Properties

Label 300.2.r.a.239.5
Level $300$
Weight $2$
Character 300.239
Analytic conductor $2.396$
Analytic rank $0$
Dimension $224$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 300.r (of order \(10\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.39551206064\)
Analytic rank: \(0\)
Dimension: \(224\)
Relative dimension: \(56\) over \(\Q(\zeta_{10})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label 239.5
Character \(\chi\) \(=\) 300.239
Dual form 300.2.r.a.59.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.37668 - 0.323633i) q^{2} +(-1.44316 + 0.957755i) q^{3} +(1.79052 + 0.891082i) q^{4} +(2.16605 - 0.555182i) q^{5} +(2.29674 - 0.851472i) q^{6} +0.146941 q^{7} +(-2.17660 - 1.80621i) q^{8} +(1.16541 - 2.76438i) q^{9} +O(q^{10})\) \(q+(-1.37668 - 0.323633i) q^{2} +(-1.44316 + 0.957755i) q^{3} +(1.79052 + 0.891082i) q^{4} +(2.16605 - 0.555182i) q^{5} +(2.29674 - 0.851472i) q^{6} +0.146941 q^{7} +(-2.17660 - 1.80621i) q^{8} +(1.16541 - 2.76438i) q^{9} +(-3.16164 + 0.0633046i) q^{10} +(-0.745075 + 0.541329i) q^{11} +(-3.43745 + 0.428909i) q^{12} +(0.637074 - 0.876857i) q^{13} +(-0.202292 - 0.0475550i) q^{14} +(-2.59423 + 2.87576i) q^{15} +(2.41194 + 3.19101i) q^{16} +(0.898908 + 2.76655i) q^{17} +(-2.49905 + 3.42852i) q^{18} +(5.30677 - 1.72427i) q^{19} +(4.37308 + 0.936063i) q^{20} +(-0.212059 + 0.140734i) q^{21} +(1.20093 - 0.504108i) q^{22} +(-0.697301 - 0.959752i) q^{23} +(4.87109 + 0.522000i) q^{24} +(4.38355 - 2.40510i) q^{25} +(-1.16083 + 1.00098i) q^{26} +(0.965727 + 5.10562i) q^{27} +(0.263101 + 0.130937i) q^{28} +(8.42084 + 2.73610i) q^{29} +(4.50212 - 3.11944i) q^{30} +(5.35508 - 1.73997i) q^{31} +(-2.28777 - 5.17360i) q^{32} +(0.556801 - 1.49482i) q^{33} +(-0.342164 - 4.09959i) q^{34} +(0.318282 - 0.0815791i) q^{35} +(4.54999 - 3.91121i) q^{36} +(-2.39694 + 3.29910i) q^{37} +(-7.86378 + 0.656334i) q^{38} +(-0.0795846 + 1.87560i) q^{39} +(-5.71741 - 2.70394i) q^{40} +(-5.60638 + 7.71652i) q^{41} +(0.337485 - 0.125116i) q^{42} +4.69246 q^{43} +(-1.81644 + 0.305338i) q^{44} +(0.989605 - 6.63481i) q^{45} +(0.649356 + 1.54695i) q^{46} +(7.15582 + 2.32507i) q^{47} +(-6.53702 - 2.29508i) q^{48} -6.97841 q^{49} +(-6.81313 + 1.89241i) q^{50} +(-3.94695 - 3.13164i) q^{51} +(1.92205 - 1.00235i) q^{52} +(1.73582 - 5.34231i) q^{53} +(0.322847 - 7.34137i) q^{54} +(-1.31333 + 1.58620i) q^{55} +(-0.319832 - 0.265407i) q^{56} +(-6.00707 + 7.57098i) q^{57} +(-10.7074 - 6.49201i) q^{58} +(-8.62564 - 6.26690i) q^{59} +(-7.20756 + 2.83745i) q^{60} +(3.04517 - 2.21244i) q^{61} +(-7.93538 + 0.662310i) q^{62} +(0.171247 - 0.406202i) q^{63} +(1.47519 + 7.86281i) q^{64} +(0.893119 - 2.25301i) q^{65} +(-1.25031 + 1.87770i) q^{66} +(2.55608 + 7.86680i) q^{67} +(-0.855712 + 5.75458i) q^{68} +(1.92552 + 0.717231i) q^{69} +(-0.464576 + 0.00930204i) q^{70} +(-1.75400 + 5.39826i) q^{71} +(-7.52970 + 3.91198i) q^{72} +(-9.19992 - 12.6626i) q^{73} +(4.36753 - 3.76610i) q^{74} +(-4.02265 + 7.66931i) q^{75} +(11.0384 + 1.64142i) q^{76} +(-0.109482 + 0.0795435i) q^{77} +(0.716571 - 2.55636i) q^{78} +(-14.8258 - 4.81719i) q^{79} +(6.99598 + 5.57281i) q^{80} +(-6.28363 - 6.44329i) q^{81} +(10.2155 - 8.80880i) q^{82} +(13.5654 - 4.40767i) q^{83} +(-0.505102 + 0.0630243i) q^{84} +(3.48302 + 5.49344i) q^{85} +(-6.46004 - 1.51864i) q^{86} +(-14.7731 + 4.11648i) q^{87} +(2.59949 + 0.167507i) q^{88} +(1.57359 + 2.16586i) q^{89} +(-3.50962 + 8.81377i) q^{90} +(0.0936124 - 0.128846i) q^{91} +(-0.393315 - 2.33981i) q^{92} +(-6.06177 + 7.63991i) q^{93} +(-9.09884 - 5.51675i) q^{94} +(10.5374 - 6.68108i) q^{95} +(8.25665 + 5.27519i) q^{96} +(5.03546 + 1.63612i) q^{97} +(9.60707 + 2.25845i) q^{98} +(0.628121 + 2.69054i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224q - 6q^{4} - 7q^{6} - 6q^{9} + O(q^{10}) \) \( 224q - 6q^{4} - 7q^{6} - 6q^{9} - 5q^{12} - 20q^{13} + 6q^{16} - 24q^{21} - 10q^{22} - 28q^{24} - 20q^{25} - 50q^{28} - 25q^{30} - 10q^{33} - 14q^{34} - 25q^{36} - 60q^{37} - 20q^{40} - 85q^{42} - 30q^{45} + 6q^{46} - 70q^{48} + 88q^{49} + 40q^{52} - 46q^{54} + 50q^{58} + 10q^{60} - 28q^{61} + 18q^{64} + 64q^{66} - 42q^{69} - 40q^{70} - 5q^{72} - 20q^{73} - 80q^{76} - 85q^{78} + 18q^{81} - 48q^{84} - 20q^{85} + 50q^{88} - 60q^{90} + 60q^{94} + 44q^{96} - 120q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(151\) \(277\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{3}{10}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.37668 0.323633i −0.973463 0.228843i
\(3\) −1.44316 + 0.957755i −0.833208 + 0.552960i
\(4\) 1.79052 + 0.891082i 0.895261 + 0.445541i
\(5\) 2.16605 0.555182i 0.968687 0.248285i
\(6\) 2.29674 0.851472i 0.937638 0.347612i
\(7\) 0.146941 0.0555385 0.0277693 0.999614i \(-0.491160\pi\)
0.0277693 + 0.999614i \(0.491160\pi\)
\(8\) −2.17660 1.80621i −0.769545 0.638593i
\(9\) 1.16541 2.76438i 0.388471 0.921461i
\(10\) −3.16164 + 0.0633046i −0.999800 + 0.0200187i
\(11\) −0.745075 + 0.541329i −0.224649 + 0.163217i −0.694417 0.719573i \(-0.744338\pi\)
0.469768 + 0.882790i \(0.344338\pi\)
\(12\) −3.43745 + 0.428909i −0.992305 + 0.123815i
\(13\) 0.637074 0.876857i 0.176693 0.243196i −0.711480 0.702706i \(-0.751975\pi\)
0.888173 + 0.459510i \(0.151975\pi\)
\(14\) −0.202292 0.0475550i −0.0540647 0.0127096i
\(15\) −2.59423 + 2.87576i −0.669826 + 0.742518i
\(16\) 2.41194 + 3.19101i 0.602986 + 0.797752i
\(17\) 0.898908 + 2.76655i 0.218017 + 0.670988i 0.998926 + 0.0463424i \(0.0147565\pi\)
−0.780908 + 0.624646i \(0.785243\pi\)
\(18\) −2.49905 + 3.42852i −0.589032 + 0.808110i
\(19\) 5.30677 1.72427i 1.21746 0.395575i 0.371301 0.928513i \(-0.378912\pi\)
0.846155 + 0.532937i \(0.178912\pi\)
\(20\) 4.37308 + 0.936063i 0.977849 + 0.209310i
\(21\) −0.212059 + 0.140734i −0.0462751 + 0.0307106i
\(22\) 1.20093 0.504108i 0.256038 0.107476i
\(23\) −0.697301 0.959752i −0.145397 0.200122i 0.730107 0.683333i \(-0.239470\pi\)
−0.875504 + 0.483211i \(0.839470\pi\)
\(24\) 4.87109 + 0.522000i 0.994307 + 0.106553i
\(25\) 4.38355 2.40510i 0.876709 0.481021i
\(26\) −1.16083 + 1.00098i −0.227658 + 0.196308i
\(27\) 0.965727 + 5.10562i 0.185854 + 0.982577i
\(28\) 0.263101 + 0.130937i 0.0497215 + 0.0247447i
\(29\) 8.42084 + 2.73610i 1.56371 + 0.508081i 0.957796 0.287449i \(-0.0928070\pi\)
0.605915 + 0.795529i \(0.292807\pi\)
\(30\) 4.50212 3.11944i 0.821971 0.569529i
\(31\) 5.35508 1.73997i 0.961801 0.312508i 0.214300 0.976768i \(-0.431253\pi\)
0.747502 + 0.664260i \(0.231253\pi\)
\(32\) −2.28777 5.17360i −0.404425 0.914571i
\(33\) 0.556801 1.49482i 0.0969266 0.260215i
\(34\) −0.342164 4.09959i −0.0586806 0.703074i
\(35\) 0.318282 0.0815791i 0.0537994 0.0137894i
\(36\) 4.54999 3.91121i 0.758332 0.651869i
\(37\) −2.39694 + 3.29910i −0.394054 + 0.542369i −0.959239 0.282595i \(-0.908805\pi\)
0.565185 + 0.824964i \(0.308805\pi\)
\(38\) −7.86378 + 0.656334i −1.27567 + 0.106471i
\(39\) −0.0795846 + 1.87560i −0.0127437 + 0.300337i
\(40\) −5.71741 2.70394i −0.904001 0.427530i
\(41\) −5.60638 + 7.71652i −0.875569 + 1.20512i 0.102059 + 0.994778i \(0.467457\pi\)
−0.977628 + 0.210339i \(0.932543\pi\)
\(42\) 0.337485 0.125116i 0.0520751 0.0193059i
\(43\) 4.69246 0.715594 0.357797 0.933799i \(-0.383528\pi\)
0.357797 + 0.933799i \(0.383528\pi\)
\(44\) −1.81644 + 0.305338i −0.273839 + 0.0460315i
\(45\) 0.989605 6.63481i 0.147522 0.989059i
\(46\) 0.649356 + 1.54695i 0.0957423 + 0.228085i
\(47\) 7.15582 + 2.32507i 1.04378 + 0.339146i 0.780226 0.625498i \(-0.215104\pi\)
0.263558 + 0.964644i \(0.415104\pi\)
\(48\) −6.53702 2.29508i −0.943537 0.331266i
\(49\) −6.97841 −0.996915
\(50\) −6.81313 + 1.89241i −0.963523 + 0.267627i
\(51\) −3.94695 3.13164i −0.552683 0.438518i
\(52\) 1.92205 1.00235i 0.266540 0.139001i
\(53\) 1.73582 5.34231i 0.238434 0.733823i −0.758214 0.652006i \(-0.773928\pi\)
0.996647 0.0818172i \(-0.0260724\pi\)
\(54\) 0.322847 7.34137i 0.0439340 0.999034i
\(55\) −1.31333 + 1.58620i −0.177090 + 0.213883i
\(56\) −0.319832 0.265407i −0.0427394 0.0354665i
\(57\) −6.00707 + 7.57098i −0.795656 + 1.00280i
\(58\) −10.7074 6.49201i −1.40594 0.852443i
\(59\) −8.62564 6.26690i −1.12296 0.815880i −0.138307 0.990389i \(-0.544166\pi\)
−0.984656 + 0.174509i \(0.944166\pi\)
\(60\) −7.20756 + 2.83745i −0.930492 + 0.366313i
\(61\) 3.04517 2.21244i 0.389894 0.283274i −0.375518 0.926815i \(-0.622535\pi\)
0.765412 + 0.643541i \(0.222535\pi\)
\(62\) −7.93538 + 0.662310i −1.00779 + 0.0841134i
\(63\) 0.171247 0.406202i 0.0215751 0.0511766i
\(64\) 1.47519 + 7.86281i 0.184399 + 0.982851i
\(65\) 0.893119 2.25301i 0.110778 0.279451i
\(66\) −1.25031 + 1.87770i −0.153903 + 0.231129i
\(67\) 2.55608 + 7.86680i 0.312275 + 0.961083i 0.976862 + 0.213872i \(0.0686075\pi\)
−0.664587 + 0.747211i \(0.731392\pi\)
\(68\) −0.855712 + 5.75458i −0.103770 + 0.697845i
\(69\) 1.92552 + 0.717231i 0.231806 + 0.0863445i
\(70\) −0.464576 + 0.00930204i −0.0555274 + 0.00111181i
\(71\) −1.75400 + 5.39826i −0.208162 + 0.640656i 0.791407 + 0.611290i \(0.209349\pi\)
−0.999569 + 0.0293663i \(0.990651\pi\)
\(72\) −7.52970 + 3.91198i −0.887384 + 0.461031i
\(73\) −9.19992 12.6626i −1.07677 1.48205i −0.863028 0.505156i \(-0.831435\pi\)
−0.213742 0.976890i \(-0.568565\pi\)
\(74\) 4.36753 3.76610i 0.507715 0.437800i
\(75\) −4.02265 + 7.66931i −0.464496 + 0.885575i
\(76\) 11.0384 + 1.64142i 1.26619 + 0.188283i
\(77\) −0.109482 + 0.0795435i −0.0124767 + 0.00906482i
\(78\) 0.716571 2.55636i 0.0811357 0.289451i
\(79\) −14.8258 4.81719i −1.66803 0.541976i −0.685500 0.728073i \(-0.740416\pi\)
−0.982531 + 0.186097i \(0.940416\pi\)
\(80\) 6.99598 + 5.57281i 0.782175 + 0.623059i
\(81\) −6.28363 6.44329i −0.698181 0.715921i
\(82\) 10.2155 8.80880i 1.12812 0.972770i
\(83\) 13.5654 4.40767i 1.48900 0.483805i 0.552211 0.833705i \(-0.313784\pi\)
0.936787 + 0.349900i \(0.113784\pi\)
\(84\) −0.505102 + 0.0630243i −0.0551112 + 0.00687652i
\(85\) 3.48302 + 5.49344i 0.377787 + 0.595847i
\(86\) −6.46004 1.51864i −0.696604 0.163759i
\(87\) −14.7731 + 4.11648i −1.58384 + 0.441333i
\(88\) 2.59949 + 0.167507i 0.277106 + 0.0178563i
\(89\) 1.57359 + 2.16586i 0.166800 + 0.229581i 0.884232 0.467048i \(-0.154682\pi\)
−0.717432 + 0.696629i \(0.754682\pi\)
\(90\) −3.50962 + 8.81377i −0.369946 + 0.929053i
\(91\) 0.0936124 0.128846i 0.00981324 0.0135068i
\(92\) −0.393315 2.33981i −0.0410059 0.243942i
\(93\) −6.06177 + 7.63991i −0.628576 + 0.792222i
\(94\) −9.09884 5.51675i −0.938474 0.569009i
\(95\) 10.5374 6.68108i 1.08112 0.685464i
\(96\) 8.25665 + 5.27519i 0.842691 + 0.538397i
\(97\) 5.03546 + 1.63612i 0.511273 + 0.166123i 0.553281 0.832994i \(-0.313375\pi\)
−0.0420079 + 0.999117i \(0.513375\pi\)
\(98\) 9.60707 + 2.25845i 0.970461 + 0.228137i
\(99\) 0.628121 + 2.69054i 0.0631285 + 0.270410i
\(100\) 9.99199 0.400293i 0.999199 0.0400293i
\(101\) 4.07998i 0.405973i 0.979182 + 0.202987i \(0.0650648\pi\)
−0.979182 + 0.202987i \(0.934935\pi\)
\(102\) 4.42020 + 5.58865i 0.437665 + 0.553359i
\(103\) −0.378305 + 1.16430i −0.0372755 + 0.114722i −0.967963 0.251093i \(-0.919210\pi\)
0.930687 + 0.365816i \(0.119210\pi\)
\(104\) −2.97045 + 0.757878i −0.291276 + 0.0743160i
\(105\) −0.381198 + 0.422567i −0.0372012 + 0.0412384i
\(106\) −4.11863 + 6.79291i −0.400037 + 0.659786i
\(107\) 11.9386i 1.15414i −0.816693 0.577072i \(-0.804195\pi\)
0.816693 0.577072i \(-0.195805\pi\)
\(108\) −2.82037 + 10.0023i −0.271390 + 0.962469i
\(109\) −7.65264 5.55996i −0.732990 0.532548i 0.157518 0.987516i \(-0.449651\pi\)
−0.890508 + 0.454968i \(0.849651\pi\)
\(110\) 2.32139 1.75866i 0.221336 0.167681i
\(111\) 0.299431 7.05681i 0.0284207 0.669803i
\(112\) 0.354414 + 0.468890i 0.0334890 + 0.0443059i
\(113\) −9.66884 7.02482i −0.909568 0.660840i 0.0313375 0.999509i \(-0.490023\pi\)
−0.940906 + 0.338669i \(0.890023\pi\)
\(114\) 10.7201 8.47876i 1.00403 0.794109i
\(115\) −2.04323 1.69174i −0.190532 0.157756i
\(116\) 12.6396 + 12.4027i 1.17356 + 1.15156i
\(117\) −1.68152 2.78302i −0.155456 0.257290i
\(118\) 9.84662 + 11.4191i 0.906454 + 1.05121i
\(119\) 0.132087 + 0.406521i 0.0121084 + 0.0372657i
\(120\) 10.8408 1.57366i 0.989628 0.143655i
\(121\) −3.13709 + 9.65496i −0.285190 + 0.877724i
\(122\) −4.90826 + 2.06032i −0.444373 + 0.186533i
\(123\) 0.700361 16.5057i 0.0631494 1.48827i
\(124\) 11.1389 + 1.65636i 1.00030 + 0.148746i
\(125\) 8.15971 7.64324i 0.729827 0.683632i
\(126\) −0.367213 + 0.503790i −0.0327140 + 0.0448812i
\(127\) −8.70175 + 6.32219i −0.772155 + 0.561004i −0.902614 0.430450i \(-0.858355\pi\)
0.130459 + 0.991454i \(0.458355\pi\)
\(128\) 0.513793 11.3020i 0.0454133 0.998968i
\(129\) −6.77196 + 4.49423i −0.596238 + 0.395695i
\(130\) −1.95869 + 2.81264i −0.171789 + 0.246685i
\(131\) −2.17567 6.69603i −0.190089 0.585035i 0.809909 0.586555i \(-0.199516\pi\)
−0.999999 + 0.00151987i \(0.999516\pi\)
\(132\) 2.32898 2.18036i 0.202711 0.189776i
\(133\) 0.779782 0.253367i 0.0676157 0.0219697i
\(134\) −0.972956 11.6573i −0.0840506 1.00704i
\(135\) 4.92636 + 10.5229i 0.423994 + 0.905665i
\(136\) 3.04042 7.64531i 0.260714 0.655580i
\(137\) 2.36035 + 1.71490i 0.201658 + 0.146513i 0.684032 0.729452i \(-0.260225\pi\)
−0.482373 + 0.875966i \(0.660225\pi\)
\(138\) −2.41872 1.61056i −0.205895 0.137100i
\(139\) −10.8515 14.9358i −0.920411 1.26684i −0.963484 0.267765i \(-0.913715\pi\)
0.0430731 0.999072i \(-0.486285\pi\)
\(140\) 0.642585 + 0.137546i 0.0543083 + 0.0116248i
\(141\) −12.5538 + 3.49808i −1.05722 + 0.294592i
\(142\) 4.16177 6.86405i 0.349248 0.576019i
\(143\) 0.998191i 0.0834729i
\(144\) 11.6321 2.94870i 0.969340 0.245725i
\(145\) 19.7590 + 1.25143i 1.64090 + 0.103925i
\(146\) 8.56736 + 20.4098i 0.709039 + 1.68913i
\(147\) 10.0709 6.68360i 0.830638 0.551254i
\(148\) −7.23155 + 3.77125i −0.594430 + 0.309995i
\(149\) 0.291492i 0.0238800i −0.999929 0.0119400i \(-0.996199\pi\)
0.999929 0.0119400i \(-0.00380070\pi\)
\(150\) 8.01997 9.25636i 0.654828 0.755778i
\(151\) 7.97245i 0.648789i −0.945922 0.324394i \(-0.894840\pi\)
0.945922 0.324394i \(-0.105160\pi\)
\(152\) −14.6651 5.83209i −1.18950 0.473045i
\(153\) 8.69541 + 0.739249i 0.702983 + 0.0597647i
\(154\) 0.176465 0.0740742i 0.0142200 0.00596907i
\(155\) 10.6334 6.74191i 0.854093 0.541523i
\(156\) −1.81382 + 3.28740i −0.145221 + 0.263202i
\(157\) 15.7367i 1.25593i 0.778243 + 0.627963i \(0.216111\pi\)
−0.778243 + 0.627963i \(0.783889\pi\)
\(158\) 18.8514 + 11.4299i 1.49974 + 0.909312i
\(159\) 2.61156 + 9.37230i 0.207110 + 0.743272i
\(160\) −7.82772 9.93614i −0.618835 0.785521i
\(161\) −0.102462 0.141027i −0.00807515 0.0111145i
\(162\) 6.56532 + 10.9040i 0.515820 + 0.856697i
\(163\) 10.4684 + 7.60573i 0.819947 + 0.595726i 0.916697 0.399582i \(-0.130845\pi\)
−0.0967503 + 0.995309i \(0.530845\pi\)
\(164\) −16.9144 + 8.82086i −1.32079 + 0.688793i
\(165\) 0.376161 3.54699i 0.0292841 0.276132i
\(166\) −20.1018 + 1.67775i −1.56020 + 0.130219i
\(167\) −15.5039 + 5.03753i −1.19973 + 0.389816i −0.839662 0.543110i \(-0.817247\pi\)
−0.360068 + 0.932926i \(0.617247\pi\)
\(168\) 0.715763 + 0.0767032i 0.0552223 + 0.00591778i
\(169\) 3.65421 + 11.2465i 0.281093 + 0.865115i
\(170\) −3.01716 8.68995i −0.231406 0.666489i
\(171\) 1.41802 16.6794i 0.108438 1.27551i
\(172\) 8.40196 + 4.18137i 0.640643 + 0.318826i
\(173\) −5.38601 + 3.91317i −0.409491 + 0.297512i −0.773396 0.633924i \(-0.781443\pi\)
0.363905 + 0.931436i \(0.381443\pi\)
\(174\) 21.6702 0.886021i 1.64281 0.0671691i
\(175\) 0.644123 0.353409i 0.0486911 0.0267152i
\(176\) −3.52446 1.07188i −0.265666 0.0807963i
\(177\) 18.4503 + 0.782874i 1.38681 + 0.0588444i
\(178\) −1.46539 3.49097i −0.109836 0.261660i
\(179\) −3.59156 + 11.0537i −0.268446 + 0.826192i 0.722434 + 0.691440i \(0.243024\pi\)
−0.990879 + 0.134751i \(0.956976\pi\)
\(180\) 7.68407 10.9980i 0.572737 0.819739i
\(181\) 2.54354 + 7.82821i 0.189060 + 0.581866i 0.999995 0.00327021i \(-0.00104094\pi\)
−0.810935 + 0.585136i \(0.801041\pi\)
\(182\) −0.170574 + 0.147085i −0.0126438 + 0.0109026i
\(183\) −2.27568 + 6.10943i −0.168223 + 0.451622i
\(184\) −0.215770 + 3.34847i −0.0159068 + 0.246853i
\(185\) −3.36029 + 8.47676i −0.247053 + 0.623224i
\(186\) 10.8177 8.55596i 0.793190 0.627353i
\(187\) −2.16737 1.57469i −0.158494 0.115152i
\(188\) 10.7408 + 10.5395i 0.783356 + 0.768673i
\(189\) 0.141905 + 0.750226i 0.0103221 + 0.0545709i
\(190\) −16.6689 + 5.78748i −1.20929 + 0.419868i
\(191\) −1.14157 0.829402i −0.0826014 0.0600134i 0.545718 0.837969i \(-0.316257\pi\)
−0.628320 + 0.777955i \(0.716257\pi\)
\(192\) −9.65958 9.93441i −0.697120 0.716954i
\(193\) 7.01448i 0.504914i −0.967608 0.252457i \(-0.918761\pi\)
0.967608 0.252457i \(-0.0812385\pi\)
\(194\) −6.40274 3.88206i −0.459690 0.278716i
\(195\) 0.868917 + 4.10684i 0.0622245 + 0.294097i
\(196\) −12.4950 6.21834i −0.892500 0.444167i
\(197\) 6.28495 19.3431i 0.447784 1.37814i −0.431617 0.902057i \(-0.642057\pi\)
0.879401 0.476082i \(-0.157943\pi\)
\(198\) 0.00602542 3.90731i 0.000428208 0.277681i
\(199\) 0.0501295i 0.00355358i 0.999998 + 0.00177679i \(0.000565571\pi\)
−0.999998 + 0.00177679i \(0.999434\pi\)
\(200\) −13.8854 2.68266i −0.981843 0.189693i
\(201\) −11.2233 8.90494i −0.791630 0.628106i
\(202\) 1.32042 5.61685i 0.0929042 0.395200i
\(203\) 1.23737 + 0.402045i 0.0868462 + 0.0282180i
\(204\) −4.27655 9.12433i −0.299418 0.638831i
\(205\) −7.85963 + 19.8269i −0.548940 + 1.38477i
\(206\) 0.897615 1.48045i 0.0625398 0.103148i
\(207\) −3.46577 + 0.809100i −0.240887 + 0.0562363i
\(208\) 4.33464 0.0820235i 0.300553 0.00568731i
\(209\) −3.02054 + 4.15742i −0.208935 + 0.287575i
\(210\) 0.661547 0.458374i 0.0456511 0.0316308i
\(211\) 8.60830 + 11.8483i 0.592620 + 0.815671i 0.995008 0.0997982i \(-0.0318197\pi\)
−0.402388 + 0.915469i \(0.631820\pi\)
\(212\) 7.86847 8.01878i 0.540409 0.550732i
\(213\) −2.63891 9.47045i −0.180815 0.648905i
\(214\) −3.86371 + 16.4356i −0.264118 + 1.12352i
\(215\) 10.1641 2.60517i 0.693186 0.177671i
\(216\) 7.11983 12.8572i 0.484443 0.874823i
\(217\) 0.786882 0.255673i 0.0534170 0.0173562i
\(218\) 8.73588 + 10.1310i 0.591668 + 0.686156i
\(219\) 25.4046 + 9.46288i 1.71669 + 0.639442i
\(220\) −3.76499 + 1.66983i −0.253835 + 0.112580i
\(221\) 2.99854 + 0.974286i 0.201704 + 0.0655376i
\(222\) −2.69604 + 9.61810i −0.180946 + 0.645524i
\(223\) −23.7828 + 17.2792i −1.59261 + 1.15710i −0.692525 + 0.721394i \(0.743502\pi\)
−0.900089 + 0.435707i \(0.856498\pi\)
\(224\) −0.336168 0.760214i −0.0224612 0.0507939i
\(225\) −1.53999 14.9207i −0.102666 0.994716i
\(226\) 11.0375 + 12.8001i 0.734202 + 0.851452i
\(227\) −5.64810 7.77395i −0.374878 0.515975i 0.579341 0.815085i \(-0.303310\pi\)
−0.954218 + 0.299111i \(0.903310\pi\)
\(228\) −17.5022 + 8.20321i −1.15911 + 0.543271i
\(229\) 2.57814 7.93469i 0.170368 0.524339i −0.829024 0.559214i \(-0.811103\pi\)
0.999392 + 0.0348746i \(0.0111032\pi\)
\(230\) 2.26537 + 2.99025i 0.149374 + 0.197171i
\(231\) 0.0818170 0.219651i 0.00538316 0.0144520i
\(232\) −13.3869 21.1652i −0.878890 1.38957i
\(233\) 4.87606 + 15.0070i 0.319442 + 0.983140i 0.973887 + 0.227031i \(0.0729020\pi\)
−0.654446 + 0.756109i \(0.727098\pi\)
\(234\) 1.41424 + 4.37553i 0.0924518 + 0.286037i
\(235\) 16.7907 + 1.06343i 1.09530 + 0.0693705i
\(236\) −9.86009 18.9072i −0.641837 1.23075i
\(237\) 26.0096 7.24750i 1.68951 0.470776i
\(238\) −0.0502779 0.602398i −0.00325903 0.0390477i
\(239\) −14.6621 + 10.6526i −0.948412 + 0.689062i −0.950431 0.310936i \(-0.899357\pi\)
0.00201847 + 0.999998i \(0.499357\pi\)
\(240\) −15.4337 1.34202i −0.996241 0.0866267i
\(241\) −22.7927 16.5599i −1.46821 1.06671i −0.981129 0.193356i \(-0.938063\pi\)
−0.487078 0.873359i \(-0.661937\pi\)
\(242\) 7.44345 12.2766i 0.478483 0.789168i
\(243\) 15.2394 + 3.28051i 0.977606 + 0.210445i
\(244\) 7.42391 1.24794i 0.475267 0.0798909i
\(245\) −15.1156 + 3.87429i −0.965699 + 0.247519i
\(246\) −6.30597 + 22.4965i −0.402054 + 1.43432i
\(247\) 1.86886 5.75176i 0.118913 0.365976i
\(248\) −14.7986 5.88519i −0.939715 0.373710i
\(249\) −15.3556 + 19.3533i −0.973120 + 1.22647i
\(250\) −13.7070 + 7.88158i −0.866904 + 0.498475i
\(251\) 0.635553 0.0401157 0.0200579 0.999799i \(-0.493615\pi\)
0.0200579 + 0.999799i \(0.493615\pi\)
\(252\) 0.668581 0.574718i 0.0421166 0.0362038i
\(253\) 1.03908 + 0.337619i 0.0653266 + 0.0212259i
\(254\) 14.0256 5.88749i 0.880047 0.369414i
\(255\) −10.2879 4.59202i −0.644254 0.287563i
\(256\) −4.36505 + 15.3931i −0.272815 + 0.962066i
\(257\) −5.02373 −0.313371 −0.156686 0.987649i \(-0.550081\pi\)
−0.156686 + 0.987649i \(0.550081\pi\)
\(258\) 10.7773 3.99550i 0.670968 0.248749i
\(259\) −0.352209 + 0.484774i −0.0218852 + 0.0301224i
\(260\) 3.60677 3.23822i 0.223682 0.200826i
\(261\) 17.3774 20.0898i 1.07563 1.24352i
\(262\) 0.828157 + 9.92245i 0.0511637 + 0.613011i
\(263\) −5.88016 + 8.09334i −0.362586 + 0.499057i −0.950867 0.309600i \(-0.899805\pi\)
0.588281 + 0.808657i \(0.299805\pi\)
\(264\) −3.91190 + 2.24793i −0.240761 + 0.138351i
\(265\) 0.793924 12.5354i 0.0487703 0.770045i
\(266\) −1.15551 + 0.0964424i −0.0708490 + 0.00591327i
\(267\) −4.34530 1.61857i −0.265928 0.0990547i
\(268\) −2.43325 + 16.3634i −0.148634 + 0.999552i
\(269\) −20.5645 + 6.68181i −1.25384 + 0.407397i −0.859296 0.511479i \(-0.829098\pi\)
−0.394545 + 0.918877i \(0.629098\pi\)
\(270\) −3.37649 16.0810i −0.205487 0.978660i
\(271\) 8.68144 + 2.82077i 0.527360 + 0.171350i 0.560583 0.828098i \(-0.310577\pi\)
−0.0332231 + 0.999448i \(0.510577\pi\)
\(272\) −6.65998 + 9.54120i −0.403820 + 0.578520i
\(273\) −0.0116943 + 0.275603i −0.000707768 + 0.0166803i
\(274\) −2.69446 3.12476i −0.162778 0.188774i
\(275\) −1.96412 + 4.16492i −0.118441 + 0.251154i
\(276\) 2.80858 + 3.00002i 0.169057 + 0.180580i
\(277\) −15.4585 21.2768i −0.928812 1.27840i −0.960321 0.278897i \(-0.910031\pi\)
0.0315092 0.999503i \(-0.489969\pi\)
\(278\) 10.1054 + 24.0738i 0.606079 + 1.44385i
\(279\) 1.43093 16.8313i 0.0856674 1.00766i
\(280\) −0.840122 0.397319i −0.0502069 0.0237444i
\(281\) 20.4876 6.65683i 1.22219 0.397113i 0.374310 0.927303i \(-0.377879\pi\)
0.847879 + 0.530190i \(0.177879\pi\)
\(282\) 18.4148 0.752919i 1.09658 0.0448357i
\(283\) −5.09831 15.6910i −0.303063 0.932732i −0.980393 0.197053i \(-0.936863\pi\)
0.677330 0.735679i \(-0.263137\pi\)
\(284\) −7.95088 + 8.10275i −0.471798 + 0.480810i
\(285\) −8.80835 + 19.7341i −0.521762 + 1.16895i
\(286\) 0.323048 1.37419i 0.0191022 0.0812578i
\(287\) −0.823808 + 1.13387i −0.0486278 + 0.0669305i
\(288\) −16.9680 + 0.294907i −0.999849 + 0.0173776i
\(289\) 6.90750 5.01859i 0.406324 0.295211i
\(290\) −26.7969 8.11749i −1.57357 0.476675i
\(291\) −8.83397 + 2.46155i −0.517856 + 0.144299i
\(292\) −5.18925 30.8706i −0.303678 1.80656i
\(293\) 7.00240 0.409085 0.204542 0.978858i \(-0.434429\pi\)
0.204542 + 0.978858i \(0.434429\pi\)
\(294\) −16.0276 + 5.94192i −0.934746 + 0.346540i
\(295\) −22.1628 8.78561i −1.29037 0.511518i
\(296\) 11.1761 2.85145i 0.649596 0.165737i
\(297\) −3.48336 3.28130i −0.202125 0.190400i
\(298\) −0.0943365 + 0.401293i −0.00546477 + 0.0232463i
\(299\) −1.28580 −0.0743596
\(300\) −14.0366 + 10.1476i −0.810405 + 0.585869i
\(301\) 0.689516 0.0397430
\(302\) −2.58015 + 10.9756i −0.148471 + 0.631572i
\(303\) −3.90762 5.88806i −0.224487 0.338260i
\(304\) 18.3018 + 12.7751i 1.04968 + 0.732701i
\(305\) 5.36768 6.48288i 0.307352 0.371209i
\(306\) −11.7316 3.83184i −0.670651 0.219052i
\(307\) −6.62875 −0.378323 −0.189161 0.981946i \(-0.560577\pi\)
−0.189161 + 0.981946i \(0.560577\pi\)
\(308\) −0.266910 + 0.0448668i −0.0152086 + 0.00255652i
\(309\) −0.569163 2.04260i −0.0323786 0.116199i
\(310\) −16.8207 + 5.84017i −0.955353 + 0.331700i
\(311\) −19.4742 + 14.1488i −1.10428 + 0.802306i −0.981753 0.190160i \(-0.939099\pi\)
−0.122526 + 0.992465i \(0.539099\pi\)
\(312\) 3.56096 3.93870i 0.201600 0.222985i
\(313\) 16.2239 22.3303i 0.917030 1.26218i −0.0476783 0.998863i \(-0.515182\pi\)
0.964708 0.263321i \(-0.0848178\pi\)
\(314\) 5.09293 21.6645i 0.287410 1.22260i
\(315\) 0.145414 0.974926i 0.00819313 0.0549309i
\(316\) −22.2534 21.8363i −1.25185 1.22839i
\(317\) 6.14567 + 18.9144i 0.345175 + 1.06234i 0.961490 + 0.274840i \(0.0886249\pi\)
−0.616315 + 0.787500i \(0.711375\pi\)
\(318\) −0.562106 13.7479i −0.0315213 0.770943i
\(319\) −7.75529 + 2.51985i −0.434213 + 0.141084i
\(320\) 7.56063 + 16.2122i 0.422652 + 0.906292i
\(321\) 11.4342 + 17.2292i 0.638195 + 0.961642i
\(322\) 0.0954171 + 0.227310i 0.00531738 + 0.0126675i
\(323\) 9.54059 + 13.1315i 0.530852 + 0.730656i
\(324\) −5.50948 17.1361i −0.306082 0.952005i
\(325\) 0.683711 5.37597i 0.0379255 0.298205i
\(326\) −11.9502 13.8586i −0.661860 0.767557i
\(327\) 16.3690 + 0.694562i 0.905210 + 0.0384094i
\(328\) 26.1405 6.66948i 1.44337 0.368260i
\(329\) 1.05148 + 0.341648i 0.0579702 + 0.0188357i
\(330\) −1.66578 + 4.76134i −0.0916981 + 0.262103i
\(331\) 13.8344 4.49507i 0.760408 0.247072i 0.0969543 0.995289i \(-0.469090\pi\)
0.663454 + 0.748217i \(0.269090\pi\)
\(332\) 28.2168 + 4.19587i 1.54860 + 0.230278i
\(333\) 6.32657 + 10.4709i 0.346694 + 0.573800i
\(334\) 22.9743 1.91751i 1.25710 0.104921i
\(335\) 9.90410 + 15.6208i 0.541119 + 0.853455i
\(336\) −0.960557 0.337241i −0.0524027 0.0183980i
\(337\) −1.28077 + 1.76282i −0.0697678 + 0.0960271i −0.842475 0.538736i \(-0.818902\pi\)
0.772707 + 0.634763i \(0.218902\pi\)
\(338\) −1.39095 16.6655i −0.0756578 0.906483i
\(339\) 20.6817 + 0.877556i 1.12328 + 0.0476623i
\(340\) 1.34132 + 12.9398i 0.0727435 + 0.701758i
\(341\) −3.04804 + 4.19527i −0.165061 + 0.227187i
\(342\) −7.35018 + 22.5034i −0.397452 + 1.21684i
\(343\) −2.05400 −0.110906
\(344\) −10.2136 8.47558i −0.550682 0.456973i
\(345\) 4.56897 + 0.484544i 0.245985 + 0.0260869i
\(346\) 8.68127 3.64410i 0.466708 0.195908i
\(347\) 13.4076 + 4.35640i 0.719758 + 0.233864i 0.645918 0.763406i \(-0.276475\pi\)
0.0738400 + 0.997270i \(0.476475\pi\)
\(348\) −30.1197 5.79342i −1.61459 0.310560i
\(349\) 16.3242 0.873812 0.436906 0.899507i \(-0.356074\pi\)
0.436906 + 0.899507i \(0.356074\pi\)
\(350\) −1.00113 + 0.278073i −0.0535126 + 0.0148636i
\(351\) 5.09214 + 2.40585i 0.271798 + 0.128415i
\(352\) 4.50518 + 2.61628i 0.240127 + 0.139448i
\(353\) 1.83552 5.64916i 0.0976950 0.300674i −0.890252 0.455469i \(-0.849472\pi\)
0.987947 + 0.154795i \(0.0494716\pi\)
\(354\) −25.1469 7.04891i −1.33654 0.374645i
\(355\) −0.802238 + 12.6667i −0.0425784 + 0.672278i
\(356\) 0.887589 + 5.28022i 0.0470421 + 0.279851i
\(357\) −0.579969 0.460167i −0.0306952 0.0243546i
\(358\) 8.52179 14.0551i 0.450391 0.742835i
\(359\) −1.27036 0.922972i −0.0670471 0.0487126i 0.553757 0.832678i \(-0.313194\pi\)
−0.620804 + 0.783966i \(0.713194\pi\)
\(360\) −14.1379 + 12.6539i −0.745130 + 0.666919i
\(361\) 9.81732 7.13270i 0.516701 0.375405i
\(362\) −0.968183 11.6002i −0.0508866 0.609690i
\(363\) −4.71977 16.9382i −0.247724 0.889025i
\(364\) 0.282428 0.147286i 0.0148032 0.00771989i
\(365\) −26.9576 22.3202i −1.41102 1.16829i
\(366\) 5.11011 7.67427i 0.267110 0.401141i
\(367\) 9.78587 + 30.1178i 0.510818 + 1.57214i 0.790764 + 0.612121i \(0.209684\pi\)
−0.279945 + 0.960016i \(0.590316\pi\)
\(368\) 1.38072 4.53996i 0.0719752 0.236662i
\(369\) 14.7977 + 24.4911i 0.770336 + 1.27496i
\(370\) 7.36942 10.5823i 0.383118 0.550149i
\(371\) 0.255064 0.785006i 0.0132423 0.0407555i
\(372\) −17.6615 + 8.27790i −0.915707 + 0.429189i
\(373\) 3.44247 + 4.73815i 0.178244 + 0.245332i 0.888785 0.458323i \(-0.151550\pi\)
−0.710541 + 0.703655i \(0.751550\pi\)
\(374\) 2.47416 + 2.86928i 0.127936 + 0.148367i
\(375\) −4.45540 + 18.8454i −0.230076 + 0.973173i
\(376\) −11.3758 17.9857i −0.586663 0.927541i
\(377\) 7.76387 5.64078i 0.399860 0.290515i
\(378\) 0.0474396 1.07875i 0.00244003 0.0554849i
\(379\) 26.0098 + 8.45110i 1.33603 + 0.434104i 0.887971 0.459899i \(-0.152114\pi\)
0.448062 + 0.894002i \(0.352114\pi\)
\(380\) 24.8209 2.57291i 1.27329 0.131987i
\(381\) 6.50289 17.4581i 0.333153 0.894404i
\(382\) 1.30316 + 1.51128i 0.0666757 + 0.0773236i
\(383\) 1.23035 0.399764i 0.0628677 0.0204270i −0.277414 0.960750i \(-0.589477\pi\)
0.340282 + 0.940323i \(0.389477\pi\)
\(384\) 10.0831 + 16.8027i 0.514551 + 0.857460i
\(385\) −0.192983 + 0.233078i −0.00983531 + 0.0118787i
\(386\) −2.27012 + 9.65673i −0.115546 + 0.491515i
\(387\) 5.46865 12.9718i 0.277987 0.659392i
\(388\) 7.55819 + 7.41652i 0.383709 + 0.376517i
\(389\) 6.07345 + 8.35939i 0.307936 + 0.423838i 0.934736 0.355342i \(-0.115636\pi\)
−0.626800 + 0.779180i \(0.715636\pi\)
\(390\) 0.132884 5.93503i 0.00672884 0.300532i
\(391\) 2.02840 2.79185i 0.102580 0.141190i
\(392\) 15.1892 + 12.6045i 0.767171 + 0.636623i
\(393\) 9.55300 + 7.57967i 0.481885 + 0.382344i
\(394\) −14.9125 + 24.5953i −0.751279 + 1.23909i
\(395\) −34.7878 2.20327i −1.75036 0.110858i
\(396\) −1.27283 + 5.37719i −0.0639622 + 0.270214i
\(397\) −17.9507 5.83254i −0.900920 0.292727i −0.178304 0.983976i \(-0.557061\pi\)
−0.722617 + 0.691249i \(0.757061\pi\)
\(398\) 0.0162236 0.0690125i 0.000813214 0.00345928i
\(399\) −0.882686 + 1.11249i −0.0441896 + 0.0556941i
\(400\) 18.2476 + 8.18695i 0.912379 + 0.409347i
\(401\) 32.4818i 1.62207i −0.585001 0.811033i \(-0.698906\pi\)
0.585001 0.811033i \(-0.301094\pi\)
\(402\) 12.5690 + 15.8915i 0.626885 + 0.792598i
\(403\) 1.88588 5.80413i 0.0939422 0.289124i
\(404\) −3.63560 + 7.30530i −0.180878 + 0.363452i
\(405\) −17.1879 10.4679i −0.854071 0.520156i
\(406\) −1.57335 0.953943i −0.0780841 0.0473434i
\(407\) 3.75561i 0.186159i
\(408\) 2.93452 + 13.9454i 0.145280 + 0.690398i
\(409\) 7.06641 + 5.13405i 0.349412 + 0.253862i 0.748622 0.662997i \(-0.230716\pi\)
−0.399211 + 0.916859i \(0.630716\pi\)
\(410\) 17.2369 24.7518i 0.851269 1.22240i
\(411\) −5.04881 0.214228i −0.249039 0.0105671i
\(412\) −1.71485 + 1.74761i −0.0844848 + 0.0860987i
\(413\) −1.26746 0.920865i −0.0623677 0.0453128i
\(414\) 5.03312 + 0.00776152i 0.247364 + 0.000381458i
\(415\) 26.9363 17.0785i 1.32225 0.838351i
\(416\) −5.99398 1.28991i −0.293879 0.0632433i
\(417\) 29.9652 + 11.1616i 1.46740 + 0.546588i
\(418\) 5.50381 4.74591i 0.269200 0.232130i
\(419\) −0.264162 0.813006i −0.0129051 0.0397180i 0.944397 0.328809i \(-0.106647\pi\)
−0.957302 + 0.289091i \(0.906647\pi\)
\(420\) −1.05909 + 0.416938i −0.0516781 + 0.0203445i
\(421\) −11.9738 + 36.8516i −0.583567 + 1.79604i 0.0213818 + 0.999771i \(0.493193\pi\)
−0.604949 + 0.796264i \(0.706807\pi\)
\(422\) −8.01641 19.0973i −0.390233 0.929643i
\(423\) 14.7669 17.0718i 0.717989 0.830058i
\(424\) −13.4276 + 8.49283i −0.652100 + 0.412448i
\(425\) 10.5943 + 9.96535i 0.513897 + 0.483391i
\(426\) 0.567992 + 13.8919i 0.0275193 + 0.673063i
\(427\) 0.447460 0.325099i 0.0216541 0.0157326i
\(428\) 10.6382 21.3763i 0.514218 1.03326i
\(429\) −0.956022 1.44055i −0.0461572 0.0695503i
\(430\) −14.8359 + 0.297054i −0.715450 + 0.0143252i
\(431\) 10.3806 + 31.9482i 0.500016 + 1.53889i 0.808991 + 0.587820i \(0.200014\pi\)
−0.308976 + 0.951070i \(0.599986\pi\)
\(432\) −13.9628 + 15.3961i −0.671785 + 0.740746i
\(433\) −13.8548 + 4.50169i −0.665818 + 0.216337i −0.622376 0.782719i \(-0.713832\pi\)
−0.0434423 + 0.999056i \(0.513832\pi\)
\(434\) −1.16603 + 0.0973205i −0.0559714 + 0.00467154i
\(435\) −29.7139 + 17.1183i −1.42467 + 0.820758i
\(436\) −8.74783 16.7744i −0.418945 0.803347i
\(437\) −5.35529 3.89084i −0.256178 0.186124i
\(438\) −31.9117 21.2492i −1.52480 1.01533i
\(439\) −12.7796 17.5896i −0.609937 0.839507i 0.386635 0.922233i \(-0.373637\pi\)
−0.996572 + 0.0827260i \(0.973637\pi\)
\(440\) 5.72362 1.08036i 0.272863 0.0515041i
\(441\) −8.13272 + 19.2910i −0.387272 + 0.918619i
\(442\) −3.81274 2.31171i −0.181353 0.109957i
\(443\) 8.06028i 0.382956i 0.981497 + 0.191478i \(0.0613280\pi\)
−0.981497 + 0.191478i \(0.938672\pi\)
\(444\) 6.82434 12.3686i 0.323869 0.586986i
\(445\) 4.61092 + 3.81773i 0.218579 + 0.180978i
\(446\) 38.3335 16.0911i 1.81515 0.761937i
\(447\) 0.279178 + 0.420669i 0.0132047 + 0.0198970i
\(448\) 0.216766 + 1.15537i 0.0102413 + 0.0545861i
\(449\) 27.9862i 1.32075i −0.750936 0.660375i \(-0.770397\pi\)
0.750936 0.660375i \(-0.229603\pi\)
\(450\) −2.70877 + 21.0395i −0.127692 + 0.991814i
\(451\) 8.78428i 0.413636i
\(452\) −11.0526 21.1938i −0.519870 0.996875i
\(453\) 7.63565 + 11.5055i 0.358754 + 0.540576i
\(454\) 5.25975 + 12.5302i 0.246852 + 0.588071i
\(455\) 0.131236 0.331060i 0.00615243 0.0155203i
\(456\) 26.7498 5.62896i 1.25267 0.263600i
\(457\) 12.1121i 0.566581i 0.959034 + 0.283291i \(0.0914261\pi\)
−0.959034 + 0.283291i \(0.908574\pi\)
\(458\) −6.11721 + 10.0892i −0.285838 + 0.471437i
\(459\) −13.2569 + 7.26122i −0.618778 + 0.338925i
\(460\) −2.15096 4.84979i −0.100289 0.226122i
\(461\) −2.27653 3.13338i −0.106029 0.145936i 0.752705 0.658358i \(-0.228749\pi\)
−0.858734 + 0.512422i \(0.828749\pi\)
\(462\) −0.183723 + 0.275911i −0.00854755 + 0.0128366i
\(463\) −3.45359 2.50918i −0.160502 0.116612i 0.504635 0.863333i \(-0.331627\pi\)
−0.665137 + 0.746721i \(0.731627\pi\)
\(464\) 11.5797 + 33.4703i 0.537574 + 1.55382i
\(465\) −8.88855 + 19.9138i −0.412197 + 0.923481i
\(466\) −1.85604 22.2379i −0.0859796 1.03015i
\(467\) −8.56240 + 2.78209i −0.396221 + 0.128740i −0.500349 0.865824i \(-0.666795\pi\)
0.104128 + 0.994564i \(0.466795\pi\)
\(468\) −0.530895 6.48142i −0.0245406 0.299604i
\(469\) 0.375593 + 1.15596i 0.0173433 + 0.0533771i
\(470\) −22.7713 6.89804i −1.05036 0.318183i
\(471\) −15.0719 22.7106i −0.694477 1.04645i
\(472\) 7.45524 + 29.2203i 0.343155 + 1.34497i
\(473\) −3.49624 + 2.54016i −0.160757 + 0.116797i
\(474\) −38.1526 + 1.55993i −1.75241 + 0.0716501i
\(475\) 19.1154 20.3217i 0.877074 0.932426i
\(476\) −0.125739 + 0.845584i −0.00576325 + 0.0387573i
\(477\) −12.7453 11.0245i −0.583565 0.504776i
\(478\) 23.6326 9.92018i 1.08093 0.453739i
\(479\) 9.41830 28.9865i 0.430333 1.32443i −0.467461 0.884014i \(-0.654831\pi\)
0.897794 0.440415i \(-0.145169\pi\)
\(480\) 20.8130 + 6.84239i 0.949980 + 0.312311i
\(481\) 1.36582 + 4.20355i 0.0622758 + 0.191665i
\(482\) 26.0190 + 30.1742i 1.18513 + 1.37440i
\(483\) 0.282938 + 0.105391i 0.0128741 + 0.00479545i
\(484\) −14.2204 + 14.4920i −0.646381 + 0.658728i
\(485\) 11.8154 + 0.748322i 0.536510 + 0.0339795i
\(486\) −19.9181 9.44820i −0.903504 0.428579i
\(487\) 25.3173 + 18.3941i 1.14724 + 0.833517i 0.988111 0.153741i \(-0.0491320\pi\)
0.159127 + 0.987258i \(0.449132\pi\)
\(488\) −10.6243 0.684610i −0.480938 0.0309908i
\(489\) −22.3920 0.950123i −1.01260 0.0429661i
\(490\) 22.0632 0.441765i 0.996716 0.0199569i
\(491\) −28.2618 20.5334i −1.27544 0.926661i −0.276034 0.961148i \(-0.589020\pi\)
−0.999405 + 0.0344873i \(0.989020\pi\)
\(492\) 15.9619 28.9297i 0.719620 1.30425i
\(493\) 25.7562i 1.16000i
\(494\) −4.43430 + 7.31354i −0.199508 + 0.329052i
\(495\) 2.85428 + 5.47913i 0.128290 + 0.246269i
\(496\) 18.4684 + 12.8914i 0.829257 + 0.578840i
\(497\) −0.257735 + 0.793227i −0.0115610 + 0.0355811i
\(498\) 27.4032 21.6738i 1.22797 0.971228i
\(499\) 13.1530i 0.588810i 0.955681 + 0.294405i \(0.0951215\pi\)
−0.955681 + 0.294405i \(0.904879\pi\)
\(500\) 21.4209 6.41442i 0.957972 0.286862i
\(501\) 17.5499 22.1189i 0.784072 0.988200i
\(502\) −0.874956 0.205686i −0.0390512 0.00918022i
\(503\) −14.8552 4.82676i −0.662362 0.215214i −0.0415050 0.999138i \(-0.513215\pi\)
−0.620857 + 0.783924i \(0.713215\pi\)
\(504\) −1.10642 + 0.574831i −0.0492840 + 0.0256050i
\(505\) 2.26513 + 8.83744i 0.100797 + 0.393261i
\(506\) −1.32123 0.801076i −0.0587356 0.0356122i
\(507\) −16.0450 12.7306i −0.712582 0.565387i
\(508\) −21.2143 + 3.56605i −0.941231 + 0.158218i
\(509\) 1.95824 2.69529i 0.0867976 0.119467i −0.763410 0.645914i \(-0.776476\pi\)
0.850208 + 0.526448i \(0.176476\pi\)
\(510\) 12.6771 + 9.65128i 0.561351 + 0.427366i
\(511\) −1.35185 1.86066i −0.0598022 0.0823107i
\(512\) 10.9910 19.7787i 0.485738 0.874104i
\(513\) 13.9284 + 25.4292i 0.614953 + 1.12272i
\(514\) 6.91609 + 1.62584i 0.305056 + 0.0717129i
\(515\) −0.173028 + 2.73197i −0.00762451 + 0.120385i
\(516\) −16.1301 + 2.01264i −0.710087 + 0.0886015i
\(517\) −6.59025 + 2.14130i −0.289839 + 0.0941744i
\(518\) 0.641770 0.553395i 0.0281977 0.0243148i
\(519\) 4.02501 10.8058i 0.176678 0.474322i
\(520\) −6.01338 + 3.29074i −0.263704 + 0.144308i
\(521\) −33.0588 10.7414i −1.44833 0.470591i −0.523847 0.851813i \(-0.675503\pi\)
−0.924484 + 0.381222i \(0.875503\pi\)
\(522\) −30.4249 + 22.0334i −1.33166 + 0.964374i
\(523\) −19.6936 + 14.3082i −0.861139 + 0.625654i −0.928195 0.372095i \(-0.878639\pi\)
0.0670557 + 0.997749i \(0.478639\pi\)
\(524\) 2.07112 13.9281i 0.0904775 0.608452i
\(525\) −0.591093 + 1.12694i −0.0257974 + 0.0491835i
\(526\) 10.7144 9.23896i 0.467170 0.402838i
\(527\) 9.62745 + 13.2511i 0.419378 + 0.577225i
\(528\) 6.11296 1.82867i 0.266033 0.0795827i
\(529\) 6.67249 20.5358i 0.290108 0.892862i
\(530\) −5.14986 + 17.0004i −0.223696 + 0.738449i
\(531\) −27.3765 + 16.5411i −1.18804 + 0.717821i
\(532\) 1.62199 + 0.241191i 0.0703221 + 0.0104570i
\(533\) 3.19461 + 9.83199i 0.138374 + 0.425871i
\(534\) 5.45829 + 3.63454i 0.236203 + 0.157282i
\(535\) −6.62807 25.8595i −0.286556 1.11800i
\(536\) 8.64555 21.7397i 0.373431 0.939013i
\(537\) −5.40353 19.3921i −0.233180 0.836829i
\(538\) 30.4733 2.54339i 1.31380 0.109653i
\(539\) 5.19944 3.77761i 0.223956 0.162713i
\(540\) −0.555986 + 23.2312i −0.0239258 + 0.999714i
\(541\) 17.5283 + 12.7351i 0.753601 + 0.547523i 0.896941 0.442150i \(-0.145784\pi\)
−0.143340 + 0.989674i \(0.545784\pi\)
\(542\) −11.0387 6.69291i −0.474153 0.287485i
\(543\) −11.1682 8.86126i −0.479275 0.380273i
\(544\) 12.2565 10.9798i 0.525495 0.470756i
\(545\) −19.6628 7.79456i −0.842261 0.333882i
\(546\) 0.105294 0.375634i 0.00450616 0.0160757i
\(547\) 4.26103 13.1141i 0.182188 0.560718i −0.817700 0.575644i \(-0.804751\pi\)
0.999889 + 0.0149263i \(0.00475135\pi\)
\(548\) 2.69815 + 5.17383i 0.115259 + 0.221015i
\(549\) −2.56717 10.9964i −0.109564 0.469316i
\(550\) 4.05188 5.09813i 0.172773 0.217385i
\(551\) 49.4052 2.10473
\(552\) −2.89562 5.03903i −0.123246 0.214475i
\(553\) −2.17852 0.707843i −0.0926400 0.0301006i
\(554\) 14.3956 + 34.2944i 0.611611 + 1.45703i
\(555\) −3.26923 15.4516i −0.138771 0.655886i
\(556\) −6.12082 36.4124i −0.259580 1.54423i
\(557\) −34.0690 −1.44355 −0.721775 0.692127i \(-0.756674\pi\)
−0.721775 + 0.692127i \(0.756674\pi\)
\(558\) −7.41710 + 22.7083i −0.313991 + 0.961318i
\(559\) 2.98945 4.11462i 0.126440 0.174030i
\(560\) 1.02800 + 0.818875i 0.0434408 + 0.0346038i
\(561\) 4.63602 + 0.196713i 0.195733 + 0.00830523i
\(562\) −30.3594 + 2.53388i −1.28063 + 0.106885i
\(563\) 2.17518 2.99388i 0.0916730 0.126177i −0.760717 0.649084i \(-0.775152\pi\)
0.852390 + 0.522907i \(0.175152\pi\)
\(564\) −25.5950 4.92310i −1.07774 0.207300i
\(565\) −24.8433 9.84816i −1.04516 0.414315i
\(566\) 1.94064 + 23.2515i 0.0815712 + 0.977334i
\(567\) −0.923324 0.946784i −0.0387759 0.0397612i
\(568\) 13.5682 8.58177i 0.569308 0.360083i
\(569\) 0.409563 0.133075i 0.0171698 0.00557880i −0.300420 0.953807i \(-0.597127\pi\)
0.317589 + 0.948228i \(0.397127\pi\)
\(570\) 18.5129 24.3170i 0.775422 1.01853i
\(571\) −7.45937 2.42370i −0.312165 0.101429i 0.148745 0.988876i \(-0.452477\pi\)
−0.460910 + 0.887447i \(0.652477\pi\)
\(572\) −0.889470 + 1.78728i −0.0371906 + 0.0747301i
\(573\) 2.44183 + 0.103611i 0.102009 + 0.00432839i
\(574\) 1.50108 1.29438i 0.0626540 0.0540262i
\(575\) −5.36495 2.53004i −0.223734 0.105510i
\(576\) 23.4550 + 5.08542i 0.977293 + 0.211892i
\(577\) −5.30734 7.30493i −0.220948 0.304108i 0.684126 0.729364i \(-0.260184\pi\)
−0.905073 + 0.425256i \(0.860184\pi\)
\(578\) −11.1336 + 4.67353i −0.463098 + 0.194393i
\(579\) 6.71815 + 10.1230i 0.279197 + 0.420698i
\(580\) 34.2638 + 19.8476i 1.42273 + 0.824127i
\(581\) 1.99332 0.647668i 0.0826967 0.0268698i
\(582\) 12.9582 0.529819i 0.537136 0.0219617i
\(583\) 1.59863 + 4.92008i 0.0662085 + 0.203769i
\(584\) −2.84679 + 44.1785i −0.117801 + 1.82812i
\(585\) −5.18733 5.09461i −0.214470 0.210636i
\(586\) −9.64010 2.26621i −0.398229 0.0936163i
\(587\) 21.0438 28.9643i 0.868570 1.19548i −0.110888 0.993833i \(-0.535369\pi\)
0.979457 0.201651i \(-0.0646306\pi\)
\(588\) 23.9879 2.99310i 0.989244 0.123433i
\(589\) 25.4180 18.4672i 1.04733 0.760930i
\(590\) 27.6679 + 19.2677i 1.13907 + 0.793237i
\(591\) 9.45576 + 33.9346i 0.388958 + 1.39588i
\(592\) −16.3087 + 0.308607i −0.670285 + 0.0126837i
\(593\) 13.8839 0.570143 0.285071 0.958506i \(-0.407983\pi\)
0.285071 + 0.958506i \(0.407983\pi\)
\(594\) 3.73355 + 5.64464i 0.153189 + 0.231602i
\(595\) 0.511799 + 0.807212i 0.0209817 + 0.0330925i
\(596\) 0.259743 0.521923i 0.0106395 0.0213788i
\(597\) −0.0480117 0.0723448i −0.00196499 0.00296087i
\(598\) 1.77014 + 0.416127i 0.0723863 + 0.0170167i
\(599\) 1.11279 0.0454673 0.0227336 0.999742i \(-0.492763\pi\)
0.0227336 + 0.999742i \(0.492763\pi\)
\(600\) 22.6081 9.42727i 0.922972 0.384867i
\(601\) −8.51068 −0.347158 −0.173579 0.984820i \(-0.555533\pi\)
−0.173579 + 0.984820i \(0.555533\pi\)
\(602\) −0.949246 0.223150i −0.0386884 0.00909492i
\(603\) 24.7257 + 2.10208i 1.00691 + 0.0856034i
\(604\) 7.10411 14.2749i 0.289062 0.580836i
\(605\) −1.43483 + 22.6548i −0.0583340 + 0.921048i
\(606\) 3.47399 + 9.37063i 0.141121 + 0.380656i
\(607\) −18.2182 −0.739454 −0.369727 0.929140i \(-0.620549\pi\)
−0.369727 + 0.929140i \(0.620549\pi\)
\(608\) −21.0614 23.5103i −0.854151 0.953469i
\(609\) −2.17078 + 0.604880i −0.0879644 + 0.0245110i
\(610\) −9.48768 + 7.18773i −0.384145 + 0.291023i
\(611\) 6.59754 4.79339i 0.266908 0.193920i
\(612\) 14.9106 + 9.07197i 0.602726 + 0.366713i
\(613\) −8.86037 + 12.1952i −0.357867 + 0.492561i −0.949553 0.313607i \(-0.898463\pi\)
0.591686 + 0.806169i \(0.298463\pi\)
\(614\) 9.12571 + 2.14529i 0.368284 + 0.0865767i
\(615\) −7.64665 36.1410i −0.308343 1.45735i
\(616\) 0.381972 + 0.0246136i 0.0153901 + 0.000991711i
\(617\) 7.80536 + 24.0224i 0.314232 + 0.967107i 0.976069 + 0.217459i \(0.0697769\pi\)
−0.661837 + 0.749647i \(0.730223\pi\)
\(618\) 0.122505 + 2.99621i 0.00492789 + 0.120525i
\(619\) −21.5369 + 6.99777i −0.865641 + 0.281264i −0.707983 0.706230i \(-0.750395\pi\)
−0.157659 + 0.987494i \(0.550395\pi\)
\(620\) 25.0469 2.59633i 1.00591 0.104271i
\(621\) 4.22673 4.48701i 0.169613 0.180058i
\(622\) 31.3888 13.1760i 1.25858 0.528308i
\(623\) 0.231225 + 0.318254i 0.00926384 + 0.0127506i
\(624\) −6.17702 + 4.26990i −0.247279 + 0.170933i
\(625\) 13.4310 21.0858i 0.537238 0.843431i
\(626\) −29.5621 + 25.4912i −1.18154 + 1.01883i
\(627\) 0.377332 8.89275i 0.0150692 0.355142i
\(628\) −14.0227 + 28.1770i −0.559567 + 1.12438i
\(629\) −11.2818 3.66567i −0.449834 0.146160i
\(630\) −0.515707 + 1.29511i −0.0205463 + 0.0515982i
\(631\) 19.2741 6.26254i 0.767291 0.249308i 0.100886 0.994898i \(-0.467832\pi\)
0.666405 + 0.745590i \(0.267832\pi\)
\(632\) 23.5690 + 37.2636i 0.937523 + 1.48227i
\(633\) −23.7709 8.85434i −0.944809 0.351929i
\(634\) −2.33931 28.0282i −0.0929059 1.11314i
\(635\) −15.3385 + 18.5252i −0.608688 + 0.735151i
\(636\) −3.67543 + 19.1084i −0.145740 + 0.757699i
\(637\) −4.44576 + 6.11907i −0.176148 + 0.242446i
\(638\) 11.4921 0.959164i 0.454976 0.0379737i
\(639\) 12.8787 + 11.1399i 0.509475 + 0.440689i
\(640\) −5.16179 24.7660i −0.204037 0.978963i
\(641\) −12.6976 + 17.4767i −0.501524 + 0.690289i −0.982461 0.186466i \(-0.940297\pi\)
0.480937 + 0.876755i \(0.340297\pi\)
\(642\) −10.1653 27.4197i −0.401194 1.08217i
\(643\) −28.1000 −1.10815 −0.554077 0.832465i \(-0.686929\pi\)
−0.554077 + 0.832465i \(0.686929\pi\)
\(644\) −0.0577941 0.343814i −0.00227741 0.0135482i
\(645\) −12.1733 + 13.4944i −0.479323 + 0.531341i
\(646\) −8.88459 21.1656i −0.349560 0.832748i
\(647\) −18.7025 6.07680i −0.735270 0.238904i −0.0826390 0.996580i \(-0.526335\pi\)
−0.652631 + 0.757676i \(0.726335\pi\)
\(648\) 2.03901 + 25.3741i 0.0800999 + 0.996787i
\(649\) 9.81920 0.385437
\(650\) −2.68110 + 7.17975i −0.105161 + 0.281613i
\(651\) −0.890723 + 1.12262i −0.0349102 + 0.0439988i
\(652\) 11.9666 + 22.9464i 0.468646 + 0.898651i
\(653\) 4.77116 14.6841i 0.186710 0.574635i −0.813264 0.581896i \(-0.802311\pi\)
0.999974 + 0.00726094i \(0.00231125\pi\)
\(654\) −22.3102 6.25376i −0.872399 0.244541i
\(655\) −8.43013 13.2960i −0.329393 0.519520i
\(656\) −38.1457 + 0.721824i −1.48934 + 0.0281825i
\(657\) −45.7260 + 10.6750i −1.78394 + 0.416470i
\(658\) −1.33699 0.810637i −0.0521215 0.0316019i
\(659\) 23.6450 + 17.1791i 0.921077 + 0.669202i 0.943792 0.330540i \(-0.107231\pi\)
−0.0227147 + 0.999742i \(0.507231\pi\)
\(660\) 3.83418 6.01577i 0.149245 0.234164i
\(661\) 6.74049 4.89725i 0.262175 0.190481i −0.448931 0.893567i \(-0.648195\pi\)
0.711105 + 0.703086i \(0.248195\pi\)
\(662\) −20.5004 + 1.71102i −0.796770 + 0.0665008i
\(663\) −5.26050 + 1.46582i −0.204301 + 0.0569277i
\(664\) −37.4877 14.9083i −1.45480 0.578553i
\(665\) 1.54838 0.981725i 0.0600437 0.0380697i
\(666\) −5.32096 16.4626i −0.206183 0.637912i
\(667\) −3.24588 9.98981i −0.125681 0.386807i
\(668\) −32.2490 4.79546i −1.24775 0.185542i
\(669\) 17.7731 47.7147i 0.687147 1.84476i
\(670\) −8.57942 24.7102i −0.331452 0.954639i
\(671\) −1.07122 + 3.29687i −0.0413539 + 0.127274i
\(672\) 1.21324 + 0.775143i 0.0468018 + 0.0299018i
\(673\) −2.93461 4.03914i −0.113121 0.155697i 0.748702 0.662906i \(-0.230677\pi\)
−0.861823 + 0.507209i \(0.830677\pi\)
\(674\) 2.33372 2.01235i 0.0898915 0.0775130i
\(675\) 16.5129 + 20.0581i 0.635580 + 0.772035i
\(676\) −3.47861 + 23.3933i −0.133793 + 0.899742i
\(677\) −19.0640 + 13.8508i −0.732690 + 0.532330i −0.890413 0.455153i \(-0.849585\pi\)
0.157724 + 0.987483i \(0.449585\pi\)
\(678\) −28.1882 7.90141i −1.08256 0.303452i
\(679\) 0.739916 + 0.240413i 0.0283954 + 0.00922622i
\(680\) 2.34117 18.2481i 0.0897796 0.699783i
\(681\) 15.5966 + 5.80954i 0.597665 + 0.222622i
\(682\) 5.55392 4.78912i 0.212671 0.183385i
\(683\) −17.7725 + 5.77463i −0.680046 + 0.220960i −0.628615 0.777716i \(-0.716378\pi\)
−0.0514304 + 0.998677i \(0.516378\pi\)
\(684\) 17.4017 28.6013i 0.665372 1.09360i
\(685\) 6.06472 + 2.40413i 0.231721 + 0.0918569i
\(686\) 2.82772 + 0.664744i 0.107963 + 0.0253800i
\(687\) 3.87883 + 13.9202i 0.147986 + 0.531090i
\(688\) 11.3180 + 14.9737i 0.431493 + 0.570866i
\(689\) −3.57860 4.92552i −0.136334 0.187647i
\(690\) −6.13322 2.14574i −0.233488 0.0816868i
\(691\) −23.7900 + 32.7441i −0.905014 + 1.24565i 0.0638268 + 0.997961i \(0.479669\pi\)
−0.968841 + 0.247684i \(0.920331\pi\)
\(692\) −13.1307 + 2.20723i −0.499155 + 0.0839065i
\(693\) 0.0922968 + 0.395352i 0.00350606 + 0.0150182i
\(694\) −17.0482 10.3365i −0.647140 0.392370i
\(695\) −31.7969 26.3271i −1.20613 0.998645i
\(696\) 39.5904 + 17.7235i 1.50067 + 0.671806i
\(697\) −26.3878 8.57391i −0.999509 0.324760i
\(698\) −22.4732 5.28304i −0.850624 0.199966i
\(699\) −21.4099 16.9874i −0.809798 0.642522i
\(700\) 1.46823 0.0588195i 0.0554940 0.00222317i
\(701\) 25.9868i 0.981509i 0.871298 + 0.490754i \(0.163279\pi\)
−0.871298 + 0.490754i \(0.836721\pi\)
\(702\) −6.23166 4.96009i −0.235199 0.187207i
\(703\) −7.03144 + 21.6405i −0.265196 + 0.816189i
\(704\) −5.35550 5.05982i −0.201843 0.190699i
\(705\) −25.2501 + 14.5467i −0.950976 + 0.547860i
\(706\) −4.35519 + 7.18308i −0.163910 + 0.270339i
\(707\) 0.599517i 0.0225471i
\(708\) 32.3381 + 17.8425i 1.21534 + 0.670562i
\(709\) 11.3090 + 8.21650i 0.424720 + 0.308577i 0.779534 0.626360i \(-0.215456\pi\)
−0.354814 + 0.934937i \(0.615456\pi\)
\(710\) 5.20379 17.1784i 0.195295 0.644695i
\(711\) −30.5947 + 35.3701i −1.14739 + 1.32648i
\(712\) 0.486926 7.55645i 0.0182483 0.283190i
\(713\) −5.40405 3.92627i −0.202383 0.147040i
\(714\) 0.649509 + 0.821202i 0.0243073 + 0.0307327i
\(715\) 0.554178 + 2.16213i 0.0207251 + 0.0808591i
\(716\) −16.2805 + 16.5915i −0.608432 + 0.620054i
\(717\) 10.9571 29.4161i 0.409201 1.09857i
\(718\) 1.45018 + 1.68177i 0.0541204 + 0.0627632i
\(719\) −9.59929 29.5436i −0.357993 1.10179i −0.954254 0.298998i \(-0.903348\pi\)
0.596261 0.802791i \(-0.296652\pi\)
\(720\) 23.5586 12.8450i 0.877977 0.478703i
\(721\) −0.0555886 + 0.171084i −0.00207023 + 0.00637151i
\(722\) −15.8237 + 6.64227i −0.588898 + 0.247200i
\(723\) 48.7537 + 2.06869i 1.81317 + 0.0769355i
\(724\) −2.42131 + 16.2831i −0.0899874 + 0.605156i
\(725\) 43.4938 8.25919i 1.61532 0.306739i
\(726\) 1.01587 + 24.8460i 0.0377026 + 0.922123i
\(727\) 32.3401 23.4965i 1.19943 0.871436i 0.205201 0.978720i \(-0.434215\pi\)
0.994228 + 0.107283i \(0.0342152\pi\)
\(728\) −0.436481 + 0.111363i −0.0161771 + 0.00412740i
\(729\) −25.1347 + 9.86127i −0.930916 + 0.365232i
\(730\) 29.8885 + 39.4523i 1.10622 + 1.46019i
\(731\) 4.21809 + 12.9819i 0.156012 + 0.480155i
\(732\) −9.51866 + 8.91125i −0.351820 + 0.329369i
\(733\) −48.1127 + 15.6328i −1.77708 + 0.577410i −0.998728 0.0504128i \(-0.983946\pi\)
−0.778356 + 0.627823i \(0.783946\pi\)
\(734\) −3.72493 44.6298i −0.137490 1.64732i
\(735\) 18.1036 20.0682i 0.667760 0.740228i
\(736\) −3.37011 + 5.80325i −0.124224 + 0.213911i
\(737\) −6.16300 4.47768i −0.227017 0.164937i
\(738\) −12.4456 38.5056i −0.458129 1.41741i
\(739\) 7.82821 + 10.7746i 0.287965 + 0.396350i 0.928352 0.371703i \(-0.121226\pi\)
−0.640387 + 0.768053i \(0.721226\pi\)
\(740\) −13.5702 + 12.1835i −0.498849 + 0.447876i
\(741\) 2.81172 + 10.0906i 0.103291 + 0.370688i
\(742\) −0.605197 + 0.998158i −0.0222175 + 0.0366435i
\(743\) 41.3570i 1.51724i −0.651533 0.758620i \(-0.725874\pi\)
0.651533 0.758620i \(-0.274126\pi\)
\(744\) 26.9934 5.68021i 0.989624 0.208246i
\(745\) −0.161831 0.631386i −0.00592903 0.0231322i
\(746\) −3.20577 7.63703i −0.117372 0.279612i
\(747\) 3.62481 42.6368i 0.132625 1.56000i
\(748\) −2.47755 4.75082i −0.0905882 0.173707i
\(749\) 1.75426i 0.0640994i
\(750\) 12.2327 24.5023i 0.446675 0.894696i
\(751\) 22.6414i 0.826197i 0.910686 + 0.413098i \(0.135553\pi\)
−0.910686 + 0.413098i \(0.864447\pi\)
\(752\) 9.84014 + 28.4422i 0.358833 + 1.03718i
\(753\) −0.917203 + 0.608704i −0.0334247 + 0.0221824i
\(754\) −12.5139 + 5.25293i −0.455731 + 0.191300i
\(755\) −4.42616 17.2687i −0.161084 0.628473i
\(756\) −0.414429 + 1.46975i −0.0150726 + 0.0534541i
\(757\) 4.74016i 0.172284i 0.996283 + 0.0861420i \(0.0274539\pi\)
−0.996283 + 0.0861420i \(0.972546\pi\)
\(758\) −33.0722 20.0521i −1.20124 0.728326i
\(759\) −1.82292 + 0.507950i −0.0661677 + 0.0184374i
\(760\) −35.0033 4.49079i −1.26970 0.162898i
\(761\) 14.4110 + 19.8351i 0.522399 + 0.719020i 0.985948 0.167051i \(-0.0534243\pi\)
−0.463549 + 0.886071i \(0.653424\pi\)
\(762\) −14.6024 + 21.9297i −0.528991 + 0.794429i
\(763\) −1.12449 0.816987i −0.0407092 0.0295769i
\(764\) −1.30495 2.50230i −0.0472114 0.0905300i
\(765\) 19.2451 3.22629i 0.695809 0.116647i
\(766\) −1.82318 + 0.152168i −0.0658740 + 0.00549804i
\(767\) −10.9903 + 3.57098i −0.396838 + 0.128941i
\(768\) −8.44333 26.3953i −0.304672 0.952457i
\(769\) −15.2533 46.9449i −0.550049 1.69288i −0.708673 0.705537i \(-0.750706\pi\)
0.158624 0.987339i \(-0.449294\pi\)
\(770\) 0.341108 0.258419i 0.0122927 0.00931277i
\(771\) 7.25003 4.81150i 0.261103 0.173282i
\(772\) 6.25048 12.5596i 0.224960 0.452030i
\(773\) −8.19491 + 5.95395i −0.294750 + 0.214149i −0.725325 0.688406i \(-0.758311\pi\)