69058 6.91016i
\(721\) −1.96763 + 1.92406i −0.0732785 + 0.0716556i
\(722\) 14.6304 + 0.843425i 0.544486 + 0.0313890i
\(723\) 44.7174 + 25.5007i 1.66306 + 0.948380i
\(724\) −17.3186 + 93.9178i −0.643641 + 3.49043i
\(725\) 41.2842 + 8.57297i 1.53326 + 0.318392i
\(726\) −120.730 + 83.9937i −4.48072 + 3.11730i
\(727\) 30.3533 18.8890i 1.12574 0.700552i 0.167320 0.985903i \(-0.446489\pi\)
0.958423 + 0.285350i \(0.0921099\pi\)
\(728\) −43.1944 + 53.2593i −1.60089 + 1.97392i
\(729\) 36.0789 2.54350i 1.33626 0.0942038i
\(730\) −1.70790 41.0422i −0.0632122 1.51904i
\(731\) −45.6255 26.4068i −1.68752 0.976691i
\(732\) 25.9000 86.4374i 0.957291 3.19482i
\(733\) −19.2773 + 34.5711i −0.712023 + 1.27691i 0.239966 + 0.970781i \(0.422864\pi\)
−0.951989 + 0.306131i \(0.900965\pi\)
\(734\) 40.0920 + 8.59333i 1.47982 + 0.317186i
\(735\) −40.2689 15.9674i −1.48534 0.588967i
\(736\) −4.74257 77.9267i −0.174813 2.87241i
\(737\) 46.7847 35.2887i 1.72334 1.29988i
\(738\) −21.0465 + 2.84506i −0.774731 + 0.104728i
\(739\) −3.52875 15.7253i −0.129807 0.578464i −0.996785 0.0801176i \(-0.974470\pi\)
0.866978 0.498346i \(-0.166059\pi\)
\(740\) 8.76645 5.77174i 0.322261 0.212173i
\(741\) −22.1582 + 45.7443i −0.814001 + 1.68046i
\(742\) −19.4935 0.124728i −0.715629 0.00457891i
\(743\) 1.03705 + 1.10918i 0.0380458 + 0.0406917i 0.749196 0.662349i \(-0.230440\pi\)
−0.711150 + 0.703041i \(0.751825\pi\)
\(744\) −110.152 135.819i −4.03836 4.97935i
\(745\) −16.0757 5.55512i −0.588967 0.203524i
\(746\) −10.0548 3.83876i −0.368131 0.140547i
\(747\) 5.61600 + 4.95564i 0.205479 + 0.181317i
\(748\) 145.859 + 44.2140i 5.33313 + 1.61662i
\(749\) 5.73391 + 4.21094i 0.209512 + 0.153864i
\(750\) 8.02953 4.92580i 0.293197 0.179865i
\(751\) −0.144756 + 45.2478i −0.00528223 + 1.65111i 0.561669 + 0.827362i \(0.310160\pi\)
−0.566951 + 0.823752i \(0.691877\pi\)
\(752\) −46.2582 + 29.6144i −1.68686 + 1.07993i
\(753\) −12.6031 + 12.1672i −0.459281 + 0.443396i
\(754\) −29.1555 + 133.932i −1.06178 + 4.87751i
\(755\) 0.0399722 0.163384i 0.00145474 0.00594617i
\(756\) −5.32701 9.00353i −0.193741 0.327455i
\(757\) 30.8329 31.3301i 1.12064 1.13871i 0.131566 0.991307i \(-0.458000\pi\)
0.989076 0.147405i \(-0.0470921\pi\)
\(758\) −53.5314 + 74.3780i −1.94435 + 2.70153i
\(759\) 18.7015 36.7910i 0.678821 1.33543i
\(760\) 70.3803 95.1948i 2.55296 3.45308i
\(761\) 17.1434 25.5020i 0.621446 0.924448i −0.378553 0.925580i \(-0.623578\pi\)
0.999999 + 0.00113206i \(0.000360345\pi\)
\(762\) −105.009 49.6271i −3.80408 1.79780i
\(763\) 6.91599 1.95230i 0.250376 0.0706781i
\(764\) −32.3525 69.0276i −1.17047 2.49733i
\(765\) −48.7211 + 19.3189i −1.76151 + 0.698476i
\(766\) 40.9157 6.87012i 1.47835 0.248228i
\(767\) 32.5308 + 44.0005i 1.17462 + 1.58876i
\(768\) −216.394 + 9.69843i −7.80843 + 0.349962i
\(769\) 6.06715 + 3.56352i 0.218787 + 0.128504i 0.611752 0.791050i \(-0.290465\pi\)
−0.392965 + 0.919553i \(0.628551\pi\)
\(770\) 59.1057 10.3136i 2.13002 0.371678i