Properties

Label 983.2.c.a.492.9
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 492.9
Character \(\chi\) \(=\) 983.492
Dual form 983.2.c.a.2.9

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.752267 - 2.24656i) q^{2} +(-0.810068 + 0.455108i) q^{3} +(-2.88443 + 2.17566i) q^{4} +(2.05128 + 3.09401i) q^{5} +(1.63182 + 1.47751i) q^{6} +(0.245279 + 0.541247i) q^{7} +(3.15078 + 2.16226i) q^{8} +(-1.11145 + 1.82484i) q^{9} +O(q^{10})\) \(q+(-0.752267 - 2.24656i) q^{2} +(-0.810068 + 0.455108i) q^{3} +(-2.88443 + 2.17566i) q^{4} +(2.05128 + 3.09401i) q^{5} +(1.63182 + 1.47751i) q^{6} +(0.245279 + 0.541247i) q^{7} +(3.15078 + 2.16226i) q^{8} +(-1.11145 + 1.82484i) q^{9} +(5.40777 - 6.93585i) q^{10} +(4.98914 - 0.319659i) q^{11} +(1.34642 - 3.07516i) q^{12} +(-0.149493 + 0.172727i) q^{13} +(1.03143 - 0.958198i) q^{14} +(-3.06978 - 1.57280i) q^{15} +(0.502113 - 1.75720i) q^{16} +(-3.36321 - 1.48538i) q^{17} +(4.93572 + 1.12417i) q^{18} +(-5.44151 + 4.15931i) q^{19} +(-12.6483 - 4.46154i) q^{20} +(-0.445019 - 0.326818i) q^{21} +(-4.47130 - 10.9680i) q^{22} +(-0.224605 + 2.11958i) q^{23} +(-3.53641 - 0.317631i) q^{24} +(-3.41850 + 8.08784i) q^{25} +(0.500500 + 0.205908i) q^{26} +(0.167924 - 4.76982i) q^{27} +(-1.88506 - 1.02754i) q^{28} +(-5.50875 - 7.97241i) q^{29} +(-1.22410 + 8.07963i) q^{30} +(-0.0372810 + 0.0554582i) q^{31} +(3.30967 - 0.148334i) q^{32} +(-3.89606 + 2.52954i) q^{33} +(-0.806970 + 8.67307i) q^{34} +(-1.17149 + 1.86915i) q^{35} +(-0.764341 - 7.68175i) q^{36} +(4.65546 + 1.15476i) q^{37} +(13.4376 + 9.09579i) q^{38} +(0.0424900 - 0.207956i) q^{39} +(-0.226904 + 14.1839i) q^{40} +(-7.73094 + 0.694372i) q^{41} +(-0.399446 + 1.24562i) q^{42} +(-7.40511 + 10.1512i) q^{43} +(-13.6954 + 11.7767i) q^{44} +(-7.92595 + 0.304428i) q^{45} +(4.93073 - 1.08990i) q^{46} +(-1.59031 + 5.30744i) q^{47} +(0.392971 + 1.65197i) q^{48} +(4.38193 - 4.99798i) q^{49} +(20.7415 + 1.59567i) q^{50} +(3.40043 - 0.327364i) q^{51} +(0.0554060 - 0.823464i) q^{52} +(6.69487 + 6.14020i) q^{53} +(-10.8420 + 3.21092i) q^{54} +(11.2232 + 14.7807i) q^{55} +(-0.397495 + 2.23571i) q^{56} +(2.51506 - 5.84579i) q^{57} +(-13.7665 + 18.3731i) q^{58} +(0.0620738 - 0.00477543i) q^{59} +(12.2765 - 2.14218i) q^{60} +(-1.76055 + 1.49442i) q^{61} +(0.152636 + 0.0420347i) q^{62} +(-1.26030 - 0.153973i) q^{63} +(-4.13758 - 10.7343i) q^{64} +(-0.841069 - 0.108221i) q^{65} +(8.61366 + 6.84986i) q^{66} +(-7.97396 - 6.85687i) q^{67} +(12.9326 - 3.03274i) q^{68} +(-0.782690 - 1.81922i) q^{69} +(5.08043 + 1.22572i) q^{70} +(-4.28384 - 3.49706i) q^{71} +(-7.44770 + 3.34643i) q^{72} +(0.154207 - 0.110239i) q^{73} +(-0.907903 - 11.3275i) q^{74} +(-0.911618 - 8.10748i) q^{75} +(6.64640 - 23.8361i) q^{76} +(1.39675 + 2.62195i) q^{77} +(-0.499150 + 0.0609817i) q^{78} +(-1.81547 - 0.269114i) q^{79} +(6.46677 - 2.05098i) q^{80} +(-0.906349 - 1.75515i) q^{81} +(7.37568 + 16.8457i) q^{82} +(10.2734 + 3.18606i) q^{83} +(1.99467 - 0.0255266i) q^{84} +(-2.30311 - 13.4527i) q^{85} +(28.3760 + 8.99962i) q^{86} +(8.09076 + 3.95111i) q^{87} +(16.4109 + 9.78064i) q^{88} +(14.3478 - 9.44646i) q^{89} +(6.64635 + 17.5771i) q^{90} +(-0.130155 - 0.0385462i) q^{91} +(-3.96363 - 6.60243i) q^{92} +(0.00496065 - 0.0618917i) q^{93} +(13.1199 - 0.419871i) q^{94} +(-24.0310 - 8.30416i) q^{95} +(-2.61355 + 1.62641i) q^{96} +(7.71867 + 0.395440i) q^{97} +(-14.5247 - 6.08448i) q^{98} +(-4.96184 + 9.45966i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.752267 2.24656i −0.531933 1.58856i −0.783941 0.620835i \(-0.786794\pi\)
0.252008 0.967725i \(-0.418909\pi\)
\(3\) −0.810068 + 0.455108i −0.467693 + 0.262757i −0.705705 0.708506i \(-0.749370\pi\)
0.238012 + 0.971262i \(0.423504\pi\)
\(4\) −2.88443 + 2.17566i −1.44221 + 1.08783i
\(5\) 2.05128 + 3.09401i 0.917360 + 1.38368i 0.923458 + 0.383700i \(0.125350\pi\)
−0.00609754 + 0.999981i \(0.501941\pi\)
\(6\) 1.63182 + 1.47751i 0.666186 + 0.603189i
\(7\) 0.245279 + 0.541247i 0.0927069 + 0.204572i 0.951428 0.307871i \(-0.0996164\pi\)
−0.858721 + 0.512443i \(0.828741\pi\)
\(8\) 3.15078 + 2.16226i 1.11397 + 0.764474i
\(9\) −1.11145 + 1.82484i −0.370482 + 0.608279i
\(10\) 5.40777 6.93585i 1.71009 2.19331i
\(11\) 4.98914 0.319659i 1.50428 0.0963809i 0.710118 0.704083i \(-0.248642\pi\)
0.794165 + 0.607702i \(0.207909\pi\)
\(12\) 1.34642 3.07516i 0.388678 0.887722i
\(13\) −0.149493 + 0.172727i −0.0414618 + 0.0479058i −0.776482 0.630140i \(-0.782998\pi\)
0.735020 + 0.678045i \(0.237173\pi\)
\(14\) 1.03143 0.958198i 0.275662 0.256089i
\(15\) −3.06978 1.57280i −0.792614 0.406095i
\(16\) 0.502113 1.75720i 0.125528 0.439301i
\(17\) −3.36321 1.48538i −0.815698 0.360258i −0.0462203 0.998931i \(-0.514718\pi\)
−0.769478 + 0.638674i \(0.779483\pi\)
\(18\) 4.93572 + 1.12417i 1.16336 + 0.264970i
\(19\) −5.44151 + 4.15931i −1.24837 + 0.954211i −0.999896 0.0144283i \(-0.995407\pi\)
−0.248472 + 0.968639i \(0.579929\pi\)
\(20\) −12.6483 4.46154i −2.82824 0.997632i
\(21\) −0.445019 0.326818i −0.0971111 0.0713176i
\(22\) −4.47130 10.9680i −0.953285 2.33838i
\(23\) −0.224605 + 2.11958i −0.0468333 + 0.441962i 0.946152 + 0.323723i \(0.104935\pi\)
−0.992985 + 0.118239i \(0.962275\pi\)
\(24\) −3.53641 0.317631i −0.721866 0.0648361i
\(25\) −3.41850 + 8.08784i −0.683701 + 1.61757i
\(26\) 0.500500 + 0.205908i 0.0981562 + 0.0403820i
\(27\) 0.167924 4.76982i 0.0323169 0.917951i
\(28\) −1.88506 1.02754i −0.356243 0.194188i
\(29\) −5.50875 7.97241i −1.02295 1.48044i −0.870526 0.492123i \(-0.836221\pi\)
−0.152424 0.988315i \(-0.548708\pi\)
\(30\) −1.22410 + 8.07963i −0.223490 + 1.47513i
\(31\) −0.0372810 + 0.0554582i −0.00669586 + 0.00996059i −0.833244 0.552905i \(-0.813519\pi\)
0.826548 + 0.562866i \(0.190301\pi\)
\(32\) 3.30967 0.148334i 0.585072 0.0262220i
\(33\) −3.89606 + 2.52954i −0.678218 + 0.440337i
\(34\) −0.806970 + 8.67307i −0.138394 + 1.48742i
\(35\) −1.17149 + 1.86915i −0.198017 + 0.315943i
\(36\) −0.764341 7.68175i −0.127390 1.28029i
\(37\) 4.65546 + 1.15476i 0.765354 + 0.189842i 0.603923 0.797042i \(-0.293603\pi\)
0.161430 + 0.986884i \(0.448389\pi\)
\(38\) 13.4376 + 9.09579i 2.17987 + 1.47553i
\(39\) 0.0424900 0.207956i 0.00680385 0.0332996i
\(40\) −0.226904 + 14.1839i −0.0358767 + 2.24268i
\(41\) −7.73094 + 0.694372i −1.20737 + 0.108443i −0.674837 0.737967i \(-0.735786\pi\)
−0.532532 + 0.846410i \(0.678760\pi\)
\(42\) −0.399446 + 1.24562i −0.0616358 + 0.192203i
\(43\) −7.40511 + 10.1512i −1.12927 + 1.54805i −0.333183 + 0.942862i \(0.608123\pi\)
−0.796085 + 0.605184i \(0.793099\pi\)
\(44\) −13.6954 + 11.7767i −2.06465 + 1.77541i
\(45\) −7.92595 + 0.304428i −1.18153 + 0.0453814i
\(46\) 4.93073 1.08990i 0.726996 0.160697i
\(47\) −1.59031 + 5.30744i −0.231971 + 0.774170i 0.760244 + 0.649637i \(0.225079\pi\)
−0.992215 + 0.124533i \(0.960257\pi\)
\(48\) 0.392971 + 1.65197i 0.0567205 + 0.238441i
\(49\) 4.38193 4.99798i 0.625990 0.713997i
\(50\) 20.7415 + 1.59567i 2.93329 + 0.225662i
\(51\) 3.40043 0.327364i 0.476156 0.0458401i
\(52\) 0.0554060 0.823464i 0.00768342 0.114194i
\(53\) 6.69487 + 6.14020i 0.919612 + 0.843421i 0.988034 0.154236i \(-0.0492915\pi\)
−0.0684225 + 0.997656i \(0.521797\pi\)
\(54\) −10.8420 + 3.21092i −1.47541 + 0.436951i
\(55\) 11.2232 + 14.7807i 1.51333 + 1.99303i
\(56\) −0.397495 + 2.23571i −0.0531174 + 0.298759i
\(57\) 2.51506 5.84579i 0.333128 0.774294i
\(58\) −13.7665 + 18.3731i −1.80763 + 2.41251i
\(59\) 0.0620738 0.00477543i 0.00808132 0.000621708i −0.0726636 0.997357i \(-0.523150\pi\)
0.0807449 + 0.996735i \(0.474270\pi\)
\(60\) 12.2765 2.14218i 1.58488 0.276554i
\(61\) −1.76055 + 1.49442i −0.225416 + 0.191341i −0.752731 0.658328i \(-0.771264\pi\)
0.527315 + 0.849670i \(0.323199\pi\)
\(62\) 0.152636 + 0.0420347i 0.0193847 + 0.00533841i
\(63\) −1.26030 0.153973i −0.158783 0.0193988i
\(64\) −4.13758 10.7343i −0.517198 1.34178i
\(65\) −0.841069 0.108221i −0.104322 0.0134231i
\(66\) 8.61366 + 6.84986i 1.06027 + 0.843160i
\(67\) −7.97396 6.85687i −0.974175 0.837700i 0.0125797 0.999921i \(-0.495996\pi\)
−0.986754 + 0.162221i \(0.948134\pi\)
\(68\) 12.9326 3.03274i 1.56831 0.367773i
\(69\) −0.782690 1.81922i −0.0942248 0.219008i
\(70\) 5.08043 + 1.22572i 0.607227 + 0.146502i
\(71\) −4.28384 3.49706i −0.508399 0.415025i 0.343166 0.939275i \(-0.388501\pi\)
−0.851565 + 0.524250i \(0.824346\pi\)
\(72\) −7.44770 + 3.34643i −0.877720 + 0.394380i
\(73\) 0.154207 0.110239i 0.0180485 0.0129025i −0.572496 0.819907i \(-0.694025\pi\)
0.590545 + 0.807005i \(0.298913\pi\)
\(74\) −0.907903 11.3275i −0.105542 1.31679i
\(75\) −0.911618 8.10748i −0.105265 0.936172i
\(76\) 6.64640 23.8361i 0.762394 2.73419i
\(77\) 1.39675 + 2.62195i 0.159174 + 0.298799i
\(78\) −0.499150 + 0.0609817i −0.0565176 + 0.00690482i
\(79\) −1.81547 0.269114i −0.204256 0.0302777i 0.0437198 0.999044i \(-0.486079\pi\)
−0.247976 + 0.968766i \(0.579765\pi\)
\(80\) 6.46677 2.05098i 0.723007 0.229306i
\(81\) −0.906349 1.75515i −0.100705 0.195016i
\(82\) 7.37568 + 16.8457i 0.814507 + 1.86029i
\(83\) 10.2734 + 3.18606i 1.12765 + 0.349715i 0.802917 0.596091i \(-0.203280\pi\)
0.324731 + 0.945807i \(0.394726\pi\)
\(84\) 1.99467 0.0255266i 0.217637 0.00278518i
\(85\) −2.30311 13.4527i −0.249807 1.45915i
\(86\) 28.3760 + 8.99962i 3.05986 + 0.970453i
\(87\) 8.09076 + 3.95111i 0.867421 + 0.423604i
\(88\) 16.4109 + 9.78064i 1.74941 + 1.04262i
\(89\) 14.3478 9.44646i 1.52087 1.00132i 0.532983 0.846126i \(-0.321071\pi\)
0.987884 0.155197i \(-0.0496012\pi\)
\(90\) 6.64635 + 17.5771i 0.700586 + 1.85279i
\(91\) −0.130155 0.0385462i −0.0136440 0.00404074i
\(92\) −3.96363 6.60243i −0.413237 0.688351i
\(93\) 0.00496065 0.0618917i 0.000514395 0.00641787i
\(94\) 13.1199 0.419871i 1.35321 0.0433064i
\(95\) −24.0310 8.30416i −2.46553 0.851989i
\(96\) −2.61355 + 1.62641i −0.266744 + 0.165995i
\(97\) 7.71867 + 0.395440i 0.783712 + 0.0401508i 0.438917 0.898527i \(-0.355362\pi\)
0.344794 + 0.938678i \(0.387949\pi\)
\(98\) −14.5247 6.08448i −1.46721 0.614625i
\(99\) −4.96184 + 9.45966i −0.498684 + 0.950731i
\(100\) −7.73599 30.7663i −0.773599 3.07663i
\(101\) −13.7873 + 9.99010i −1.37188 + 0.994053i −0.374109 + 0.927385i \(0.622051\pi\)
−0.997775 + 0.0666678i \(0.978763\pi\)
\(102\) −3.29348 7.39303i −0.326103 0.732019i
\(103\) −8.96055 + 3.48686i −0.882910 + 0.343571i −0.760831 0.648950i \(-0.775208\pi\)
−0.122078 + 0.992520i \(0.538956\pi\)
\(104\) −0.844499 + 0.220982i −0.0828100 + 0.0216691i
\(105\) 0.0983200 2.04729i 0.00959505 0.199795i
\(106\) 8.75801 19.6595i 0.850653 1.90950i
\(107\) 3.24949 + 15.4007i 0.314140 + 1.48884i 0.792064 + 0.610439i \(0.209007\pi\)
−0.477923 + 0.878402i \(0.658610\pi\)
\(108\) 9.89315 + 14.1235i 0.951969 + 1.35904i
\(109\) −3.57337 + 4.23712i −0.342267 + 0.405842i −0.908151 0.418642i \(-0.862506\pi\)
0.565885 + 0.824484i \(0.308535\pi\)
\(110\) 24.7630 36.3326i 2.36106 3.46418i
\(111\) −4.29678 + 1.18330i −0.407833 + 0.112314i
\(112\) 1.07424 0.159239i 0.101506 0.0150466i
\(113\) 11.6265 5.67777i 1.09373 0.534120i 0.198667 0.980067i \(-0.436339\pi\)
0.895059 + 0.445947i \(0.147133\pi\)
\(114\) −15.0249 1.25264i −1.40722 0.117321i
\(115\) −7.01871 + 3.65291i −0.654498 + 0.340636i
\(116\) 33.2349 + 11.0107i 3.08578 + 1.02231i
\(117\) −0.149045 0.464777i −0.0137792 0.0429686i
\(118\) −0.0574244 0.135860i −0.00528634 0.0125070i
\(119\) −0.0209680 2.18466i −0.00192213 0.200268i
\(120\) −6.27141 11.5932i −0.572499 1.05831i
\(121\) 13.8793 1.78585i 1.26175 0.162350i
\(122\) 4.68172 + 2.83099i 0.423863 + 0.256305i
\(123\) 5.94657 4.08090i 0.536184 0.367962i
\(124\) −0.0131241 0.241076i −0.00117858 0.0216493i
\(125\) −13.7936 + 2.58922i −1.23374 + 0.231587i
\(126\) 0.602175 + 2.94718i 0.0536460 + 0.262556i
\(127\) −2.07589 + 5.00032i −0.184205 + 0.443707i −0.988634 0.150343i \(-0.951962\pi\)
0.804429 + 0.594049i \(0.202472\pi\)
\(128\) −15.8967 + 13.1475i −1.40508 + 1.16208i
\(129\) 1.37874 11.5933i 0.121391 1.02073i
\(130\) 0.389584 + 1.97093i 0.0341688 + 0.172862i
\(131\) −1.65815 + 0.849554i −0.144874 + 0.0742259i −0.526909 0.849922i \(-0.676649\pi\)
0.382035 + 0.924148i \(0.375223\pi\)
\(132\) 5.73448 15.7728i 0.499123 1.37285i
\(133\) −3.58591 1.92501i −0.310937 0.166920i
\(134\) −9.40584 + 23.0722i −0.812541 + 1.99314i
\(135\) 15.1023 9.26467i 1.29980 0.797376i
\(136\) −7.38496 11.9522i −0.633255 1.02490i
\(137\) −7.00058 + 12.3678i −0.598100 + 1.05666i 0.392485 + 0.919758i \(0.371615\pi\)
−0.990585 + 0.136898i \(0.956287\pi\)
\(138\) −3.49820 + 3.12690i −0.297787 + 0.266180i
\(139\) −4.80541 9.16142i −0.407590 0.777062i 0.591993 0.805943i \(-0.298341\pi\)
−0.999583 + 0.0288811i \(0.990806\pi\)
\(140\) −0.687566 7.94018i −0.0581099 0.671067i
\(141\) −1.12720 5.02315i −0.0949270 0.423026i
\(142\) −4.63378 + 12.2547i −0.388858 + 1.02839i
\(143\) −0.690627 + 0.909545i −0.0577531 + 0.0760600i
\(144\) 2.64854 + 2.86931i 0.220711 + 0.239109i
\(145\) 13.3667 33.3977i 1.11004 2.77353i
\(146\) −0.363663 0.263506i −0.0300969 0.0218079i
\(147\) −1.27504 + 6.04295i −0.105164 + 0.498414i
\(148\) −15.9407 + 6.79789i −1.31032 + 0.558783i
\(149\) −5.03696 + 19.5037i −0.412644 + 1.59780i 0.340698 + 0.940173i \(0.389337\pi\)
−0.753342 + 0.657629i \(0.771559\pi\)
\(150\) −17.5282 + 8.14700i −1.43117 + 0.665200i
\(151\) 12.1520 + 4.37413i 0.988919 + 0.355961i 0.782601 0.622524i \(-0.213893\pi\)
0.206318 + 0.978485i \(0.433852\pi\)
\(152\) −26.1385 + 1.33912i −2.12011 + 0.108617i
\(153\) 6.44861 4.48639i 0.521339 0.362703i
\(154\) 4.83966 5.11029i 0.389991 0.411799i
\(155\) −0.248062 0.00158721i −0.0199248 0.000127488i
\(156\) 0.329882 + 0.692277i 0.0264117 + 0.0554266i
\(157\) 8.70178 9.42713i 0.694477 0.752367i −0.283977 0.958831i \(-0.591654\pi\)
0.978454 + 0.206464i \(0.0661956\pi\)
\(158\) 0.761137 + 4.28102i 0.0605528 + 0.340579i
\(159\) −8.21775 1.92709i −0.651710 0.152828i
\(160\) 7.24800 + 9.93585i 0.573005 + 0.785498i
\(161\) −1.20231 + 0.398322i −0.0947550 + 0.0313921i
\(162\) −3.26123 + 3.35651i −0.256227 + 0.263712i
\(163\) 8.95485 + 2.28212i 0.701398 + 0.178750i 0.580913 0.813966i \(-0.302696\pi\)
0.120485 + 0.992715i \(0.461555\pi\)
\(164\) 20.7886 18.8228i 1.62332 1.46981i
\(165\) −15.8183 6.86564i −1.23146 0.534489i
\(166\) −0.570623 25.4765i −0.0442889 1.97736i
\(167\) −0.429282 + 2.32797i −0.0332189 + 0.180144i −0.995896 0.0905099i \(-0.971150\pi\)
0.962677 + 0.270654i \(0.0872399\pi\)
\(168\) −0.695491 1.99198i −0.0536583 0.153685i
\(169\) 1.85757 + 12.8139i 0.142890 + 0.985683i
\(170\) −28.4898 + 15.2941i −2.18507 + 1.17301i
\(171\) −1.54211 14.5527i −0.117928 1.11287i
\(172\) −0.726139 45.3915i −0.0553676 3.46107i
\(173\) 3.78391 + 0.710284i 0.287686 + 0.0540019i 0.326346 0.945251i \(-0.394183\pi\)
−0.0386601 + 0.999252i \(0.512309\pi\)
\(174\) 2.79002 21.1487i 0.211511 1.60328i
\(175\) −5.21601 + 0.133525i −0.394293 + 0.0100935i
\(176\) 1.94340 8.92744i 0.146490 0.672931i
\(177\) −0.0481106 + 0.0321187i −0.00361622 + 0.00241419i
\(178\) −32.0155 25.1271i −2.39966 1.88335i
\(179\) −11.5229 + 5.53615i −0.861259 + 0.413791i −0.811070 0.584949i \(-0.801115\pi\)
−0.0501886 + 0.998740i \(0.515982\pi\)
\(180\) 22.1995 18.1223i 1.65465 1.35076i
\(181\) −5.64787 + 11.2892i −0.419803 + 0.839117i 0.579899 + 0.814689i \(0.303092\pi\)
−0.999702 + 0.0244281i \(0.992224\pi\)
\(182\) 0.0113150 + 0.321400i 0.000838726 + 0.0238237i
\(183\) 0.746042 2.01182i 0.0551490 0.148718i
\(184\) −5.29075 + 6.19267i −0.390039 + 0.456530i
\(185\) 5.97682 + 16.7728i 0.439424 + 1.23316i
\(186\) −0.142775 + 0.0354147i −0.0104688 + 0.00259673i
\(187\) −17.2543 6.33569i −1.26176 0.463312i
\(188\) −6.96006 18.7689i −0.507615 1.36887i
\(189\) 2.62284 1.07905i 0.190783 0.0784893i
\(190\) −0.578116 + 60.2341i −0.0419410 + 4.36984i
\(191\) 7.65595 4.04704i 0.553965 0.292833i −0.166825 0.985987i \(-0.553351\pi\)
0.720790 + 0.693153i \(0.243779\pi\)
\(192\) 8.23697 + 6.81244i 0.594452 + 0.491645i
\(193\) 8.13672 7.75533i 0.585694 0.558241i −0.338110 0.941106i \(-0.609788\pi\)
0.923804 + 0.382865i \(0.125063\pi\)
\(194\) −4.91812 17.6380i −0.353100 1.26633i
\(195\) 0.730575 0.295111i 0.0523176 0.0211333i
\(196\) −1.76545 + 23.9499i −0.126104 + 1.71071i
\(197\) 23.3572 + 6.27189i 1.66413 + 0.446853i 0.963726 0.266893i \(-0.0859971\pi\)
0.700404 + 0.713747i \(0.253003\pi\)
\(198\) 24.9844 + 4.03091i 1.77556 + 0.286464i
\(199\) 1.04974 + 1.62821i 0.0744139 + 0.115421i 0.875690 0.482874i \(-0.160407\pi\)
−0.801276 + 0.598295i \(0.795845\pi\)
\(200\) −28.2590 + 18.0913i −1.99821 + 1.27925i
\(201\) 9.58006 + 1.92551i 0.675726 + 0.135815i
\(202\) 32.8151 + 23.4587i 2.30886 + 1.65055i
\(203\) 2.96386 4.93706i 0.208022 0.346514i
\(204\) −9.09608 + 8.34246i −0.636853 + 0.584089i
\(205\) −18.0067 22.4952i −1.25764 1.57113i
\(206\) 14.5742 + 17.5074i 1.01543 + 1.21980i
\(207\) −3.61825 2.76566i −0.251485 0.192227i
\(208\) 0.228454 + 0.349417i 0.0158404 + 0.0242277i
\(209\) −25.8189 + 22.4908i −1.78593 + 1.55572i
\(210\) −4.67332 + 1.31922i −0.322490 + 0.0910351i
\(211\) 3.27052 19.8669i 0.225152 1.36769i −0.598738 0.800945i \(-0.704331\pi\)
0.823890 0.566750i \(-0.191799\pi\)
\(212\) −32.6699 3.14517i −2.24378 0.216011i
\(213\) 5.06174 + 0.883249i 0.346825 + 0.0605192i
\(214\) 32.1541 18.8856i 2.19801 1.29099i
\(215\) −46.5979 2.08845i −3.17795 0.142431i
\(216\) 10.8427 14.6656i 0.737750 0.997865i
\(217\) −0.0391609 0.00657546i −0.00265841 0.000446371i
\(218\) 12.2071 + 4.84035i 0.826768 + 0.327830i
\(219\) −0.0747473 + 0.159481i −0.00505095 + 0.0107767i
\(220\) −64.5303 18.2161i −4.35063 1.22813i
\(221\) 0.759341 0.358863i 0.0510788 0.0241397i
\(222\) 5.89069 + 8.76284i 0.395357 + 0.588123i
\(223\) 1.11196 + 1.50401i 0.0744621 + 0.100716i 0.839753 0.542969i \(-0.182700\pi\)
−0.765290 + 0.643685i \(0.777405\pi\)
\(224\) 0.892078 + 1.75496i 0.0596045 + 0.117258i
\(225\) −10.9595 15.2274i −0.730634 1.01516i
\(226\) −21.5017 21.8484i −1.43027 1.45333i
\(227\) −12.6449 + 21.3719i −0.839270 + 1.41851i 0.0678783 + 0.997694i \(0.478377\pi\)
−0.907148 + 0.420812i \(0.861745\pi\)
\(228\) 5.46397 + 22.3337i 0.361860 + 1.47909i
\(229\) −5.44849 25.0288i −0.360046 1.65395i −0.700474 0.713678i \(-0.747028\pi\)
0.340428 0.940271i \(-0.389428\pi\)
\(230\) 13.4864 + 13.0200i 0.889270 + 0.858514i
\(231\) −2.32473 1.48829i −0.152956 0.0979222i
\(232\) −0.118468 37.0307i −0.00777781 2.43118i
\(233\) −8.73616 5.35930i −0.572325 0.351099i 0.206397 0.978468i \(-0.433826\pi\)
−0.778722 + 0.627369i \(0.784132\pi\)
\(234\) −0.932029 + 0.684475i −0.0609287 + 0.0447455i
\(235\) −19.6834 + 5.96661i −1.28401 + 0.389219i
\(236\) −0.168658 + 0.148826i −0.0109787 + 0.00968775i
\(237\) 1.59313 0.608234i 0.103485 0.0395090i
\(238\) −4.89221 + 1.69055i −0.317115 + 0.109582i
\(239\) −8.10359 + 9.99184i −0.524177 + 0.646318i −0.968342 0.249627i \(-0.919692\pi\)
0.444165 + 0.895945i \(0.353501\pi\)
\(240\) −4.30511 + 4.60450i −0.277893 + 0.297219i
\(241\) 9.65966 0.0618068i 0.622234 0.00398133i 0.305036 0.952341i \(-0.401332\pi\)
0.317198 + 0.948359i \(0.397258\pi\)
\(242\) −14.4530 29.8373i −0.929072 1.91801i
\(243\) 13.4920 + 8.88301i 0.865514 + 0.569845i
\(244\) 1.82682 8.14093i 0.116950 0.521169i
\(245\) 24.4523 + 3.30547i 1.56220 + 0.211179i
\(246\) −13.6414 10.2894i −0.869744 0.656029i
\(247\) 0.0950429 1.56168i 0.00604744 0.0993674i
\(248\) −0.237379 + 0.0941257i −0.0150736 + 0.00597698i
\(249\) −9.77211 + 2.09456i −0.619282 + 0.132737i
\(250\) 16.1933 + 29.0404i 1.02416 + 1.83668i
\(251\) 2.65079 + 8.84664i 0.167317 + 0.558395i 0.999989 + 0.00462941i \(0.00147359\pi\)
−0.832673 + 0.553766i \(0.813190\pi\)
\(252\) 3.97025 2.29787i 0.250102 0.144752i
\(253\) −0.443043 + 10.6467i −0.0278539 + 0.669350i
\(254\) 12.7952 + 0.902037i 0.802839 + 0.0565989i
\(255\) 7.98811 + 9.84945i 0.500235 + 0.616796i
\(256\) 21.9607 + 13.6662i 1.37254 + 0.854136i
\(257\) −10.0028 6.95909i −0.623958 0.434096i 0.216267 0.976334i \(-0.430612\pi\)
−0.840225 + 0.542238i \(0.817577\pi\)
\(258\) −27.0823 + 5.62383i −1.68607 + 0.350124i
\(259\) 0.516877 + 2.80300i 0.0321172 + 0.174170i
\(260\) 2.66146 1.51773i 0.165057 0.0941256i
\(261\) 20.6710 1.19166i 1.27950 0.0737621i
\(262\) 3.15595 + 3.08606i 0.194975 + 0.190657i
\(263\) −0.740533 + 3.02689i −0.0456632 + 0.186646i −0.989691 0.143220i \(-0.954254\pi\)
0.944028 + 0.329867i \(0.107004\pi\)
\(264\) −17.7452 0.454259i −1.09214 0.0279577i
\(265\) −5.26474 + 33.3092i −0.323411 + 2.04617i
\(266\) −1.62710 + 9.50409i −0.0997640 + 0.582733i
\(267\) −7.32356 + 14.1821i −0.448194 + 0.867929i
\(268\) 37.9186 + 2.42948i 2.31625 + 0.148404i
\(269\) −8.59106 + 9.67329i −0.523806 + 0.589791i −0.948986 0.315318i \(-0.897889\pi\)
0.425180 + 0.905109i \(0.360211\pi\)
\(270\) −32.1746 26.9588i −1.95809 1.64066i
\(271\) 4.53271 + 0.0870164i 0.275343 + 0.00528587i 0.156682 0.987649i \(-0.449920\pi\)
0.118660 + 0.992935i \(0.462140\pi\)
\(272\) −4.29882 + 5.16401i −0.260654 + 0.313114i
\(273\) 0.122977 0.0280097i 0.00744293 0.00169522i
\(274\) 33.0515 + 6.42333i 1.99671 + 0.388048i
\(275\) −14.4700 + 41.4441i −0.872577 + 2.49917i
\(276\) 6.21562 + 3.54454i 0.374137 + 0.213356i
\(277\) 1.65529 + 0.821516i 0.0994566 + 0.0493601i 0.493601 0.869688i \(-0.335680\pi\)
−0.394145 + 0.919048i \(0.628959\pi\)
\(278\) −16.9668 + 17.6875i −1.01760 + 1.06083i
\(279\) −0.0597664 0.129671i −0.00357812 0.00776317i
\(280\) −7.73267 + 3.35622i −0.462116 + 0.200572i
\(281\) −3.15953 + 6.97199i −0.188482 + 0.415914i −0.981020 0.193909i \(-0.937883\pi\)
0.792538 + 0.609822i \(0.208759\pi\)
\(282\) −10.4369 + 6.31107i −0.621507 + 0.375819i
\(283\) −2.16786 + 1.72396i −0.128866 + 0.102479i −0.684738 0.728790i \(-0.740083\pi\)
0.555872 + 0.831268i \(0.312385\pi\)
\(284\) 19.9649 + 0.766831i 1.18470 + 0.0455030i
\(285\) 23.2460 4.20975i 1.37697 0.249364i
\(286\) 2.56289 + 0.867317i 0.151547 + 0.0512855i
\(287\) −2.27207 4.01403i −0.134116 0.236941i
\(288\) −3.40783 + 6.20447i −0.200809 + 0.365602i
\(289\) −2.34564 2.57402i −0.137979 0.151413i
\(290\) −85.0855 4.90509i −4.99639 0.288037i
\(291\) −6.43261 + 3.19249i −0.377086 + 0.187147i
\(292\) −0.204956 + 0.653477i −0.0119941 + 0.0382419i
\(293\) 13.8737 + 3.63038i 0.810513 + 0.212089i 0.635124 0.772410i \(-0.280949\pi\)
0.175389 + 0.984499i \(0.443882\pi\)
\(294\) 14.5351 1.68145i 0.847702 0.0980641i
\(295\) 0.142106 + 0.182261i 0.00827373 + 0.0106116i
\(296\) 12.1715 + 13.7047i 0.707452 + 0.796571i
\(297\) −0.686921 23.8510i −0.0398592 1.38397i
\(298\) 47.6054 3.35610i 2.75770 0.194414i
\(299\) −0.332531 0.355657i −0.0192308 0.0205682i
\(300\) 20.2687 + 21.4021i 1.17021 + 1.23565i
\(301\) −7.31064 1.51811i −0.421378 0.0875023i
\(302\) 0.685173 30.5908i 0.0394273 1.76031i
\(303\) 6.62205 14.3674i 0.380427 0.825383i
\(304\) 4.57649 + 11.6503i 0.262480 + 0.668189i
\(305\) −8.23514 2.38168i −0.471543 0.136374i
\(306\) −14.9300 11.1122i −0.853493 0.635245i
\(307\) 9.39559 + 9.30585i 0.536235 + 0.531113i 0.919793 0.392404i \(-0.128356\pi\)
−0.383558 + 0.923517i \(0.625301\pi\)
\(308\) −9.73331 4.52398i −0.554607 0.257778i
\(309\) 5.67176 6.90261i 0.322655 0.392676i
\(310\) 0.183043 + 0.558480i 0.0103961 + 0.0317196i
\(311\) −9.33473 6.23187i −0.529324 0.353377i 0.261713 0.965146i \(-0.415713\pi\)
−0.791036 + 0.611769i \(0.790458\pi\)
\(312\) 0.583531 0.563349i 0.0330359 0.0318934i
\(313\) 14.8291 2.98054i 0.838193 0.168470i 0.240957 0.970536i \(-0.422539\pi\)
0.597236 + 0.802066i \(0.296266\pi\)
\(314\) −27.7247 12.4574i −1.56460 0.703011i
\(315\) −2.10884 4.21523i −0.118820 0.237501i
\(316\) 5.82210 3.17361i 0.327519 0.178530i
\(317\) 19.0978 + 9.63096i 1.07264 + 0.540929i 0.896321 0.443405i \(-0.146230\pi\)
0.176316 + 0.984334i \(0.443582\pi\)
\(318\) 1.85262 + 19.9114i 0.103890 + 1.11658i
\(319\) −30.0324 38.0145i −1.68149 2.12841i
\(320\) 24.7245 34.8207i 1.38214 1.94654i
\(321\) −9.64128 10.9967i −0.538124 0.613777i
\(322\) 1.79931 + 2.40141i 0.100272 + 0.133825i
\(323\) 24.4791 5.90591i 1.36205 0.328613i
\(324\) 6.43291 + 3.09068i 0.357384 + 0.171705i
\(325\) −0.885945 1.79954i −0.0491434 0.0998206i
\(326\) −1.60950 21.8344i −0.0891422 1.20930i
\(327\) 0.966325 5.05862i 0.0534379 0.279742i
\(328\) −25.8599 14.5285i −1.42787 0.802200i
\(329\) −3.26271 + 0.441053i −0.179879 + 0.0243160i
\(330\) −3.52449 + 40.7017i −0.194017 + 2.24055i
\(331\) 29.5224 12.3671i 1.62270 0.679759i 0.627591 0.778543i \(-0.284041\pi\)
0.995109 + 0.0987838i \(0.0314952\pi\)
\(332\) −36.5646 + 13.1614i −2.00674 + 0.722326i
\(333\) −7.28156 + 7.21201i −0.399027 + 0.395216i
\(334\) 5.55288 0.786848i 0.303840 0.0430544i
\(335\) 4.85835 38.7368i 0.265440 2.11642i
\(336\) −0.797736 + 0.617888i −0.0435201 + 0.0337086i
\(337\) −16.0451 25.6004i −0.874030 1.39454i −0.918452 0.395532i \(-0.870560\pi\)
0.0444225 0.999013i \(-0.485855\pi\)
\(338\) 27.3898 13.8126i 1.48981 0.751307i
\(339\) −6.83423 + 9.89068i −0.371184 + 0.537188i
\(340\) 35.9117 + 33.7926i 1.94759 + 1.83266i
\(341\) −0.168272 + 0.288606i −0.00911245 + 0.0156289i
\(342\) −31.5336 + 14.4120i −1.70514 + 0.779310i
\(343\) 7.76069 + 2.35248i 0.419038 + 0.127022i
\(344\) −45.2814 + 15.9725i −2.44141 + 0.861181i
\(345\) 4.02316 6.15338i 0.216600 0.331287i
\(346\) −1.25081 9.03512i −0.0672442 0.485731i
\(347\) −6.80437 + 3.00519i −0.365278 + 0.161327i −0.578512 0.815674i \(-0.696366\pi\)
0.213234 + 0.977001i \(0.431600\pi\)
\(348\) −31.9335 + 6.20607i −1.71182 + 0.332680i
\(349\) 2.22859 15.3732i 0.119294 0.822909i −0.840421 0.541934i \(-0.817692\pi\)
0.959715 0.280975i \(-0.0906579\pi\)
\(350\) 4.22380 + 11.6177i 0.225772 + 0.620990i
\(351\) 0.798772 + 0.742058i 0.0426353 + 0.0396081i
\(352\) 16.4650 1.79803i 0.877586 0.0958351i
\(353\) 11.9046 11.9428i 0.633620 0.635650i −0.316109 0.948723i \(-0.602377\pi\)
0.949729 + 0.313072i \(0.101358\pi\)
\(354\) 0.108349 + 0.0839218i 0.00575867 + 0.00446039i
\(355\) 2.03257 20.4277i 0.107878 1.08419i
\(356\) −20.8330 + 58.4637i −1.10415 + 3.09857i
\(357\) 1.01124 + 1.76018i 0.0535206 + 0.0931586i
\(358\) 21.1056 + 21.7222i 1.11546 + 1.14805i
\(359\) −8.33409 4.33751i −0.439857 0.228925i 0.227327 0.973818i \(-0.427001\pi\)
−0.667184 + 0.744893i \(0.732500\pi\)
\(360\) −25.6312 16.1788i −1.35088 0.852696i
\(361\) 7.32418 26.9317i 0.385483 1.41746i
\(362\) 29.6105 + 4.19584i 1.55629 + 0.220528i
\(363\) −10.4304 + 7.76323i −0.547455 + 0.407464i
\(364\) 0.459288 0.171991i 0.0240732 0.00901475i
\(365\) 0.657400 + 0.250986i 0.0344099 + 0.0131372i
\(366\) −5.08092 0.162603i −0.265584 0.00849939i
\(367\) −3.05885 + 27.2039i −0.159671 + 1.42003i 0.615427 + 0.788194i \(0.288983\pi\)
−0.775098 + 0.631841i \(0.782300\pi\)
\(368\) 3.61175 + 1.45894i 0.188275 + 0.0760526i
\(369\) 7.32541 14.8795i 0.381346 0.774594i
\(370\) 33.1849 26.0449i 1.72520 1.35401i
\(371\) −1.68125 + 5.12965i −0.0872861 + 0.266318i
\(372\) 0.120347 + 0.189315i 0.00623970 + 0.00981553i
\(373\) −1.13223 27.2084i −0.0586246 1.40880i −0.737899 0.674911i \(-0.764182\pi\)
0.679274 0.733884i \(-0.262295\pi\)
\(374\) −1.25366 + 43.5291i −0.0648254 + 2.25084i
\(375\) 9.99538 8.37502i 0.516159 0.432484i
\(376\) −16.4868 + 13.2839i −0.850242 + 0.685066i
\(377\) 2.20057 + 0.240309i 0.113335 + 0.0123765i
\(378\) −4.39723 5.08064i −0.226169 0.261320i
\(379\) −33.7885 + 10.4788i −1.73560 + 0.538259i −0.991534 0.129846i \(-0.958552\pi\)
−0.744067 + 0.668105i \(0.767106\pi\)
\(380\) 87.3827 28.3306i 4.48264 1.45333i
\(381\) −0.594074 4.99535i −0.0304354 0.255919i
\(382\) −14.8512 14.1551i −0.759856 0.724240i
\(383\) 8.89380 16.6953i 0.454452 0.853090i −0.545436 0.838152i \(-0.683636\pi\)
0.999888 0.0149377i \(-0.00475499\pi\)
\(384\) 6.89389 17.8851i 0.351803 0.912693i
\(385\) −5.24722 + 9.69991i −0.267423 + 0.494353i
\(386\) −23.5438 12.4456i −1.19835 0.633463i
\(387\) −10.2939 24.7957i −0.523270 1.26043i
\(388\) −23.1243 + 15.6526i −1.17396 + 0.794640i
\(389\) 21.7801 7.99752i 1.10429 0.405490i 0.273389 0.961904i \(-0.411855\pi\)
0.830906 + 0.556413i \(0.187823\pi\)
\(390\) −1.21257 1.41928i −0.0614010 0.0718681i
\(391\) 3.90377 6.79495i 0.197422 0.343636i
\(392\) 24.6134 6.27268i 1.24317 0.316818i
\(393\) 0.956578 1.44284i 0.0482530 0.0727814i
\(394\) −3.48064 57.1915i −0.175352 2.88127i
\(395\) −2.89140 6.16911i −0.145482 0.310401i
\(396\) −6.26895 38.0810i −0.315027 1.91364i
\(397\) 1.51920 + 22.5789i 0.0762464 + 1.13320i 0.859376 + 0.511344i \(0.170852\pi\)
−0.783130 + 0.621858i \(0.786378\pi\)
\(398\) 2.86820 3.58315i 0.143770 0.179607i
\(399\) 3.78091 0.0725838i 0.189282 0.00363373i
\(400\) 12.4955 + 10.0680i 0.624775 + 0.503400i
\(401\) 26.0569 + 26.1404i 1.30122 + 1.30539i 0.925544 + 0.378640i \(0.123608\pi\)
0.375677 + 0.926751i \(0.377410\pi\)
\(402\) −2.88097 22.9707i −0.143690 1.14568i
\(403\) −0.00400588 0.0147300i −0.000199547 0.000733755i
\(404\) 18.0333 58.8122i 0.897189 2.92602i
\(405\) 3.57126 6.40454i 0.177457 0.318244i
\(406\) −13.3210 2.94451i −0.661112 0.146134i
\(407\) 23.5959 + 4.27311i 1.16961 + 0.211810i
\(408\) 11.4219 + 6.32117i 0.565467 + 0.312944i
\(409\) 15.5423 17.2763i 0.768518 0.854258i −0.224222 0.974538i \(-0.571984\pi\)
0.992740 + 0.120280i \(0.0383793\pi\)
\(410\) −36.9911 + 57.3756i −1.82686 + 2.83358i
\(411\) 0.0422447 13.2048i 0.00208378 0.651345i
\(412\) 18.2598 29.5528i 0.899598 1.45596i
\(413\) 0.0178101 + 0.0324260i 0.000876378 + 0.00159558i
\(414\) −3.49136 + 10.2091i −0.171591 + 0.501752i
\(415\) 11.2158 + 38.3213i 0.550564 + 1.88112i
\(416\) −0.469150 + 0.593843i −0.0230020 + 0.0291155i
\(417\) 8.06214 + 5.23439i 0.394805 + 0.256329i
\(418\) 69.9497 + 41.0847i 3.42135 + 2.00952i
\(419\) −1.35098 1.14676i −0.0659996 0.0560229i 0.613528 0.789673i \(-0.289750\pi\)
−0.679527 + 0.733650i \(0.737815\pi\)
\(420\) 4.17061 + 6.11916i 0.203505 + 0.298585i
\(421\) 15.6347 + 1.60619i 0.761987 + 0.0782811i 0.475396 0.879772i \(-0.342305\pi\)
0.286591 + 0.958053i \(0.407478\pi\)
\(422\) −47.0926 + 7.59779i −2.29243 + 0.369855i
\(423\) −7.91767 8.80101i −0.384970 0.427920i
\(424\) 7.81740 + 33.8225i 0.379646 + 1.64256i
\(425\) 23.5107 22.1233i 1.14043 1.07314i
\(426\) −1.82351 12.0360i −0.0883492 0.583145i
\(427\) −1.24068 0.586342i −0.0600407 0.0283751i
\(428\) −42.8796 37.3524i −2.07267 1.80550i
\(429\) 0.145514 1.05110i 0.00702547 0.0507477i
\(430\) 30.3622 + 106.256i 1.46420 + 5.12413i
\(431\) 4.09739 20.7289i 0.197364 0.998477i −0.745805 0.666164i \(-0.767935\pi\)
0.943169 0.332312i \(-0.107829\pi\)
\(432\) −8.29722 2.69006i −0.399200 0.129426i
\(433\) −28.4644 0.364271i −1.36791 0.0175058i −0.674622 0.738163i \(-0.735693\pi\)
−0.693291 + 0.720657i \(0.743840\pi\)
\(434\) 0.0146872 + 0.0929239i 0.000705009 + 0.00446049i
\(435\) 4.37165 + 33.1377i 0.209605 + 1.58883i
\(436\) 1.08858 19.9961i 0.0521336 0.957640i
\(437\) −7.59378 12.4679i −0.363260 0.596420i
\(438\) 0.414515 + 0.0479521i 0.0198063 + 0.00229124i
\(439\) −10.7649 4.18900i −0.513781 0.199930i 0.0917043 0.995786i \(-0.470769\pi\)
−0.605486 + 0.795856i \(0.707021\pi\)
\(440\) 3.40197 + 70.8382i 0.162183 + 3.37708i
\(441\) 4.25021 + 13.5513i 0.202391 + 0.645300i
\(442\) −1.37743 1.43595i −0.0655179 0.0683010i
\(443\) 11.4742 29.2097i 0.545156 1.38779i −0.347766 0.937581i \(-0.613060\pi\)
0.892922 0.450211i \(-0.148651\pi\)
\(444\) 9.81930 12.7615i 0.466003 0.605634i
\(445\) 58.6588 + 25.0149i 2.78069 + 1.18582i
\(446\) 2.54236 3.62950i 0.120384 0.171862i
\(447\) −4.79598 18.0916i −0.226842 0.855706i
\(448\) 4.79503 4.87235i 0.226544 0.230197i
\(449\) 27.3628 + 4.23519i 1.29133 + 0.199871i 0.761462 0.648209i \(-0.224482\pi\)
0.529868 + 0.848080i \(0.322242\pi\)
\(450\) −25.9649 + 36.0763i −1.22400 + 1.70065i
\(451\) −38.3488 + 5.93559i −1.80577 + 0.279496i
\(452\) −21.1828 + 41.6724i −0.996356 + 1.96011i
\(453\) −11.8347 + 1.98715i −0.556041 + 0.0933644i
\(454\) 57.5258 + 12.3301i 2.69982 + 0.578680i
\(455\) −0.147723 0.481771i −0.00692536 0.0225858i
\(456\) 20.5645 12.9806i 0.963022 0.607873i
\(457\) 24.4624 2.03945i 1.14430 0.0954015i 0.504126 0.863630i \(-0.331815\pi\)
0.640175 + 0.768229i \(0.278862\pi\)
\(458\) −52.1300 + 31.0687i −2.43588 + 1.45175i
\(459\) −7.64975 + 15.7925i −0.357060 + 0.737129i
\(460\) 12.2974 25.8069i 0.573371 1.20325i
\(461\) −6.21081 15.5182i −0.289266 0.722755i −0.999817 0.0191094i \(-0.993917\pi\)
0.710551 0.703645i \(-0.248446\pi\)
\(462\) −1.59472 + 6.34225i −0.0741929 + 0.295068i
\(463\) −19.4287 17.3665i −0.902928 0.807092i 0.0788963 0.996883i \(-0.474860\pi\)
−0.981824 + 0.189791i \(0.939219\pi\)
\(464\) −16.7751 + 5.67694i −0.778767 + 0.263545i
\(465\) 0.201669 0.111609i 0.00935218 0.00517574i
\(466\) −5.46807 + 23.6580i −0.253304 + 1.09593i
\(467\) 8.22597 + 14.1085i 0.380653 + 0.652863i 0.990163 0.139915i \(-0.0446830\pi\)
−0.609511 + 0.792778i \(0.708634\pi\)
\(468\) 1.44111 + 1.01634i 0.0666152 + 0.0469805i
\(469\) 1.75541 5.99773i 0.0810574 0.276950i
\(470\) 28.2116 + 39.7316i 1.30130 + 1.83268i
\(471\) −2.75867 + 11.5969i −0.127113 + 0.534355i
\(472\) 0.205907 + 0.119173i 0.00947763 + 0.00548539i
\(473\) −33.7002 + 53.0130i −1.54954 + 2.43754i
\(474\) −2.56490 3.12151i −0.117810 0.143376i
\(475\) −15.0380 58.2287i −0.689990 2.67171i
\(476\) 4.81357 + 6.25588i 0.220630 + 0.286738i
\(477\) −18.6459 + 5.39255i −0.853735 + 0.246908i
\(478\) 28.5434 + 10.6887i 1.30554 + 0.488890i
\(479\) −5.04205 4.44918i −0.230377 0.203288i 0.538605 0.842558i \(-0.318951\pi\)
−0.768982 + 0.639270i \(0.779237\pi\)
\(480\) −10.3932 4.75009i −0.474385 0.216811i
\(481\) −0.895417 + 0.631495i −0.0408275 + 0.0287937i
\(482\) −7.40550 21.6546i −0.337311 0.986338i
\(483\) 0.792670 0.869846i 0.0360677 0.0395794i
\(484\) −36.1484 + 35.3478i −1.64311 + 1.60672i
\(485\) 14.6097 + 24.6928i 0.663390 + 1.12124i
\(486\) 9.80664 36.9931i 0.444838 1.67804i
\(487\) 19.3124 + 22.8997i 0.875129 + 1.03768i 0.998970 + 0.0453810i \(0.0144502\pi\)
−0.123841 + 0.992302i \(0.539521\pi\)
\(488\) −8.77845 + 0.901835i −0.397382 + 0.0408241i
\(489\) −8.29264 + 2.22675i −0.375006 + 0.100697i
\(490\) −10.9688 57.4204i −0.495518 2.59399i
\(491\) 6.58485 19.6649i 0.297170 0.887466i −0.689436 0.724346i \(-0.742142\pi\)
0.986606 0.163120i \(-0.0521557\pi\)
\(492\) −8.27379 + 24.7088i −0.373011 + 1.11396i
\(493\) 6.68502 + 34.9955i 0.301078 + 1.57612i
\(494\) −3.57991 + 0.961281i −0.161068 + 0.0432501i
\(495\) −39.4464 + 4.05244i −1.77298 + 0.182143i
\(496\) 0.0787321 + 0.0933565i 0.00353517 + 0.00419183i
\(497\) 0.842038 3.17638i 0.0377706 0.142480i
\(498\) 12.0568 + 20.3780i 0.540278 + 0.913160i
\(499\) −8.92789 + 8.73017i −0.399667 + 0.390816i −0.871116 0.491078i \(-0.836603\pi\)
0.471448 + 0.881894i \(0.343731\pi\)
\(500\) 34.1534 37.4787i 1.52739 1.67610i
\(501\) −0.711731 2.08119i −0.0317978 0.0929805i
\(502\) 17.8804 12.6102i 0.798043 0.562821i
\(503\) 8.27552 + 3.78221i 0.368987 + 0.168640i 0.591531 0.806282i \(-0.298524\pi\)
−0.222544 + 0.974923i \(0.571436\pi\)
\(504\) −3.63801 3.21024i −0.162050 0.142995i
\(505\) −59.1910 22.1654i −2.63396 0.986347i
\(506\) 24.2517 7.01381i 1.07812 0.311802i
\(507\) −7.33645 9.53471i −0.325823 0.423451i
\(508\) −4.89126 18.9395i −0.217015 0.840304i
\(509\) −0.822066 1.00047i −0.0364374 0.0443449i 0.754093 0.656768i \(-0.228077\pi\)
−0.790530 + 0.612423i \(0.790195\pi\)
\(510\) 16.1182 25.3552i 0.713727 1.12275i
\(511\) 0.0974901 + 0.0564246i 0.00431271 + 0.00249608i
\(512\) 4.63353 19.4784i 0.204775 0.860832i
\(513\) 18.9254 + 26.6535i 0.835576 + 1.17678i
\(514\) −8.10927 + 27.7070i −0.357684 + 1.22210i
\(515\) −29.1690 20.5715i −1.28534 0.906488i
\(516\) 21.2462 + 36.4397i 0.935314 + 1.60417i
\(517\) −6.23773 + 26.9879i −0.274335 + 1.18693i
\(518\) 5.90828 3.26980i 0.259595 0.143667i
\(519\) −3.38848 + 1.14671i −0.148738 + 0.0503349i
\(520\) −2.41603 2.15959i −0.105950 0.0947042i
\(521\) −0.201771 + 0.802449i −0.00883973 + 0.0351559i −0.974073 0.226235i \(-0.927358\pi\)
0.965233 + 0.261391i \(0.0841811\pi\)
\(522\) −18.2273 45.5423i −0.797786 1.99333i
\(523\) −13.7472 + 28.8493i −0.601124 + 1.26149i 0.345278 + 0.938501i \(0.387785\pi\)
−0.946401 + 0.322993i \(0.895311\pi\)
\(524\) 2.93448 6.05806i 0.128193 0.264648i
\(525\) 4.16455 2.48201i 0.181756 0.108324i
\(526\) 7.35719 0.613376i 0.320789 0.0267445i
\(527\) 0.207760 0.131141i 0.00905017 0.00571260i
\(528\) 2.48866 + 8.11629i 0.108305 + 0.353216i
\(529\) 18.0470 + 3.86821i 0.784654 + 0.168183i
\(530\) 78.7918 13.2299i 3.42250 0.574668i
\(531\) −0.0602774 + 0.118582i −0.00261581 + 0.00514603i
\(532\) 14.5315 2.24917i 0.630019 0.0975137i
\(533\) 1.03578 1.43914i 0.0448647 0.0623362i
\(534\) 37.3702 + 5.78413i 1.61717 + 0.250304i
\(535\) −40.9842 + 41.6451i −1.77190 + 1.80047i
\(536\) −10.2979 38.8463i −0.444802 1.67790i
\(537\) 6.81475 9.72879i 0.294078 0.419828i
\(538\) 28.1944 + 12.0235i 1.21555 + 0.518368i
\(539\) 20.2644 26.3364i 0.872851 1.13439i
\(540\) −23.4047 + 59.5808i −1.00718 + 2.56395i
\(541\) 16.0372 + 16.7184i 0.689493 + 0.718782i 0.970548 0.240910i \(-0.0774457\pi\)
−0.281054 + 0.959692i \(0.590684\pi\)
\(542\) −3.21432 10.2485i −0.138067 0.440210i
\(543\) −0.562625 11.7154i −0.0241446 0.502755i
\(544\) −11.3514 4.41723i −0.486689 0.189387i
\(545\) −20.4396 2.36451i −0.875538 0.101284i
\(546\) −0.155437 0.255206i −0.00665210 0.0109218i
\(547\) 1.31811 24.2122i 0.0563582 1.03524i −0.825703 0.564105i \(-0.809221\pi\)
0.882061 0.471135i \(-0.156156\pi\)
\(548\) −6.71559 50.9051i −0.286876 2.17456i
\(549\) −0.770319 4.87369i −0.0328764 0.208004i
\(550\) 103.992 + 1.33083i 4.43424 + 0.0567468i
\(551\) 63.1356 + 20.4694i 2.68967 + 0.872024i
\(552\) 1.46754 7.42434i 0.0624625 0.316001i
\(553\) −0.299640 1.04863i −0.0127420 0.0445922i
\(554\) 0.600370 4.33671i 0.0255073 0.184249i
\(555\) −12.4750 10.8670i −0.529536 0.461278i
\(556\) 33.7930 + 15.9705i 1.43314 + 0.677301i
\(557\) 3.33709 + 22.0263i 0.141397 + 0.933283i 0.942368 + 0.334579i \(0.108594\pi\)
−0.800971 + 0.598704i \(0.795683\pi\)
\(558\) −0.246353 + 0.231816i −0.0104290 + 0.00981355i
\(559\) −0.646378 2.79659i −0.0273389 0.118283i
\(560\) 2.69625 + 2.99706i 0.113937 + 0.126649i
\(561\) 16.8606 2.72024i 0.711855 0.114849i
\(562\) 18.0398 + 1.85328i 0.760964 + 0.0781760i
\(563\) 6.01518 + 8.82554i 0.253510 + 0.371952i 0.931879 0.362769i \(-0.118169\pi\)
−0.678370 + 0.734721i \(0.737313\pi\)
\(564\) 14.1800 + 12.0365i 0.597086 + 0.506829i
\(565\) 41.4162 + 24.3257i 1.74239 + 1.02339i
\(566\) 5.50379 + 3.57337i 0.231342 + 0.150200i
\(567\) 0.727659 0.921060i 0.0305588 0.0386809i
\(568\) −5.93590 20.2813i −0.249065 0.850983i
\(569\) −2.81361 + 8.22732i −0.117953 + 0.344907i −0.989327 0.145711i \(-0.953453\pi\)
0.871375 + 0.490618i \(0.163229\pi\)
\(570\) −26.9447 49.0568i −1.12859 2.05476i
\(571\) 11.6322 18.8262i 0.486793 0.787853i −0.510615 0.859810i \(-0.670582\pi\)
0.997408 + 0.0719568i \(0.0229244\pi\)
\(572\) 0.0132001 4.12609i 0.000551926 0.172521i
\(573\) −4.36000 + 6.76266i −0.182142 + 0.282514i
\(574\) −7.30858 + 8.12397i −0.305054 + 0.339088i
\(575\) −16.3750 9.06234i −0.682884 0.377926i
\(576\) 24.1870 + 4.38016i 1.00779 + 0.182507i
\(577\) −11.1294 2.46006i −0.463322 0.102414i −0.0219913 0.999758i \(-0.507001\pi\)
−0.441331 + 0.897344i \(0.645493\pi\)
\(578\) −4.01815 + 7.20598i −0.167133 + 0.299729i
\(579\) −3.06178 + 9.98543i −0.127243 + 0.414980i
\(580\) 34.1070 + 125.415i 1.41622 + 5.20757i
\(581\) 0.795397 + 6.34190i 0.0329986 + 0.263106i
\(582\) 12.0112 + 12.0497i 0.497879 + 0.499475i
\(583\) 35.3644 + 28.4942i 1.46465 + 1.18011i
\(584\) 0.724236 0.0139035i 0.0299691 0.000575329i
\(585\) 1.13229 1.41453i 0.0468144 0.0584838i
\(586\) −2.28088 33.8993i −0.0942222 1.40037i
\(587\) 6.45379 + 39.2038i 0.266376 + 1.61811i 0.698025 + 0.716073i \(0.254062\pi\)
−0.431649 + 0.902042i \(0.642068\pi\)
\(588\) −9.46966 20.2045i −0.390522 0.833221i
\(589\) −0.0278030 0.456839i −0.00114560 0.0188237i
\(590\) 0.302559 0.456359i 0.0124562 0.0187880i
\(591\) −21.7753 + 5.54938i −0.895715 + 0.228271i
\(592\) 4.36672 7.60077i 0.179471 0.312390i
\(593\) −26.7053 31.2578i −1.09666 1.28360i −0.955943 0.293553i \(-0.905162\pi\)
−0.140713 0.990050i \(-0.544939\pi\)
\(594\) −53.0660 + 19.4855i −2.17732 + 0.799500i
\(595\) 6.71634 4.54623i 0.275343 0.186377i
\(596\) −27.9046 67.2157i −1.14302 2.75326i
\(597\) −1.59137 0.841219i −0.0651305 0.0344288i
\(598\) −0.548853 + 1.01460i −0.0224443 + 0.0414901i
\(599\) 2.48149 6.43781i 0.101391 0.263042i −0.873072 0.487592i \(-0.837875\pi\)
0.974463 + 0.224550i \(0.0720913\pi\)
\(600\) 14.6582 27.5161i 0.598417 1.12334i
\(601\) −21.9701 20.9403i −0.896180 0.854174i 0.0937698 0.995594i \(-0.470108\pi\)
−0.989950 + 0.141420i \(0.954833\pi\)
\(602\) 2.08903 + 17.5658i 0.0851424 + 0.715930i
\(603\) 21.3753 6.93014i 0.870470 0.282217i
\(604\) −44.5683 + 13.8219i −1.81346 + 0.562405i
\(605\) 33.9958 + 39.2793i 1.38212 + 1.59693i
\(606\) −37.2587 4.06877i −1.51353 0.165282i
\(607\) −13.6501 + 10.9983i −0.554040 + 0.446408i −0.863387 0.504542i \(-0.831661\pi\)
0.309347 + 0.950949i \(0.399890\pi\)
\(608\) −17.3926 + 14.5731i −0.705364 + 0.591016i
\(609\) −0.154032 + 5.34823i −0.00624169 + 0.216721i
\(610\) 0.844435 + 20.2924i 0.0341902 + 0.821616i
\(611\) −0.678997 1.06811i −0.0274693 0.0432113i
\(612\) −8.83968 + 26.9707i −0.357323 + 1.09022i
\(613\) 22.6728 17.7945i 0.915744 0.718714i −0.0441650 0.999024i \(-0.514063\pi\)
0.959909 + 0.280311i \(0.0904375\pi\)
\(614\) 13.8382 28.1083i 0.558464 1.13436i
\(615\) 24.8244 + 10.0277i 1.00102 + 0.404354i
\(616\) −1.26849 + 11.2813i −0.0511090 + 0.454538i
\(617\) −2.55809 0.0818656i −0.102985 0.00329579i −0.0195485 0.999809i \(-0.506223\pi\)
−0.0834362 + 0.996513i \(0.526589\pi\)
\(618\) −19.7738 7.54936i −0.795420 0.303680i
\(619\) −6.65294 + 2.49134i −0.267404 + 0.100135i −0.480800 0.876830i \(-0.659654\pi\)
0.213396 + 0.976966i \(0.431548\pi\)
\(620\) 0.718969 0.535121i 0.0288745 0.0214910i
\(621\) 10.0723 + 1.42725i 0.404186 + 0.0572736i
\(622\) −6.97808 + 25.6591i −0.279796 + 1.02884i
\(623\) 8.63210 + 5.44870i 0.345838 + 0.218298i
\(624\) −0.344086 0.179081i −0.0137744 0.00716897i
\(625\) −5.71155 5.87841i −0.228462 0.235137i
\(626\) −17.8514 31.0725i −0.713487 1.24191i
\(627\) 10.6793 29.9695i 0.426491 1.19686i
\(628\) −4.58939 + 46.1240i −0.183136 + 1.84055i
\(629\) −13.9420 10.7988i −0.555905 0.430578i
\(630\) −7.88337 + 7.90863i −0.314081 + 0.315087i
\(631\) 29.2502 3.19421i 1.16443 0.127160i 0.494225 0.869334i \(-0.335452\pi\)
0.670207 + 0.742174i \(0.266205\pi\)
\(632\) −5.13826 4.77344i −0.204389 0.189877i
\(633\) 6.39224 + 17.5820i 0.254069 + 0.698821i
\(634\) 7.26995 50.1494i 0.288727 1.99169i
\(635\) −19.7292 + 3.83425i −0.782931 + 0.152157i
\(636\) 27.8962 12.3205i 1.10616 0.488540i
\(637\) 0.208218 + 1.50404i 0.00824989 + 0.0595922i
\(638\) −62.8097 + 96.0668i −2.48666 + 3.80332i
\(639\) 11.1428 3.93051i 0.440804 0.155489i
\(640\) −73.2870 22.2154i −2.89692 0.878139i
\(641\) 7.00065 3.19955i 0.276509 0.126375i −0.272594 0.962129i \(-0.587882\pi\)
0.549104 + 0.835754i \(0.314969\pi\)
\(642\) −17.4520 + 29.9322i −0.688777 + 1.18133i
\(643\) 25.2815 + 23.7897i 0.997006 + 0.938174i 0.998087 0.0618256i \(-0.0196923\pi\)
−0.00108069 + 0.999999i \(0.500344\pi\)
\(644\) 2.60135 3.76474i 0.102508 0.148352i
\(645\) 38.6979 19.5153i 1.52373 0.768413i
\(646\) −31.6828 50.5510i −1.24654 1.98890i
\(647\) −17.9736 + 13.9215i −0.706614 + 0.547310i −0.901108 0.433594i \(-0.857245\pi\)
0.194495 + 0.980904i \(0.437693\pi\)
\(648\) 0.939372 7.48984i 0.0369020 0.294229i
\(649\) 0.308168 0.0436678i 0.0120967 0.00171411i
\(650\) −3.37632 + 3.34407i −0.132430 + 0.131165i
\(651\) 0.0347155 0.0124958i 0.00136061 0.000489750i
\(652\) −30.7948 + 12.9001i −1.20602 + 0.505208i
\(653\) −0.0361045 + 0.416943i −0.00141288 + 0.0163163i −0.996945 0.0781094i \(-0.975112\pi\)
0.995532 + 0.0944257i \(0.0301015\pi\)
\(654\) −12.0914 + 1.63452i −0.472813 + 0.0639148i
\(655\) −6.02986 3.38766i −0.235606 0.132367i
\(656\) −2.66165 + 13.9335i −0.103920 + 0.544011i
\(657\) 0.0297751 + 0.403926i 0.00116164 + 0.0157587i
\(658\) 3.44528 + 6.99810i 0.134311 + 0.272814i
\(659\) 9.79494 + 4.70597i 0.381557 + 0.183318i 0.614027 0.789285i \(-0.289549\pi\)
−0.232471 + 0.972603i \(0.574681\pi\)
\(660\) 60.5642 14.6119i 2.35746 0.568768i
\(661\) 15.5024 + 20.6899i 0.602973 + 0.804745i 0.993255 0.115950i \(-0.0369912\pi\)
−0.390282 + 0.920695i \(0.627623\pi\)
\(662\) −49.9923 57.0207i −1.94301 2.21617i
\(663\) −0.451796 + 0.636285i −0.0175463 + 0.0247113i
\(664\) 25.4800 + 32.2522i 0.988817 + 1.25163i
\(665\) −1.39970 15.0435i −0.0542781 0.583364i
\(666\) 21.6799 + 10.9331i 0.840079 + 0.423650i
\(667\) 18.1354 9.88557i 0.702206 0.382771i
\(668\) −3.82665 7.64885i −0.148058 0.295943i
\(669\) −1.58525 0.712289i −0.0612892 0.0275387i
\(670\) −90.6796 + 18.2258i −3.50326 + 0.704126i
\(671\) −8.30593 + 8.01867i −0.320647 + 0.309557i
\(672\) −1.52134 1.01565i −0.0586870 0.0391795i
\(673\) −0.515100 1.57162i −0.0198556 0.0605814i 0.939852 0.341582i \(-0.110963\pi\)
−0.959707 + 0.281001i \(0.909334\pi\)
\(674\) −45.4429 + 55.3046i −1.75039 + 2.13025i
\(675\) 38.0034 + 17.6638i 1.46275 + 0.679879i
\(676\) −33.2367 32.9193i −1.27834 1.26613i
\(677\) −27.6580 20.5856i −1.06299 0.791167i −0.0842807 0.996442i \(-0.526859\pi\)
−0.978704 + 0.205275i \(0.934191\pi\)
\(678\) 27.3612 + 7.91311i 1.05080 + 0.303901i
\(679\) 1.67920 + 4.27470i 0.0644418 + 0.164048i
\(680\) 21.8317 47.3665i 0.837206 1.81642i
\(681\) 0.516666 23.0675i 0.0197987 0.883948i
\(682\) 0.774958 + 0.160926i 0.0296747 + 0.00616216i
\(683\) −1.41737 1.49663i −0.0542340 0.0572668i 0.698390 0.715718i \(-0.253900\pi\)
−0.752624 + 0.658451i \(0.771212\pi\)
\(684\) 36.1099 + 38.6212i 1.38070 + 1.47672i
\(685\) −52.6263 + 3.71007i −2.01075 + 0.141754i
\(686\) −0.553103 19.2046i −0.0211176 0.733234i
\(687\) 15.8044 + 17.7954i 0.602977 + 0.678935i
\(688\) 14.1196 + 18.1093i 0.538303 + 0.690412i
\(689\) −2.06141 + 0.238469i −0.0785335 + 0.00908494i
\(690\) −16.8504 4.40930i −0.641485 0.167859i
\(691\) 3.55746 11.3425i 0.135332 0.431490i −0.861793 0.507259i \(-0.830659\pi\)
0.997125 + 0.0757693i \(0.0241413\pi\)
\(692\) −12.4598 + 6.18376i −0.473649 + 0.235071i
\(693\) −6.33705 0.365324i −0.240725 0.0138775i
\(694\) 11.8701 + 13.0258i 0.450581 + 0.494451i
\(695\) 18.4883 33.6606i 0.701299 1.27682i
\(696\) 16.9489 + 29.9434i 0.642447 + 1.13500i
\(697\) 27.0322 + 9.14806i 1.02392 + 0.346507i
\(698\) −36.2134 + 6.55808i −1.37070 + 0.248227i
\(699\) 9.51594 + 0.365498i 0.359926 + 0.0138244i
\(700\) 14.7547 11.7334i 0.557675 0.443482i
\(701\) −15.3113 + 9.25860i −0.578301 + 0.349692i −0.776158 0.630539i \(-0.782834\pi\)
0.197857 + 0.980231i \(0.436602\pi\)
\(702\) 1.06619 2.35272i 0.0402408 0.0887976i
\(703\) −30.1358 + 13.0799i −1.13659 + 0.493316i
\(704\) −24.0743 52.2322i −0.907334 1.96857i
\(705\) 13.2295 13.7914i 0.498251 0.519416i
\(706\) −35.7857 17.7604i −1.34681 0.668420i
\(707\) −8.78885 5.01195i −0.330539 0.188494i
\(708\) 0.0688923 0.197317i 0.00258913 0.00741561i
\(709\) 2.88134 + 0.559969i 0.108211 + 0.0210301i 0.244590 0.969627i \(-0.421347\pi\)
−0.136379 + 0.990657i \(0.543546\pi\)
\(710\) −47.4211 + 10.8008i −1.77968 + 0.405346i
\(711\) 2.50889 3.01383i 0.0940907 0.113028i
\(712\) 65.6326 + 1.25998i 2.45968 + 0.0472196i
\(713\) −0.109174 0.0914760i −0.00408861 0.00342580i
\(714\) 3.19363 3.59594i 0.119519 0.134575i
\(715\) −4.23081 0.271072i −0.158223 0.0101375i
\(716\) 21.1921 41.0385i 0.791985 1.53368i
\(717\) 2.01709 11.7821i 0.0753297 0.440009i
\(718\) −3.47504 + 21.9860i −0.129687 + 0.820512i
\(719\) −32.4446 0.830549i −1.20998 0.0309743i −0.584617 0.811309i \(-0.698755\pi\)
−0.625362 + 0.780335i \(0.715049\pi\)
\(720\) −3.44478 + 14.0804i −0.128379 + 0.524744i
\(721\) −4.08509 3.99462i −0.152137 0.148767i
\(722\) −66.0136 + 3.80561i −2.45677 + 0.141630i
\(723\) −7.79685 + 4.44625i −0.289968 + 0.165358i
\(724\) −8.27053 44.8507i −0.307372 1.66686i
\(725\) 83.3112 17.3002i 3.09410 0.642513i
\(726\) 25.2871 + 17.5926i 0.938491 + 0.652921i
\(727\) −19.1763 11.9335i −0.711210 0.442588i 0.124170 0.992261i \(-0.460373\pi\)
−0.835380 + 0.549673i \(0.814752\pi\)
\(728\) −0.326745 0.402881i −0.0121100 0.0149317i
\(729\) −9.06080 0.638772i −0.335585 0.0236582i
\(730\) 0.0693152 1.66570i 0.00256547 0.0616503i
\(731\) 39.9833 23.1413i 1.47884 0.855911i
\(732\) 2.22515 + 7.42610i 0.0822438 + 0.274477i
\(733\) 6.95480 + 12.4724i 0.256881 + 0.460680i 0.970913 0.239433i \(-0.0769616\pi\)
−0.714032 + 0.700113i \(0.753133\pi\)
\(734\) 63.4165 13.5927i 2.34074 0.501716i
\(735\) −21.3124 + 8.45080i −0.786120 + 0.311712i
\(736\) −0.428961 + 7.04840i −0.0158117 + 0.259808i
\(737\) −41.9751 31.6609i −1.54617 1.16625i
\(738\) −38.9383 5.26368i −1.43334 0.193759i
\(739\) 7.96318 35.4866i 0.292930 1.30539i −0.578825 0.815452i \(-0.696488\pi\)
0.871755 0.489942i \(-0.162982\pi\)
\(740\) −53.7316 35.3763i −1.97521 1.30046i
\(741\) 0.633742 + 1.30832i 0.0232811 + 0.0480624i
\(742\) 12.7888 0.0818286i 0.469493 0.00300402i
\(743\) 11.0947 11.8663i 0.407026 0.435333i −0.493758 0.869599i \(-0.664377\pi\)
0.900784 + 0.434266i \(0.142992\pi\)
\(744\) 0.149456 0.184281i 0.00547932 0.00675608i
\(745\) −70.6767 + 24.4231i −2.58939 + 0.894792i
\(746\) −60.2736 + 23.0116i −2.20677 + 0.842514i
\(747\) −17.2323 + 15.2061i −0.630498 + 0.556361i
\(748\) 63.5533 19.2648i 2.32374 0.704391i
\(749\) −7.53854 + 5.53625i −0.275452 + 0.202290i
\(750\) −26.3342 16.1550i −0.961589 0.589898i
\(751\) 0.0734366 + 22.9548i 0.00267974 + 0.837631i 0.909406 + 0.415910i \(0.136537\pi\)
−0.906726 + 0.421721i \(0.861426\pi\)
\(752\) 8.52774 + 5.45944i 0.310975 + 0.199085i
\(753\) −6.17350 5.95998i −0.224975 0.217194i
\(754\) −1.11554 5.12449i −0.0406257 0.186623i
\(755\) 11.3937 + 46.5710i 0.414658 + 1.69489i
\(756\) −5.21774 + 8.81885i −0.189767 + 0.320739i
\(757\) −8.88245 9.02568i −0.322838 0.328044i 0.532191 0.846625i \(-0.321369\pi\)
−0.855029 + 0.518581i \(0.826461\pi\)
\(758\) 48.9593 + 68.0253i 1.77828 + 2.47079i
\(759\) −4.48648 8.82615i −0.162849 0.320369i
\(760\) −57.7607 78.1258i −2.09520 2.83392i
\(761\) 22.2924 + 33.1616i 0.808098 + 1.20211i 0.976315 + 0.216356i \(0.0694171\pi\)
−0.168217 + 0.985750i \(0.553801\pi\)
\(762\) −10.7755 + 5.09246i −0.390354 + 0.184480i
\(763\) −3.16980 0.894798i −0.114755 0.0323939i
\(764\) −13.2781 + 28.3302i −0.480384 + 1.02495i
\(765\) 27.1088 + 10.7492i 0.980121 + 0.388638i
\(766\) −44.1976 7.42117i −1.59692 0.268138i
\(767\) −0.00845474 + 0.0114357i −0.000305283 + 0.000412919i
\(768\) −24.0092 1.07606i −0.866358 0.0388288i
\(769\) −7.39239 + 4.34189i −0.266576 + 0.156573i −0.633652 0.773619i \(-0.718445\pi\)
0.367075 + 0.930191i \(0.380359\pi\)