Properties

Label 983.2.c.a.2.10
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 2.10
Character \(\chi\) \(=\) 983.2
Dual form 983.2.c.a.492.10

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.696245 + 2.07926i) q^{2} +(-2.48076 - 1.39373i) q^{3} +(-2.24185 - 1.69098i) q^{4} +(1.99175 - 3.00421i) q^{5} +(4.62514 - 4.18777i) q^{6} +(1.53695 - 3.39151i) q^{7} +(1.46097 - 1.00260i) q^{8} +(2.65117 + 4.35284i) q^{9} +O(q^{10})\) \(q+(-0.696245 + 2.07926i) q^{2} +(-2.48076 - 1.39373i) q^{3} +(-2.24185 - 1.69098i) q^{4} +(1.99175 - 3.00421i) q^{5} +(4.62514 - 4.18777i) q^{6} +(1.53695 - 3.39151i) q^{7} +(1.46097 - 1.00260i) q^{8} +(2.65117 + 4.35284i) q^{9} +(4.85979 + 6.23303i) q^{10} +(-1.68953 - 0.108250i) q^{11} +(3.20473 + 7.31945i) q^{12} +(3.96988 + 4.58687i) q^{13} +(5.98174 + 5.55703i) q^{14} +(-9.12811 + 4.67678i) q^{15} +(-0.475549 - 1.66424i) q^{16} +(2.61959 - 1.15696i) q^{17} +(-10.8965 + 2.48183i) q^{18} +(5.19566 + 3.97138i) q^{19} +(-9.54526 + 3.36699i) q^{20} +(-8.53964 + 6.27145i) q^{21} +(1.40141 - 3.43760i) q^{22} +(-0.368058 - 3.47333i) q^{23} +(-5.02166 + 0.451033i) q^{24} +(-3.11161 - 7.36176i) q^{25} +(-12.3013 + 5.06082i) q^{26} +(-0.209904 - 5.96226i) q^{27} +(-9.18058 + 5.00431i) q^{28} +(4.78299 - 6.92206i) q^{29} +(-3.36885 - 22.2359i) q^{30} +(2.90512 + 4.32158i) q^{31} +(7.33174 + 0.328597i) q^{32} +(4.04045 + 2.62329i) q^{33} +(0.581738 + 6.25234i) q^{34} +(-7.12761 - 11.3723i) q^{35} +(1.41704 - 14.2415i) q^{36} +(-0.942967 + 0.233898i) q^{37} +(-11.8750 + 8.03806i) q^{38} +(-3.45547 - 16.9119i) q^{39} +(-0.102158 - 6.38598i) q^{40} +(11.9286 + 1.07139i) q^{41} +(-7.09429 - 22.1226i) q^{42} +(-1.14370 - 1.56783i) q^{43} +(3.60462 + 3.09964i) q^{44} +(18.3573 + 0.705086i) q^{45} +(7.47821 + 1.65300i) q^{46} +(-2.01340 - 6.71943i) q^{47} +(-1.13977 + 4.79137i) q^{48} +(-4.52542 - 5.16164i) q^{49} +(17.4735 - 1.34426i) q^{50} +(-8.11106 - 0.780861i) q^{51} +(-1.14356 - 16.9961i) q^{52} +(-1.57986 + 1.44896i) q^{53} +(12.5432 + 3.71475i) q^{54} +(-3.69032 + 4.86010i) q^{55} +(-1.15492 - 6.49583i) q^{56} +(-7.35416 - 17.0934i) q^{57} +(11.0626 + 14.7645i) q^{58} +(-10.1372 - 0.779872i) q^{59} +(28.3722 + 4.95080i) q^{60} +(-7.22504 - 6.13289i) q^{61} +(-11.0084 + 3.03162i) q^{62} +(18.8374 - 2.30139i) q^{63} +(-4.54288 + 11.7857i) q^{64} +(21.6869 - 2.79046i) q^{65} +(-8.26763 + 6.57469i) q^{66} +(-5.31088 + 4.56686i) q^{67} +(-7.82912 - 1.83595i) q^{68} +(-3.92781 + 9.12948i) q^{69} +(28.6086 - 6.90221i) q^{70} +(-2.38566 + 1.94751i) q^{71} +(8.23744 + 3.70128i) q^{72} +(-5.98515 - 4.27864i) q^{73} +(0.170201 - 2.12352i) q^{74} +(-2.54112 + 22.5995i) q^{75} +(-4.93235 - 17.6890i) q^{76} +(-2.96384 + 5.56368i) q^{77} +(37.5700 + 4.58997i) q^{78} +(-12.2282 + 1.81264i) q^{79} +(-5.94691 - 1.88610i) q^{80} +(-0.773557 + 1.49799i) q^{81} +(-10.5329 + 24.0567i) q^{82} +(14.9172 - 4.62626i) q^{83} +(29.7495 + 0.380716i) q^{84} +(1.74182 - 10.1742i) q^{85} +(4.05622 - 1.28645i) q^{86} +(-21.5129 + 10.5058i) q^{87} +(-2.57688 + 1.53578i) q^{88} +(6.07593 + 4.00033i) q^{89} +(-14.2472 + 37.6787i) q^{90} +(21.6579 - 6.41411i) q^{91} +(-5.04820 + 8.40906i) q^{92} +(-1.18380 - 14.7697i) q^{93} +(15.3733 + 0.491986i) q^{94} +(22.2793 - 7.69886i) q^{95} +(-17.7303 - 11.0336i) q^{96} +(2.88782 - 0.147948i) q^{97} +(13.8832 - 5.81576i) q^{98} +(-4.00803 - 7.64124i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.696245 + 2.07926i −0.492319 + 1.47026i 0.352809 + 0.935695i \(0.385227\pi\)
−0.845128 + 0.534563i \(0.820476\pi\)
\(3\) −2.48076 1.39373i −1.43227 0.804669i −0.436782 0.899568i \(-0.643882\pi\)
−0.995487 + 0.0948986i \(0.969747\pi\)
\(4\) −2.24185 1.69098i −1.12093 0.845490i
\(5\) 1.99175 3.00421i 0.890737 1.34352i −0.0479847 0.998848i \(-0.515280\pi\)
0.938722 0.344676i \(-0.112011\pi\)
\(6\) 4.62514 4.18777i 1.88821 1.70965i
\(7\) 1.53695 3.39151i 0.580911 1.28187i −0.356711 0.934215i \(-0.616102\pi\)
0.937622 0.347656i \(-0.113022\pi\)
\(8\) 1.46097 1.00260i 0.516529 0.354474i
\(9\) 2.65117 + 4.35284i 0.883723 + 1.45095i
\(10\) 4.85979 + 6.23303i 1.53680 + 1.97106i
\(11\) −1.68953 0.108250i −0.509412 0.0326386i −0.192884 0.981222i \(-0.561784\pi\)
−0.316528 + 0.948583i \(0.602517\pi\)
\(12\) 3.20473 + 7.31945i 0.925126 + 2.11294i
\(13\) 3.96988 + 4.58687i 1.10105 + 1.27217i 0.959338 + 0.282260i \(0.0910840\pi\)
0.141707 + 0.989909i \(0.454741\pi\)
\(14\) 5.98174 + 5.55703i 1.59869 + 1.48518i
\(15\) −9.12811 + 4.67678i −2.35687 + 1.20754i
\(16\) −0.475549 1.66424i −0.118887 0.416060i
\(17\) 2.61959 1.15696i 0.635344 0.280603i −0.0611909 0.998126i \(-0.519490\pi\)
0.696535 + 0.717523i \(0.254724\pi\)
\(18\) −10.8965 + 2.48183i −2.56834 + 0.584972i
\(19\) 5.19566 + 3.97138i 1.19197 + 0.911098i 0.997559 0.0698232i \(-0.0222435\pi\)
0.194406 + 0.980921i \(0.437722\pi\)
\(20\) −9.54526 + 3.36699i −2.13439 + 0.752881i
\(21\) −8.53964 + 6.27145i −1.86350 + 1.36854i
\(22\) 1.40141 3.43760i 0.298781 0.732899i
\(23\) −0.368058 3.47333i −0.0767454 0.724239i −0.964529 0.263978i \(-0.914965\pi\)
0.887783 0.460262i \(-0.152244\pi\)
\(24\) −5.02166 + 0.451033i −1.02504 + 0.0920666i
\(25\) −3.11161 7.36176i −0.622322 1.47235i
\(26\) −12.3013 + 5.06082i −2.41248 + 0.992508i
\(27\) −0.209904 5.96226i −0.0403961 1.14744i
\(28\) −9.18058 + 5.00431i −1.73497 + 0.945726i
\(29\) 4.78299 6.92206i 0.888178 1.28539i −0.0695084 0.997581i \(-0.522143\pi\)
0.957687 0.287813i \(-0.0929282\pi\)
\(30\) −3.36885 22.2359i −0.615064 4.05970i
\(31\) 2.90512 + 4.32158i 0.521774 + 0.776178i 0.994467 0.105049i \(-0.0335000\pi\)
−0.472693 + 0.881227i \(0.656718\pi\)
\(32\) 7.33174 + 0.328597i 1.29608 + 0.0580883i
\(33\) 4.04045 + 2.62329i 0.703352 + 0.456655i
\(34\) 0.581738 + 6.25234i 0.0997672 + 1.07227i
\(35\) −7.12761 11.3723i −1.20479 1.92228i
\(36\) 1.41704 14.2415i 0.236174 2.37358i
\(37\) −0.942967 + 0.233898i −0.155023 + 0.0384526i −0.317491 0.948261i \(-0.602840\pi\)
0.162469 + 0.986714i \(0.448054\pi\)
\(38\) −11.8750 + 8.03806i −1.92638 + 1.30395i
\(39\) −3.45547 16.9119i −0.553318 2.70806i
\(40\) −0.102158 6.38598i −0.0161526 1.00971i
\(41\) 11.9286 + 1.07139i 1.86293 + 0.167324i 0.963142 0.268995i \(-0.0866915\pi\)
0.899792 + 0.436319i \(0.143718\pi\)
\(42\) −7.09429 22.1226i −1.09467 3.41359i
\(43\) −1.14370 1.56783i −0.174412 0.239092i 0.711787 0.702395i \(-0.247886\pi\)
−0.886200 + 0.463303i \(0.846664\pi\)
\(44\) 3.60462 + 3.09964i 0.543417 + 0.467288i
\(45\) 18.3573 + 0.705086i 2.73655 + 0.105108i
\(46\) 7.47821 + 1.65300i 1.10260 + 0.243722i
\(47\) −2.01340 6.71943i −0.293685 0.980129i −0.969916 0.243440i \(-0.921724\pi\)
0.676231 0.736689i \(-0.263612\pi\)
\(48\) −1.13977 + 4.79137i −0.164512 + 0.691575i
\(49\) −4.52542 5.16164i −0.646489 0.737378i
\(50\) 17.4735 1.34426i 2.47112 0.190107i
\(51\) −8.11106 0.780861i −1.13578 0.109342i
\(52\) −1.14356 16.9961i −0.158584 2.35693i
\(53\) −1.57986 + 1.44896i −0.217010 + 0.199030i −0.777057 0.629431i \(-0.783288\pi\)
0.560047 + 0.828461i \(0.310783\pi\)
\(54\) 12.5432 + 3.71475i 1.70692 + 0.505513i
\(55\) −3.69032 + 4.86010i −0.497603 + 0.655335i
\(56\) −1.15492 6.49583i −0.154332 0.868042i
\(57\) −7.35416 17.0934i −0.974082 2.26407i
\(58\) 11.0626 + 14.7645i 1.45260 + 1.93868i
\(59\) −10.1372 0.779872i −1.31975 0.101531i −0.602375 0.798213i \(-0.705779\pi\)
−0.717379 + 0.696683i \(0.754659\pi\)
\(60\) 28.3722 + 4.95080i 3.66283 + 0.639146i
\(61\) −7.22504 6.13289i −0.925072 0.785237i 0.0518892 0.998653i \(-0.483476\pi\)
−0.976961 + 0.213416i \(0.931541\pi\)
\(62\) −11.0084 + 3.03162i −1.39806 + 0.385016i
\(63\) 18.8374 2.30139i 2.37329 0.289948i
\(64\) −4.54288 + 11.7857i −0.567860 + 1.47322i
\(65\) 21.6869 2.79046i 2.68993 0.346114i
\(66\) −8.26763 + 6.57469i −1.01768 + 0.809289i
\(67\) −5.31088 + 4.56686i −0.648827 + 0.557931i −0.913719 0.406347i \(-0.866802\pi\)
0.264892 + 0.964278i \(0.414664\pi\)
\(68\) −7.82912 1.83595i −0.949421 0.222642i
\(69\) −3.92781 + 9.12948i −0.472853 + 1.09906i
\(70\) 28.6086 6.90221i 3.41938 0.824972i
\(71\) −2.38566 + 1.94751i −0.283126 + 0.231127i −0.763296 0.646049i \(-0.776420\pi\)
0.480170 + 0.877175i \(0.340575\pi\)
\(72\) 8.23744 + 3.70128i 0.970791 + 0.436200i
\(73\) −5.98515 4.27864i −0.700508 0.500777i 0.174640 0.984632i \(-0.444124\pi\)
−0.875148 + 0.483856i \(0.839236\pi\)
\(74\) 0.170201 2.12352i 0.0197855 0.246855i
\(75\) −2.54112 + 22.5995i −0.293424 + 2.60957i
\(76\) −4.93235 17.6890i −0.565779 2.02907i
\(77\) −2.96384 + 5.56368i −0.337761 + 0.634040i
\(78\) 37.5700 + 4.58997i 4.25396 + 0.519712i
\(79\) −12.2282 + 1.81264i −1.37579 + 0.203938i −0.793264 0.608878i \(-0.791620\pi\)
−0.582521 + 0.812816i \(0.697934\pi\)
\(80\) −5.94691 1.88610i −0.664884 0.210872i
\(81\) −0.773557 + 1.49799i −0.0859508 + 0.166444i
\(82\) −10.5329 + 24.0567i −1.16317 + 2.65662i
\(83\) 14.9172 4.62626i 1.63738 0.507798i 0.666126 0.745839i \(-0.267951\pi\)
0.971255 + 0.238041i \(0.0765054\pi\)
\(84\) 29.7495 + 0.380716i 3.24593 + 0.0415396i
\(85\) 1.74182 10.1742i 0.188927 1.10354i
\(86\) 4.05622 1.28645i 0.437393 0.138722i
\(87\) −21.5129 + 10.5058i −2.30643 + 1.12634i
\(88\) −2.57688 + 1.53578i −0.274696 + 0.163715i
\(89\) 6.07593 + 4.00033i 0.644047 + 0.424034i 0.829413 0.558636i \(-0.188675\pi\)
−0.185366 + 0.982670i \(0.559347\pi\)
\(90\) −14.2472 + 37.6787i −1.50179 + 3.97169i
\(91\) 21.6579 6.41411i 2.27036 0.672381i
\(92\) −5.04820 + 8.40906i −0.526311 + 0.876706i
\(93\) −1.18380 14.7697i −0.122754 1.53155i
\(94\) 15.3733 + 0.491986i 1.58563 + 0.0507445i
\(95\) 22.2793 7.69886i 2.28581 0.789886i
\(96\) −17.7303 11.0336i −1.80959 1.12611i
\(97\) 2.88782 0.147948i 0.293214 0.0150218i 0.0959967 0.995382i \(-0.469396\pi\)
0.197217 + 0.980360i \(0.436810\pi\)
\(98\) 13.8832 5.81576i 1.40241 0.587481i
\(99\) −4.00803 7.64124i −0.402822 0.767973i
\(100\) −5.47283 + 21.7656i −0.547283 + 2.17656i
\(101\) 10.8434 + 7.85700i 1.07896 + 0.781801i 0.977054 0.212994i \(-0.0683214\pi\)
0.101903 + 0.994794i \(0.467507\pi\)
\(102\) 7.27090 16.3213i 0.719926 1.61605i
\(103\) −1.60007 0.622642i −0.157659 0.0613507i 0.282516 0.959263i \(-0.408831\pi\)
−0.440175 + 0.897912i \(0.645084\pi\)
\(104\) 10.3987 + 2.72105i 1.01967 + 0.266821i
\(105\) 1.83195 + 38.1460i 0.178780 + 3.72267i
\(106\) −1.91280 4.29376i −0.185788 0.417047i
\(107\) 1.66401 7.88642i 0.160866 0.762409i −0.820711 0.571343i \(-0.806423\pi\)
0.981577 0.191066i \(-0.0611945\pi\)
\(108\) −9.61149 + 13.7214i −0.924866 + 1.32035i
\(109\) −0.00849477 0.0100727i −0.000813651 0.000964786i 0.764036 0.645174i \(-0.223215\pi\)
−0.764849 + 0.644209i \(0.777187\pi\)
\(110\) −7.53604 11.0570i −0.718533 1.05424i
\(111\) 2.66527 + 0.733994i 0.252976 + 0.0696676i
\(112\) −6.37518 0.945018i −0.602398 0.0892958i
\(113\) 3.34067 + 1.63141i 0.314264 + 0.153471i 0.589189 0.807995i \(-0.299447\pi\)
−0.274925 + 0.961466i \(0.588653\pi\)
\(114\) 40.6619 3.39002i 3.80833 0.317505i
\(115\) −11.1677 5.81227i −1.04139 0.541997i
\(116\) −22.4278 + 7.43029i −2.08237 + 0.689885i
\(117\) −9.44109 + 29.4408i −0.872829 + 2.72180i
\(118\) 8.67955 20.5349i 0.799017 1.89039i
\(119\) 0.102337 10.6626i 0.00938125 0.977434i
\(120\) −8.64689 + 15.9845i −0.789350 + 1.45918i
\(121\) −8.06727 1.03802i −0.733388 0.0943652i
\(122\) 17.7823 10.7528i 1.60993 0.973508i
\(123\) −28.0988 19.2831i −2.53358 1.73870i
\(124\) 0.794864 14.6008i 0.0713809 1.31119i
\(125\) −10.6008 1.98988i −0.948161 0.177981i
\(126\) −8.33026 + 40.7702i −0.742119 + 3.63210i
\(127\) −0.237328 0.571667i −0.0210595 0.0507272i 0.912695 0.408641i \(-0.133997\pi\)
−0.933755 + 0.357914i \(0.883488\pi\)
\(128\) −10.0317 8.29681i −0.886689 0.733342i
\(129\) 0.652118 + 5.48341i 0.0574158 + 0.482788i
\(130\) −9.29731 + 47.0356i −0.815428 + 4.12529i
\(131\) 7.40315 + 3.79300i 0.646817 + 0.331396i 0.748221 0.663449i \(-0.230908\pi\)
−0.101405 + 0.994845i \(0.532334\pi\)
\(132\) −4.62216 12.7133i −0.402307 1.10655i
\(133\) 21.4544 11.5173i 1.86034 0.998678i
\(134\) −5.79802 14.2224i −0.500873 1.22862i
\(135\) −18.3300 11.2447i −1.57759 0.967792i
\(136\) 2.66716 4.31669i 0.228707 0.370153i
\(137\) −2.15525 3.80766i −0.184136 0.325310i 0.762856 0.646568i \(-0.223797\pi\)
−0.946992 + 0.321258i \(0.895894\pi\)
\(138\) −16.2478 14.5233i −1.38311 1.23630i
\(139\) 0.872135 1.66271i 0.0739736 0.141029i −0.845772 0.533545i \(-0.820860\pi\)
0.919745 + 0.392516i \(0.128395\pi\)
\(140\) −3.25138 + 37.5477i −0.274792 + 3.17336i
\(141\) −4.37029 + 19.4754i −0.368045 + 1.64013i
\(142\) −2.38837 6.31636i −0.200427 0.530057i
\(143\) −6.21069 8.17939i −0.519364 0.683995i
\(144\) 5.98341 6.48217i 0.498618 0.540181i
\(145\) −11.2688 28.1561i −0.935826 2.33824i
\(146\) 13.0635 9.46569i 1.08115 0.783386i
\(147\) 4.03257 + 19.1120i 0.332601 + 1.57633i
\(148\) 2.50951 + 1.07017i 0.206280 + 0.0879678i
\(149\) 1.72563 + 6.68183i 0.141369 + 0.547397i 0.999427 + 0.0338441i \(0.0107750\pi\)
−0.858058 + 0.513553i \(0.828329\pi\)
\(150\) −45.2210 21.0185i −3.69228 1.71615i
\(151\) −21.0722 + 7.58493i −1.71483 + 0.617253i −0.996887 0.0788489i \(-0.974876\pi\)
−0.717943 + 0.696102i \(0.754916\pi\)
\(152\) 11.5724 + 0.592872i 0.938646 + 0.0480883i
\(153\) 11.9810 + 8.33537i 0.968609 + 0.673875i
\(154\) −9.50478 10.0363i −0.765917 0.808747i
\(155\) 18.7692 0.120094i 1.50758 0.00964615i
\(156\) −20.8510 + 43.7570i −1.66941 + 3.50336i
\(157\) −13.1533 14.2497i −1.04975 1.13725i −0.990289 0.139023i \(-0.955604\pi\)
−0.0594600 0.998231i \(-0.518938\pi\)
\(158\) 4.74491 26.6877i 0.377484 2.12316i
\(159\) 5.93870 1.39264i 0.470970 0.110444i
\(160\) 15.5901 21.3716i 1.23251 1.68957i
\(161\) −12.3455 4.09005i −0.972963 0.322341i
\(162\) −2.57614 2.65140i −0.202400 0.208313i
\(163\) 16.7656 4.27267i 1.31318 0.334662i 0.474969 0.880003i \(-0.342459\pi\)
0.838214 + 0.545341i \(0.183600\pi\)
\(164\) −24.9304 22.5729i −1.94674 1.76265i
\(165\) 15.9285 6.91344i 1.24003 0.538211i
\(166\) −0.766859 + 34.2378i −0.0595198 + 2.65737i
\(167\) −3.18442 17.2689i −0.246418 1.33631i −0.844792 0.535094i \(-0.820276\pi\)
0.598374 0.801217i \(-0.295814\pi\)
\(168\) −6.18834 + 17.7242i −0.477441 + 1.36745i
\(169\) −3.41439 + 23.5531i −0.262646 + 1.81178i
\(170\) 19.9420 + 10.7054i 1.52948 + 0.821068i
\(171\) −3.51224 + 33.1447i −0.268587 + 2.53464i
\(172\) −0.0871660 + 5.44881i −0.00664634 + 0.415468i
\(173\) −11.3130 + 2.12358i −0.860112 + 0.161453i −0.595946 0.803024i \(-0.703223\pi\)
−0.264166 + 0.964477i \(0.585097\pi\)
\(174\) −6.86604 52.0456i −0.520513 3.94556i
\(175\) −29.7499 0.761567i −2.24888 0.0575691i
\(176\) 0.623300 + 2.86326i 0.0469830 + 0.215826i
\(177\) 24.0611 + 16.0632i 1.80854 + 1.20738i
\(178\) −12.5481 + 9.84822i −0.940516 + 0.738156i
\(179\) −15.0085 7.21081i −1.12179 0.538961i −0.221893 0.975071i \(-0.571224\pi\)
−0.899894 + 0.436110i \(0.856356\pi\)
\(180\) −39.9621 32.6226i −2.97860 2.43154i
\(181\) 10.2081 + 20.4043i 0.758762 + 1.51664i 0.853474 + 0.521135i \(0.174491\pi\)
−0.0947122 + 0.995505i \(0.530193\pi\)
\(182\) −1.74261 + 49.4982i −0.129171 + 3.66905i
\(183\) 9.37603 + 25.2840i 0.693096 + 1.86905i
\(184\) −4.02009 4.70540i −0.296365 0.346887i
\(185\) −1.17547 + 3.29874i −0.0864225 + 0.242528i
\(186\) 31.5343 + 7.82193i 2.31221 + 0.573532i
\(187\) −4.55111 + 1.67114i −0.332810 + 0.122206i
\(188\) −6.84868 + 18.4686i −0.499491 + 1.34696i
\(189\) −20.5437 8.45178i −1.49433 0.614777i
\(190\) 0.496062 + 51.6848i 0.0359881 + 3.74961i
\(191\) −12.3011 6.50250i −0.890073 0.470504i −0.0412305 0.999150i \(-0.513128\pi\)
−0.848843 + 0.528645i \(0.822700\pi\)
\(192\) 27.6959 22.9061i 1.99878 1.65311i
\(193\) 2.84175 + 2.70855i 0.204554 + 0.194966i 0.785294 0.619123i \(-0.212512\pi\)
−0.580740 + 0.814089i \(0.697237\pi\)
\(194\) −1.70301 + 6.10754i −0.122269 + 0.438496i
\(195\) −57.6892 23.3032i −4.13121 1.66878i
\(196\) 1.41708 + 19.2240i 0.101220 + 1.37314i
\(197\) 2.01387 0.540765i 0.143482 0.0385279i −0.186877 0.982383i \(-0.559836\pi\)
0.330359 + 0.943855i \(0.392830\pi\)
\(198\) 18.6787 3.01357i 1.32744 0.214165i
\(199\) −5.64779 + 8.76010i −0.400361 + 0.620987i −0.981191 0.193038i \(-0.938166\pi\)
0.580830 + 0.814025i \(0.302728\pi\)
\(200\) −11.9269 7.63557i −0.843358 0.539916i
\(201\) 19.5400 3.92738i 1.37824 0.277016i
\(202\) −23.8864 + 17.0758i −1.68064 + 1.20145i
\(203\) −16.1251 26.8604i −1.13176 1.88523i
\(204\) 16.8634 + 15.4662i 1.18067 + 1.08285i
\(205\) 26.9775 33.7021i 1.88419 2.35386i
\(206\) 2.40867 2.89345i 0.167820 0.201596i
\(207\) 14.1431 10.8105i 0.983011 0.751380i
\(208\) 5.74578 8.78811i 0.398398 0.609346i
\(209\) −8.34831 7.27220i −0.577465 0.503028i
\(210\) −80.5910 22.7499i −5.56131 1.56989i
\(211\) 0.996195 + 6.05143i 0.0685809 + 0.416598i 0.998773 + 0.0495244i \(0.0157705\pi\)
−0.930192 + 0.367073i \(0.880360\pi\)
\(212\) 5.99197 0.576853i 0.411530 0.0396184i
\(213\) 8.63256 1.50634i 0.591493 0.103213i
\(214\) 15.2394 + 8.95078i 1.04174 + 0.611863i
\(215\) −6.98805 + 0.313194i −0.476581 + 0.0213596i
\(216\) −6.28445 8.50021i −0.427603 0.578366i
\(217\) 19.1217 3.21070i 1.29806 0.217957i
\(218\) 0.0268581 0.0106498i 0.00181906 0.000721295i
\(219\) 8.88446 + 18.9559i 0.600356 + 1.28092i
\(220\) 16.4915 4.65535i 1.11186 0.313864i
\(221\) 15.7063 + 7.42274i 1.05652 + 0.499308i
\(222\) −3.38184 + 5.03074i −0.226974 + 0.337641i
\(223\) 15.5503 21.0329i 1.04132 1.40847i 0.132550 0.991176i \(-0.457683\pi\)
0.908772 0.417294i \(-0.137021\pi\)
\(224\) 12.3829 24.3606i 0.827369 1.62766i
\(225\) 23.7952 33.0616i 1.58634 2.20411i
\(226\) −5.71806 + 5.81027i −0.380360 + 0.386493i
\(227\) −7.02562 11.8745i −0.466307 0.788136i 0.531974 0.846761i \(-0.321451\pi\)
−0.998280 + 0.0586250i \(0.981328\pi\)
\(228\) −12.4177 + 50.7566i −0.822380 + 3.36143i
\(229\) −1.71641 + 7.88470i −0.113424 + 0.521035i 0.885034 + 0.465526i \(0.154135\pi\)
−0.998458 + 0.0555099i \(0.982322\pi\)
\(230\) 19.8607 19.1738i 1.30957 1.26428i
\(231\) 15.1068 9.67137i 0.993958 0.636330i
\(232\) 0.0476946 14.9083i 0.00313130 0.978780i
\(233\) 19.0015 11.6567i 1.24483 0.763656i 0.265148 0.964208i \(-0.414579\pi\)
0.979683 + 0.200552i \(0.0642736\pi\)
\(234\) −54.6417 40.1285i −3.57204 2.62328i
\(235\) −24.1968 7.33473i −1.57842 0.478465i
\(236\) 21.4074 + 18.8902i 1.39350 + 1.22965i
\(237\) 32.8617 + 12.5461i 2.13460 + 0.814958i
\(238\) 22.0990 + 7.63653i 1.43246 + 0.495003i
\(239\) 4.96424 + 6.12097i 0.321110 + 0.395933i 0.911577 0.411128i \(-0.134865\pi\)
−0.590468 + 0.807061i \(0.701057\pi\)
\(240\) 12.1242 + 12.9673i 0.782611 + 0.837037i
\(241\) −18.5432 0.118648i −1.19447 0.00764276i −0.592104 0.805862i \(-0.701703\pi\)
−0.602368 + 0.798219i \(0.705776\pi\)
\(242\) 7.77510 16.0512i 0.499802 1.03181i
\(243\) −10.9420 + 7.20409i −0.701928 + 0.462142i
\(244\) 5.82687 + 25.9664i 0.373027 + 1.66233i
\(245\) −24.5202 + 3.31464i −1.56654 + 0.211764i
\(246\) 59.6582 44.9989i 3.80367 2.86903i
\(247\) 2.40989 + 39.5977i 0.153338 + 2.51954i
\(248\) 8.57710 + 3.40099i 0.544647 + 0.215963i
\(249\) −43.4539 9.31393i −2.75378 0.590246i
\(250\) 11.5182 20.6563i 0.728476 1.30642i
\(251\) 2.53877 8.47277i 0.160246 0.534796i −0.839721 0.543019i \(-0.817281\pi\)
0.999966 + 0.00822235i \(0.00261728\pi\)
\(252\) −46.1222 26.6943i −2.90543 1.68158i
\(253\) 0.245857 + 5.90813i 0.0154569 + 0.371441i
\(254\) 1.35388 0.0954465i 0.0849501 0.00598885i
\(255\) −18.5011 + 22.8121i −1.15858 + 1.42855i
\(256\) 2.78771 1.73480i 0.174232 0.108425i
\(257\) −16.9407 + 11.7859i −1.05673 + 0.735184i −0.965436 0.260640i \(-0.916066\pi\)
−0.0912964 + 0.995824i \(0.529101\pi\)
\(258\) −11.8555 2.46188i −0.738090 0.153270i
\(259\) −0.656022 + 3.55757i −0.0407632 + 0.221057i
\(260\) −53.3374 30.4164i −3.30785 1.88634i
\(261\) 42.8111 + 2.46802i 2.64994 + 0.152766i
\(262\) −13.0410 + 12.7522i −0.805679 + 0.787835i
\(263\) 2.47330 + 10.1095i 0.152510 + 0.623377i 0.996242 + 0.0866123i \(0.0276041\pi\)
−0.843732 + 0.536764i \(0.819646\pi\)
\(264\) 8.53307 0.218438i 0.525174 0.0134439i
\(265\) 1.20632 + 7.63219i 0.0741035 + 0.468842i
\(266\) 9.00996 + 52.6282i 0.552436 + 3.22684i
\(267\) −9.49756 18.3920i −0.581241 1.12557i
\(268\) 19.6287 1.25763i 1.19901 0.0768219i
\(269\) 18.0518 + 20.3259i 1.10064 + 1.23929i 0.968754 + 0.248025i \(0.0797814\pi\)
0.131886 + 0.991265i \(0.457897\pi\)
\(270\) 36.1429 30.2837i 2.19958 1.84301i
\(271\) 8.86938 0.170269i 0.538776 0.0103431i 0.250904 0.968012i \(-0.419272\pi\)
0.287872 + 0.957669i \(0.407052\pi\)
\(272\) −3.17120 3.80944i −0.192282 0.230981i
\(273\) −62.6676 14.2733i −3.79282 0.863862i
\(274\) 9.41770 1.83027i 0.568944 0.110571i
\(275\) 4.46025 + 12.7747i 0.268963 + 0.770346i
\(276\) 24.2433 13.8251i 1.45928 0.832171i
\(277\) −7.00211 + 3.47513i −0.420716 + 0.208801i −0.642484 0.766299i \(-0.722096\pi\)
0.221768 + 0.975099i \(0.428817\pi\)
\(278\) 2.84999 + 2.97105i 0.170931 + 0.178192i
\(279\) −11.1092 + 24.1027i −0.665089 + 1.44299i
\(280\) −21.8151 9.46844i −1.30370 0.565848i
\(281\) −2.04361 4.50955i −0.121912 0.269017i 0.839894 0.542751i \(-0.182617\pi\)
−0.961806 + 0.273734i \(0.911741\pi\)
\(282\) −37.4517 22.6466i −2.23022 1.34859i
\(283\) 17.9784 + 14.2970i 1.06870 + 0.849868i 0.989142 0.146962i \(-0.0469494\pi\)
0.0795615 + 0.996830i \(0.474648\pi\)
\(284\) 8.64150 0.331911i 0.512778 0.0196953i
\(285\) −65.9998 11.9523i −3.90949 0.707992i
\(286\) 21.3312 7.21879i 1.26134 0.426856i
\(287\) 21.9673 38.8093i 1.29669 2.29084i
\(288\) 18.0073 + 32.7850i 1.06109 + 1.93188i
\(289\) −5.92675 + 6.50380i −0.348633 + 0.382576i
\(290\) 66.3897 3.82730i 3.89854 0.224747i
\(291\) −7.37019 3.65781i −0.432048 0.214425i
\(292\) 6.18271 + 19.7128i 0.361816 + 1.15361i
\(293\) 2.75319 0.720435i 0.160843 0.0420883i −0.171852 0.985123i \(-0.554975\pi\)
0.332695 + 0.943035i \(0.392042\pi\)
\(294\) −42.5465 4.92188i −2.48136 0.287050i
\(295\) −22.5337 + 28.9011i −1.31196 + 1.68269i
\(296\) −1.14314 + 1.28714i −0.0664434 + 0.0748134i
\(297\) −0.290774 + 10.0961i −0.0168724 + 0.585837i
\(298\) −15.0947 1.06415i −0.874414 0.0616448i
\(299\) 14.4706 15.4769i 0.836854 0.895053i
\(300\) 43.9122 46.3678i 2.53527 2.67704i
\(301\) −7.07511 + 1.46920i −0.407803 + 0.0846832i
\(302\) −1.09964 49.0955i −0.0632772 2.82513i
\(303\) −15.9493 34.6041i −0.916266 1.98795i
\(304\) 4.13855 10.5354i 0.237362 0.604247i
\(305\) −32.8150 + 9.49039i −1.87898 + 0.543418i
\(306\) −25.6731 + 19.1082i −1.46764 + 1.09234i
\(307\) 17.4677 17.3009i 0.996936 0.987413i −0.00298498 0.999996i \(-0.500950\pi\)
0.999921 + 0.0125822i \(0.00400514\pi\)
\(308\) 16.0526 7.46114i 0.914680 0.425138i
\(309\) 3.10159 + 3.77468i 0.176444 + 0.214734i
\(310\) −12.8182 + 39.1096i −0.728028 + 2.22128i
\(311\) −15.0236 + 10.0298i −0.851912 + 0.568736i −0.902845 0.429966i \(-0.858526\pi\)
0.0509338 + 0.998702i \(0.483780\pi\)
\(312\) −22.0042 21.2432i −1.24574 1.20266i
\(313\) −15.0670 3.02835i −0.851638 0.171172i −0.248325 0.968677i \(-0.579880\pi\)
−0.603313 + 0.797504i \(0.706153\pi\)
\(314\) 38.7869 17.4279i 2.18887 0.983511i
\(315\) 30.6055 61.1753i 1.72442 3.44684i
\(316\) 30.4790 + 16.6141i 1.71458 + 0.934614i
\(317\) −2.36674 + 1.19354i −0.132929 + 0.0670359i −0.515496 0.856892i \(-0.672392\pi\)
0.382567 + 0.923928i \(0.375040\pi\)
\(318\) −1.23913 + 13.3177i −0.0694867 + 0.746821i
\(319\) −8.83030 + 11.1773i −0.494402 + 0.625807i
\(320\) 26.3586 + 37.1220i 1.47349 + 2.07518i
\(321\) −15.1195 + 17.2452i −0.843890 + 0.962531i
\(322\) 17.0998 22.8219i 0.952933 1.27181i
\(323\) 18.2052 + 4.39225i 1.01297 + 0.244391i
\(324\) 4.26728 2.05021i 0.237071 0.113901i
\(325\) 21.4147 43.4978i 1.18788 2.41283i
\(326\) −2.78897 + 37.8349i −0.154467 + 2.09548i
\(327\) 0.00703495 + 0.0368273i 0.000389034 + 0.00203655i
\(328\) 18.5015 10.3944i 1.02157 0.573934i
\(329\) −25.8835 3.49893i −1.42700 0.192902i
\(330\) 3.28473 + 37.9329i 0.180818 + 2.08814i
\(331\) 29.7667 + 12.4695i 1.63613 + 0.685384i 0.996523 0.0833200i \(-0.0265524\pi\)
0.639604 + 0.768704i \(0.279098\pi\)
\(332\) −41.2652 14.8534i −2.26472 0.815186i
\(333\) −3.51808 3.48448i −0.192790 0.190948i
\(334\) 38.1238 + 5.40217i 2.08604 + 0.295594i
\(335\) 3.14189 + 25.0510i 0.171660 + 1.36869i
\(336\) 14.4982 + 11.2296i 0.790942 + 0.612627i
\(337\) −7.26251 + 11.5876i −0.395614 + 0.631216i −0.984167 0.177243i \(-0.943282\pi\)
0.588553 + 0.808459i \(0.299698\pi\)
\(338\) −46.5957 23.4981i −2.53447 1.27813i
\(339\) −6.01367 8.70314i −0.326618 0.472690i
\(340\) −21.1092 + 19.8636i −1.14481 + 1.07725i
\(341\) −4.44047 7.61591i −0.240465 0.412424i
\(342\) −66.4710 30.3797i −3.59434 1.64274i
\(343\) 0.482674 0.146312i 0.0260619 0.00790011i
\(344\) −3.24282 1.14387i −0.174841 0.0616732i
\(345\) 19.6037 + 29.9836i 1.05543 + 1.61426i
\(346\) 3.46114 25.0012i 0.186072 1.34407i
\(347\) 7.05899 + 3.11764i 0.378946 + 0.167364i 0.584719 0.811236i \(-0.301205\pi\)
−0.205772 + 0.978600i \(0.565971\pi\)
\(348\) 65.9939 + 12.8255i 3.53764 + 0.687517i
\(349\) 0.778180 + 5.36802i 0.0416550 + 0.287343i 0.999999 + 0.00172533i \(0.000549190\pi\)
−0.958344 + 0.285618i \(0.907801\pi\)
\(350\) 22.2967 61.3275i 1.19181 3.27809i
\(351\) 26.5148 24.6322i 1.41526 1.31477i
\(352\) −12.3516 1.34883i −0.658343 0.0718931i
\(353\) −22.7116 22.7844i −1.20882 1.21269i −0.970393 0.241530i \(-0.922351\pi\)
−0.238425 0.971161i \(-0.576631\pi\)
\(354\) −50.1520 + 38.8454i −2.66555 + 2.06461i
\(355\) 1.09909 + 11.0460i 0.0583334 + 0.586260i
\(356\) −6.85685 19.2424i −0.363412 1.01985i
\(357\) −15.1146 + 26.3086i −0.799948 + 1.39240i
\(358\) 25.4427 26.1860i 1.34469 1.38398i
\(359\) −2.15512 + 1.12164i −0.113743 + 0.0591979i −0.517591 0.855628i \(-0.673171\pi\)
0.403849 + 0.914826i \(0.367672\pi\)
\(360\) 27.5263 17.3750i 1.45076 0.915743i
\(361\) 6.23692 + 22.9338i 0.328259 + 1.20704i
\(362\) −49.5332 + 7.01890i −2.60341 + 0.368905i
\(363\) 18.5663 + 13.8186i 0.974476 + 0.725291i
\(364\) −59.3999 22.2436i −3.11340 1.16588i
\(365\) −24.7748 + 9.45868i −1.29677 + 0.495090i
\(366\) −59.1000 + 1.89136i −3.08921 + 0.0988630i
\(367\) −0.647308 5.75684i −0.0337892 0.300505i −0.999208 0.0397996i \(-0.987328\pi\)
0.965418 0.260705i \(-0.0839550\pi\)
\(368\) −5.60543 + 2.26428i −0.292203 + 0.118034i
\(369\) 26.9611 + 54.7637i 1.40354 + 2.85088i
\(370\) −6.04052 4.74084i −0.314031 0.246465i
\(371\) 2.48602 + 7.58507i 0.129068 + 0.393797i
\(372\) −22.3214 + 35.1133i −1.15731 + 1.82054i
\(373\) 0.206975 4.97377i 0.0107168 0.257532i −0.985445 0.169997i \(-0.945624\pi\)
0.996161 0.0875355i \(-0.0278991\pi\)
\(374\) −0.306048 10.6265i −0.0158254 0.549482i
\(375\) 23.5246 + 19.7110i 1.21481 + 1.01787i
\(376\) −9.67843 7.79821i −0.499127 0.402162i
\(377\) 50.7384 5.54079i 2.61316 0.285365i
\(378\) 31.8769 36.8312i 1.63957 1.89439i
\(379\) −3.51141 1.08899i −0.180369 0.0559376i 0.204703 0.978824i \(-0.434377\pi\)
−0.385072 + 0.922887i \(0.625823\pi\)
\(380\) −62.9655 20.4142i −3.23006 1.04723i
\(381\) −0.207994 + 1.74894i −0.0106558 + 0.0896009i
\(382\) 22.0849 21.0498i 1.12996 1.07700i
\(383\) 7.25336 + 13.6159i 0.370629 + 0.695739i 0.996446 0.0842307i \(-0.0268433\pi\)
−0.625817 + 0.779970i \(0.715234\pi\)
\(384\) 13.3229 + 34.5639i 0.679879 + 1.76383i
\(385\) 10.8112 + 19.9855i 0.550992 + 1.01855i
\(386\) −7.61034 + 4.02292i −0.387356 + 0.204761i
\(387\) 3.79237 9.13492i 0.192777 0.464354i
\(388\) −6.72424 4.55157i −0.341372 0.231071i
\(389\) −3.86470 1.41909i −0.195948 0.0719509i 0.244834 0.969565i \(-0.421266\pi\)
−0.440782 + 0.897614i \(0.645299\pi\)
\(390\) 88.6192 103.726i 4.48741 5.25238i
\(391\) −4.98265 8.67288i −0.251984 0.438606i
\(392\) −11.7866 3.00378i −0.595312 0.151714i
\(393\) −13.0791 19.7275i −0.659751 0.995122i
\(394\) −0.277753 + 4.56386i −0.0139930 + 0.229924i
\(395\) −18.9100 + 40.3466i −0.951467 + 2.03006i
\(396\) −3.93577 + 23.9080i −0.197780 + 1.20142i
\(397\) 0.318095 4.72764i 0.0159647 0.237274i −0.982683 0.185293i \(-0.940677\pi\)
0.998648 0.0519809i \(-0.0165535\pi\)
\(398\) −14.2823 17.8424i −0.715906 0.894359i
\(399\) −69.2753 1.32991i −3.46811 0.0665787i
\(400\) −10.7720 + 8.67935i −0.538601 + 0.433968i
\(401\) −4.10756 + 4.12072i −0.205122 + 0.205779i −0.803284 0.595596i \(-0.796916\pi\)
0.598163 + 0.801375i \(0.295898\pi\)
\(402\) −5.43858 + 43.3631i −0.271252 + 2.16276i
\(403\) −8.28955 + 30.4815i −0.412932 + 1.51839i
\(404\) −11.0232 35.9502i −0.548425 1.78859i
\(405\) 2.95956 + 5.30756i 0.147062 + 0.263735i
\(406\) 67.0767 14.8268i 3.32896 0.735841i
\(407\) 1.61849 0.293101i 0.0802255 0.0145285i
\(408\) −12.6329 + 6.99137i −0.625421 + 0.346124i
\(409\) 5.90326 + 6.56186i 0.291897 + 0.324463i 0.871462 0.490463i \(-0.163172\pi\)
−0.579564 + 0.814926i \(0.696777\pi\)
\(410\) 51.2925 + 79.5580i 2.53316 + 3.92909i
\(411\) 0.0398291 + 12.4497i 0.00196462 + 0.614100i
\(412\) 2.53424 + 4.10155i 0.124853 + 0.202069i
\(413\) −18.2253 + 33.1819i −0.896809 + 1.63277i
\(414\) 12.6308 + 36.9338i 0.620768 + 1.81520i
\(415\) 15.8131 54.0289i 0.776236 2.65218i
\(416\) 27.5988 + 34.9342i 1.35314 + 1.71279i
\(417\) −4.48092 + 2.90927i −0.219432 + 0.142467i
\(418\) 20.9333 12.2951i 1.02388 0.601372i
\(419\) 6.42049 5.44996i 0.313662 0.266248i −0.476462 0.879195i \(-0.658081\pi\)
0.790124 + 0.612947i \(0.210016\pi\)
\(420\) 60.3972 88.6155i 2.94708 4.32399i
\(421\) −10.1186 + 1.03951i −0.493151 + 0.0506628i −0.345581 0.938389i \(-0.612318\pi\)
−0.147570 + 0.989052i \(0.547145\pi\)
\(422\) −13.2761 2.14193i −0.646270 0.104267i
\(423\) 23.9107 26.5783i 1.16258 1.29228i
\(424\) −0.855379 + 3.70085i −0.0415409 + 0.179729i
\(425\) −16.6684 15.6848i −0.808536 0.760825i
\(426\) −2.87831 + 18.9981i −0.139454 + 0.920461i
\(427\) −31.9043 + 15.0779i −1.54396 + 0.729670i
\(428\) −17.0662 + 14.8664i −0.824928 + 0.718593i
\(429\) 4.00741 + 28.9471i 0.193480 + 1.39758i
\(430\) 4.21418 14.7480i 0.203226 0.711213i
\(431\) 1.48112 + 7.49307i 0.0713431 + 0.360928i 0.999949 0.0101402i \(-0.00322777\pi\)
−0.928606 + 0.371068i \(0.878992\pi\)
\(432\) −9.82282 + 3.18468i −0.472601 + 0.153223i
\(433\) 17.0003 0.217559i 0.816980 0.0104552i 0.396810 0.917901i \(-0.370117\pi\)
0.420170 + 0.907445i \(0.361970\pi\)
\(434\) −6.63748 + 41.9944i −0.318609 + 2.01579i
\(435\) −11.2866 + 85.5543i −0.541153 + 4.10201i
\(436\) 0.00201132 + 0.0369459i 9.63250e−5 + 0.00176939i
\(437\) 11.8816 19.5079i 0.568375 0.933191i
\(438\) −45.6001 + 5.27513i −2.17886 + 0.252055i
\(439\) 32.9219 12.8111i 1.57128 0.611438i 0.590581 0.806978i \(-0.298898\pi\)
0.980696 + 0.195540i \(0.0626459\pi\)
\(440\) −0.518683 + 10.8004i −0.0247272 + 0.514887i
\(441\) 10.4701 33.3828i 0.498578 1.58966i
\(442\) −26.3692 + 27.4893i −1.25426 + 1.30753i
\(443\) 4.70104 + 11.9673i 0.223353 + 0.568585i 0.997959 0.0638596i \(-0.0203410\pi\)
−0.774606 + 0.632444i \(0.782052\pi\)
\(444\) −4.73396 6.15242i −0.224664 0.291981i
\(445\) 24.1195 10.2857i 1.14338 0.487590i
\(446\) 32.9062 + 46.9771i 1.55815 + 2.22443i
\(447\) 5.03177 18.9811i 0.237995 0.897775i
\(448\) 32.9893 + 33.5213i 1.55860 + 1.58373i
\(449\) −3.05474 + 0.472811i −0.144162 + 0.0223133i −0.224631 0.974444i \(-0.572118\pi\)
0.0804691 + 0.996757i \(0.474358\pi\)
\(450\) 52.1764 + 72.4953i 2.45962 + 3.41746i
\(451\) −20.0377 3.10142i −0.943540 0.146040i
\(452\) −4.73060 9.30640i −0.222509 0.437736i
\(453\) 62.8464 + 10.5525i 2.95278 + 0.495799i
\(454\) 29.5816 6.34055i 1.38834 0.297577i
\(455\) 23.8677 77.8402i 1.11894 3.64920i
\(456\) −27.8821 17.5995i −1.30570 0.824174i
\(457\) −2.86585 0.238929i −0.134059 0.0111766i 0.0158651 0.999874i \(-0.494950\pi\)
−0.149924 + 0.988698i \(0.547903\pi\)
\(458\) −15.1993 9.05855i −0.710216 0.423278i
\(459\) −7.44795 15.3758i −0.347640 0.717683i
\(460\) 15.2079 + 31.9146i 0.709070 + 1.48803i
\(461\) −3.36444 + 8.40633i −0.156698 + 0.391522i −0.985879 0.167457i \(-0.946444\pi\)
0.829182 + 0.558979i \(0.188807\pi\)
\(462\) 9.59124 + 38.1447i 0.446225 + 1.77465i
\(463\) 11.4419 10.2275i 0.531750 0.475310i −0.356742 0.934203i \(-0.616112\pi\)
0.888492 + 0.458893i \(0.151754\pi\)
\(464\) −13.7945 4.66826i −0.640395 0.216718i
\(465\) −46.7293 25.8612i −2.16702 1.19929i
\(466\) 11.0076 + 47.6250i 0.509917 + 2.20619i
\(467\) −21.2173 + 36.3902i −0.981822 + 1.68394i −0.297554 + 0.954705i \(0.596171\pi\)
−0.684268 + 0.729231i \(0.739878\pi\)
\(468\) 70.9493 50.0371i 3.27963 2.31297i
\(469\) 7.32603 + 25.0309i 0.338284 + 1.15582i
\(470\) 32.0977 45.2046i 1.48056 2.08513i
\(471\) 12.7700 + 53.6824i 0.588410 + 2.47355i
\(472\) −15.5920 + 9.02425i −0.717682 + 0.415375i
\(473\) 1.76259 + 2.77270i 0.0810442 + 0.127489i
\(474\) −48.9664 + 59.5928i −2.24910 + 2.73719i
\(475\) 13.0695 50.6066i 0.599671 2.32199i
\(476\) −18.2596 + 23.7308i −0.836927 + 1.08770i
\(477\) −10.4956 3.03541i −0.480559 0.138982i
\(478\) −16.1834 + 6.06024i −0.740212 + 0.277189i
\(479\) 20.8459 18.3947i 0.952473 0.840477i −0.0348185 0.999394i \(-0.511085\pi\)
0.987292 + 0.158917i \(0.0508002\pi\)
\(480\) −68.4616 + 31.2895i −3.12483 + 1.42816i
\(481\) −4.81632 3.39672i −0.219605 0.154877i
\(482\) 13.1573 38.4735i 0.599299 1.75242i
\(483\) 24.9259 + 27.3527i 1.13417 + 1.24459i
\(484\) 16.3303 + 15.9687i 0.742288 + 0.725849i
\(485\) 5.30735 8.97030i 0.240994 0.407320i
\(486\) −7.36087 27.7670i −0.333896 1.25954i
\(487\) −4.41863 + 5.23938i −0.200227 + 0.237419i −0.855283 0.518161i \(-0.826617\pi\)
0.655056 + 0.755581i \(0.272645\pi\)
\(488\) −16.7044 1.71609i −0.756173 0.0776838i
\(489\) −47.5464 12.7672i −2.15012 0.577353i
\(490\) 10.1801 53.2916i 0.459888 2.40747i
\(491\) −5.38149 16.0712i −0.242863 0.725285i −0.997599 0.0692558i \(-0.977938\pi\)
0.754736 0.656029i \(-0.227765\pi\)
\(492\) 30.3859 + 90.7443i 1.36990 + 4.09107i
\(493\) 4.52094 23.6667i 0.203613 1.06589i
\(494\) −84.0118 22.5589i −3.77987 1.01497i
\(495\) −30.9389 3.17844i −1.39060 0.142860i
\(496\) 5.81062 6.88993i 0.260904 0.309367i
\(497\) 2.93836 + 11.0842i 0.131803 + 0.497195i
\(498\) 49.6206 83.8672i 2.22355 3.75818i
\(499\) −1.27902 1.25070i −0.0572570 0.0559889i 0.669956 0.742401i \(-0.266313\pi\)
−0.727213 + 0.686412i \(0.759185\pi\)
\(500\) 20.4005 + 22.3867i 0.912336 + 1.00116i
\(501\) −16.1684 + 47.2784i −0.722351 + 2.11224i
\(502\) 15.8495 + 11.1779i 0.707397 + 0.498893i
\(503\) −9.53596 + 4.35828i −0.425187 + 0.194326i −0.616758 0.787153i \(-0.711554\pi\)
0.191571 + 0.981479i \(0.438642\pi\)
\(504\) 25.2134 22.2487i 1.12309 0.991036i
\(505\) 45.2014 16.9267i 2.01144 0.753227i
\(506\) −12.4557 3.60231i −0.553724 0.160142i
\(507\) 41.2969 53.6708i 1.83406 2.38361i
\(508\) −0.434623 + 1.68291i −0.0192833 + 0.0746670i
\(509\) 1.16459 1.41732i 0.0516196 0.0628218i −0.746181 0.665743i \(-0.768115\pi\)
0.797801 + 0.602921i \(0.205997\pi\)
\(510\) −34.5510 54.3513i −1.52994 2.40672i
\(511\) −23.7099 + 13.7226i −1.04886 + 0.607054i
\(512\) −4.35924 18.3253i −0.192653 0.809872i
\(513\) 22.5878 31.8115i 0.997278 1.40451i
\(514\) −12.7111 43.4300i −0.560660 1.91562i
\(515\) −5.05748 + 3.56680i −0.222859 + 0.157172i
\(516\) 7.81039 13.3957i 0.343833 0.589713i
\(517\) 2.67432 + 11.5706i 0.117616 + 0.508875i
\(518\) −6.94036 3.84098i −0.304942 0.168763i
\(519\) 31.0246 + 10.4992i 1.36183 + 0.460862i
\(520\) 28.8861 25.8202i 1.26674 1.13229i
\(521\) −5.76926 22.9446i −0.252756 1.00522i −0.955787 0.294061i \(-0.904993\pi\)
0.703031 0.711159i \(-0.251830\pi\)
\(522\) −34.9387 + 87.2971i −1.52922 + 3.82089i
\(523\) 5.72284 + 12.0097i 0.250242 + 0.525148i 0.988837 0.149001i \(-0.0476059\pi\)
−0.738595 + 0.674150i \(0.764510\pi\)
\(524\) −10.1829 21.0219i −0.444841 0.918347i
\(525\) 72.7409 + 43.3525i 3.17468 + 1.89206i
\(526\) −22.7422 1.89604i −0.991609 0.0826714i
\(527\) 12.6101 + 7.95967i 0.549304 + 0.346729i
\(528\) 2.44435 7.97178i 0.106376 0.346927i
\(529\) 10.5607 2.26358i 0.459159 0.0984163i
\(530\) −16.7092 2.80563i −0.725801 0.121869i
\(531\) −23.4808 46.1933i −1.01898 2.00462i
\(532\) −67.5732 10.4589i −2.92967 0.453451i
\(533\) 42.4407 + 58.9682i 1.83831 + 2.55420i
\(534\) 44.8545 6.94253i 1.94104 0.300433i
\(535\) −20.3782 20.7068i −0.881026 0.895233i
\(536\) −3.18026 + 11.9967i −0.137366 + 0.518180i
\(537\) 27.1826 + 38.8060i 1.17301 + 1.67460i
\(538\) −54.8312 + 23.3827i −2.36394 + 1.00810i
\(539\) 7.08708 + 9.21062i 0.305262 + 0.396730i
\(540\) 22.0785 + 56.2046i 0.950105 + 2.41866i
\(541\) 15.3753 16.0284i 0.661036 0.689116i −0.303571 0.952809i \(-0.598179\pi\)
0.964607 + 0.263693i \(0.0849406\pi\)
\(542\) −5.82122 + 18.5603i −0.250043 + 0.797233i
\(543\) 3.11418 64.8455i 0.133642 2.78279i
\(544\) 19.5863 7.62171i 0.839757 0.326778i
\(545\) −0.0471799 + 0.00545788i −0.00202096 + 0.000233790i
\(546\) 73.3100 120.364i 3.13738 5.15112i
\(547\) 0.143673 + 2.63913i 0.00614303 + 0.112841i 0.999998 + 0.00214811i \(0.000683767\pi\)
−0.993855 + 0.110693i \(0.964693\pi\)
\(548\) −1.60692 + 12.1807i −0.0686443 + 0.520334i
\(549\) 7.54069 47.7088i 0.321829 2.03616i
\(550\) −29.6674 + 0.379666i −1.26502 + 0.0161890i
\(551\) 52.3409 16.9696i 2.22980 0.722928i
\(552\) 3.41485 + 17.2759i 0.145346 + 0.735311i
\(553\) −12.6466 + 44.2582i −0.537787 + 1.88205i
\(554\) −2.35052 16.9788i −0.0998641 0.721358i
\(555\) 7.51361 6.54509i 0.318935 0.277824i
\(556\) −4.76681 + 2.25278i −0.202158 + 0.0955392i
\(557\) 5.58998 36.8964i 0.236855 1.56335i −0.487003 0.873400i \(-0.661910\pi\)
0.723858 0.689949i \(-0.242367\pi\)
\(558\) −42.3811 39.8803i −1.79414 1.68827i
\(559\) 2.65108 11.4701i 0.112129 0.485133i
\(560\) −15.5368 + 17.2702i −0.656549 + 0.729798i
\(561\) 13.6193 + 2.19731i 0.575009 + 0.0927704i
\(562\) 10.7994 1.10945i 0.455544 0.0467993i
\(563\) −17.6298 + 25.8667i −0.743009 + 1.09015i 0.249547 + 0.968363i \(0.419718\pi\)
−0.992556 + 0.121788i \(0.961137\pi\)
\(564\) 42.7301 36.2709i 1.79926 1.52728i
\(565\) 11.5549 6.78673i 0.486118 0.285520i
\(566\) −42.2445 + 27.4275i −1.77567 + 1.15286i
\(567\) 3.89155 + 4.92586i 0.163430 + 0.206867i
\(568\) −1.53279 + 5.23712i −0.0643146 + 0.219744i
\(569\) −12.2839 35.9197i −0.514969 1.50583i −0.830557 0.556934i \(-0.811978\pi\)
0.315588 0.948896i \(-0.397798\pi\)
\(570\) 70.8039 128.909i 2.96565 5.39940i
\(571\) 3.76444 + 6.09258i 0.157537 + 0.254967i 0.919874 0.392213i \(-0.128290\pi\)
−0.762337 + 0.647180i \(0.775948\pi\)
\(572\) 0.0922618 + 28.8391i 0.00385766 + 1.20582i
\(573\) 21.4533 + 33.2755i 0.896224 + 1.39010i
\(574\) 65.4000 + 72.6964i 2.72974 + 3.03429i
\(575\) −24.4246 + 13.5172i −1.01858 + 0.563707i
\(576\) −63.3454 + 11.4716i −2.63939 + 0.477982i
\(577\) −33.8293 + 7.47771i −1.40833 + 0.311301i −0.853688 0.520785i \(-0.825639\pi\)
−0.554646 + 0.832086i \(0.687146\pi\)
\(578\) −9.39661 16.8515i −0.390848 0.700930i
\(579\) −3.27472 10.6799i −0.136093 0.443841i
\(580\) −22.3484 + 82.1772i −0.927966 + 3.41222i
\(581\) 7.23699 57.7023i 0.300241 2.39390i
\(582\) 12.7370 12.7778i 0.527966 0.529658i
\(583\) 2.82606 2.27704i 0.117043 0.0943056i
\(584\) −13.0339 0.250217i −0.539345 0.0103540i
\(585\) 69.6421 + 87.0017i 2.87935 + 3.59708i
\(586\) −0.418924 + 6.22620i −0.0173056 + 0.257202i
\(587\) −3.44733 + 20.9409i −0.142286 + 0.864325i 0.815903 + 0.578189i \(0.196240\pi\)
−0.958189 + 0.286136i \(0.907629\pi\)
\(588\) 23.2776 49.6653i 0.959953 2.04816i
\(589\) −2.06866 + 33.9908i −0.0852375 + 1.40056i
\(590\) −44.4039 66.9756i −1.82808 2.75734i
\(591\) −5.74960 1.46527i −0.236507 0.0602733i
\(592\) 0.837689 + 1.45809i 0.0344288 + 0.0599273i
\(593\) 11.8739 13.8981i 0.487604 0.570726i −0.460916 0.887444i \(-0.652479\pi\)
0.948520 + 0.316718i \(0.102581\pi\)
\(594\) −20.7900 7.63398i −0.853026 0.313226i
\(595\) −31.8287 21.5446i −1.30485 0.883241i
\(596\) 7.43024 17.8977i 0.304354 0.733118i
\(597\) 26.2200 13.8602i 1.07311 0.567262i
\(598\) 22.1055 + 40.8638i 0.903960 + 1.67104i
\(599\) 2.23011 + 5.78564i 0.0911198 + 0.236395i 0.971126 0.238567i \(-0.0766777\pi\)
−0.880006 + 0.474962i \(0.842462\pi\)
\(600\) 18.9459 + 35.5649i 0.773462 + 1.45193i
\(601\) −14.1526 + 13.4893i −0.577299 + 0.550239i −0.921361 0.388707i \(-0.872922\pi\)
0.344063 + 0.938947i \(0.388197\pi\)
\(602\) 1.87116 15.7339i 0.0762630 0.641267i
\(603\) −33.9589 11.0099i −1.38291 0.448357i
\(604\) 60.0666 + 18.6284i 2.44408 + 0.757977i
\(605\) −19.1864 + 22.1683i −0.780038 + 0.901270i
\(606\) 83.0555 9.06991i 3.37390 0.368440i
\(607\) 1.63708 + 1.31905i 0.0664470 + 0.0535384i 0.660065 0.751209i \(-0.270529\pi\)
−0.593618 + 0.804747i \(0.702301\pi\)
\(608\) 36.7882 + 30.8244i 1.49196 + 1.25010i
\(609\) 2.56636 + 89.1081i 0.103994 + 3.61084i
\(610\) 3.11428 74.8385i 0.126093 3.03012i
\(611\) 22.8282 35.9105i 0.923530 1.45278i
\(612\) −12.7647 38.9463i −0.515983 1.57431i
\(613\) 29.1648 + 22.8898i 1.17796 + 0.924509i 0.998246 0.0592106i \(-0.0188584\pi\)
0.179711 + 0.983719i \(0.442484\pi\)
\(614\) 23.8112 + 48.3656i 0.960942 + 1.95188i
\(615\) −113.896 + 46.0076i −4.59274 + 1.85521i
\(616\) 1.24809 + 11.0999i 0.0502870 + 0.447228i
\(617\) 13.6415 0.436565i 0.549186 0.0175754i 0.243837 0.969816i \(-0.421594\pi\)
0.305348 + 0.952241i \(0.401227\pi\)
\(618\) −10.0080 + 3.82092i −0.402582 + 0.153700i
\(619\) 17.9047 + 6.70481i 0.719650 + 0.269489i 0.683596 0.729861i \(-0.260415\pi\)
0.0360541 + 0.999350i \(0.488521\pi\)
\(620\) −42.2808 31.4691i −1.69804 1.26383i
\(621\) −20.6316 + 2.92352i −0.827919 + 0.117317i
\(622\) −10.3944 38.2212i −0.416777 1.53253i
\(623\) 22.9055 14.4583i 0.917690 0.579259i
\(624\) −26.5021 + 13.7932i −1.06094 + 0.552168i
\(625\) 0.755440 0.777511i 0.0302176 0.0311004i
\(626\) 16.7871 29.2198i 0.670946 1.16786i
\(627\) 10.5747 + 29.6759i 0.422313 + 1.18514i
\(628\) 5.39174 + 54.1878i 0.215154 + 2.16233i
\(629\) −2.19958 + 1.70369i −0.0877029 + 0.0679305i
\(630\) 105.891 + 106.230i 4.21878 + 4.23230i
\(631\) −45.1259 4.92788i −1.79643 0.196176i −0.851703 0.524025i \(-0.824430\pi\)
−0.944730 + 0.327849i \(0.893676\pi\)
\(632\) −16.0477 + 14.9083i −0.638343 + 0.593020i
\(633\) 5.96272 16.4006i 0.236997 0.651865i
\(634\) −0.833852 5.75206i −0.0331165 0.228443i
\(635\) −2.19011 0.425633i −0.0869117 0.0168907i
\(636\) −15.6686 6.92013i −0.621301 0.274401i
\(637\) 5.71042 41.2486i 0.226255 1.63433i
\(638\) −17.0924 26.1426i −0.676694 1.03500i
\(639\) −14.8020 5.22124i −0.585557 0.206549i
\(640\) −44.9061 + 13.6123i −1.77507 + 0.538074i
\(641\) −32.6862 14.9388i −1.29103 0.590046i −0.352681 0.935744i \(-0.614730\pi\)
−0.938346 + 0.345698i \(0.887642\pi\)
\(642\) −25.3303 43.4443i −0.999706 1.71461i
\(643\) −23.3372 + 21.9601i −0.920330 + 0.866022i −0.991322 0.131455i \(-0.958035\pi\)
0.0709923 + 0.997477i \(0.477383\pi\)
\(644\) 20.7606 + 30.0453i 0.818083 + 1.18395i
\(645\) 17.7722 + 8.96248i 0.699780 + 0.352897i
\(646\) −21.8079 + 34.7953i −0.858021 + 1.36900i
\(647\) −14.1946 10.9944i −0.558046 0.432236i 0.293922 0.955829i \(-0.405039\pi\)
−0.851968 + 0.523593i \(0.824591\pi\)
\(648\) 0.371755 + 2.96409i 0.0146039 + 0.116440i
\(649\) 17.0427 + 2.41497i 0.668985 + 0.0947958i
\(650\) 75.5334 + 74.8119i 2.96266 + 2.93437i
\(651\) −51.9112 18.6854i −2.03456 0.732339i
\(652\) −44.8110 18.7716i −1.75493 0.735153i
\(653\) −3.50027 40.4220i −0.136976 1.58183i −0.674299 0.738458i \(-0.735554\pi\)
0.537323 0.843377i \(-0.319436\pi\)
\(654\) −0.0814715 0.0110133i −0.00318579 0.000430655i
\(655\) 26.1402 14.6859i 1.02138 0.573827i
\(656\) −3.88958 20.3616i −0.151862 0.794985i
\(657\) 2.75660 37.3958i 0.107545 1.45895i
\(658\) 25.2964 51.3824i 0.986158 2.00310i
\(659\) −33.1866 + 15.9445i −1.29277 + 0.621109i −0.948206 0.317655i \(-0.897104\pi\)
−0.344561 + 0.938764i \(0.611972\pi\)
\(660\) −47.3997 11.4358i −1.84503 0.445138i
\(661\) 15.0826 20.1297i 0.586647 0.782956i −0.404668 0.914463i \(-0.632613\pi\)
0.991315 + 0.131507i \(0.0419817\pi\)
\(662\) −46.6522 + 53.2110i −1.81319 + 2.06810i
\(663\) −28.6182 40.3043i −1.11144 1.56529i
\(664\) 17.1553 21.7149i 0.665754 0.842701i
\(665\) 8.13136 87.3933i 0.315320 3.38897i
\(666\) 9.69459 4.88896i 0.375658 0.189443i
\(667\) −25.8030 14.0652i −0.999097 0.544605i
\(668\) −22.0624 + 44.0992i −0.853622 + 1.70625i
\(669\) −67.8907 + 30.5049i −2.62481 + 1.17939i
\(670\) −54.2752 10.9089i −2.09683 0.421446i
\(671\) 11.5430 + 11.1438i 0.445614 + 0.430202i
\(672\) −64.6712 + 43.1745i −2.49474 + 1.66549i
\(673\) −15.4316 + 47.0831i −0.594843 + 1.81492i −0.0154361 + 0.999881i \(0.504914\pi\)
−0.579407 + 0.815039i \(0.696716\pi\)
\(674\) −19.0371 23.1684i −0.733282 0.892415i
\(675\) −43.2396 + 20.0975i −1.66429 + 0.773554i
\(676\) 47.4823 47.0288i 1.82624 1.80880i
\(677\) −7.41319 + 5.51755i −0.284912 + 0.212057i −0.730030 0.683415i \(-0.760494\pi\)
0.445118 + 0.895472i \(0.353162\pi\)
\(678\) 22.2831 6.44447i 0.855776 0.247498i
\(679\) 3.93666 10.0215i 0.151075 0.384588i
\(680\) −7.65592 16.6105i −0.293591 0.636983i
\(681\) 0.879110 + 39.2495i 0.0336876 + 1.50404i
\(682\) 18.9271 3.93035i 0.724756 0.150501i
\(683\) −21.7605 + 22.9773i −0.832641 + 0.879203i −0.994188 0.107662i \(-0.965663\pi\)
0.161547 + 0.986865i \(0.448352\pi\)
\(684\) 63.9209 68.3663i 2.44408 2.61405i
\(685\) −15.7317 1.10906i −0.601079 0.0423751i
\(686\) −0.0318383 + 1.10547i −0.00121559 + 0.0422072i
\(687\) 15.2471 17.1678i 0.581714 0.654994i
\(688\) −2.06536 + 2.64897i −0.0787411 + 0.100991i
\(689\) −12.9180 1.49439i −0.492138 0.0569316i
\(690\) −75.9927 + 19.8852i −2.89299 + 0.757017i
\(691\) 6.24313 + 19.9055i 0.237500 + 0.757241i 0.994585 + 0.103925i \(0.0331401\pi\)
−0.757085 + 0.653316i \(0.773377\pi\)
\(692\) 28.9530 + 14.3693i 1.10063 + 0.546240i
\(693\) −32.0755 + 1.84912i −1.21845 + 0.0702421i
\(694\) −11.3972 + 12.5068i −0.432631 + 0.474753i
\(695\) −3.25806 5.93178i −0.123585 0.225005i
\(696\) −20.8965 + 36.9176i −0.792079 + 1.39936i
\(697\) 32.4876 10.9943i 1.23056 0.416437i
\(698\) −11.7033 2.11942i −0.442977 0.0802212i
\(699\) −63.3845 + 2.43454i −2.39742 + 0.0920826i
\(700\) 65.4070 + 52.0138i 2.47215 + 1.96594i
\(701\) 16.8851 + 10.2103i 0.637743 + 0.385636i 0.799047 0.601269i \(-0.205338\pi\)
−0.161304 + 0.986905i \(0.551570\pi\)
\(702\) 32.7560 + 72.2813i 1.23630 + 2.72808i
\(703\) −5.82823 2.52963i −0.219816 0.0954068i
\(704\) 8.95113 19.4206i 0.337359 0.731941i
\(705\) 49.8038 + 51.9194i 1.87572 + 1.95540i
\(706\) 63.1876 31.3599i 2.37809 1.18024i
\(707\) 43.3128 24.6997i 1.62895 0.928927i
\(708\) −26.7788 76.6982i −1.00641 2.88249i
\(709\) 27.1250 5.27157i 1.01870 0.197978i 0.346268 0.938136i \(-0.387449\pi\)
0.672434 + 0.740157i \(0.265249\pi\)
\(710\) −23.7327 5.40542i −0.890672 0.202862i
\(711\) −40.3093 48.4220i −1.51172 1.81597i
\(712\) 12.8875 0.247406i 0.482978 0.00927194i
\(713\) 13.9410 11.6810i 0.522095 0.437457i
\(714\) −44.1790 49.7444i −1.65336 1.86164i
\(715\) −36.9427 + 2.36696i −1.38158 + 0.0885192i
\(716\) 21.4534 + 41.5446i 0.801752 + 1.55259i
\(717\) −3.78412 22.1035i −0.141321 0.825469i
\(718\) −0.831691 5.26199i −0.0310384 0.196376i
\(719\) 15.3307 0.392452i 0.571740 0.0146360i 0.261348 0.965245i \(-0.415833\pi\)
0.310392 + 0.950609i \(0.399540\pi\)
\(720\) −7.55637 30.8863i −0.281609 1.15106i
\(721\) −4.57091 + 4.46968i −0.170230 + 0.166460i
\(722\) −52.0277 2.99934i −1.93627 0.111624i
\(723\) 45.8359 + 26.1385i 1.70465 + 0.972101i
\(724\) 11.6182 63.0051i 0.431789 2.34157i
\(725\) −65.8414 13.6724i −2.44529 0.507782i
\(726\) −41.6592 + 28.9829i −1.54612 + 1.07566i
\(727\) 24.5511 15.2782i 0.910548 0.566636i 0.00930850 0.999957i \(-0.497037\pi\)
0.901240 + 0.433320i \(0.142658\pi\)
\(728\) 25.2106 31.0851i 0.934368 1.15209i
\(729\) 42.2303 2.97716i 1.56408 0.110265i
\(730\) −2.41769 58.0989i −0.0894826 2.15034i
\(731\) −4.80993 2.78386i −0.177902 0.102965i
\(732\) 21.7351 72.5376i 0.803351 2.68107i
\(733\) 1.17072 2.09953i 0.0432416 0.0775477i −0.850911 0.525309i \(-0.823950\pi\)
0.894153 + 0.447761i \(0.147779\pi\)
\(734\) 12.4207 + 2.66225i 0.458455 + 0.0982654i
\(735\) 65.4484 + 25.9516i 2.41410 + 0.957240i
\(736\) −1.55718 25.5865i −0.0573983 0.943130i
\(737\) 9.46725 7.14094i 0.348731 0.263040i
\(738\) −132.640 + 17.9302i −4.88253 + 0.660020i
\(739\) 10.4789 + 46.6975i 0.385473 + 1.71780i 0.655720 + 0.755005i \(0.272365\pi\)
−0.270246 + 0.962791i \(0.587105\pi\)
\(740\) 8.21333 5.40757i 0.301928 0.198786i
\(741\) 49.2100 101.591i 1.80778 3.73204i
\(742\) −17.5022 0.111987i −0.642527 0.00411117i
\(743\) −10.1841 10.8924i −0.373619 0.399603i 0.515789 0.856715i \(-0.327499\pi\)
−0.889409 + 0.457113i \(0.848884\pi\)
\(744\) −16.5377 20.3912i −0.606301 0.747578i
\(745\) 23.5107 + 8.12436i 0.861364 + 0.297654i
\(746\) 10.1977 + 3.89332i 0.373363 + 0.142544i
\(747\) 59.6855 + 52.6674i 2.18378 + 1.92700i
\(748\) 13.0288 + 3.94939i 0.476380 + 0.144404i
\(749\) −24.1894 17.7645i −0.883861 0.649101i
\(750\) −57.3632 + 35.1901i −2.09461 + 1.28496i
\(751\) −0.0831003 + 25.9754i −0.00303237 + 0.947857i 0.879041 + 0.476745i \(0.158184\pi\)
−0.882074 + 0.471111i \(0.843853\pi\)
\(752\) −10.2253 + 6.54620i −0.372877 + 0.238715i
\(753\) −18.1068 + 17.4806i −0.659849 + 0.637027i
\(754\) −23.8056 + 109.356i −0.866950 + 3.98252i
\(755\) −19.1837 + 78.4126i −0.698168 + 2.85373i
\(756\) 31.7641 + 53.6866i 1.15525 + 1.95256i
\(757\) −1.23171 + 1.25158i −0.0447674 + 0.0454893i −0.734760 0.678327i \(-0.762705\pi\)
0.689993 + 0.723816i \(0.257614\pi\)
\(758\) 4.70909 6.54294i 0.171042 0.237650i
\(759\) 7.62442 14.9993i 0.276749 0.544441i
\(760\) 24.8304 33.5851i 0.900694 1.21826i
\(761\) −15.0637 + 22.4084i −0.546059 + 0.812303i −0.996765 0.0803693i \(-0.974390\pi\)
0.450706 + 0.892672i \(0.351172\pi\)
\(762\) −3.49169 1.65016i −0.126490 0.0597791i
\(763\) −0.0472176 + 0.0133290i −0.00170939 + 0.000482541i
\(764\) 16.5815 + 35.3785i 0.599899 + 1.27995i
\(765\) 48.9044 19.3916i 1.76814 0.701104i
\(766\) −33.3611 + 5.60163i −1.20538 + 0.202395i
\(767\) −36.6663 49.5941i −1.32395 1.79074i
\(768\) −9.33350 + 0.418313i −0.336794 + 0.0150946i
\(769\) −10.0837 5.92264i −0.363628 0.213576i 0.313250 0.949671i \(-0.398582\pi\)
−0.676878 + 0.736095i \(0.736668\pi\)
\(770\) −49.0823 + 8.56461i −1.76880