Properties

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

$q$-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 \(\left(\mathbb{Z}/983\mathbb{Z}\right)^\times\).

\(n\) \(5\)
\(\chi(n)\) \(e\left(\frac{337}{491}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.752267 + 2.24656i −0.531933 + 1.58856i 0.252008 + 0.967725i \(0.418909\pi\)
−0.783941 + 0.620835i \(0.786794\pi\)
\(3\) −0.810068 0.455108i −0.467693 0.262757i 0.238012 0.971262i \(-0.423504\pi\)
−0.705705 + 0.708506i \(0.749370\pi\)
\(4\) −2.88443 2.17566i −1.44221 1.08783i
\(5\) 2.05128 3.09401i 0.917360 1.38368i −0.00609754 0.999981i \(-0.501941\pi\)
0.923458 0.383700i \(-0.125350\pi\)
\(6\) 1.63182 1.47751i 0.666186 0.603189i
\(7\) 0.245279 0.541247i 0.0927069 0.204572i −0.858721 0.512443i \(-0.828741\pi\)
0.951428 + 0.307871i \(0.0996164\pi\)
\(8\) 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 0.794165 0.607702i \(-0.207909\pi\)
0.710118 + 0.704083i \(0.248642\pi\)
\(12\) 1.34642 + 3.07516i 0.388678 + 0.887722i
\(13\) −0.149493 0.172727i −0.0414618 0.0479058i 0.735020 0.678045i \(-0.237173\pi\)
−0.776482 + 0.630140i \(0.782998\pi\)
\(14\) 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 −0.769478 0.638674i \(-0.779483\pi\)
−0.0462203 + 0.998931i \(0.514718\pi\)
\(18\) 4.93572 1.12417i 1.16336 0.264970i
\(19\) −5.44151 4.15931i −1.24837 0.954211i −0.248472 0.968639i \(-0.579929\pi\)
−0.999896 + 0.0144283i \(0.995407\pi\)
\(20\) −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 −0.992985 0.118239i \(-0.962275\pi\)
0.946152 0.323723i \(-0.104935\pi\)
\(24\) −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 −0.152424 + 0.988315i \(0.548708\pi\)
−0.870526 + 0.492123i \(0.836221\pi\)
\(30\) −1.22410 8.07963i −0.223490 1.47513i
\(31\) −0.0372810 0.0554582i −0.00669586 0.00996059i 0.826548 0.562866i \(-0.190301\pi\)
−0.833244 + 0.552905i \(0.813519\pi\)
\(32\) 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 0.161430 0.986884i \(-0.448389\pi\)
0.603923 + 0.797042i \(0.293603\pi\)
\(38\) 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 −0.532532 0.846410i \(-0.678760\pi\)
−0.674837 + 0.737967i \(0.735786\pi\)
\(42\) −0.399446 1.24562i −0.0616358 0.192203i
\(43\) −7.40511 10.1512i −1.12927 1.54805i −0.796085 0.605184i \(-0.793099\pi\)
−0.333183 0.942862i \(-0.608123\pi\)
\(44\) −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 −0.992215 0.124533i \(-0.960257\pi\)
0.760244 0.649637i \(-0.225079\pi\)
\(48\) 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 −0.0684225 0.997656i \(-0.521797\pi\)
0.988034 + 0.154236i \(0.0492915\pi\)
\(54\) −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 0.0807449 0.996735i \(-0.474270\pi\)
−0.0726636 + 0.997357i \(0.523150\pi\)
\(60\) 12.2765 + 2.14218i 1.58488 + 0.276554i
\(61\) −1.76055 1.49442i −0.225416 0.191341i 0.527315 0.849670i \(-0.323199\pi\)
−0.752731 + 0.658328i \(0.771264\pi\)
\(62\) 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 −0.986754 0.162221i \(-0.948134\pi\)
0.0125797 + 0.999921i \(0.495996\pi\)
\(68\) 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 −0.851565 0.524250i \(-0.824346\pi\)
0.343166 + 0.939275i \(0.388501\pi\)
\(72\) −7.44770 3.34643i −0.877720 0.394380i
\(73\) 0.154207 + 0.110239i 0.0180485 + 0.0129025i 0.590545 0.807005i \(-0.298913\pi\)
−0.572496 + 0.819907i \(0.694025\pi\)
\(74\) −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 −0.247976 0.968766i \(-0.579765\pi\)
0.0437198 + 0.999044i \(0.486079\pi\)
\(80\) 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 0.324731 0.945807i \(-0.394726\pi\)
0.802917 + 0.596091i \(0.203280\pi\)
\(84\) 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 0.987884 + 0.155197i \(0.0496012\pi\)
0.532983 + 0.846126i \(0.321071\pi\)
\(90\) 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 0.344794 0.938678i \(-0.387949\pi\)
0.438917 + 0.898527i \(0.355362\pi\)
\(98\) −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 −0.997775 0.0666678i \(-0.978763\pi\)
−0.374109 0.927385i \(-0.622051\pi\)
\(102\) −3.29348 + 7.39303i −0.326103 + 0.732019i
\(103\) −8.96055 3.48686i −0.882910 0.343571i −0.122078 0.992520i \(-0.538956\pi\)
−0.760831 + 0.648950i \(0.775208\pi\)
\(104\) −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 −0.477923 0.878402i \(-0.658610\pi\)
0.792064 0.610439i \(-0.209007\pi\)
\(108\) 9.89315 14.1235i 0.951969 1.35904i
\(109\) −3.57337 4.23712i −0.342267 0.405842i 0.565885 0.824484i \(-0.308535\pi\)
−0.908151 + 0.418642i \(0.862506\pi\)
\(110\) 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 0.895059 0.445947i \(-0.147133\pi\)
0.198667 + 0.980067i \(0.436339\pi\)
\(114\) −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 0.804429 0.594049i \(-0.202472\pi\)
−0.988634 + 0.150343i \(0.951962\pi\)
\(128\) −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 0.382035 0.924148i \(-0.375223\pi\)
−0.526909 + 0.849922i \(0.676649\pi\)
\(132\) 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 −0.990585 0.136898i \(-0.956287\pi\)
0.392485 0.919758i \(-0.371615\pi\)
\(138\) −3.49820 3.12690i −0.297787 0.266180i
\(139\) −4.80541 + 9.16142i −0.407590 + 0.777062i −0.999583 0.0288811i \(-0.990806\pi\)
0.591993 + 0.805943i \(0.298341\pi\)
\(140\) −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 −0.753342 0.657629i \(-0.771559\pi\)
0.340698 0.940173i \(-0.389337\pi\)
\(150\) −17.5282 8.14700i −1.43117 0.665200i
\(151\) 12.1520 4.37413i 0.988919 0.355961i 0.206318 0.978485i \(-0.433852\pi\)
0.782601 + 0.622524i \(0.213893\pi\)
\(152\) −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 0.978454 0.206464i \(-0.0661956\pi\)
−0.283977 + 0.958831i \(0.591654\pi\)
\(158\) 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 0.120485 0.992715i \(-0.461555\pi\)
0.580913 + 0.813966i \(0.302696\pi\)
\(164\) 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 0.962677 0.270654i \(-0.0872399\pi\)
−0.995896 + 0.0905099i \(0.971150\pi\)
\(168\) −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 −0.0386601 0.999252i \(-0.512309\pi\)
0.326346 + 0.945251i \(0.394183\pi\)
\(174\) 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 −0.0501886 0.998740i \(-0.515982\pi\)
−0.811070 + 0.584949i \(0.801115\pi\)
\(180\) 22.1995 + 18.1223i 1.65465 + 1.35076i
\(181\) −5.64787 11.2892i −0.419803 0.839117i −0.999702 0.0244281i \(-0.992224\pi\)
0.579899 0.814689i \(-0.303092\pi\)
\(182\) 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 0.720790 0.693153i \(-0.243779\pi\)
−0.166825 + 0.985987i \(0.553351\pi\)
\(192\) 8.23697 6.81244i 0.594452 0.491645i
\(193\) 8.13672 + 7.75533i 0.585694 + 0.558241i 0.923804 0.382865i \(-0.125063\pi\)
−0.338110 + 0.941106i \(0.609788\pi\)
\(194\) −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 0.700404 0.713747i \(-0.253003\pi\)
0.963726 + 0.266893i \(0.0859971\pi\)
\(198\) 24.9844 4.03091i 1.77556 0.286464i
\(199\) 1.04974 1.62821i 0.0744139 0.115421i −0.801276 0.598295i \(-0.795845\pi\)
0.875690 + 0.482874i \(0.160407\pi\)
\(200\) −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 0.823890 + 0.566750i \(0.191799\pi\)
−0.598738 + 0.800945i \(0.704331\pi\)
\(212\) −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 −0.765290 0.643685i \(-0.777405\pi\)
0.839753 + 0.542969i \(0.182700\pi\)
\(224\) 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 −0.907148 0.420812i \(-0.861745\pi\)
0.0678783 0.997694i \(-0.478377\pi\)
\(228\) 5.46397 22.3337i 0.361860 1.47909i
\(229\) −5.44849 + 25.0288i −0.360046 + 1.65395i 0.340428 + 0.940271i \(0.389428\pi\)
−0.700474 + 0.713678i \(0.747028\pi\)
\(230\) 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 −0.778722 0.627369i \(-0.784132\pi\)
0.206397 + 0.978468i \(0.433826\pi\)
\(234\) −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 0.444165 0.895945i \(-0.353501\pi\)
−0.968342 + 0.249627i \(0.919692\pi\)
\(240\) −4.30511 4.60450i −0.277893 0.297219i
\(241\) 9.65966 + 0.0618068i 0.622234 + 0.00398133i 0.317198 0.948359i \(-0.397258\pi\)
0.305036 + 0.952341i \(0.401332\pi\)
\(242\) −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 −0.832673 0.553766i \(-0.813190\pi\)
0.999989 0.00462941i \(-0.00147359\pi\)
\(252\) 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 −0.840225 0.542238i \(-0.817577\pi\)
0.216267 + 0.976334i \(0.430612\pi\)
\(258\) −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 0.944028 0.329867i \(-0.107004\pi\)
−0.989691 + 0.143220i \(0.954254\pi\)
\(264\) −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 0.425180 0.905109i \(-0.360211\pi\)
−0.948986 + 0.315318i \(0.897889\pi\)
\(270\) −32.1746 + 26.9588i −1.95809 + 1.64066i
\(271\) 4.53271 0.0870164i 0.275343 0.00528587i 0.118660 0.992935i \(-0.462140\pi\)
0.156682 + 0.987649i \(0.449920\pi\)
\(272\) −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 −0.394145 0.919048i \(-0.628959\pi\)
0.493601 + 0.869688i \(0.335680\pi\)
\(278\) −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 0.792538 0.609822i \(-0.208759\pi\)
−0.981020 + 0.193909i \(0.937883\pi\)
\(282\) −10.4369 6.31107i −0.621507 0.375819i
\(283\) −2.16786 1.72396i −0.128866 0.102479i 0.555872 0.831268i \(-0.312385\pi\)
−0.684738 + 0.728790i \(0.740083\pi\)
\(284\) 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 0.175389 0.984499i \(-0.443882\pi\)
0.635124 + 0.772410i \(0.280949\pi\)
\(294\) 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 −0.383558 0.923517i \(-0.625301\pi\)
0.919793 + 0.392404i \(0.128356\pi\)
\(308\) −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 −0.791036 0.611769i \(-0.790458\pi\)
0.261713 + 0.965146i \(0.415713\pi\)
\(312\) 0.583531 + 0.563349i 0.0330359 + 0.0318934i
\(313\) 14.8291 + 2.98054i 0.838193 + 0.168470i 0.597236 0.802066i \(-0.296266\pi\)
0.240957 + 0.970536i \(0.422539\pi\)
\(314\) −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 0.176316 0.984334i \(-0.443582\pi\)
0.896321 + 0.443405i \(0.146230\pi\)
\(318\) 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 0.995109 0.0987838i \(-0.0314952\pi\)
0.627591 + 0.778543i \(0.284041\pi\)
\(332\) −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 0.0444225 + 0.999013i \(0.485855\pi\)
−0.918452 + 0.395532i \(0.870560\pi\)
\(338\) 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 0.213234 0.977001i \(-0.431600\pi\)
−0.578512 + 0.815674i \(0.696366\pi\)
\(348\) −31.9335 6.20607i −1.71182 0.332680i
\(349\) 2.22859 + 15.3732i 0.119294 + 0.822909i 0.959715 + 0.280975i \(0.0906579\pi\)
−0.840421 + 0.541934i \(0.817692\pi\)
\(350\) 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 0.949729 0.313072i \(-0.101358\pi\)
−0.316109 + 0.948723i \(0.602377\pi\)
\(354\) 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 −0.667184 0.744893i \(-0.732500\pi\)
0.227327 + 0.973818i \(0.427001\pi\)
\(360\) −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 −0.775098 0.631841i \(-0.782300\pi\)
0.615427 0.788194i \(-0.288983\pi\)
\(368\) 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 0.679274 + 0.733884i \(0.262295\pi\)
−0.737899 + 0.674911i \(0.764182\pi\)
\(374\) −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 −0.744067 0.668105i \(-0.767106\pi\)
−0.991534 + 0.129846i \(0.958552\pi\)
\(380\) 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 0.999888 + 0.0149377i \(0.00475499\pi\)
−0.545436 + 0.838152i \(0.683636\pi\)
\(384\) 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 0.830906 0.556413i \(-0.187823\pi\)
0.273389 + 0.961904i \(0.411855\pi\)
\(390\) −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 −0.783130 0.621858i \(-0.786378\pi\)
0.859376 0.511344i \(-0.170852\pi\)
\(398\) 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 0.375677 0.926751i \(-0.377410\pi\)
0.925544 0.378640i \(-0.123608\pi\)
\(402\) −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 0.992740 0.120280i \(-0.0383793\pi\)
−0.224222 + 0.974538i \(0.571984\pi\)
\(410\) −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 −0.679527 0.733650i \(-0.737815\pi\)
0.613528 + 0.789673i \(0.289750\pi\)
\(420\) 4.17061 6.11916i 0.203505 0.298585i
\(421\) 15.6347 1.60619i 0.761987 0.0782811i 0.286591 0.958053i \(-0.407478\pi\)
0.475396 + 0.879772i \(0.342305\pi\)
\(422\) −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 0.943169 + 0.332312i \(0.107829\pi\)
−0.745805 + 0.666164i \(0.767935\pi\)
\(432\) −8.29722 + 2.69006i −0.399200 + 0.129426i
\(433\) −28.4644 + 0.364271i −1.36791 + 0.0175058i −0.693291 0.720657i \(-0.743840\pi\)
−0.674622 + 0.738163i \(0.735693\pi\)
\(434\) 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 −0.605486 0.795856i \(-0.707021\pi\)
0.0917043 + 0.995786i \(0.470769\pi\)
\(440\) 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 0.892922 + 0.450211i \(0.148651\pi\)
−0.347766 + 0.937581i \(0.613060\pi\)
\(444\) 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 0.529868 0.848080i \(-0.322242\pi\)
0.761462 + 0.648209i \(0.224482\pi\)
\(450\) −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 0.640175 0.768229i \(-0.278862\pi\)
0.504126 + 0.863630i \(0.331815\pi\)
\(458\) −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 0.710551 + 0.703645i \(0.248446\pi\)
−0.999817 + 0.0191094i \(0.993917\pi\)
\(462\) −1.59472 6.34225i −0.0741929 0.295068i
\(463\) −19.4287 + 17.3665i −0.902928 + 0.807092i −0.981824 0.189791i \(-0.939219\pi\)
0.0788963 + 0.996883i \(0.474860\pi\)
\(464\) −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 −0.609511 0.792778i \(-0.708634\pi\)
0.990163 + 0.139915i \(0.0446830\pi\)
\(468\) 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 −0.768982 0.639270i \(-0.779237\pi\)
0.538605 + 0.842558i \(0.318951\pi\)
\(480\) −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 −0.123841 0.992302i \(-0.539521\pi\)
0.998970 0.0453810i \(-0.0144502\pi\)
\(488\) −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 0.986606 + 0.163120i \(0.0521557\pi\)
−0.689436 + 0.724346i \(0.742142\pi\)
\(492\) −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 0.471448 0.881894i \(-0.343731\pi\)
−0.871116 + 0.491078i \(0.836603\pi\)
\(500\) 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 −0.222544 0.974923i \(-0.571436\pi\)
0.591531 + 0.806282i \(0.298524\pi\)
\(504\) −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 −0.790530 0.612423i \(-0.790195\pi\)
0.754093 + 0.656768i \(0.228077\pi\)
\(510\) 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 0.965233 0.261391i \(-0.0841811\pi\)
−0.974073 + 0.226235i \(0.927358\pi\)
\(522\) −18.2273 + 45.5423i −0.797786 + 1.99333i
\(523\) −13.7472 28.8493i −0.601124 1.26149i −0.946401 0.322993i \(-0.895311\pi\)
0.345278 0.938501i \(-0.387785\pi\)
\(524\) 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 −0.281054 0.959692i \(-0.590684\pi\)
0.970548 + 0.240910i \(0.0774457\pi\)
\(542\) −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 0.882061 + 0.471135i \(0.156156\pi\)
−0.825703 + 0.564105i \(0.809221\pi\)
\(548\) −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 −0.800971 0.598704i \(-0.795683\pi\)
0.942368 0.334579i \(-0.108594\pi\)
\(558\) −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 −0.678370 0.734721i \(-0.737313\pi\)
0.931879 + 0.362769i \(0.118169\pi\)
\(564\) 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 0.871375 0.490618i \(-0.163229\pi\)
−0.989327 + 0.145711i \(0.953453\pi\)
\(570\) −26.9447 + 49.0568i −1.12859 + 2.05476i
\(571\) 11.6322 + 18.8262i 0.486793 + 0.787853i 0.997408 0.0719568i \(-0.0229244\pi\)
−0.510615 + 0.859810i \(0.670582\pi\)
\(572\) 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 −0.441331 0.897344i \(-0.645493\pi\)
−0.0219913 + 0.999758i \(0.507001\pi\)
\(578\) −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 −0.431649 0.902042i \(-0.642068\pi\)
0.698025 0.716073i \(-0.254062\pi\)
\(588\) −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 −0.140713 + 0.990050i \(0.544939\pi\)
−0.955943 + 0.293553i \(0.905162\pi\)
\(594\) −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 0.974463 0.224550i \(-0.0720913\pi\)
−0.873072 + 0.487592i \(0.837875\pi\)
\(600\) 14.6582 + 27.5161i 0.598417 + 1.12334i
\(601\) −21.9701 + 20.9403i −0.896180 + 0.854174i −0.989950 0.141420i \(-0.954833\pi\)
0.0937698 + 0.995594i \(0.470108\pi\)
\(602\) 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 0.309347 0.950949i \(-0.399890\pi\)
−0.863387 + 0.504542i \(0.831661\pi\)
\(608\) −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 0.959909 0.280311i \(-0.0904375\pi\)
−0.0441650 + 0.999024i \(0.514063\pi\)
\(614\) 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 −0.0834362 0.996513i \(-0.526589\pi\)
−0.0195485 + 0.999809i \(0.506223\pi\)
\(618\) −19.7738 + 7.54936i −0.795420 + 0.303680i
\(619\) −6.65294 2.49134i −0.267404 0.100135i 0.213396 0.976966i \(-0.431548\pi\)
−0.480800 + 0.876830i \(0.659654\pi\)
\(620\) 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 0.670207 0.742174i \(-0.266205\pi\)
0.494225 + 0.869334i \(0.335452\pi\)
\(632\) −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 0.549104 0.835754i \(-0.314969\pi\)
−0.272594 + 0.962129i \(0.587882\pi\)
\(642\) −17.4520 29.9322i −0.688777 1.18133i
\(643\) 25.2815 23.7897i 0.997006 0.938174i −0.00108069 0.999999i \(-0.500344\pi\)
0.998087 + 0.0618256i \(0.0196923\pi\)
\(644\) 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 0.194495 0.980904i \(-0.437693\pi\)
−0.901108 + 0.433594i \(0.857245\pi\)
\(648\) 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 0.995532 0.0944257i \(-0.0301015\pi\)
−0.996945 + 0.0781094i \(0.975112\pi\)
\(654\) −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 −0.232471 0.972603i \(-0.574681\pi\)
0.614027 + 0.789285i \(0.289549\pi\)
\(660\) 60.5642 + 14.6119i 2.35746 + 0.568768i
\(661\) 15.5024 20.6899i 0.602973 0.804745i −0.390282 0.920695i \(-0.627623\pi\)
0.993255 + 0.115950i \(0.0369912\pi\)
\(662\) −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 −0.959707 0.281001i \(-0.909334\pi\)
0.939852 + 0.341582i \(0.110963\pi\)
\(674\) −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 −0.978704 0.205275i \(-0.934191\pi\)
−0.0842807 + 0.996442i \(0.526859\pi\)
\(678\) 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 −0.752624 0.658451i \(-0.771212\pi\)
0.698390 + 0.715718i \(0.253900\pi\)
\(684\) 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 0.997125 0.0757693i \(-0.0241413\pi\)
−0.861793 + 0.507259i \(0.830659\pi\)
\(692\) −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 0.197857 0.980231i \(-0.436602\pi\)
−0.776158 + 0.630539i \(0.782834\pi\)
\(702\) 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 −0.136379 0.990657i \(-0.543546\pi\)
0.244590 + 0.969627i \(0.421347\pi\)
\(710\) −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 −0.625362 0.780335i \(-0.715049\pi\)
−0.584617 + 0.811309i \(0.698755\pi\)
\(720\) −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 −0.835380 0.549673i \(-0.814752\pi\)
0.124170 + 0.992261i \(0.460373\pi\)
\(728\) −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 −0.714032 0.700113i \(-0.753133\pi\)
0.970913 + 0.239433i \(0.0769616\pi\)
\(734\) 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 0.871755 + 0.489942i \(0.162982\pi\)
−0.578825 + 0.815452i \(0.696488\pi\)
\(740\) −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 0.900784 0.434266i \(-0.142992\pi\)
−0.493758 + 0.869599i \(0.664377\pi\)
\(744\) 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 −0.906726 0.421721i \(-0.861426\pi\)
0.909406 0.415910i \(-0.136537\pi\)
\(752\) 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 −0.855029 0.518581i \(-0.826461\pi\)
0.532191 + 0.846625i \(0.321369\pi\)
\(758\) 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 −0.168217 0.985750i \(-0.553801\pi\)
0.976315 0.216356i \(-0.0694171\pi\)
\(762\) −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 0.367075 0.930191i \(-0.380359\pi\)
−0.633652 + 0.773619i \(0.718445\pi\)
\(770\)