Properties

Label 983.2.c.a.2.16
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 2.16
Character \(\chi\) \(=\) 983.2
Dual form 983.2.c.a.492.16

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.612989 + 1.83062i) q^{2} +(1.04506 + 0.587130i) q^{3} +(-1.37872 - 1.03994i) q^{4} +(1.11482 - 1.68151i) q^{5} +(-1.71543 + 1.55321i) q^{6} +(-1.16764 + 2.57657i) q^{7} +(-0.434644 + 0.298279i) q^{8} +(-0.813104 - 1.33500i) q^{9} +O(q^{10})\) \(q+(-0.612989 + 1.83062i) q^{2} +(1.04506 + 0.587130i) q^{3} +(-1.37872 - 1.03994i) q^{4} +(1.11482 - 1.68151i) q^{5} +(-1.71543 + 1.55321i) q^{6} +(-1.16764 + 2.57657i) q^{7} +(-0.434644 + 0.298279i) q^{8} +(-0.813104 - 1.33500i) q^{9} +(2.39485 + 3.07156i) q^{10} +(-6.30191 - 0.403770i) q^{11} +(-0.830264 - 1.89628i) q^{12} +(1.76500 + 2.03931i) q^{13} +(-4.00099 - 3.71691i) q^{14} +(2.15232 - 1.10274i) q^{15} +(-1.22856 - 4.29947i) q^{16} +(-3.86835 + 1.70848i) q^{17} +(2.94231 - 0.670148i) q^{18} +(0.758782 + 0.579987i) q^{19} +(-3.28568 + 1.15899i) q^{20} +(-2.73303 + 2.00712i) q^{21} +(4.60215 - 11.2889i) q^{22} +(0.181742 + 1.71508i) q^{23} +(-0.629358 + 0.0565272i) q^{24} +(0.361952 + 0.856342i) q^{25} +(-4.81513 + 1.98097i) q^{26} +(-0.192448 - 5.46642i) q^{27} +(4.28931 - 2.33809i) q^{28} +(-2.37694 + 3.43997i) q^{29} +(0.699355 + 4.61606i) q^{30} +(-1.91076 - 2.84240i) q^{31} +(7.57057 + 0.339301i) q^{32} +(-6.34881 - 4.12200i) q^{33} +(-0.756328 - 8.12878i) q^{34} +(3.03084 + 4.83580i) q^{35} +(-0.267276 + 2.68616i) q^{36} +(-2.18478 + 0.541922i) q^{37} +(-1.52686 + 1.03352i) q^{38} +(0.647188 + 3.16749i) q^{39} +(0.0170113 + 1.06339i) q^{40} +(-0.655470 - 0.0588726i) q^{41} +(-1.99896 - 6.23350i) q^{42} +(-3.58434 - 4.91356i) q^{43} +(8.26864 + 7.11026i) q^{44} +(-3.15128 - 0.121038i) q^{45} +(-3.25108 - 0.718625i) q^{46} +(-0.562916 - 1.87865i) q^{47} +(1.24044 - 5.21453i) q^{48} +(-0.660625 - 0.753501i) q^{49} +(-1.78951 + 0.137670i) q^{50} +(-5.04576 - 0.485761i) q^{51} +(-0.312676 - 4.64711i) q^{52} +(-6.15436 + 5.64446i) q^{53} +(10.1249 + 2.99855i) q^{54} +(-7.70442 + 10.1466i) q^{55} +(-0.261031 - 1.46817i) q^{56} +(0.452445 + 1.05163i) q^{57} +(-4.84025 - 6.45994i) q^{58} +(-8.32438 - 0.640407i) q^{59} +(-4.11422 - 0.717910i) q^{60} +(3.79926 + 3.22495i) q^{61} +(6.37465 - 1.75553i) q^{62} +(4.38913 - 0.536225i) q^{63} +(-2.04531 + 5.30622i) q^{64} +(5.39678 - 0.694405i) q^{65} +(11.4376 - 9.09555i) q^{66} +(4.37135 - 3.75896i) q^{67} +(7.11007 + 1.66733i) q^{68} +(-0.817045 + 1.89907i) q^{69} +(-10.7104 + 2.58403i) q^{70} +(-9.87921 + 8.06478i) q^{71} +(0.751613 + 0.337718i) q^{72} +(-4.31278 - 3.08310i) q^{73} +(0.347187 - 4.33169i) q^{74} +(-0.124523 + 1.10744i) q^{75} +(-0.442995 - 1.58872i) q^{76} +(8.39867 - 15.7659i) q^{77} +(-6.19520 - 0.756875i) q^{78} +(-10.9797 + 1.62756i) q^{79} +(-8.59924 - 2.72730i) q^{80} +(0.856754 - 1.65911i) q^{81} +(0.509569 - 1.16383i) q^{82} +(3.98272 - 1.23515i) q^{83} +(5.85535 + 0.0749334i) q^{84} +(-1.43968 + 8.40933i) q^{85} +(11.1921 - 3.54963i) q^{86} +(-4.50375 + 2.19940i) q^{87} +(2.85952 - 1.70423i) q^{88} +(14.3574 + 9.45275i) q^{89} +(2.15328 - 5.69462i) q^{90} +(-7.31530 + 2.16647i) q^{91} +(1.53301 - 2.55361i) q^{92} +(-0.328004 - 4.09235i) q^{93} +(3.78417 + 0.121104i) q^{94} +(1.82116 - 0.629321i) q^{95} +(7.71249 + 4.79950i) q^{96} +(13.6801 - 0.700853i) q^{97} +(1.78433 - 0.747469i) q^{98} +(4.58507 + 8.74135i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.612989 + 1.83062i −0.433448 + 1.29445i 0.476298 + 0.879284i \(0.341978\pi\)
−0.909747 + 0.415163i \(0.863724\pi\)
\(3\) 1.04506 + 0.587130i 0.603366 + 0.338980i 0.761231 0.648481i \(-0.224595\pi\)
−0.157865 + 0.987461i \(0.550461\pi\)
\(4\) −1.37872 1.03994i −0.689358 0.519968i
\(5\) 1.11482 1.68151i 0.498562 0.751995i −0.494552 0.869148i \(-0.664668\pi\)
0.993114 + 0.117153i \(0.0373766\pi\)
\(6\) −1.71543 + 1.55321i −0.700319 + 0.634095i
\(7\) −1.16764 + 2.57657i −0.441325 + 0.973852i 0.549094 + 0.835760i \(0.314973\pi\)
−0.990419 + 0.138092i \(0.955903\pi\)
\(8\) −0.434644 + 0.298279i −0.153670 + 0.105458i
\(9\) −0.813104 1.33500i −0.271035 0.445000i
\(10\) 2.39485 + 3.07156i 0.757317 + 0.971313i
\(11\) −6.30191 0.403770i −1.90010 0.121741i −0.930475 0.366354i \(-0.880606\pi\)
−0.969621 + 0.244613i \(0.921339\pi\)
\(12\) −0.830264 1.89628i −0.239677 0.547410i
\(13\) 1.76500 + 2.03931i 0.489522 + 0.565603i 0.946014 0.324124i \(-0.105070\pi\)
−0.456492 + 0.889727i \(0.650894\pi\)
\(14\) −4.00099 3.71691i −1.06931 0.993387i
\(15\) 2.15232 1.10274i 0.555727 0.284726i
\(16\) −1.22856 4.29947i −0.307139 1.07487i
\(17\) −3.86835 + 1.70848i −0.938213 + 0.414367i −0.815945 0.578130i \(-0.803783\pi\)
−0.122268 + 0.992497i \(0.539017\pi\)
\(18\) 2.94231 0.670148i 0.693508 0.157955i
\(19\) 0.758782 + 0.579987i 0.174077 + 0.133058i 0.690663 0.723177i \(-0.257319\pi\)
−0.516586 + 0.856235i \(0.672797\pi\)
\(20\) −3.28568 + 1.15899i −0.734701 + 0.259158i
\(21\) −2.73303 + 2.00712i −0.596397 + 0.437989i
\(22\) 4.60215 11.2889i 0.981181 2.40681i
\(23\) 0.181742 + 1.71508i 0.0378958 + 0.357619i 0.997172 + 0.0751503i \(0.0239437\pi\)
−0.959276 + 0.282469i \(0.908847\pi\)
\(24\) −0.629358 + 0.0565272i −0.128467 + 0.0115386i
\(25\) 0.361952 + 0.856342i 0.0723904 + 0.171268i
\(26\) −4.81513 + 1.98097i −0.944326 + 0.388501i
\(27\) −0.192448 5.46642i −0.0370366 1.05201i
\(28\) 4.28931 2.33809i 0.810603 0.441858i
\(29\) −2.37694 + 3.43997i −0.441386 + 0.638785i −0.978869 0.204489i \(-0.934447\pi\)
0.537483 + 0.843275i \(0.319375\pi\)
\(30\) 0.699355 + 4.61606i 0.127684 + 0.842773i
\(31\) −1.91076 2.84240i −0.343183 0.510511i 0.618090 0.786107i \(-0.287907\pi\)
−0.961273 + 0.275597i \(0.911125\pi\)
\(32\) 7.57057 + 0.339301i 1.33830 + 0.0599806i
\(33\) −6.34881 4.12200i −1.10519 0.717549i
\(34\) −0.756328 8.12878i −0.129709 1.39407i
\(35\) 3.03084 + 4.83580i 0.512305 + 0.817400i
\(36\) −0.267276 + 2.68616i −0.0445459 + 0.447694i
\(37\) −2.18478 + 0.541922i −0.359175 + 0.0890914i −0.416179 0.909283i \(-0.636631\pi\)
0.0570046 + 0.998374i \(0.481845\pi\)
\(38\) −1.52686 + 1.03352i −0.247690 + 0.167659i
\(39\) 0.647188 + 3.16749i 0.103633 + 0.507204i
\(40\) 0.0170113 + 1.06339i 0.00268972 + 0.168136i
\(41\) −0.655470 0.0588726i −0.102367 0.00919435i 0.0381554 0.999272i \(-0.487852\pi\)
−0.140523 + 0.990077i \(0.544878\pi\)
\(42\) −1.99896 6.23350i −0.308447 0.961850i
\(43\) −3.58434 4.91356i −0.546607 0.749312i 0.442458 0.896789i \(-0.354107\pi\)
−0.989065 + 0.147478i \(0.952885\pi\)
\(44\) 8.26864 + 7.11026i 1.24654 + 1.07191i
\(45\) −3.15128 0.121038i −0.469765 0.0180432i
\(46\) −3.25108 0.718625i −0.479345 0.105955i
\(47\) −0.562916 1.87865i −0.0821098 0.274029i 0.907017 0.421094i \(-0.138354\pi\)
−0.989127 + 0.147064i \(0.953018\pi\)
\(48\) 1.24044 5.21453i 0.179042 0.752653i
\(49\) −0.660625 0.753501i −0.0943750 0.107643i
\(50\) −1.78951 + 0.137670i −0.253075 + 0.0194695i
\(51\) −5.04576 0.485761i −0.706548 0.0680202i
\(52\) −0.312676 4.64711i −0.0433604 0.644439i
\(53\) −6.15436 + 5.64446i −0.845366 + 0.775327i −0.976382 0.216054i \(-0.930681\pi\)
0.131015 + 0.991380i \(0.458176\pi\)
\(54\) 10.1249 + 2.99855i 1.37783 + 0.408051i
\(55\) −7.70442 + 10.1466i −1.03886 + 1.36817i
\(56\) −0.261031 1.46817i −0.0348818 0.196193i
\(57\) 0.452445 + 1.05163i 0.0599278 + 0.139291i
\(58\) −4.84025 6.45994i −0.635556 0.848232i
\(59\) −8.32438 0.640407i −1.08374 0.0833739i −0.477483 0.878641i \(-0.658451\pi\)
−0.606259 + 0.795267i \(0.707331\pi\)
\(60\) −4.11422 0.717910i −0.531143 0.0926818i
\(61\) 3.79926 + 3.22495i 0.486445 + 0.412913i 0.856540 0.516081i \(-0.172610\pi\)
−0.370095 + 0.928994i \(0.620675\pi\)
\(62\) 6.37465 1.75553i 0.809581 0.222952i
\(63\) 4.38913 0.536225i 0.552979 0.0675581i
\(64\) −2.04531 + 5.30622i −0.255664 + 0.663278i
\(65\) 5.39678 0.694405i 0.669388 0.0861303i
\(66\) 11.4376 9.09555i 1.40787 1.11958i
\(67\) 4.37135 3.75896i 0.534046 0.459230i −0.343206 0.939260i \(-0.611513\pi\)
0.877252 + 0.480031i \(0.159374\pi\)
\(68\) 7.11007 + 1.66733i 0.862222 + 0.202194i
\(69\) −0.817045 + 1.89907i −0.0983607 + 0.228621i
\(70\) −10.7104 + 2.58403i −1.28014 + 0.308851i
\(71\) −9.87921 + 8.06478i −1.17245 + 0.957113i −0.999612 0.0278381i \(-0.991138\pi\)
−0.172834 + 0.984951i \(0.555292\pi\)
\(72\) 0.751613 + 0.337718i 0.0885784 + 0.0398004i
\(73\) −4.31278 3.08310i −0.504772 0.360850i 0.300474 0.953790i \(-0.402855\pi\)
−0.805247 + 0.592940i \(0.797967\pi\)
\(74\) 0.347187 4.33169i 0.0403597 0.503549i
\(75\) −0.124523 + 1.10744i −0.0143786 + 0.127876i
\(76\) −0.442995 1.58872i −0.0508150 0.182239i
\(77\) 8.39867 15.7659i 0.957118 1.79669i
\(78\) −6.19520 0.756875i −0.701468 0.0856992i
\(79\) −10.9797 + 1.62756i −1.23531 + 0.183115i −0.732189 0.681101i \(-0.761501\pi\)
−0.503121 + 0.864216i \(0.667815\pi\)
\(80\) −8.59924 2.72730i −0.961424 0.304921i
\(81\) 0.856754 1.65911i 0.0951949 0.184345i
\(82\) 0.509569 1.16383i 0.0562725 0.128524i
\(83\) 3.98272 1.23515i 0.437160 0.135576i −0.0697697 0.997563i \(-0.522226\pi\)
0.506930 + 0.861987i \(0.330780\pi\)
\(84\) 5.85535 + 0.0749334i 0.638871 + 0.00817590i
\(85\) −1.43968 + 8.40933i −0.156155 + 0.912120i
\(86\) 11.1921 3.54963i 1.20687 0.382766i
\(87\) −4.50375 + 2.19940i −0.482853 + 0.235801i
\(88\) 2.85952 1.70423i 0.304826 0.181672i
\(89\) 14.3574 + 9.45275i 1.52188 + 1.00199i 0.987655 + 0.156648i \(0.0500687\pi\)
0.534225 + 0.845342i \(0.320603\pi\)
\(90\) 2.15328 5.69462i 0.226975 0.600266i
\(91\) −7.31530 + 2.16647i −0.766852 + 0.227107i
\(92\) 1.53301 2.55361i 0.159827 0.266232i
\(93\) −0.328004 4.09235i −0.0340124 0.424357i
\(94\) 3.78417 + 0.121104i 0.390307 + 0.0124909i
\(95\) 1.82116 0.629321i 0.186847 0.0645670i
\(96\) 7.71249 + 4.79950i 0.787153 + 0.489847i
\(97\) 13.6801 0.700853i 1.38900 0.0711608i 0.657734 0.753251i \(-0.271515\pi\)
0.731268 + 0.682090i \(0.238929\pi\)
\(98\) 1.78433 0.747469i 0.180245 0.0755058i
\(99\) 4.58507 + 8.74135i 0.460817 + 0.878539i
\(100\) 0.391512 1.55706i 0.0391512 0.155706i
\(101\) 5.52045 + 4.00006i 0.549306 + 0.398021i 0.826622 0.562758i \(-0.190260\pi\)
−0.277316 + 0.960779i \(0.589445\pi\)
\(102\) 3.98224 8.93913i 0.394301 0.885106i
\(103\) 0.910226 + 0.354200i 0.0896872 + 0.0349004i 0.407069 0.913398i \(-0.366551\pi\)
−0.317381 + 0.948298i \(0.602804\pi\)
\(104\) −1.37543 0.359912i −0.134872 0.0352923i
\(105\) 0.328161 + 6.83320i 0.0320253 + 0.666852i
\(106\) −6.56034 14.7263i −0.637197 1.43035i
\(107\) 2.29584 10.8809i 0.221947 1.05190i −0.714105 0.700039i \(-0.753166\pi\)
0.936052 0.351861i \(-0.114451\pi\)
\(108\) −5.41939 + 7.73677i −0.521482 + 0.744471i
\(109\) 8.31757 + 9.86255i 0.796678 + 0.944661i 0.999402 0.0345752i \(-0.0110078\pi\)
−0.202724 + 0.979236i \(0.564979\pi\)
\(110\) −13.8519 20.3237i −1.32073 1.93779i
\(111\) −2.60140 0.716406i −0.246914 0.0679983i
\(112\) 12.5124 + 1.85476i 1.18231 + 0.175258i
\(113\) −10.1327 4.94830i −0.953206 0.465497i −0.104595 0.994515i \(-0.533355\pi\)
−0.848611 + 0.529018i \(0.822560\pi\)
\(114\) −2.20248 + 0.183623i −0.206281 + 0.0171978i
\(115\) 3.08654 + 1.60640i 0.287822 + 0.149798i
\(116\) 6.85447 2.27087i 0.636421 0.210845i
\(117\) 1.28735 4.01444i 0.119016 0.371135i
\(118\) 6.27510 14.8463i 0.577670 1.36671i
\(119\) 0.114809 11.9620i 0.0105245 1.09655i
\(120\) −0.606568 + 1.12129i −0.0553718 + 0.102359i
\(121\) 28.6409 + 3.68524i 2.60372 + 0.335021i
\(122\) −8.23258 + 4.97815i −0.745343 + 0.450701i
\(123\) −0.650440 0.446372i −0.0586482 0.0402480i
\(124\) −0.321517 + 5.90594i −0.0288731 + 0.530369i
\(125\) 11.7578 + 2.20708i 1.05165 + 0.197407i
\(126\) −1.70886 + 8.36355i −0.152237 + 0.745084i
\(127\) 6.86446 + 16.5349i 0.609122 + 1.46723i 0.865628 + 0.500688i \(0.166920\pi\)
−0.256506 + 0.966543i \(0.582571\pi\)
\(128\) 3.21945 + 2.66267i 0.284562 + 0.235349i
\(129\) −0.860956 7.23945i −0.0758029 0.637398i
\(130\) −2.03697 + 10.3051i −0.178654 + 0.903820i
\(131\) 4.76429 + 2.44098i 0.416258 + 0.213270i 0.651470 0.758675i \(-0.274153\pi\)
−0.235212 + 0.971944i \(0.575578\pi\)
\(132\) 4.46659 + 12.2854i 0.388766 + 1.06931i
\(133\) −2.38036 + 1.27784i −0.206403 + 0.110803i
\(134\) 4.20165 + 10.3065i 0.362967 + 0.890346i
\(135\) −9.40640 5.77046i −0.809574 0.496642i
\(136\) 1.17175 1.89643i 0.100477 0.162617i
\(137\) −2.58742 4.57117i −0.221058 0.390541i 0.737540 0.675304i \(-0.235987\pi\)
−0.958598 + 0.284763i \(0.908085\pi\)
\(138\) −2.97565 2.65981i −0.253304 0.226418i
\(139\) −4.89386 + 9.33005i −0.415092 + 0.791365i −0.999802 0.0198773i \(-0.993672\pi\)
0.584711 + 0.811242i \(0.301208\pi\)
\(140\) 0.850266 9.81908i 0.0718606 0.829863i
\(141\) 0.514731 2.29381i 0.0433482 0.193174i
\(142\) −8.70773 23.0287i −0.730737 1.93253i
\(143\) −10.2994 13.5642i −0.861282 1.13429i
\(144\) −4.74085 + 5.13604i −0.395071 + 0.428003i
\(145\) 3.13449 + 7.83179i 0.260306 + 0.650394i
\(146\) 8.28768 6.00517i 0.685894 0.496991i
\(147\) −0.247990 1.17533i −0.0204539 0.0969394i
\(148\) 3.57575 + 1.52487i 0.293925 + 0.125344i
\(149\) 0.0112048 + 0.0433861i 0.000917931 + 0.00355433i 0.968689 0.248275i \(-0.0798638\pi\)
−0.967772 + 0.251830i \(0.918968\pi\)
\(150\) −1.95098 0.906804i −0.159297 0.0740402i
\(151\) −6.08469 + 2.19019i −0.495165 + 0.178235i −0.574325 0.818627i \(-0.694736\pi\)
0.0791598 + 0.996862i \(0.474776\pi\)
\(152\) −0.502798 0.0257591i −0.0407823 0.00208934i
\(153\) 5.42619 + 3.77508i 0.438682 + 0.305197i
\(154\) 23.7131 + 25.0391i 1.91085 + 2.01771i
\(155\) −6.90969 + 0.0442113i −0.555000 + 0.00355113i
\(156\) 2.40170 5.04010i 0.192289 0.403531i
\(157\) 1.20993 + 1.31078i 0.0965628 + 0.104612i 0.781228 0.624245i \(-0.214593\pi\)
−0.684666 + 0.728857i \(0.740052\pi\)
\(158\) 3.75097 21.0973i 0.298411 1.67841i
\(159\) −9.74572 + 2.28540i −0.772885 + 0.181244i
\(160\) 9.01035 12.3518i 0.712331 0.976492i
\(161\) −4.63124 1.53432i −0.364993 0.120921i
\(162\) 2.51202 + 2.58541i 0.197363 + 0.203129i
\(163\) −5.52768 + 1.40872i −0.432961 + 0.110339i −0.457193 0.889367i \(-0.651145\pi\)
0.0242324 + 0.999706i \(0.492286\pi\)
\(164\) 0.842483 + 0.762816i 0.0657869 + 0.0595659i
\(165\) −14.0090 + 6.08032i −1.09060 + 0.473353i
\(166\) −0.180259 + 8.04799i −0.0139908 + 0.624645i
\(167\) 1.61595 + 8.76322i 0.125046 + 0.678118i 0.985645 + 0.168834i \(0.0540001\pi\)
−0.860598 + 0.509284i \(0.829910\pi\)
\(168\) 0.589214 1.68759i 0.0454589 0.130200i
\(169\) 0.821488 5.66676i 0.0631913 0.435905i
\(170\) −14.5118 7.79033i −1.11301 0.597491i
\(171\) 0.157315 1.48456i 0.0120301 0.113527i
\(172\) −0.168002 + 10.5019i −0.0128100 + 0.800762i
\(173\) 10.3054 1.93444i 0.783506 0.147073i 0.222553 0.974921i \(-0.428561\pi\)
0.560953 + 0.827848i \(0.310435\pi\)
\(174\) −1.26553 9.59289i −0.0959395 0.727235i
\(175\) −2.62905 0.0673012i −0.198738 0.00508749i
\(176\) 6.00624 + 27.5909i 0.452738 + 2.07974i
\(177\) −8.32349 5.55676i −0.625631 0.417672i
\(178\) −26.1054 + 20.4885i −1.95668 + 1.53568i
\(179\) −20.0212 9.61917i −1.49646 0.718971i −0.506750 0.862093i \(-0.669153\pi\)
−0.989705 + 0.143122i \(0.954286\pi\)
\(180\) 4.21885 + 3.44401i 0.314455 + 0.256701i
\(181\) 5.25248 + 10.4988i 0.390413 + 0.780372i 0.999923 0.0124068i \(-0.00394930\pi\)
−0.609510 + 0.792779i \(0.708634\pi\)
\(182\) 0.518210 14.7196i 0.0384123 1.09109i
\(183\) 2.07699 + 5.60093i 0.153535 + 0.414033i
\(184\) −0.590566 0.691240i −0.0435371 0.0509589i
\(185\) −1.52438 + 4.27787i −0.112075 + 0.314515i
\(186\) 7.69262 + 1.90811i 0.564050 + 0.139910i
\(187\) 25.0678 9.20475i 1.83314 0.673118i
\(188\) −1.17758 + 3.17552i −0.0858835 + 0.231599i
\(189\) 14.3093 + 5.88693i 1.04085 + 0.428211i
\(190\) 0.0357003 + 3.71963i 0.00258998 + 0.269850i
\(191\) −10.1270 5.35324i −0.732761 0.387347i 0.0589350 0.998262i \(-0.481230\pi\)
−0.791696 + 0.610915i \(0.790802\pi\)
\(192\) −5.25292 + 4.34446i −0.379097 + 0.313534i
\(193\) 3.69652 + 3.52325i 0.266081 + 0.253609i 0.811226 0.584732i \(-0.198800\pi\)
−0.545145 + 0.838342i \(0.683526\pi\)
\(194\) −7.10274 + 25.4727i −0.509947 + 1.82883i
\(195\) 6.04767 + 2.44292i 0.433082 + 0.174941i
\(196\) 0.127221 + 1.72587i 0.00908723 + 0.123277i
\(197\) −20.2199 + 5.42945i −1.44061 + 0.386832i −0.893058 0.449942i \(-0.851445\pi\)
−0.547548 + 0.836775i \(0.684438\pi\)
\(198\) −18.8127 + 3.03519i −1.33696 + 0.215702i
\(199\) 4.08953 6.34314i 0.289899 0.449653i −0.664888 0.746943i \(-0.731521\pi\)
0.954787 + 0.297290i \(0.0960828\pi\)
\(200\) −0.412749 0.264241i −0.0291858 0.0186847i
\(201\) 6.77533 1.36178i 0.477895 0.0960529i
\(202\) −10.7066 + 7.65389i −0.753313 + 0.538525i
\(203\) −6.08792 10.1410i −0.427288 0.711757i
\(204\) 6.45151 + 5.91700i 0.451696 + 0.414273i
\(205\) −0.829725 + 1.03655i −0.0579505 + 0.0723957i
\(206\) −1.20637 + 1.44916i −0.0840515 + 0.100968i
\(207\) 2.14186 1.63717i 0.148870 0.113791i
\(208\) 6.59957 10.0940i 0.457598 0.699890i
\(209\) −4.54759 3.96140i −0.314564 0.274016i
\(210\) −12.7102 3.58794i −0.877086 0.247591i
\(211\) −1.43211 8.69939i −0.0985902 0.598891i −0.989480 0.144671i \(-0.953788\pi\)
0.890890 0.454220i \(-0.150082\pi\)
\(212\) 14.3550 1.38197i 0.985905 0.0949142i
\(213\) −15.0595 + 2.62780i −1.03186 + 0.180054i
\(214\) 18.5116 + 10.8727i 1.26543 + 0.743243i
\(215\) −12.2581 + 0.549390i −0.835996 + 0.0374681i
\(216\) 1.71416 + 2.31854i 0.116634 + 0.157757i
\(217\) 9.55473 1.60433i 0.648617 0.108909i
\(218\) −23.1532 + 9.18071i −1.56813 + 0.621796i
\(219\) −2.69693 5.75419i −0.182242 0.388832i
\(220\) 21.1740 5.97718i 1.42755 0.402981i
\(221\) −10.3117 4.87331i −0.693643 0.327814i
\(222\) 2.90610 4.32304i 0.195045 0.290144i
\(223\) −3.71700 + 5.02753i −0.248909 + 0.336669i −0.910737 0.412987i \(-0.864486\pi\)
0.661828 + 0.749656i \(0.269781\pi\)
\(224\) −9.71391 + 19.1099i −0.649038 + 1.27684i
\(225\) 0.848912 1.17950i 0.0565942 0.0786334i
\(226\) 15.2697 15.5159i 1.01573 1.03211i
\(227\) 14.4532 + 24.4283i 0.959291 + 1.62136i 0.768618 + 0.639708i \(0.220945\pi\)
0.190673 + 0.981654i \(0.438933\pi\)
\(228\) 0.469830 1.92041i 0.0311153 0.127182i
\(229\) −2.94142 + 13.5120i −0.194374 + 0.892899i 0.771972 + 0.635656i \(0.219270\pi\)
−0.966347 + 0.257243i \(0.917186\pi\)
\(230\) −4.83274 + 4.66559i −0.318661 + 0.307640i
\(231\) 18.0337 11.5452i 1.18653 0.759616i
\(232\) 0.00705149 2.20415i 0.000462953 0.144710i
\(233\) −3.01957 + 1.85239i −0.197819 + 0.121354i −0.618285 0.785954i \(-0.712172\pi\)
0.420466 + 0.907308i \(0.361867\pi\)
\(234\) 6.55980 + 4.81747i 0.428828 + 0.314928i
\(235\) −3.78653 1.14780i −0.247006 0.0748744i
\(236\) 10.8110 + 9.53977i 0.703735 + 0.620986i
\(237\) −12.4300 4.74560i −0.807417 0.308260i
\(238\) 21.8275 + 7.54272i 1.41487 + 0.488922i
\(239\) −0.969781 1.19575i −0.0627299 0.0773468i 0.744348 0.667792i \(-0.232761\pi\)
−0.807077 + 0.590446i \(0.798952\pi\)
\(240\) −7.38545 7.89907i −0.476728 0.509883i
\(241\) −10.6981 0.0684512i −0.689125 0.00440933i −0.338556 0.940946i \(-0.609939\pi\)
−0.350569 + 0.936537i \(0.614012\pi\)
\(242\) −24.3029 + 50.1718i −1.56225 + 3.22516i
\(243\) −11.8361 + 7.79278i −0.759287 + 0.499907i
\(244\) −1.88435 8.39728i −0.120633 0.537581i
\(245\) −2.00350 + 0.270833i −0.127999 + 0.0173029i
\(246\) 1.21585 0.917091i 0.0775199 0.0584716i
\(247\) 0.156474 + 2.57107i 0.00995617 + 0.163593i
\(248\) 1.67833 + 0.665492i 0.106574 + 0.0422588i
\(249\) 4.88738 + 1.04756i 0.309725 + 0.0663866i
\(250\) −11.2477 + 20.1712i −0.711369 + 1.27574i
\(251\) −5.22760 + 17.4464i −0.329963 + 1.10120i 0.618887 + 0.785480i \(0.287584\pi\)
−0.948851 + 0.315725i \(0.897752\pi\)
\(252\) −6.60901 3.82511i −0.416328 0.240960i
\(253\) −0.452822 10.8817i −0.0284687 0.684125i
\(254\) −34.4769 + 2.43057i −2.16328 + 0.152507i
\(255\) −6.44192 + 7.94298i −0.403409 + 0.497409i
\(256\) −16.5043 + 10.2706i −1.03152 + 0.641915i
\(257\) −1.02352 + 0.712079i −0.0638456 + 0.0444183i −0.602590 0.798051i \(-0.705864\pi\)
0.538744 + 0.842470i \(0.318899\pi\)
\(258\) 13.7805 + 2.86162i 0.857935 + 0.178156i
\(259\) 1.15472 6.26200i 0.0717510 0.389102i
\(260\) −8.16276 4.65492i −0.506233 0.288686i
\(261\) 6.52505 + 0.376162i 0.403890 + 0.0232839i
\(262\) −7.38898 + 7.22533i −0.456493 + 0.446383i
\(263\) −4.47175 18.2780i −0.275740 1.12707i −0.929042 0.369975i \(-0.879366\pi\)
0.653302 0.757097i \(-0.273383\pi\)
\(264\) 3.98898 0.102114i 0.245505 0.00628467i
\(265\) 2.63025 + 16.6412i 0.161575 + 1.02226i
\(266\) −0.880114 5.14085i −0.0539633 0.315206i
\(267\) 9.45435 + 18.3084i 0.578597 + 1.12045i
\(268\) −9.93593 + 0.636605i −0.606933 + 0.0388868i
\(269\) −8.37354 9.42838i −0.510544 0.574858i 0.434968 0.900446i \(-0.356760\pi\)
−0.945512 + 0.325588i \(0.894438\pi\)
\(270\) 16.3296 13.6824i 0.993785 0.832682i
\(271\) −1.70143 + 0.0326631i −0.103355 + 0.00198414i −0.0708455 0.997487i \(-0.522570\pi\)
−0.0325090 + 0.999471i \(0.510350\pi\)
\(272\) 12.0980 + 14.5329i 0.733552 + 0.881187i
\(273\) −8.91693 2.03095i −0.539677 0.122918i
\(274\) 9.95415 1.93452i 0.601352 0.116869i
\(275\) −1.93522 5.54273i −0.116698 0.334239i
\(276\) 3.10139 1.76861i 0.186682 0.106458i
\(277\) 4.79386 2.37918i 0.288035 0.142951i −0.294758 0.955572i \(-0.595239\pi\)
0.582793 + 0.812621i \(0.301960\pi\)
\(278\) −14.0799 14.6780i −0.844459 0.880330i
\(279\) −2.24096 + 4.86204i −0.134163 + 0.291083i
\(280\) −2.75975 1.19782i −0.164927 0.0715833i
\(281\) 9.26519 + 20.4451i 0.552715 + 1.21965i 0.952919 + 0.303226i \(0.0980636\pi\)
−0.400204 + 0.916426i \(0.631061\pi\)
\(282\) 3.88358 + 2.34836i 0.231264 + 0.139843i
\(283\) −6.11742 4.86478i −0.363643 0.289181i 0.423568 0.905864i \(-0.360777\pi\)
−0.787211 + 0.616683i \(0.788476\pi\)
\(284\) 22.0075 0.845285i 1.30590 0.0501585i
\(285\) 2.27272 + 0.411579i 0.134624 + 0.0243798i
\(286\) 31.1444 10.5397i 1.84161 0.623225i
\(287\) 0.917040 1.62012i 0.0541312 0.0956329i
\(288\) −5.70269 10.3826i −0.336034 0.611801i
\(289\) 0.594783 0.652693i 0.0349872 0.0383937i
\(290\) −16.2585 + 0.937283i −0.954730 + 0.0550392i
\(291\) 14.7080 + 7.29956i 0.862199 + 0.427908i
\(292\) 2.73986 + 8.73573i 0.160338 + 0.511220i
\(293\) −6.96376 + 1.82223i −0.406827 + 0.106456i −0.450904 0.892573i \(-0.648898\pi\)
0.0440765 + 0.999028i \(0.485965\pi\)
\(294\) 2.30360 + 0.266486i 0.134349 + 0.0155418i
\(295\) −10.3570 + 13.2836i −0.603009 + 0.773402i
\(296\) 0.787955 0.887215i 0.0457989 0.0515683i
\(297\) −0.994384 + 34.5266i −0.0577000 + 2.00343i
\(298\) −0.0862921 0.00608345i −0.00499876 0.000352405i
\(299\) −3.17681 + 3.39774i −0.183720 + 0.196497i
\(300\) 1.32335 1.39735i 0.0764037 0.0806762i
\(301\) 16.8454 3.49806i 0.970950 0.201625i
\(302\) −0.279557 12.4813i −0.0160867 0.718221i
\(303\) 3.42065 + 7.42153i 0.196511 + 0.426356i
\(304\) 1.56143 3.97491i 0.0895544 0.227977i
\(305\) 9.65828 2.79326i 0.553032 0.159942i
\(306\) −10.2369 + 7.61924i −0.585207 + 0.435563i
\(307\) 19.6134 19.4261i 1.11940 1.10871i 0.126231 0.992001i \(-0.459712\pi\)
0.993167 0.116705i \(-0.0372331\pi\)
\(308\) −27.9749 + 13.0025i −1.59402 + 0.740889i
\(309\) 0.743280 + 0.904582i 0.0422837 + 0.0514599i
\(310\) 4.15463 12.6761i 0.235967 0.719957i
\(311\) 17.1160 11.4266i 0.970557 0.647944i 0.0343563 0.999410i \(-0.489062\pi\)
0.936201 + 0.351465i \(0.114316\pi\)
\(312\) −1.22609 1.18369i −0.0694137 0.0670130i
\(313\) −12.9233 2.59748i −0.730468 0.146818i −0.182367 0.983230i \(-0.558376\pi\)
−0.548101 + 0.836412i \(0.684649\pi\)
\(314\) −3.14123 + 1.41143i −0.177270 + 0.0796515i
\(315\) 3.99141 7.97818i 0.224891 0.449519i
\(316\) 16.8304 + 9.17422i 0.946785 + 0.516090i
\(317\) 13.3151 6.71480i 0.747853 0.377141i −0.0349672 0.999388i \(-0.511133\pi\)
0.782820 + 0.622248i \(0.213780\pi\)
\(318\) 1.79031 19.2417i 0.100395 1.07902i
\(319\) 16.3682 20.7186i 0.916443 1.16002i
\(320\) 6.64233 + 9.35469i 0.371318 + 0.522943i
\(321\) 8.78782 10.0233i 0.490488 0.559445i
\(322\) 5.64766 7.53754i 0.314732 0.420051i
\(323\) −3.92613 0.947232i −0.218456 0.0527054i
\(324\) −2.90658 + 1.39647i −0.161477 + 0.0775814i
\(325\) −1.10750 + 2.24957i −0.0614332 + 0.124784i
\(326\) 0.809575 10.9826i 0.0448382 0.608271i
\(327\) 2.90176 + 15.1905i 0.160468 + 0.840034i
\(328\) 0.302456 0.169924i 0.0167004 0.00938250i
\(329\) 5.49776 + 0.743187i 0.303101 + 0.0409732i
\(330\) −2.54345 29.3723i −0.140012 1.61689i
\(331\) −20.7102 8.67563i −1.13833 0.476856i −0.265131 0.964212i \(-0.585415\pi\)
−0.873203 + 0.487357i \(0.837961\pi\)
\(332\) −6.77551 2.43885i −0.371855 0.133849i
\(333\) 2.49991 + 2.47604i 0.136994 + 0.135686i
\(334\) −17.0327 2.41355i −0.931989 0.132064i
\(335\) −1.44747 11.5410i −0.0790838 0.630554i
\(336\) 11.9872 + 9.28475i 0.653957 + 0.506525i
\(337\) 4.45445 7.10722i 0.242649 0.387155i −0.703599 0.710598i \(-0.748425\pi\)
0.946248 + 0.323442i \(0.104840\pi\)
\(338\) 9.87016 + 4.97750i 0.536866 + 0.270740i
\(339\) −7.68401 11.1205i −0.417338 0.603982i
\(340\) 10.7301 10.0969i 0.581920 0.547581i
\(341\) 10.8938 + 18.6841i 0.589931 + 1.01180i
\(342\) 2.62125 + 1.19800i 0.141741 + 0.0647807i
\(343\) −16.2373 + 4.92197i −0.876730 + 0.265762i
\(344\) 3.02353 + 1.06652i 0.163018 + 0.0575027i
\(345\) 2.28246 + 3.49099i 0.122883 + 0.187949i
\(346\) −2.77586 + 20.0511i −0.149231 + 1.07796i
\(347\) 4.04629 + 1.78707i 0.217216 + 0.0959348i 0.509758 0.860318i \(-0.329735\pi\)
−0.292541 + 0.956253i \(0.594501\pi\)
\(348\) 8.49663 + 1.65126i 0.455467 + 0.0885171i
\(349\) −1.46687 10.1187i −0.0785195 0.541641i −0.991139 0.132831i \(-0.957593\pi\)
0.912619 0.408811i \(-0.134056\pi\)
\(350\) 1.73478 4.77156i 0.0927281 0.255050i
\(351\) 10.8081 10.0407i 0.576891 0.535931i
\(352\) −47.5720 5.19501i −2.53560 0.276895i
\(353\) 18.0629 + 18.1208i 0.961391 + 0.964472i 0.999394 0.0348057i \(-0.0110812\pi\)
−0.0380027 + 0.999278i \(0.512100\pi\)
\(354\) 15.2745 11.8309i 0.811833 0.628808i
\(355\) 2.54750 + 25.6028i 0.135207 + 1.35885i
\(356\) −9.96450 27.9634i −0.528117 1.48206i
\(357\) 7.14321 12.4336i 0.378059 0.658055i
\(358\) 29.8819 30.7549i 1.57931 1.62545i
\(359\) 13.2162 6.87844i 0.697526 0.363030i −0.0757266 0.997129i \(-0.524128\pi\)
0.773252 + 0.634098i \(0.218629\pi\)
\(360\) 1.40579 0.887353i 0.0740915 0.0467676i
\(361\) −4.74666 17.4539i −0.249824 0.918628i
\(362\) −22.4391 + 3.17965i −1.17937 + 0.167118i
\(363\) 27.7678 + 20.6673i 1.45743 + 1.08475i
\(364\) 12.3387 + 4.62051i 0.646724 + 0.242180i
\(365\) −9.99224 + 3.81489i −0.523018 + 0.199681i
\(366\) −11.5264 + 0.368875i −0.602493 + 0.0192814i
\(367\) 3.52954 + 31.3900i 0.184241 + 1.63855i 0.654531 + 0.756035i \(0.272866\pi\)
−0.470290 + 0.882512i \(0.655851\pi\)
\(368\) 7.15067 2.88847i 0.372754 0.150572i
\(369\) 0.454370 + 0.922922i 0.0236536 + 0.0480454i
\(370\) −6.89675 5.41285i −0.358545 0.281401i
\(371\) −7.35731 22.4478i −0.381973 1.16543i
\(372\) −3.80356 + 5.98329i −0.197205 + 0.310219i
\(373\) 1.01940 24.4970i 0.0527827 1.26841i −0.745656 0.666332i \(-0.767864\pi\)
0.798438 0.602077i \(-0.205660\pi\)
\(374\) 1.48416 + 51.5322i 0.0767439 + 2.66467i
\(375\) 10.9918 + 9.20989i 0.567613 + 0.475597i
\(376\) 0.805030 + 0.648638i 0.0415163 + 0.0334509i
\(377\) −11.2104 + 1.22421i −0.577367 + 0.0630503i
\(378\) −19.5482 + 22.5864i −1.00545 + 1.16172i
\(379\) 26.5584 + 8.23650i 1.36421 + 0.423081i 0.889450 0.457033i \(-0.151088\pi\)
0.474762 + 0.880114i \(0.342534\pi\)
\(380\) −3.16532 1.02624i −0.162377 0.0526448i
\(381\) −2.53433 + 21.3103i −0.129838 + 1.09176i
\(382\) 16.0075 15.2572i 0.819015 0.780626i
\(383\) 1.65241 + 3.10188i 0.0844343 + 0.158499i 0.921232 0.389013i \(-0.127184\pi\)
−0.836798 + 0.547512i \(0.815575\pi\)
\(384\) 1.80119 + 4.67289i 0.0919167 + 0.238463i
\(385\) −17.1475 31.6985i −0.873917 1.61551i
\(386\) −8.71567 + 4.60722i −0.443616 + 0.234501i
\(387\) −3.64516 + 8.78034i −0.185294 + 0.446330i
\(388\) −19.5898 13.2601i −0.994521 0.673181i
\(389\) −33.9663 12.4722i −1.72216 0.632367i −0.723821 0.689987i \(-0.757616\pi\)
−0.998339 + 0.0576205i \(0.981649\pi\)
\(390\) −8.17921 + 9.57353i −0.414171 + 0.484774i
\(391\) −3.63322 6.32404i −0.183740 0.319820i
\(392\) 0.511890 + 0.130454i 0.0258544 + 0.00658892i
\(393\) 3.54580 + 5.34823i 0.178862 + 0.269783i
\(394\) 2.45526 40.3432i 0.123694 2.03246i
\(395\) −9.50358 + 20.2769i −0.478177 + 1.02024i
\(396\) 2.76894 16.8200i 0.139144 0.845238i
\(397\) −1.18102 + 17.5528i −0.0592738 + 0.880949i 0.865615 + 0.500711i \(0.166928\pi\)
−0.924889 + 0.380238i \(0.875842\pi\)
\(398\) 9.10507 + 11.3747i 0.456396 + 0.570161i
\(399\) −3.23788 0.0621590i −0.162097 0.00311184i
\(400\) 3.23714 2.60827i 0.161857 0.130413i
\(401\) −9.48587 + 9.51626i −0.473702 + 0.475219i −0.904040 0.427448i \(-0.859413\pi\)
0.430338 + 0.902668i \(0.358394\pi\)
\(402\) −1.66028 + 13.2378i −0.0828073 + 0.660243i
\(403\) 2.42405 8.91347i 0.120751 0.444012i
\(404\) −3.45133 11.2559i −0.171710 0.560000i
\(405\) −1.83468 3.29024i −0.0911661 0.163494i
\(406\) 22.2961 4.92839i 1.10654 0.244592i
\(407\) 13.9871 2.53300i 0.693313 0.125556i
\(408\) 2.33800 1.29391i 0.115748 0.0640582i
\(409\) 20.9564 + 23.2944i 1.03623 + 1.15184i 0.988228 + 0.152989i \(0.0488898\pi\)
0.0480006 + 0.998847i \(0.484715\pi\)
\(410\) −1.38892 2.15431i −0.0685939 0.106394i
\(411\) −0.0201431 6.29630i −0.000993584 0.310574i
\(412\) −0.886597 1.43492i −0.0436795 0.0706933i
\(413\) 11.3699 20.7006i 0.559477 1.01861i
\(414\) 1.68410 + 4.92450i 0.0827689 + 0.242026i
\(415\) 2.36308 8.07396i 0.115999 0.396335i
\(416\) 12.6701 + 16.0376i 0.621203 + 0.786309i
\(417\) −10.5923 + 6.87714i −0.518709 + 0.336775i
\(418\) 10.0395 5.89664i 0.491046 0.288414i
\(419\) −6.98668 + 5.93056i −0.341322 + 0.289727i −0.801372 0.598166i \(-0.795896\pi\)
0.460051 + 0.887893i \(0.347831\pi\)
\(420\) 6.65366 9.76232i 0.324665 0.476352i
\(421\) −27.6379 + 2.83932i −1.34699 + 0.138380i −0.748704 0.662904i \(-0.769324\pi\)
−0.598284 + 0.801284i \(0.704150\pi\)
\(422\) 16.8032 + 2.71098i 0.817966 + 0.131968i
\(423\) −2.05029 + 2.27903i −0.0996885 + 0.110810i
\(424\) 0.991329 4.28905i 0.0481432 0.208295i
\(425\) −2.86320 2.69425i −0.138886 0.130690i
\(426\) 4.42076 29.1790i 0.214187 1.41373i
\(427\) −12.7455 + 6.02348i −0.616797 + 0.291497i
\(428\) −14.4808 + 12.6142i −0.699956 + 0.609730i
\(429\) −2.79959 20.2225i −0.135165 0.976352i
\(430\) 6.50836 22.7768i 0.313861 1.09839i
\(431\) 6.70810 + 33.9366i 0.323118 + 1.63467i 0.704110 + 0.710091i \(0.251346\pi\)
−0.380992 + 0.924578i \(0.624417\pi\)
\(432\) −23.2663 + 7.54322i −1.11940 + 0.362923i
\(433\) 0.214278 0.00274220i 0.0102975 0.000131782i −0.00764742 0.999971i \(-0.502434\pi\)
0.0179450 + 0.999839i \(0.494288\pi\)
\(434\) −2.92002 + 18.4746i −0.140166 + 0.886807i
\(435\) −1.32254 + 10.0250i −0.0634110 + 0.480664i
\(436\) −1.21114 22.2474i −0.0580032 1.06546i
\(437\) −0.856824 + 1.40678i −0.0409874 + 0.0672955i
\(438\) 12.1869 1.40981i 0.582315 0.0673636i
\(439\) 10.3582 4.03072i 0.494368 0.192376i −0.102472 0.994736i \(-0.532675\pi\)
0.596840 + 0.802360i \(0.296423\pi\)
\(440\) 0.322159 6.70823i 0.0153584 0.319802i
\(441\) −0.468767 + 1.49461i −0.0223223 + 0.0711719i
\(442\) 15.2422 15.8897i 0.724997 0.755794i
\(443\) −8.43406 21.4704i −0.400714 1.02009i −0.978928 0.204204i \(-0.934539\pi\)
0.578214 0.815885i \(-0.303750\pi\)
\(444\) 2.84158 + 3.69301i 0.134855 + 0.175263i
\(445\) 31.9008 13.6040i 1.51224 0.644893i
\(446\) −6.92505 9.88625i −0.327911 0.468128i
\(447\) −0.0137636 + 0.0519198i −0.000650997 + 0.00245572i
\(448\) −11.2837 11.4656i −0.533104 0.541700i
\(449\) −37.5276 + 5.80848i −1.77103 + 0.274119i −0.953420 0.301646i \(-0.902464\pi\)
−0.817615 + 0.575765i \(0.804704\pi\)
\(450\) 1.63885 + 2.27706i 0.0772561 + 0.107342i
\(451\) 4.10694 + 0.635668i 0.193388 + 0.0299324i
\(452\) 8.82422 + 17.3597i 0.415056 + 0.816530i
\(453\) −7.64480 1.28363i −0.359184 0.0603103i
\(454\) −53.5786 + 11.4841i −2.51457 + 0.538974i
\(455\) −4.51229 + 14.7160i −0.211539 + 0.689896i
\(456\) −0.510330 0.322128i −0.0238984 0.0150850i
\(457\) −2.49106 0.207682i −0.116527 0.00971496i 0.0246772 0.999695i \(-0.492144\pi\)
−0.141204 + 0.989981i \(0.545097\pi\)
\(458\) −22.9324 13.6673i −1.07156 0.638633i
\(459\) 10.0837 + 20.8172i 0.470668 + 0.971665i
\(460\) −2.58491 5.42458i −0.120522 0.252922i
\(461\) 13.8070 34.4979i 0.643056 1.60673i −0.143812 0.989605i \(-0.545936\pi\)
0.786868 0.617122i \(-0.211701\pi\)
\(462\) 10.0804 + 40.0900i 0.468982 + 1.86516i
\(463\) −10.1957 + 9.11356i −0.473836 + 0.423543i −0.868807 0.495150i \(-0.835113\pi\)
0.394971 + 0.918693i \(0.370755\pi\)
\(464\) 17.7102 + 5.99339i 0.822177 + 0.278236i
\(465\) −7.24700 4.01068i −0.336072 0.185991i
\(466\) −1.54007 6.66319i −0.0713422 0.308666i
\(467\) 17.1527 29.4189i 0.793734 1.36134i −0.135094 0.990833i \(-0.543134\pi\)
0.928828 0.370511i \(-0.120817\pi\)
\(468\) −5.94966 + 4.19601i −0.275023 + 0.193961i
\(469\) 4.58107 + 15.6522i 0.211534 + 0.722751i
\(470\) 4.42229 6.22812i 0.203985 0.287282i
\(471\) 0.494848 + 2.08024i 0.0228014 + 0.0958522i
\(472\) 3.80916 2.20464i 0.175331 0.101477i
\(473\) 20.6043 + 32.4121i 0.947384 + 1.49031i
\(474\) 16.3069 19.8457i 0.749000 0.911543i
\(475\) −0.222025 + 0.859705i −0.0101872 + 0.0394460i
\(476\) −12.5980 + 16.3728i −0.577427 + 0.750444i
\(477\) 12.5395 + 3.62653i 0.574144 + 0.166048i
\(478\) 2.78344 1.04232i 0.127312 0.0476746i
\(479\) −22.5775 + 19.9227i −1.03159 + 0.910293i −0.996025 0.0890740i \(-0.971609\pi\)
−0.0355682 + 0.999367i \(0.511324\pi\)
\(480\) 16.6685 7.61809i 0.760807 0.347717i
\(481\) −4.96127 3.49894i −0.226214 0.159538i
\(482\) 6.68312 19.5422i 0.304408 0.890125i
\(483\) −3.93908 4.32260i −0.179234 0.196685i
\(484\) −35.6553 34.8656i −1.62070 1.58480i
\(485\) 14.0723 23.7846i 0.638991 1.08000i
\(486\) −7.01024 26.4444i −0.317991 1.19954i
\(487\) 8.72914 10.3506i 0.395555 0.469029i −0.529804 0.848120i \(-0.677735\pi\)
0.925359 + 0.379091i \(0.123763\pi\)
\(488\) −2.61326 0.268468i −0.118297 0.0121530i
\(489\) −6.60386 1.77327i −0.298637 0.0801902i
\(490\) 0.732329 3.83367i 0.0330833 0.173188i
\(491\) −2.45384 7.32814i −0.110740 0.330714i 0.878351 0.478016i \(-0.158644\pi\)
−0.989092 + 0.147302i \(0.952941\pi\)
\(492\) 0.432574 + 1.29184i 0.0195020 + 0.0582405i
\(493\) 3.31772 17.3679i 0.149423 0.782213i
\(494\) −4.80258 1.28959i −0.216078 0.0580215i
\(495\) 19.8102 + 2.03516i 0.890403 + 0.0914736i
\(496\) −9.87336 + 11.7073i −0.443327 + 0.525674i
\(497\) −9.24414 34.8712i −0.414657 1.56419i
\(498\) −4.91360 + 8.30481i −0.220184 + 0.372147i
\(499\) 0.249515 + 0.243989i 0.0111698 + 0.0109224i 0.704709 0.709497i \(-0.251078\pi\)
−0.693539 + 0.720419i \(0.743949\pi\)
\(500\) −13.9155 15.2703i −0.622318 0.682908i
\(501\) −3.45638 + 10.1069i −0.154420 + 0.451542i
\(502\) −28.7333 20.2642i −1.28243 0.904436i
\(503\) −11.2626 + 5.14740i −0.502173 + 0.229511i −0.650612 0.759410i \(-0.725488\pi\)
0.148439 + 0.988922i \(0.452575\pi\)
\(504\) −1.74776 + 1.54225i −0.0778516 + 0.0686974i
\(505\) 12.8805 4.82337i 0.573173 0.214637i
\(506\) 20.1978 + 5.84139i 0.897903 + 0.259682i
\(507\) 4.18563 5.43979i 0.185890 0.241590i
\(508\) 7.73105 29.9355i 0.343010 1.32817i
\(509\) −17.5815 + 21.3970i −0.779287 + 0.948404i −0.999635 0.0270178i \(-0.991399\pi\)
0.220348 + 0.975421i \(0.429281\pi\)
\(510\) −10.5918 16.6617i −0.469012 0.737792i
\(511\) 12.9796 7.51223i 0.574183 0.332322i
\(512\) −6.75104 28.3800i −0.298357 1.25423i
\(513\) 3.02443 4.25944i 0.133532 0.188059i
\(514\) −0.676142 2.31018i −0.0298233 0.101898i
\(515\) 1.61033 1.13569i 0.0709596 0.0500444i
\(516\) −6.34155 + 10.8765i −0.279171 + 0.478811i
\(517\) 2.78890 + 12.0664i 0.122656 + 0.530678i
\(518\) 10.7555 + 5.95240i 0.472571 + 0.261533i
\(519\) 11.9056 + 4.02901i 0.522596 + 0.176854i
\(520\) −2.13855 + 1.91156i −0.0937816 + 0.0838276i
\(521\) −9.68822 38.5304i −0.424449 1.68805i −0.689884 0.723920i \(-0.742338\pi\)
0.265435 0.964129i \(-0.414485\pi\)
\(522\) −4.68839 + 11.7143i −0.205205 + 0.512722i
\(523\) −3.78149 7.93568i −0.165353 0.347003i 0.803240 0.595656i \(-0.203108\pi\)
−0.968593 + 0.248653i \(0.920012\pi\)
\(524\) −4.03014 8.31998i −0.176057 0.363460i
\(525\) −2.70801 1.61393i −0.118187 0.0704377i
\(526\) 36.2013 + 3.01814i 1.57845 + 0.131597i
\(527\) 12.2477 + 7.73091i 0.533518 + 0.336764i
\(528\) −9.92258 + 32.3607i −0.431825 + 1.40832i
\(529\) 19.5807 4.19694i 0.851336 0.182476i
\(530\) −32.0761 5.38586i −1.39330 0.233947i
\(531\) 5.91364 + 11.6338i 0.256630 + 0.504863i
\(532\) 4.61071 + 0.713642i 0.199900 + 0.0309403i
\(533\) −1.03684 1.44062i −0.0449107 0.0624000i
\(534\) −39.3111 + 6.08454i −1.70116 + 0.263304i
\(535\) −15.7370 15.9908i −0.680369 0.691341i
\(536\) −0.778763 + 2.93769i −0.0336374 + 0.126889i
\(537\) −15.2757 21.8077i −0.659194 0.941071i
\(538\) 22.3927 9.54932i 0.965418 0.411700i
\(539\) 3.85896 + 5.01523i 0.166217 + 0.216021i
\(540\) 6.96784 + 17.7379i 0.299848 + 0.763317i
\(541\) 12.2528 12.7733i 0.526789 0.549167i −0.403983 0.914767i \(-0.632374\pi\)
0.930772 + 0.365600i \(0.119136\pi\)
\(542\) 0.983164 3.13470i 0.0422305 0.134647i
\(543\) −0.675023 + 14.0558i −0.0289680 + 0.603192i
\(544\) −29.8653 + 11.6216i −1.28047 + 0.498273i
\(545\) 25.8566 2.99115i 1.10757 0.128127i
\(546\) 9.18388 15.0786i 0.393034 0.645305i
\(547\) −1.98355 36.4358i −0.0848106 1.55788i −0.667143 0.744930i \(-0.732483\pi\)
0.582332 0.812951i \(-0.302140\pi\)
\(548\) −1.18640 + 8.99310i −0.0506806 + 0.384166i
\(549\) 1.21612 7.69423i 0.0519029 0.328382i
\(550\) 11.3329 0.145032i 0.483238 0.00618419i
\(551\) −3.79871 + 1.23159i −0.161831 + 0.0524675i
\(552\) −0.211329 1.06913i −0.00899478 0.0455051i
\(553\) 8.62674 30.1903i 0.366847 1.28382i
\(554\) 1.41681 + 10.2342i 0.0601945 + 0.434808i
\(555\) −4.10474 + 3.57563i −0.174236 + 0.151777i
\(556\) 16.4499 7.77419i 0.697631 0.329699i
\(557\) −1.26945 + 8.37896i −0.0537885 + 0.355028i 0.945757 + 0.324875i \(0.105322\pi\)
−0.999545 + 0.0301527i \(0.990401\pi\)
\(558\) −7.52688 7.08273i −0.318638 0.299836i
\(559\) 3.69393 15.9820i 0.156237 0.675967i
\(560\) 17.0679 18.9721i 0.721249 0.801715i
\(561\) 31.6018 + 5.09855i 1.33423 + 0.215261i
\(562\) −43.1067 + 4.42848i −1.81835 + 0.186804i
\(563\) −5.31303 + 7.79533i −0.223917 + 0.328534i −0.921791 0.387687i \(-0.873274\pi\)
0.697874 + 0.716221i \(0.254130\pi\)
\(564\) −3.09508 + 2.62723i −0.130327 + 0.110626i
\(565\) −19.6168 + 11.5218i −0.825283 + 0.484727i
\(566\) 12.6555 8.21665i 0.531950 0.345372i
\(567\) 3.27443 + 4.14472i 0.137513 + 0.174062i
\(568\) 1.88838 6.45206i 0.0792348 0.270723i
\(569\) −2.22354 6.50190i −0.0932158 0.272574i 0.889725 0.456497i \(-0.150896\pi\)
−0.982941 + 0.183923i \(0.941120\pi\)
\(570\) −2.14660 + 3.90820i −0.0899110 + 0.163696i
\(571\) −13.1865 21.3418i −0.551840 0.893128i 0.448160 0.893953i \(-0.352080\pi\)
−1.00000 0.000825045i \(0.999737\pi\)
\(572\) 0.0940943 + 29.4119i 0.00393428 + 1.22977i
\(573\) −7.44024 11.5403i −0.310821 0.482104i
\(574\) 2.40370 + 2.67187i 0.100329 + 0.111522i
\(575\) −1.40292 + 0.776411i −0.0585056 + 0.0323786i
\(576\) 8.74686 1.58402i 0.364452 0.0660007i
\(577\) −36.4549 + 8.05807i −1.51764 + 0.335462i −0.894649 0.446769i \(-0.852575\pi\)
−0.622989 + 0.782231i \(0.714082\pi\)
\(578\) 0.830240 + 1.48892i 0.0345334 + 0.0619308i
\(579\) 1.79448 + 5.85235i 0.0745759 + 0.243215i
\(580\) 3.82298 14.0575i 0.158741 0.583705i
\(581\) −1.46790 + 11.7040i −0.0608989 + 0.485562i
\(582\) −22.3786 + 22.4503i −0.927622 + 0.930595i
\(583\) 41.0633 33.0859i 1.70067 1.37028i
\(584\) 2.79415 + 0.0536404i 0.115623 + 0.00221966i
\(585\) −5.31517 6.64007i −0.219755 0.274533i
\(586\) 0.932895 13.8650i 0.0385375 0.572759i
\(587\) 5.05209 30.6891i 0.208522 1.26668i −0.652375 0.757896i \(-0.726227\pi\)
0.860897 0.508779i \(-0.169903\pi\)
\(588\) −0.880358 + 1.87834i −0.0363053 + 0.0774613i
\(589\) 0.198705 3.26498i 0.00818748 0.134531i
\(590\) −17.9686 27.1025i −0.739755 1.11579i
\(591\) −24.3188 6.19758i −1.00034 0.254934i
\(592\) 5.01410 + 8.72760i 0.206078 + 0.358702i
\(593\) 17.1079 20.0243i 0.702537 0.822299i −0.288274 0.957548i \(-0.593082\pi\)
0.990812 + 0.135249i \(0.0431834\pi\)
\(594\) −62.5956 22.9847i −2.56833 0.943075i
\(595\) −19.9862 13.5285i −0.819355 0.554613i
\(596\) 0.0296706 0.0714694i 0.00121535 0.00292750i
\(597\) 7.99806 4.22788i 0.327339 0.173036i
\(598\) −4.27264 7.89833i −0.174721 0.322987i
\(599\) −4.95474 12.8542i −0.202445 0.525210i 0.794144 0.607729i \(-0.207919\pi\)
−0.996589 + 0.0825190i \(0.973703\pi\)
\(600\) −0.276204 0.518485i −0.0112760 0.0211671i
\(601\) −7.49179 + 7.14064i −0.305597 + 0.291273i −0.827191 0.561921i \(-0.810063\pi\)
0.521594 + 0.853194i \(0.325337\pi\)
\(602\) −3.92238 + 32.9818i −0.159864 + 1.34424i
\(603\) −8.57257 2.77933i −0.349102 0.113183i
\(604\) 10.6667 + 3.30805i 0.434023 + 0.134603i
\(605\) 38.1262 44.0517i 1.55005 1.79096i
\(606\) −15.6829 + 1.71262i −0.637073 + 0.0695703i
\(607\) 14.1559 + 11.4058i 0.574570 + 0.462949i 0.870437 0.492280i \(-0.163837\pi\)
−0.295867 + 0.955229i \(0.595608\pi\)
\(608\) 5.54762 + 4.64829i 0.224986 + 0.188513i
\(609\) −0.408171 14.1723i −0.0165399 0.574292i
\(610\) −0.807004 + 19.3929i −0.0326746 + 0.785197i
\(611\) 2.83761 4.46377i 0.114797 0.180585i
\(612\) −3.55534 10.8477i −0.143716 0.438490i
\(613\) −1.54065 1.20917i −0.0622263 0.0488377i 0.585800 0.810455i \(-0.300780\pi\)
−0.648027 + 0.761618i \(0.724405\pi\)
\(614\) 23.5391 + 47.8128i 0.949959 + 1.92957i
\(615\) −1.47570 + 0.596100i −0.0595061 + 0.0240371i
\(616\) 1.05219 + 9.35768i 0.0423940 + 0.377032i
\(617\) −39.7763 + 1.27295i −1.60134 + 0.0512471i −0.819813 0.572631i \(-0.805923\pi\)
−0.781522 + 0.623878i \(0.785556\pi\)
\(618\) −2.11157 + 0.806167i −0.0849399 + 0.0324288i
\(619\) 1.77702 + 0.665445i 0.0714245 + 0.0267465i 0.386147 0.922437i \(-0.373806\pi\)
−0.314723 + 0.949184i \(0.601912\pi\)
\(620\) 9.57248 + 7.12468i 0.384440 + 0.286134i
\(621\) 9.34038 1.32354i 0.374817 0.0531119i
\(622\) 10.4260 + 38.3373i 0.418043 + 1.53719i
\(623\) −41.1199 + 25.9554i −1.64743 + 1.03988i
\(624\) 12.8234 6.67400i 0.513348 0.267174i
\(625\) 13.5797 13.9765i 0.543189 0.559059i
\(626\) 12.6768 22.0655i 0.506668 0.881914i
\(627\) −2.42665 6.80993i −0.0969112 0.271962i
\(628\) −0.305015 3.06545i −0.0121714 0.122325i
\(629\) 7.52562 5.82899i 0.300066 0.232417i
\(630\) 12.1584 + 12.1973i 0.484400 + 0.485953i
\(631\) 14.0988 + 1.53964i 0.561266 + 0.0612920i 0.384775 0.923010i \(-0.374279\pi\)
0.176491 + 0.984302i \(0.443525\pi\)
\(632\) 4.28678 3.98241i 0.170519 0.158412i
\(633\) 3.61104 9.93222i 0.143526 0.394770i
\(634\) 4.13024 + 28.4911i 0.164033 + 1.13153i
\(635\) 35.4562 + 6.89068i 1.40704 + 0.273448i
\(636\) 15.8132 + 6.98401i 0.627036 + 0.276934i
\(637\) 0.370622 2.67715i 0.0146846 0.106072i
\(638\) 27.8945 + 42.6643i 1.10435 + 1.68909i
\(639\) 18.7993 + 6.63125i 0.743689 + 0.262328i
\(640\) 8.06642 2.44516i 0.318853 0.0966535i
\(641\) 22.4817 + 10.2750i 0.887975 + 0.405837i 0.806774 0.590861i \(-0.201212\pi\)
0.0812019 + 0.996698i \(0.474124\pi\)
\(642\) 12.9620 + 22.2314i 0.511571 + 0.877402i
\(643\) −6.84959 + 6.44540i −0.270121 + 0.254182i −0.808466 0.588543i \(-0.799702\pi\)
0.538344 + 0.842725i \(0.319050\pi\)
\(644\) 4.78957 + 6.93159i 0.188735 + 0.273143i
\(645\) −13.1330 6.62296i −0.517113 0.260779i
\(646\) 4.14070 6.60663i 0.162914 0.259934i
\(647\) −19.4984 15.1025i −0.766560 0.593741i 0.152296 0.988335i \(-0.451333\pi\)
−0.918856 + 0.394594i \(0.870885\pi\)
\(648\) 0.122494 + 0.976672i 0.00481200 + 0.0383673i
\(649\) 52.2009 + 7.39692i 2.04906 + 0.290354i
\(650\) −3.43924 3.40639i −0.134898 0.133609i
\(651\) 10.9272 + 3.93325i 0.428272 + 0.154156i
\(652\) 9.08607 + 3.80621i 0.355838 + 0.149063i
\(653\) 0.462950 + 5.34626i 0.0181166 + 0.209215i 0.999823 + 0.0188141i \(0.00598906\pi\)
−0.981706 + 0.190401i \(0.939021\pi\)
\(654\) −29.5868 3.99954i −1.15693 0.156394i
\(655\) 9.41586 5.28997i 0.367908 0.206696i
\(656\) 0.552160 + 2.89050i 0.0215582 + 0.112855i
\(657\) −0.609206 + 8.26444i −0.0237674 + 0.322426i
\(658\) −4.73056 + 9.60877i −0.184416 + 0.374589i
\(659\) −14.4078 + 6.92222i −0.561249 + 0.269651i −0.692162 0.721743i \(-0.743341\pi\)
0.130913 + 0.991394i \(0.458209\pi\)
\(660\) 25.6375 + 6.18540i 0.997940 + 0.240766i
\(661\) 18.4004 24.5577i 0.715692 0.955184i −0.284302 0.958735i \(-0.591762\pi\)
0.999994 + 0.00355119i \(0.00113038\pi\)
\(662\) 28.5769 32.5945i 1.11067 1.26682i
\(663\) −7.91514 11.1472i −0.307398 0.432923i
\(664\) −1.36264 + 1.72481i −0.0528808 + 0.0669357i
\(665\) −0.504961 + 5.42717i −0.0195816 + 0.210457i
\(666\) −6.06511 + 3.05862i −0.235018 + 0.118519i
\(667\) −6.33181 3.45146i −0.245169 0.133641i
\(668\) 6.88525 13.7625i 0.266398 0.532486i
\(669\) −6.83631 + 3.07172i −0.264307 + 0.118759i
\(670\) 22.0146 + 4.42475i 0.850498 + 0.170943i
\(671\) −22.6404 21.8574i −0.874024 0.843795i
\(672\) −21.3716 + 14.2677i −0.824429 + 0.550389i
\(673\) −13.8827 + 42.3574i −0.535139 + 1.63276i 0.218768 + 0.975777i \(0.429796\pi\)
−0.753907 + 0.656981i \(0.771833\pi\)
\(674\) 10.2801 + 12.5111i 0.395976 + 0.481908i
\(675\) 4.61147 2.14338i 0.177495 0.0824988i
\(676\) −7.02567 + 6.95856i −0.270218 + 0.267637i
\(677\) 36.8773 27.4474i 1.41731 1.05489i 0.428857 0.903373i \(-0.358917\pi\)
0.988455 0.151516i \(-0.0484154\pi\)
\(678\) 25.0677 7.24979i 0.962718 0.278427i
\(679\) −14.1676 + 36.0660i −0.543701 + 1.38409i
\(680\) −1.88258 4.08449i −0.0721936 0.156633i
\(681\) 0.761866 + 34.0149i 0.0291948 + 1.30346i
\(682\) −40.8813 + 8.48929i −1.56542 + 0.325072i
\(683\) −19.8097 + 20.9175i −0.757998 + 0.800386i −0.984825 0.173549i \(-0.944476\pi\)
0.226827 + 0.973935i \(0.427165\pi\)
\(684\) −1.76074 + 1.88319i −0.0673237 + 0.0720058i
\(685\) −10.5710 0.745237i −0.403897 0.0284740i
\(686\) 0.942972 32.7414i 0.0360028 1.25007i
\(687\) −11.0073 + 12.3939i −0.419954 + 0.472856i
\(688\) −16.7222 + 21.4474i −0.637527 + 0.817674i
\(689\) −22.3732 2.58819i −0.852353 0.0986021i
\(690\) −7.78981 + 2.03838i −0.296553 + 0.0775999i
\(691\) 3.73211 + 11.8994i 0.141976 + 0.452675i 0.997925 0.0643858i \(-0.0205088\pi\)
−0.855949 + 0.517061i \(0.827026\pi\)
\(692\) −16.2199 8.04992i −0.616589 0.306012i
\(693\) −27.8764 + 1.60705i −1.05894 + 0.0610466i
\(694\) −5.75178 + 6.31179i −0.218335 + 0.239592i
\(695\) 10.2328 + 18.6304i 0.388154 + 0.706691i
\(696\) 1.30149 2.29933i 0.0493329 0.0871559i
\(697\) 2.63617 0.892117i 0.0998521 0.0337913i
\(698\) 19.4227 + 3.51737i 0.735160 + 0.133134i
\(699\) −4.24323 + 0.162978i −0.160494 + 0.00616440i
\(700\) 3.55473 + 2.82684i 0.134356 + 0.106844i
\(701\) −16.9310 10.2380i −0.639475 0.386683i 0.160228 0.987080i \(-0.448777\pi\)
−0.799702 + 0.600397i \(0.795009\pi\)
\(702\) 11.7555 + 25.9403i 0.443682 + 0.979054i
\(703\) −1.97208 0.855942i −0.0743783 0.0322824i
\(704\) 15.0319 32.6135i 0.566534 1.22917i
\(705\) −3.28324 3.42271i −0.123654 0.128907i
\(706\) −44.2447 + 21.9586i −1.66517 + 0.826421i
\(707\) −16.7523 + 9.55323i −0.630036 + 0.359286i
\(708\) 5.69704 + 16.3171i 0.214108 + 0.613234i
\(709\) −40.7492 + 7.91933i −1.53037 + 0.297417i −0.884685 0.466190i \(-0.845626\pi\)
−0.645682 + 0.763606i \(0.723427\pi\)
\(710\) −48.4307 11.0307i −1.81757 0.413975i
\(711\) 11.1004 + 13.3345i 0.416298 + 0.500083i
\(712\) −9.05990 + 0.173927i −0.339534 + 0.00651818i
\(713\) 4.52769 3.79370i 0.169563 0.142075i
\(714\) 18.3825 + 20.6982i 0.687948 + 0.774610i
\(715\) −34.2904 + 2.19702i −1.28239 + 0.0821638i
\(716\) 17.6002 + 34.0829i 0.657752 + 1.27374i
\(717\) −0.311417 1.81902i −0.0116301 0.0679326i
\(718\) 4.49044 + 28.4104i 0.167582 + 1.06026i
\(719\) 32.1880 0.823982i 1.20041 0.0307293i 0.579741 0.814801i \(-0.303154\pi\)
0.620670 + 0.784072i \(0.286861\pi\)
\(720\) 3.35113 + 13.6976i 0.124889 + 0.510478i
\(721\) −1.97543 + 1.93168i −0.0735690 + 0.0719397i
\(722\) 34.8613 + 2.00971i 1.29740 + 0.0747938i
\(723\) −11.1400 6.35271i −0.414300 0.236260i
\(724\) 3.67644 19.9371i 0.136634 0.740958i
\(725\) −3.80612 0.790370i −0.141356 0.0293536i
\(726\) −54.8553 + 38.1636i −2.03587 + 1.41639i
\(727\) 0.254454 0.158347i 0.00943716 0.00587277i −0.523624 0.851949i \(-0.675420\pi\)
0.533061 + 0.846077i \(0.321042\pi\)
\(728\) 2.53334 3.12364i 0.0938918 0.115770i
\(729\) −22.5327 + 1.58852i −0.834546 + 0.0588341i
\(730\) −0.858504 20.6305i −0.0317747 0.763570i
\(731\) 22.2602 + 12.8836i 0.823324 + 0.476518i
\(732\) 2.96104 9.88203i 0.109443 0.365250i
\(733\) −23.3732 + 41.9165i −0.863309 + 1.54822i −0.0272199 + 0.999629i \(0.508665\pi\)
−0.836089 + 0.548593i \(0.815163\pi\)
\(734\) −59.6269 12.7805i −2.20087 0.471736i
\(735\) −2.25279 0.893278i −0.0830955 0.0329491i
\(736\) 0.793960 + 13.0458i 0.0292658 + 0.480875i
\(737\) −29.0656 + 21.9236i −1.07065 + 0.807565i
\(738\) −1.96805 + 0.266041i −0.0724448 + 0.00979309i
\(739\) 9.05616 + 40.3572i 0.333136 + 1.48457i 0.799873 + 0.600169i \(0.204900\pi\)
−0.466737 + 0.884396i \(0.654571\pi\)
\(740\) 6.55040 4.31271i 0.240797 0.158539i
\(741\) −1.34603 + 2.77879i −0.0494476 + 0.102082i
\(742\) 45.6035 + 0.291791i 1.67416 + 0.0107120i
\(743\) −13.1992 14.1171i −0.484231 0.517907i 0.440899 0.897557i \(-0.354660\pi\)
−0.925130 + 0.379649i \(0.876045\pi\)
\(744\) 1.36323 + 1.68088i 0.0499783 + 0.0616240i
\(745\) 0.0854456 + 0.0295266i 0.00313048 + 0.00108177i
\(746\) 44.2200 + 16.8826i 1.61901 + 0.618114i
\(747\) −4.88729 4.31262i −0.178817 0.157790i
\(748\) −44.1338 13.3782i −1.61369 0.489155i
\(749\) 25.3548 + 18.6204i 0.926444 + 0.680374i
\(750\) −23.5977 + 14.4763i −0.861666 + 0.528598i
\(751\) −0.117428 + 36.7054i −0.00428499 + 1.33940i 0.740482 + 0.672076i \(0.234597\pi\)
−0.744767 + 0.667324i \(0.767440\pi\)
\(752\) −7.38564 + 4.72827i −0.269326 + 0.172422i
\(753\) −15.7065 + 15.1632i −0.572375 + 0.552579i
\(754\) 4.63080 21.2725i 0.168644 0.774700i
\(755\) −3.10050 + 12.6732i −0.112839 + 0.461223i
\(756\) −13.6065 22.9972i −0.494862 0.836400i
\(757\) 25.9679 26.3866i 0.943818 0.959038i −0.0554040 0.998464i \(-0.517645\pi\)
0.999222 + 0.0394263i \(0.0125530\pi\)
\(758\) −31.3579 + 43.5695i −1.13897 + 1.58252i
\(759\) 5.91573 11.6379i 0.214727 0.422428i
\(760\) −0.603843 + 0.816744i −0.0219037 + 0.0296264i
\(761\) 20.0827 29.8744i 0.727996 1.08295i −0.264937 0.964266i \(-0.585351\pi\)
0.992932 0.118682i \(-0.0378668\pi\)
\(762\) −37.4576 17.7024i −1.35694 0.641289i
\(763\) −35.1234 + 9.91494i −1.27155 + 0.358945i
\(764\) 8.39518 + 17.9120i 0.303727 + 0.648033i
\(765\) 12.3971 4.91569i 0.448217 0.177727i
\(766\) −6.69128 + 1.12353i −0.241766 + 0.0405947i
\(767\) −13.3865 18.1063i −0.483359 0.653781i
\(768\) −23.2782 + 1.04329i −0.839978 + 0.0376465i
\(769\) 3.14592 + 1.84774i 0.113445 + 0.0666313i 0.562076 0.827086i \(-0.310003\pi\)
−0.448631 + 0.893717i \(0.648088\pi\)
\(770\) 68.5393 11.9598i