Properties

Label 300.2.r.a.239.27
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 239.27
Character \(\chi\) \(=\) 300.239
Dual form 300.2.r.a.59.27

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.117625 + 1.40931i) q^{2} +(1.44316 - 0.957755i) q^{3} +(-1.97233 - 0.331542i) q^{4} +(2.16605 - 0.555182i) q^{5} +(1.18002 + 2.14652i) q^{6} -0.146941 q^{7} +(0.699243 - 2.74063i) q^{8} +(1.16541 - 2.76438i) q^{9} +O(q^{10})\) \(q+(-0.117625 + 1.40931i) q^{2} +(1.44316 - 0.957755i) q^{3} +(-1.97233 - 0.331542i) q^{4} +(2.16605 - 0.555182i) q^{5} +(1.18002 + 2.14652i) q^{6} -0.146941 q^{7} +(0.699243 - 2.74063i) q^{8} +(1.16541 - 2.76438i) q^{9} +(0.527643 + 3.11795i) q^{10} +(0.745075 - 0.541329i) q^{11} +(-3.16392 + 1.41054i) q^{12} +(0.637074 - 0.876857i) q^{13} +(0.0172840 - 0.207086i) q^{14} +(2.59423 - 2.87576i) q^{15} +(3.78016 + 1.30782i) q^{16} +(0.898908 + 2.76655i) q^{17} +(3.75880 + 1.96759i) q^{18} +(-5.30677 + 1.72427i) q^{19} +(-4.45623 + 0.376864i) q^{20} +(-0.212059 + 0.140734i) q^{21} +(0.675262 + 1.11372i) q^{22} +(0.697301 + 0.959752i) q^{23} +(-1.61573 - 4.62487i) q^{24} +(4.38355 - 2.40510i) q^{25} +(1.16083 + 1.00098i) q^{26} +(-0.965727 - 5.10562i) q^{27} +(0.289816 + 0.0487172i) q^{28} +(8.42084 + 2.73610i) q^{29} +(3.74770 + 3.99434i) q^{30} +(-5.35508 + 1.73997i) q^{31} +(-2.28777 + 5.17360i) q^{32} +(0.556801 - 1.49482i) q^{33} +(-4.00468 + 0.941426i) q^{34} +(-0.318282 + 0.0815791i) q^{35} +(-3.21508 + 5.06589i) q^{36} +(-2.39694 + 3.29910i) q^{37} +(-1.80583 - 7.68171i) q^{38} +(0.0795846 - 1.87560i) q^{39} +(-0.00695365 - 6.32455i) q^{40} +(-5.60638 + 7.71652i) q^{41} +(-0.173394 - 0.315412i) q^{42} -4.69246 q^{43} +(-1.64901 + 0.820654i) q^{44} +(0.989605 - 6.63481i) q^{45} +(-1.43461 + 0.869824i) q^{46} +(-7.15582 - 2.32507i) q^{47} +(6.70794 - 1.73307i) q^{48} -6.97841 q^{49} +(2.87393 + 6.46069i) q^{50} +(3.94695 + 3.13164i) q^{51} +(-1.54723 + 1.51823i) q^{52} +(1.73582 - 5.34231i) q^{53} +(7.30901 - 0.760461i) q^{54} +(1.31333 - 1.58620i) q^{55} +(-0.102748 + 0.402711i) q^{56} +(-6.00707 + 7.57098i) q^{57} +(-4.84652 + 11.5458i) q^{58} +(8.62564 + 6.26690i) q^{59} +(-6.07010 + 4.81185i) q^{60} +(3.04517 - 2.21244i) q^{61} +(-1.82227 - 7.75166i) q^{62} +(-0.171247 + 0.406202i) q^{63} +(-7.02212 - 3.83273i) q^{64} +(0.893119 - 2.25301i) q^{65} +(2.04118 + 0.960537i) q^{66} +(-2.55608 - 7.86680i) q^{67} +(-0.855712 - 5.75458i) q^{68} +(1.92552 + 0.717231i) q^{69} +(-0.0775324 - 0.458155i) q^{70} +(1.75400 - 5.39826i) q^{71} +(-6.76125 - 5.12694i) 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} +(2.63395 + 0.332778i) q^{78} +(14.8258 + 4.81719i) q^{79} +(8.91409 + 0.734128i) q^{80} +(-6.28363 - 6.44329i) q^{81} +(-10.2155 - 8.80880i) q^{82} +(-13.5654 + 4.40767i) q^{83} +(0.464910 - 0.207266i) q^{84} +(3.48302 + 5.49344i) q^{85} +(0.551953 - 6.61315i) q^{86} +(14.7731 - 4.11648i) q^{87} +(-0.962594 - 2.42050i) q^{88} +(1.57359 + 2.16586i) q^{89} +(9.23412 + 2.17509i) q^{90} +(-0.0936124 + 0.128846i) q^{91} +(-1.05711 - 2.12413i) q^{92} +(-6.06177 + 7.63991i) q^{93} +(4.11846 - 9.81131i) q^{94} +(-10.5374 + 6.68108i) q^{95} +(1.65342 + 9.65744i) q^{96} +(5.03546 + 1.63612i) q^{97} +(0.820838 - 9.83476i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.117625 + 1.40931i −0.0831738 + 0.996535i
\(3\) 1.44316 0.957755i 0.833208 0.552960i
\(4\) −1.97233 0.331542i −0.986164 0.165771i
\(5\) 2.16605 0.555182i 0.968687 0.248285i
\(6\) 1.18002 + 2.14652i 0.481743 + 0.876313i
\(7\) −0.146941 −0.0555385 −0.0277693 0.999614i \(-0.508840\pi\)
−0.0277693 + 0.999614i \(0.508840\pi\)
\(8\) 0.699243 2.74063i 0.247220 0.968959i
\(9\) 1.16541 2.76438i 0.388471 0.921461i
\(10\) 0.527643 + 3.11795i 0.166855 + 0.985981i
\(11\) 0.745075 0.541329i 0.224649 0.163217i −0.469768 0.882790i \(-0.655662\pi\)
0.694417 + 0.719573i \(0.255662\pi\)
\(12\) −3.16392 + 1.41054i −0.913345 + 0.407188i
\(13\) 0.637074 0.876857i 0.176693 0.243196i −0.711480 0.702706i \(-0.751975\pi\)
0.888173 + 0.459510i \(0.151975\pi\)
\(14\) 0.0172840 0.207086i 0.00461935 0.0553461i
\(15\) 2.59423 2.87576i 0.669826 0.742518i
\(16\) 3.78016 + 1.30782i 0.945040 + 0.326955i
\(17\) 0.898908 + 2.76655i 0.218017 + 0.670988i 0.998926 + 0.0463424i \(0.0147565\pi\)
−0.780908 + 0.624646i \(0.785243\pi\)
\(18\) 3.75880 + 1.96759i 0.885958 + 0.463766i
\(19\) −5.30677 + 1.72427i −1.21746 + 0.395575i −0.846155 0.532937i \(-0.821088\pi\)
−0.371301 + 0.928513i \(0.621088\pi\)
\(20\) −4.45623 + 0.376864i −0.996443 + 0.0842694i
\(21\) −0.212059 + 0.140734i −0.0462751 + 0.0307106i
\(22\) 0.675262 + 1.11372i 0.143966 + 0.237446i
\(23\) 0.697301 + 0.959752i 0.145397 + 0.200122i 0.875504 0.483211i \(-0.160530\pi\)
−0.730107 + 0.683333i \(0.760530\pi\)
\(24\) −1.61573 4.62487i −0.329810 0.944047i
\(25\) 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
\(28\) 0.289816 + 0.0487172i 0.0547701 + 0.00920668i
\(29\) 8.42084 + 2.73610i 1.56371 + 0.508081i 0.957796 0.287449i \(-0.0928070\pi\)
0.605915 + 0.795529i \(0.292807\pi\)
\(30\) 3.74770 + 3.99434i 0.684233 + 0.729263i
\(31\) −5.35508 + 1.73997i −0.961801 + 0.312508i −0.747502 0.664260i \(-0.768747\pi\)
−0.214300 + 0.976768i \(0.568747\pi\)
\(32\) −2.28777 + 5.17360i −0.404425 + 0.914571i
\(33\) 0.556801 1.49482i 0.0969266 0.260215i
\(34\) −4.00468 + 0.941426i −0.686796 + 0.161453i
\(35\) −0.318282 + 0.0815791i −0.0537994 + 0.0137894i
\(36\) −3.21508 + 5.06589i −0.535847 + 0.844315i
\(37\) −2.39694 + 3.29910i −0.394054 + 0.542369i −0.959239 0.282595i \(-0.908805\pi\)
0.565185 + 0.824964i \(0.308805\pi\)
\(38\) −1.80583 7.68171i −0.292944 1.24614i
\(39\) 0.0795846 1.87560i 0.0127437 0.300337i
\(40\) −0.00695365 6.32455i −0.00109947 0.999999i
\(41\) −5.60638 + 7.71652i −0.875569 + 1.20512i 0.102059 + 0.994778i \(0.467457\pi\)
−0.977628 + 0.210339i \(0.932543\pi\)
\(42\) −0.173394 0.315412i −0.0267553 0.0486691i
\(43\) −4.69246 −0.715594 −0.357797 0.933799i \(-0.616472\pi\)
−0.357797 + 0.933799i \(0.616472\pi\)
\(44\) −1.64901 + 0.820654i −0.248597 + 0.123718i
\(45\) 0.989605 6.63481i 0.147522 0.989059i
\(46\) −1.43461 + 0.869824i −0.211522 + 0.128249i
\(47\) −7.15582 2.32507i −1.04378 0.339146i −0.263558 0.964644i \(-0.584896\pi\)
−0.780226 + 0.625498i \(0.784896\pi\)
\(48\) 6.70794 1.73307i 0.968208 0.250148i
\(49\) −6.97841 −0.996915
\(50\) 2.87393 + 6.46069i 0.406435 + 0.913680i
\(51\) 3.94695 + 3.13164i 0.552683 + 0.438518i
\(52\) −1.54723 + 1.51823i −0.214563 + 0.210541i
\(53\) 1.73582 5.34231i 0.238434 0.733823i −0.758214 0.652006i \(-0.773928\pi\)
0.996647 0.0818172i \(-0.0260724\pi\)
\(54\) 7.30901 0.760461i 0.994631 0.103486i
\(55\) 1.31333 1.58620i 0.177090 0.213883i
\(56\) −0.102748 + 0.402711i −0.0137302 + 0.0538146i
\(57\) −6.00707 + 7.57098i −0.795656 + 1.00280i
\(58\) −4.84652 + 11.5458i −0.636380 + 1.51603i
\(59\) 8.62564 + 6.26690i 1.12296 + 0.815880i 0.984656 0.174509i \(-0.0558338\pi\)
0.138307 + 0.990389i \(0.455834\pi\)
\(60\) −6.07010 + 4.81185i −0.783647 + 0.621207i
\(61\) 3.04517 2.21244i 0.389894 0.283274i −0.375518 0.926815i \(-0.622535\pi\)
0.765412 + 0.643541i \(0.222535\pi\)
\(62\) −1.82227 7.75166i −0.231429 0.984461i
\(63\) −0.171247 + 0.406202i −0.0215751 + 0.0511766i
\(64\) −7.02212 3.83273i −0.877765 0.479092i
\(65\) 0.893119 2.25301i 0.110778 0.279451i
\(66\) 2.04118 + 0.960537i 0.251252 + 0.118234i
\(67\) −2.55608 7.86680i −0.312275 0.961083i −0.976862 0.213872i \(-0.931392\pi\)
0.664587 0.747211i \(-0.268608\pi\)
\(68\) −0.855712 5.75458i −0.103770 0.697845i
\(69\) 1.92552 + 0.717231i 0.231806 + 0.0863445i
\(70\) −0.0775324 0.458155i −0.00926690 0.0547600i
\(71\) 1.75400 5.39826i 0.208162 0.640656i −0.791407 0.611290i \(-0.790651\pi\)
0.999569 0.0293663i \(-0.00934892\pi\)
\(72\) −6.76125 5.12694i −0.796821 0.604216i
\(73\) −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
\(78\) 2.63395 + 0.332778i 0.298236 + 0.0376797i
\(79\) 14.8258 + 4.81719i 1.66803 + 0.541976i 0.982531 0.186097i \(-0.0595838\pi\)
0.685500 + 0.728073i \(0.259584\pi\)
\(80\) 8.91409 + 0.734128i 0.996626 + 0.0820780i
\(81\) −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 −0.936787 0.349900i \(-0.886216\pi\)
−0.552211 + 0.833705i \(0.686216\pi\)
\(84\) 0.464910 0.207266i 0.0507258 0.0226146i
\(85\) 3.48302 + 5.49344i 0.377787 + 0.595847i
\(86\) 0.551953 6.61315i 0.0595186 0.713114i
\(87\) 14.7731 4.11648i 1.58384 0.441333i
\(88\) −0.962594 2.42050i −0.102613 0.258026i
\(89\) 1.57359 + 2.16586i 0.166800 + 0.229581i 0.884232 0.467048i \(-0.154682\pi\)
−0.717432 + 0.696629i \(0.754682\pi\)
\(90\) 9.23412 + 2.17509i 0.973362 + 0.229274i
\(91\) −0.0936124 + 0.128846i −0.00981324 + 0.0135068i
\(92\) −1.05711 2.12413i −0.110211 0.221456i
\(93\) −6.06177 + 7.63991i −0.628576 + 0.792222i
\(94\) 4.11846 9.81131i 0.424786 1.01196i
\(95\) −10.5374 + 6.68108i −1.08112 + 0.685464i
\(96\) 1.65342 + 9.65744i 0.168751 + 0.985659i
\(97\) 5.03546 + 1.63612i 0.511273 + 0.166123i 0.553281 0.832994i \(-0.313375\pi\)
−0.0420079 + 0.999117i \(0.513375\pi\)
\(98\) 0.820838 9.83476i 0.0829172 0.993461i
\(99\) −0.628121 2.69054i −0.0631285 0.270410i
\(100\) −9.44319 + 3.29032i −0.944319 + 0.329032i
\(101\) 4.07998i 0.405973i 0.979182 + 0.202987i \(0.0650648\pi\)
−0.979182 + 0.202987i \(0.934935\pi\)
\(102\) −4.87773 + 5.19412i −0.482967 + 0.514295i
\(103\) 0.378305 1.16430i 0.0372755 0.114722i −0.930687 0.365816i \(-0.880790\pi\)
0.967963 + 0.251093i \(0.0807901\pi\)
\(104\) −1.95767 2.35912i −0.191966 0.231331i
\(105\) −0.381198 + 0.422567i −0.0372012 + 0.0412384i
\(106\) 7.32482 + 3.07471i 0.711449 + 0.298642i
\(107\) 11.9386i 1.15414i 0.816693 + 0.577072i \(0.195805\pi\)
−0.816693 + 0.577072i \(0.804195\pi\)
\(108\) 0.212002 + 10.3901i 0.0203999 + 0.999792i
\(109\) −7.65264 5.55996i −0.732990 0.532548i 0.157518 0.987516i \(-0.449651\pi\)
−0.890508 + 0.454968i \(0.849651\pi\)
\(110\) 2.08097 + 2.03748i 0.198412 + 0.194266i
\(111\) −0.299431 + 7.05681i −0.0284207 + 0.669803i
\(112\) −0.555461 0.192173i −0.0524861 0.0181586i
\(113\) −9.66884 7.02482i −0.909568 0.660840i 0.0313375 0.999509i \(-0.490023\pi\)
−0.940906 + 0.338669i \(0.890023\pi\)
\(114\) −9.96330 9.35639i −0.933148 0.876306i
\(115\) 2.04323 + 1.69174i 0.190532 + 0.157756i
\(116\) −15.7015 8.18835i −1.45785 0.760269i
\(117\) −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
\(120\) −6.06740 9.12067i −0.553876 0.832599i
\(121\) −3.13709 + 9.65496i −0.285190 + 0.877724i
\(122\) 2.75984 + 4.55183i 0.249864 + 0.412104i
\(123\) −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
\(126\) −0.552322 0.289120i −0.0492048 0.0257569i
\(127\) 8.70175 6.32219i 0.772155 0.561004i −0.130459 0.991454i \(-0.541645\pi\)
0.902614 + 0.430450i \(0.141645\pi\)
\(128\) 6.22750 9.44554i 0.550439 0.834876i
\(129\) −6.77196 + 4.49423i −0.596238 + 0.395695i
\(130\) 3.07014 + 1.52370i 0.269269 + 0.133637i
\(131\) 2.17567 + 6.69603i 0.190089 + 0.585035i 0.999999 0.00151987i \(-0.000483791\pi\)
−0.809909 + 0.586555i \(0.800484\pi\)
\(132\) −1.59379 + 2.76368i −0.138722 + 0.240547i
\(133\) 0.779782 0.253367i 0.0676157 0.0219697i
\(134\) 11.3874 2.67698i 0.983726 0.231256i
\(135\) −4.92636 10.5229i −0.423994 0.905665i
\(136\) 8.21066 0.529082i 0.704058 0.0453684i
\(137\) 2.36035 + 1.71490i 0.201658 + 0.146513i 0.684032 0.729452i \(-0.260225\pi\)
−0.482373 + 0.875966i \(0.660225\pi\)
\(138\) −1.23729 + 2.62930i −0.105325 + 0.223821i
\(139\) 10.8515 + 14.9358i 0.920411 + 1.26684i 0.963484 + 0.267765i \(0.0862852\pi\)
−0.0430731 + 0.999072i \(0.513715\pi\)
\(140\) 0.654803 0.0553768i 0.0553410 0.00468020i
\(141\) −12.5538 + 3.49808i −1.05722 + 0.294592i
\(142\) 7.40153 + 3.10691i 0.621122 + 0.260726i
\(143\) 0.998191i 0.0834729i
\(144\) 8.02076 8.92566i 0.668397 0.743805i
\(145\) 19.7590 + 1.25143i 1.64090 + 0.103925i
\(146\) 18.9277 11.4761i 1.56647 0.949771i
\(147\) −10.0709 + 6.68360i −0.830638 + 0.551254i
\(148\) 5.82134 5.71223i 0.478512 0.469542i
\(149\) 0.291492i 0.0238800i −0.999929 0.0119400i \(-0.996199\pi\)
0.999929 0.0119400i \(-0.00380070\pi\)
\(150\) 10.3353 + 6.57128i 0.843873 + 0.536543i
\(151\) 7.97245i 0.648789i 0.945922 + 0.324394i \(0.105160\pi\)
−0.945922 + 0.324394i \(0.894840\pi\)
\(152\) 1.01488 + 15.7496i 0.0823174 + 1.27746i
\(153\) 8.69541 + 0.739249i 0.702983 + 0.0597647i
\(154\) −0.0992238 0.163651i −0.00799568 0.0131874i
\(155\) −10.6334 + 6.74191i −0.854093 + 0.541523i
\(156\) −0.778809 + 3.67292i −0.0623546 + 0.294069i
\(157\) 15.7367i 1.25593i 0.778243 + 0.627963i \(0.216111\pi\)
−0.778243 + 0.627963i \(0.783889\pi\)
\(158\) −8.53282 + 20.3276i −0.678835 + 1.61717i
\(159\) −2.61156 9.37230i −0.207110 0.743272i
\(160\) −2.08314 + 12.4764i −0.164687 + 0.986346i
\(161\) −0.102462 0.141027i −0.00807515 0.0111145i
\(162\) 9.81973 8.09771i 0.771511 0.636216i
\(163\) −10.4684 7.60573i −0.819947 0.595726i 0.0967503 0.995309i \(-0.469155\pi\)
−0.916697 + 0.399582i \(0.869155\pi\)
\(164\) 13.6160 13.3608i 1.06323 1.04330i
\(165\) 0.376161 3.54699i 0.0292841 0.276132i
\(166\) −4.61615 19.6364i −0.358283 1.52408i
\(167\) 15.5039 5.03753i 1.19973 0.389816i 0.360068 0.932926i \(-0.382753\pi\)
0.839662 + 0.543110i \(0.182753\pi\)
\(168\) 0.237418 + 0.679583i 0.0183172 + 0.0524310i
\(169\) 3.65421 + 11.2465i 0.281093 + 0.865115i
\(170\) −8.15167 + 4.26250i −0.625204 + 0.326919i
\(171\) −1.41802 + 16.6794i −0.108438 + 1.27551i
\(172\) 9.25508 + 1.55575i 0.705693 + 0.118625i
\(173\) −5.38601 + 3.91317i −0.409491 + 0.297512i −0.773396 0.633924i \(-0.781443\pi\)
0.363905 + 0.931436i \(0.381443\pi\)
\(174\) 4.06372 + 21.3042i 0.308069 + 1.61506i
\(175\) −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
\(178\) −3.23747 + 1.96292i −0.242659 + 0.147127i
\(179\) 3.59156 11.0537i 0.268446 0.826192i −0.722434 0.691440i \(-0.756976\pi\)
0.990879 0.134751i \(-0.0430235\pi\)
\(180\) −4.15155 + 12.7579i −0.309438 + 0.950920i
\(181\) 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
\(184\) 3.11791 1.23994i 0.229855 0.0914099i
\(185\) −3.36029 + 8.47676i −0.247053 + 0.623224i
\(186\) −10.0540 9.44158i −0.737196 0.692290i
\(187\) 2.16737 + 1.57469i 0.158494 + 0.115152i
\(188\) 13.3428 + 6.95825i 0.973122 + 0.507483i
\(189\) 0.141905 + 0.750226i 0.0103221 + 0.0545709i
\(190\) −8.17627 15.6364i −0.593169 1.13438i
\(191\) 1.14157 + 0.829402i 0.0826014 + 0.0600134i 0.628320 0.777955i \(-0.283743\pi\)
−0.545718 + 0.837969i \(0.683743\pi\)
\(192\) −13.8048 + 1.19423i −0.996279 + 0.0861858i
\(193\) 7.01448i 0.504914i −0.967608 0.252457i \(-0.918761\pi\)
0.967608 0.252457i \(-0.0812385\pi\)
\(194\) −2.89810 + 6.90409i −0.208072 + 0.495685i
\(195\) −0.868917 4.10684i −0.0622245 0.294097i
\(196\) 13.7637 + 2.31364i 0.983122 + 0.165260i
\(197\) 6.28495 19.3431i 0.447784 1.37814i −0.431617 0.902057i \(-0.642057\pi\)
0.879401 0.476082i \(-0.157943\pi\)
\(198\) 3.86570 0.568743i 0.274724 0.0404188i
\(199\) 0.0501295i 0.00355358i −0.999998 0.00177679i \(-0.999434\pi\)
0.999998 0.00177679i \(-0.000565571\pi\)
\(200\) −3.52634 13.6954i −0.249350 0.968413i
\(201\) −11.2233 8.90494i −0.791630 0.628106i
\(202\) −5.74997 0.479909i −0.404566 0.0337663i
\(203\) −1.23737 0.402045i −0.0868462 0.0282180i
\(204\) −6.74640 7.48521i −0.472343 0.524069i
\(205\) −7.85963 + 19.8269i −0.548940 + 1.38477i
\(206\) 1.59637 + 0.670102i 0.111224 + 0.0466883i
\(207\) 3.46577 0.809100i 0.240887 0.0562363i
\(208\) 3.55501 2.48148i 0.246496 0.172060i
\(209\) −3.02054 + 4.15742i −0.208935 + 0.287575i
\(210\) −0.550691 0.586933i −0.0380013 0.0405022i
\(211\) −8.60830 11.8483i −0.592620 0.815671i 0.402388 0.915469i \(-0.368180\pi\)
−0.995008 + 0.0997982i \(0.968180\pi\)
\(212\) −5.19482 + 9.96130i −0.356781 + 0.684145i
\(213\) −2.63891 9.47045i −0.180815 0.648905i
\(214\) −16.8252 1.40428i −1.15014 0.0959945i
\(215\) −10.1641 + 2.60517i −0.693186 + 0.177671i
\(216\) −14.6679 0.923368i −0.998024 0.0628272i
\(217\) 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
\(220\) −3.11622 + 2.69308i −0.210095 + 0.181567i
\(221\) 2.99854 + 0.974286i 0.201704 + 0.0655376i
\(222\) −9.91003 1.25205i −0.665118 0.0840322i
\(223\) 23.7828 17.2792i 1.59261 1.15710i 0.692525 0.721394i \(-0.256498\pi\)
0.900089 0.435707i \(-0.143502\pi\)
\(224\) 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 0.954218 0.299111i \(-0.0966899\pi\)
−0.579341 + 0.815085i \(0.696690\pi\)
\(228\) 14.3580 12.9409i 0.950883 0.857029i
\(229\) 2.57814 7.93469i 0.170368 0.524339i −0.829024 0.559214i \(-0.811103\pi\)
0.999392 + 0.0348746i \(0.0111032\pi\)
\(230\) −2.62453 + 2.68055i −0.173056 + 0.176750i
\(231\) −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 \(0.727098\pi\)
\(234\) 4.11993 2.04243i 0.269328 0.133518i
\(235\) −16.7907 1.06343i −1.09530 0.0693705i
\(236\) −14.9349 15.2201i −0.972177 0.990747i
\(237\) 26.0096 7.24750i 1.68951 0.470776i
\(238\) 0.588452 0.138334i 0.0381437 0.00896687i
\(239\) 14.6621 10.6526i 0.948412 0.689062i −0.00201847 0.999998i \(-0.500643\pi\)
0.950431 + 0.310936i \(0.100643\pi\)
\(240\) 13.5676 7.47805i 0.875782 0.482706i
\(241\) −22.7927 16.5599i −1.46821 1.06671i −0.981129 0.193356i \(-0.938063\pi\)
−0.487078 0.873359i \(-0.661937\pi\)
\(242\) −13.2379 5.55681i −0.850962 0.357205i
\(243\) −15.2394 3.28051i −0.977606 0.210445i
\(244\) −6.73959 + 3.35406i −0.431458 + 0.214722i
\(245\) −15.1156 + 3.87429i −0.965699 + 0.247519i
\(246\) −23.1793 2.92852i −1.47786 0.186715i
\(247\) −1.86886 + 5.75176i −0.118913 + 0.365976i
\(248\) 1.02412 + 15.8930i 0.0650315 + 1.00920i
\(249\) −15.3556 + 19.3533i −0.973120 + 1.22647i
\(250\) 9.81193 + 12.3986i 0.620561 + 0.784158i
\(251\) −0.635553 −0.0401157 −0.0200579 0.999799i \(-0.506385\pi\)
−0.0200579 + 0.999799i \(0.506385\pi\)
\(252\) 0.472428 0.744387i 0.0297602 0.0468920i
\(253\) 1.03908 + 0.337619i 0.0653266 + 0.0212259i
\(254\) 7.88640 + 13.0071i 0.494837 + 0.816141i
\(255\) 10.2879 + 4.59202i 0.644254 + 0.287563i
\(256\) 12.5792 + 9.88754i 0.786201 + 0.617971i
\(257\) −5.02373 −0.313371 −0.156686 0.987649i \(-0.550081\pi\)
−0.156686 + 0.987649i \(0.550081\pi\)
\(258\) −5.53722 10.0725i −0.344732 0.627084i
\(259\) 0.352209 0.484774i 0.0218852 0.0301224i
\(260\) −2.50849 + 4.14757i −0.155570 + 0.257221i
\(261\) 17.3774 20.0898i 1.07563 1.24352i
\(262\) −9.69272 + 2.27858i −0.598818 + 0.140771i
\(263\) 5.88016 8.09334i 0.362586 0.499057i −0.588281 0.808657i \(-0.700195\pi\)
0.950867 + 0.309600i \(0.100195\pi\)
\(264\) −3.70742 2.57123i −0.228176 0.158248i
\(265\) 0.793924 12.5354i 0.0487703 0.770045i
\(266\) 0.265351 + 1.12876i 0.0162697 + 0.0692087i
\(267\) 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 \(0.629098\pi\)
\(270\) 15.4095 5.70503i 0.937792 0.347197i
\(271\) −8.68144 2.82077i −0.527360 0.171350i 0.0332231 0.999448i \(-0.489423\pi\)
−0.560583 + 0.828098i \(0.689423\pi\)
\(272\) −0.220141 + 11.6336i −0.0133480 + 0.705392i
\(273\) −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
\(276\) −3.55997 2.05301i −0.214285 0.123577i
\(277\) −15.4585 21.2768i −0.928812 1.27840i −0.960321 0.278897i \(-0.910031\pi\)
0.0315092 0.999503i \(-0.489969\pi\)
\(278\) −22.3256 + 13.5363i −1.33900 + 0.811854i
\(279\) −1.43093 + 16.8313i −0.0856674 + 1.00766i
\(280\) 0.00102178 + 0.929337i 6.10628e−5 + 0.0555385i
\(281\) 20.4876 6.65683i 1.22219 0.397113i 0.374310 0.927303i \(-0.377879\pi\)
0.847879 + 0.530190i \(0.177879\pi\)
\(282\) −3.45324 18.1037i −0.205638 1.07806i
\(283\) 5.09831 + 15.6910i 0.303063 + 0.932732i 0.980393 + 0.197053i \(0.0631369\pi\)
−0.677330 + 0.735679i \(0.736863\pi\)
\(284\) −5.24922 + 10.0656i −0.311484 + 0.597285i
\(285\) −8.80835 + 19.7341i −0.521762 + 1.16895i
\(286\) 1.40676 + 0.117413i 0.0831837 + 0.00694276i
\(287\) 0.823808 1.13387i 0.0486278 0.0669305i
\(288\) 11.6356 + 12.3536i 0.685635 + 0.727946i
\(289\) 6.90750 5.01859i 0.406324 0.295211i
\(290\) −4.08781 + 27.6994i −0.240045 + 1.62657i
\(291\) 8.83397 2.46155i 0.517856 0.144299i
\(292\) 13.9471 + 28.0250i 0.816191 + 1.64004i
\(293\) 7.00240 0.409085 0.204542 0.978858i \(-0.434429\pi\)
0.204542 + 0.978858i \(0.434429\pi\)
\(294\) −8.23469 14.9793i −0.480257 0.873610i
\(295\) 22.1628 + 8.78561i 1.29037 + 0.511518i
\(296\) 7.36558 + 8.87600i 0.428116 + 0.515907i
\(297\) −3.48336 3.28130i −0.202125 0.190400i
\(298\) 0.410804 + 0.0342869i 0.0237972 + 0.00198619i
\(299\) 1.28580 0.0743596
\(300\) −10.4767 + 13.7927i −0.604872 + 0.796323i
\(301\) 0.689516 0.0397430
\(302\) −11.2357 0.937763i −0.646541 0.0539622i
\(303\) 3.90762 + 5.88806i 0.224487 + 0.338260i
\(304\) −22.3155 0.422271i −1.27988 0.0242189i
\(305\) 5.36768 6.48288i 0.307352 0.371209i
\(306\) −2.06464 + 12.1676i −0.118027 + 0.695576i
\(307\) 6.62875 0.378323 0.189161 0.981946i \(-0.439423\pi\)
0.189161 + 0.981946i \(0.439423\pi\)
\(308\) 0.242307 0.120588i 0.0138067 0.00687113i
\(309\) −0.569163 2.04260i −0.0323786 0.116199i
\(310\) −8.25071 15.7788i −0.468609 0.896175i
\(311\) 19.4742 14.1488i 1.10428 0.802306i 0.122526 0.992465i \(-0.460901\pi\)
0.981753 + 0.190160i \(0.0609006\pi\)
\(312\) −5.08469 1.52962i −0.287864 0.0865974i
\(313\) 16.2239 22.3303i 0.917030 1.26218i −0.0476783 0.998863i \(-0.515182\pi\)
0.964708 0.263321i \(-0.0848178\pi\)
\(314\) −22.1780 1.85104i −1.25157 0.104460i
\(315\) −0.145414 + 0.974926i −0.00819313 + 0.0549309i
\(316\) −27.6442 14.4165i −1.55511 0.810989i
\(317\) 6.14567 + 18.9144i 0.345175 + 1.06234i 0.961490 + 0.274840i \(0.0886249\pi\)
−0.616315 + 0.787500i \(0.711375\pi\)
\(318\) 13.5157 2.57808i 0.757922 0.144572i
\(319\) 7.75529 2.51985i 0.434213 0.141084i
\(320\) −17.3381 4.40334i −0.969231 0.246154i
\(321\) 11.4342 + 17.2292i 0.638195 + 0.961642i
\(322\) 0.210803 0.127813i 0.0117476 0.00712274i
\(323\) −9.54059 13.1315i −0.530852 0.730656i
\(324\) 10.2572 + 14.7916i 0.569842 + 0.821754i
\(325\) 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
\(328\) 17.2279 + 20.7607i 0.951252 + 1.14632i
\(329\) 1.05148 + 0.341648i 0.0579702 + 0.0188357i
\(330\) 4.95457 + 0.947345i 0.272740 + 0.0521496i
\(331\) −13.8344 + 4.49507i −0.760408 + 0.247072i −0.663454 0.748217i \(-0.730910\pi\)
−0.0969543 + 0.995289i \(0.530910\pi\)
\(332\) 28.2168 4.19587i 1.54860 0.230278i
\(333\) 6.32657 + 10.4709i 0.346694 + 0.573800i
\(334\) 5.27580 + 22.4424i 0.288679 + 1.22800i
\(335\) −9.90410 15.6208i −0.541119 0.853455i
\(336\) −0.985672 + 0.254660i −0.0537728 + 0.0138928i
\(337\) −1.28077 + 1.76282i −0.0697678 + 0.0960271i −0.842475 0.538736i \(-0.818902\pi\)
0.772707 + 0.634763i \(0.218902\pi\)
\(338\) −16.2797 + 3.82705i −0.885497 + 0.208164i
\(339\) −20.6817 0.877556i −1.12328 0.0476623i
\(340\) −5.04835 11.9896i −0.273785 0.650229i
\(341\) −3.04804 + 4.19527i −0.165061 + 0.227187i
\(342\) −23.3397 3.96035i −1.26207 0.214151i
\(343\) 2.05400 0.110906
\(344\) −3.28117 + 12.8603i −0.176909 + 0.693381i
\(345\) 4.56897 + 0.484544i 0.245985 + 0.0260869i
\(346\) −4.88135 8.05086i −0.262423 0.432817i
\(347\) −13.4076 4.35640i −0.719758 0.233864i −0.0738400 0.997270i \(-0.523525\pi\)
−0.645918 + 0.763406i \(0.723525\pi\)
\(348\) −30.5022 + 3.22114i −1.63509 + 0.172671i
\(349\) 16.3242 0.873812 0.436906 0.899507i \(-0.356074\pi\)
0.436906 + 0.899507i \(0.356074\pi\)
\(350\) −0.422298 0.949341i −0.0225728 0.0507444i
\(351\) −5.09214 2.40585i −0.271798 0.128415i
\(352\) 1.09605 + 5.09315i 0.0584199 + 0.271466i
\(353\) 1.83552 5.64916i 0.0976950 0.300674i −0.890252 0.455469i \(-0.849472\pi\)
0.987947 + 0.154795i \(0.0494716\pi\)
\(354\) −3.27354 + 25.9102i −0.173987 + 1.37711i
\(355\) 0.802238 12.6667i 0.0425784 0.672278i
\(356\) −2.38556 4.79350i −0.126435 0.254055i
\(357\) −0.579969 0.460167i −0.0306952 0.0243546i
\(358\) 15.1557 + 6.36183i 0.801001 + 0.336233i
\(359\) 1.27036 + 0.922972i 0.0670471 + 0.0487126i 0.620804 0.783966i \(-0.286806\pi\)
−0.553757 + 0.832678i \(0.686806\pi\)
\(360\) −17.4916 7.35149i −0.921888 0.387457i
\(361\) 9.81732 7.13270i 0.516701 0.375405i
\(362\) −11.3316 + 2.66385i −0.595575 + 0.140009i
\(363\) 4.71977 + 16.9382i 0.247724 + 0.889025i
\(364\) 0.227352 0.223091i 0.0119165 0.0116931i
\(365\) −26.9576 22.3202i −1.41102 1.16829i
\(366\) 8.34242 + 3.92577i 0.436065 + 0.205203i
\(367\) −9.78587 30.1178i −0.510818 1.57214i −0.790764 0.612121i \(-0.790316\pi\)
0.279945 0.960016i \(-0.409684\pi\)
\(368\) 1.38072 + 4.53996i 0.0719752 + 0.236662i
\(369\) 14.7977 + 24.4911i 0.770336 + 1.27496i
\(370\) −11.5512 5.73278i −0.600516 0.298033i
\(371\) −0.255064 + 0.785006i −0.0132423 + 0.0407555i
\(372\) 14.4887 13.0587i 0.751207 0.677061i
\(373\) 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
\(378\) −1.07399 + 0.111743i −0.0552403 + 0.00574744i
\(379\) −26.0098 8.45110i −1.33603 0.434104i −0.448062 0.894002i \(-0.647886\pi\)
−0.887971 + 0.459899i \(0.847886\pi\)
\(380\) 22.9983 9.68368i 1.17979 0.496762i
\(381\) 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 −0.340282 0.940323i \(-0.610523\pi\)
0.277414 + 0.960750i \(0.410523\pi\)
\(384\) −0.0592360 19.5958i −0.00302287 0.999995i
\(385\) −0.192983 + 0.233078i −0.00983531 + 0.0118787i
\(386\) 9.88560 + 0.825082i 0.503164 + 0.0419956i
\(387\) −5.46865 + 12.9718i −0.277987 + 0.659392i
\(388\) −9.38914 4.89643i −0.476661 0.248579i
\(389\) 6.07345 + 8.35939i 0.307936 + 0.423838i 0.934736 0.355342i \(-0.115636\pi\)
−0.626800 + 0.779180i \(0.715636\pi\)
\(390\) 5.89003 0.741508i 0.298253 0.0375477i
\(391\) −2.02840 + 2.79185i −0.102580 + 0.141190i
\(392\) −4.87960 + 19.1252i −0.246457 + 0.965971i
\(393\) 9.55300 + 7.57967i 0.481885 + 0.382344i
\(394\) 26.5212 + 11.1327i 1.33612 + 0.560858i
\(395\) 34.7878 + 2.20327i 1.75036 + 0.110858i
\(396\) 0.346831 + 5.51489i 0.0174289 + 0.277133i
\(397\) −17.9507 5.83254i −0.900920 0.292727i −0.178304 0.983976i \(-0.557061\pi\)
−0.722617 + 0.691249i \(0.757061\pi\)
\(398\) 0.0706481 + 0.00589650i 0.00354127 + 0.000295565i
\(399\) 0.882686 1.11249i 0.0441896 0.0556941i
\(400\) 19.7159 3.35878i 0.985797 0.167939i
\(401\) 32.4818i 1.62207i −0.585001 0.811033i \(-0.698906\pi\)
0.585001 0.811033i \(-0.301094\pi\)
\(402\) 13.8700 14.7697i 0.691773 0.736645i
\(403\) −1.88588 + 5.80413i −0.0939422 + 0.289124i
\(404\) 1.35269 8.04706i 0.0672986 0.400356i
\(405\) −17.1879 10.4679i −0.854071 0.520156i
\(406\) 0.712154 1.69655i 0.0353436 0.0841983i
\(407\) 3.75561i 0.186159i
\(408\) 11.3426 8.62735i 0.561540 0.427117i
\(409\) 7.06641 + 5.13405i 0.349412 + 0.253862i 0.748622 0.662997i \(-0.230716\pi\)
−0.399211 + 0.916859i \(0.630716\pi\)
\(410\) −27.0179 13.4088i −1.33432 0.662215i
\(411\) 5.04881 + 0.214228i 0.249039 + 0.0105671i
\(412\) −1.13216 + 2.17097i −0.0557774 + 0.106956i
\(413\) −1.26746 0.920865i −0.0623677 0.0453128i
\(414\) 0.732613 + 4.97952i 0.0360060 + 0.244730i
\(415\) −26.9363 + 17.0785i −1.32225 + 0.838351i
\(416\) 3.07903 + 5.30201i 0.150962 + 0.259953i
\(417\) 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 0.957302 0.289091i \(-0.0933529\pi\)
−0.944397 + 0.328809i \(0.893353\pi\)
\(420\) 0.891947 0.707058i 0.0435226 0.0345009i
\(421\) −11.9738 + 36.8516i −0.583567 + 1.79604i 0.0213818 + 0.999771i \(0.493193\pi\)
−0.604949 + 0.796264i \(0.706807\pi\)
\(422\) 17.7105 10.7381i 0.862135 0.522724i
\(423\) −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
\(426\) 13.6572 2.60508i 0.661695 0.126217i
\(427\) −0.447460 + 0.325099i −0.0216541 + 0.0157326i
\(428\) 3.95814 23.5468i 0.191324 1.13818i
\(429\) −0.956022 1.44055i −0.0461572 0.0695503i
\(430\) −2.47594 14.6308i −0.119401 0.705562i
\(431\) −10.3806 31.9482i −0.500016 1.53889i −0.808991 0.587820i \(-0.799986\pi\)
0.308976 0.951070i \(-0.400014\pi\)
\(432\) 3.02663 20.5631i 0.145619 0.989341i
\(433\) −13.8548 + 4.50169i −0.665818 + 0.216337i −0.622376 0.782719i \(-0.713832\pi\)
−0.0434423 + 0.999056i \(0.513832\pi\)
\(434\) 0.267767 + 1.13904i 0.0128532 + 0.0546755i
\(435\) 29.7139 17.1183i 1.42467 0.820758i
\(436\) 13.2501 + 13.5032i 0.634567 + 0.646688i
\(437\) −5.35529 3.89084i −0.256178 0.186124i
\(438\) 16.3244 34.6900i 0.780010 1.65755i
\(439\) 12.7796 + 17.5896i 0.609937 + 0.839507i 0.996572 0.0827260i \(-0.0263626\pi\)
−0.386635 + 0.922233i \(0.626363\pi\)
\(440\) −3.42884 4.70850i −0.163464 0.224469i
\(441\) −8.13272 + 19.2910i −0.387272 + 0.918619i
\(442\) −1.72578 + 4.11129i −0.0820869 + 0.195554i
\(443\) 8.06028i 0.382956i −0.981497 0.191478i \(-0.938672\pi\)
0.981497 0.191478i \(-0.0613280\pi\)
\(444\) 2.93021 13.8191i 0.139061 0.655824i
\(445\) 4.61092 + 3.81773i 0.218579 + 0.180978i
\(446\) 21.5544 + 35.5499i 1.02063 + 1.68334i
\(447\) −0.279178 0.420669i −0.0132047 0.0198970i
\(448\) 1.03184 + 0.563186i 0.0487498 + 0.0266080i
\(449\) 27.9862i 1.32075i −0.750936 0.660375i \(-0.770397\pi\)
0.750936 0.660375i \(-0.229603\pi\)
\(450\) 21.2091 0.415272i 0.999808 0.0195761i
\(451\) 8.78428i 0.413636i
\(452\) 16.7411 + 17.0609i 0.787435 + 0.802477i
\(453\) 7.63565 + 11.5055i 0.358754 + 0.540576i
\(454\) −11.6203 + 7.04553i −0.545367 + 0.330663i
\(455\) −0.131236 + 0.331060i −0.00615243 + 0.0155203i
\(456\) 16.5489 + 21.7571i 0.774971 + 1.01887i
\(457\) 12.1121i 0.566581i 0.959034 + 0.283291i \(0.0914261\pi\)
−0.959034 + 0.283291i \(0.908574\pi\)
\(458\) 10.8792 + 4.56672i 0.508352 + 0.213389i
\(459\) 13.2569 7.26122i 0.618778 0.338925i
\(460\) −3.46903 4.01409i −0.161744 0.187158i
\(461\) −2.27653 3.13338i −0.106029 0.145936i 0.752705 0.658358i \(-0.228749\pi\)
−0.858734 + 0.512422i \(0.828749\pi\)
\(462\) −0.299933 0.141142i −0.0139542 0.00656653i
\(463\) 3.45359 + 2.50918i 0.160502 + 0.116612i 0.665137 0.746721i \(-0.268373\pi\)
−0.504635 + 0.863333i \(0.668373\pi\)
\(464\) 28.2538 + 21.3558i 1.31165 + 0.991420i
\(465\) −8.88855 + 19.9138i −0.412197 + 0.923481i
\(466\) −21.7231 + 5.10670i −1.00630 + 0.236563i
\(467\) 8.56240 2.78209i 0.396221 0.128740i −0.104128 0.994564i \(-0.533205\pi\)
0.500349 + 0.865824i \(0.333205\pi\)
\(468\) 2.39381 + 6.04652i 0.110654 + 0.279500i
\(469\) 0.375593 + 1.15596i 0.0173433 + 0.0533771i
\(470\) 3.47372 23.5383i 0.160231 1.08574i
\(471\) 15.0719 + 22.7106i 0.694477 + 1.04645i
\(472\) 23.2067 19.2576i 1.06817 0.886404i
\(473\) −3.49624 + 2.54016i −0.160757 + 0.116797i
\(474\) 7.15460 + 37.5082i 0.328622 + 1.72281i
\(475\) −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
\(478\) 13.2883 + 21.9165i 0.607791 + 1.00244i
\(479\) −9.41830 + 28.9865i −0.430333 + 1.32443i 0.467461 + 0.884014i \(0.345169\pi\)
−0.897794 + 0.440415i \(0.854831\pi\)
\(480\) 8.94303 + 20.0006i 0.408191 + 0.912896i
\(481\) 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
\(484\) 9.38839 18.0027i 0.426745 0.818304i
\(485\) 11.8154 + 0.748322i 0.536510 + 0.0339795i
\(486\) 6.41581 21.0912i 0.291027 0.956715i
\(487\) −25.3173 18.3941i −1.14724 0.833517i −0.159127 0.987258i \(-0.550868\pi\)
−0.988111 + 0.153741i \(0.950868\pi\)
\(488\) −3.93418 9.89271i −0.178092 0.447822i
\(489\) −22.3920 0.950123i −1.01260 0.0429661i
\(490\) −3.68211 21.7583i −0.166341 0.982940i
\(491\) 28.2618 + 20.5334i 1.27544 + 0.926661i 0.999405 0.0344873i \(-0.0109798\pi\)
0.276034 + 0.961148i \(0.410980\pi\)
\(492\) 6.85368 32.3225i 0.308988 1.45721i
\(493\) 25.7562i 1.16000i
\(494\) −7.88621 3.31037i −0.354817 0.148940i
\(495\) −2.85428 5.47913i −0.128290 0.246269i
\(496\) −22.5186 0.426115i −1.01112 0.0191331i
\(497\) −0.257735 + 0.793227i −0.0115610 + 0.0355811i
\(498\) −25.4687 23.9173i −1.14128 1.07176i
\(499\) 13.1530i 0.588810i −0.955681 0.294405i \(-0.904879\pi\)
0.955681 0.294405i \(-0.0951215\pi\)
\(500\) −18.6277 + 12.3697i −0.833055 + 0.553189i
\(501\) 17.5499 22.1189i 0.784072 0.988200i
\(502\) 0.0747572 0.895693i 0.00333658 0.0399767i
\(503\) 14.8552 + 4.82676i 0.662362 + 0.215214i 0.620857 0.783924i \(-0.286785\pi\)
0.0415050 + 0.999138i \(0.486785\pi\)
\(504\) 0.993506 + 0.753358i 0.0442543 + 0.0335572i
\(505\) 2.26513 + 8.83744i 0.100797 + 0.393261i
\(506\) −0.598033 + 1.42468i −0.0265858 + 0.0633348i
\(507\) 16.0450 + 12.7306i 0.712582 + 0.565387i
\(508\) −19.2588 + 9.58444i −0.854470 + 0.425241i
\(509\) 1.95824 2.69529i 0.0867976 0.119467i −0.763410 0.645914i \(-0.776476\pi\)
0.850208 + 0.526448i \(0.176476\pi\)
\(510\) −7.68172 + 13.9588i −0.340152 + 0.618104i
\(511\) 1.35185 + 1.86066i 0.0598022 + 0.0823107i
\(512\) −15.4143 + 16.5650i −0.681221 + 0.732078i
\(513\) 13.9284 + 25.4292i 0.614953 + 1.12272i
\(514\) 0.590918 7.08000i 0.0260643 0.312286i
\(515\) 0.173028 2.73197i 0.00762451 0.120385i
\(516\) 14.8466 6.61890i 0.653584 0.291381i
\(517\) −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
\(520\) −5.55016 4.02311i −0.243391 0.176425i
\(521\) −33.0588 10.7414i −1.44833 0.470591i −0.523847 0.851813i \(-0.675503\pi\)
−0.924484 + 0.381222i \(0.875503\pi\)
\(522\) 26.2687 + 26.8532i 1.14975 + 1.17533i
\(523\) 19.6936 14.3082i 0.861139 0.625654i −0.0670557 0.997749i \(-0.521361\pi\)
0.928195 + 0.372095i \(0.121361\pi\)
\(524\) −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
\(528\) 4.05976 4.92247i 0.176678 0.214223i
\(529\) 6.67249 20.5358i 0.290108 0.892862i
\(530\) 17.5729 + 2.59337i 0.763320 + 0.112649i
\(531\) 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
\(534\) −2.79219 + 5.93351i −0.120830 + 0.256768i
\(535\) 6.62807 + 25.8595i 0.286556 + 1.11800i
\(536\) −23.3473 + 1.50446i −1.00845 + 0.0649829i
\(537\) −5.40353 19.3921i −0.233180 0.836829i
\(538\) −6.99786 29.7678i −0.301699 1.28338i
\(539\) −5.19944 + 3.77761i −0.223956 + 0.162713i
\(540\) 6.22763 + 22.3879i 0.267994 + 0.963420i
\(541\) 17.5283 + 12.7351i 0.753601 + 0.547523i 0.896941 0.442150i \(-0.145784\pi\)
−0.143340 + 0.989674i \(0.545784\pi\)
\(542\) 4.99651 11.9031i 0.214618 0.511281i
\(543\) 11.1682 + 8.86126i 0.479275 + 0.380273i
\(544\) −16.3695 1.67866i −0.701838 0.0719718i
\(545\) −19.6628 7.79456i −0.842261 0.333882i
\(546\) −0.387036 0.0488988i −0.0165636 0.00209268i
\(547\) −4.26103 + 13.1141i −0.182188 + 0.560718i −0.999889 0.0149263i \(-0.995249\pi\)
0.817700 + 0.575644i \(0.195249\pi\)
\(548\) −4.08683 4.16489i −0.174581 0.177915i
\(549\) −2.56717 10.9964i −0.109564 0.469316i
\(550\) 5.63865 + 3.25796i 0.240433 + 0.138920i
\(551\) −49.4052 −2.10473
\(552\) 3.31207 4.77563i 0.140971 0.203264i
\(553\) −2.17852 0.707843i −0.0926400 0.0301006i
\(554\) 31.8040 19.2832i 1.35122 0.819264i
\(555\) 3.26923 + 15.4516i 0.138771 + 0.655886i
\(556\) −16.4509 33.0560i −0.697671 1.40189i
\(557\) −34.0690 −1.44355 −0.721775 0.692127i \(-0.756674\pi\)
−0.721775 + 0.692127i \(0.756674\pi\)
\(558\) −23.5522 3.99641i −0.997046 0.169182i
\(559\) −2.98945 + 4.11462i −0.126440 + 0.174030i
\(560\) −1.30985 0.107874i −0.0553511 0.00455849i
\(561\) 4.63602 + 0.196713i 0.195733 + 0.00830523i
\(562\) 6.97170 + 29.6565i 0.294083 + 1.25098i
\(563\) −2.17518 + 2.99388i −0.0916730 + 0.126177i −0.852390 0.522907i \(-0.824848\pi\)
0.760717 + 0.649084i \(0.224848\pi\)
\(564\) 25.9200 2.73724i 1.09143 0.115259i
\(565\) −24.8433 9.84816i −1.04516 0.414315i
\(566\) −22.7132 + 5.33946i −0.954707 + 0.224434i
\(567\) 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 \(0.397127\pi\)
\(570\) −26.7755 14.7350i −1.12150 0.617180i
\(571\) 7.45937 + 2.42370i 0.312165 + 0.101429i 0.460910 0.887447i \(-0.347523\pi\)
−0.148745 + 0.988876i \(0.547523\pi\)
\(572\) −0.330942 + 1.96876i −0.0138374 + 0.0823180i
\(573\) 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
\(576\) −18.7788 + 14.9451i −0.782450 + 0.622713i
\(577\) −5.30734 7.30493i −0.220948 0.304108i 0.684126 0.729364i \(-0.260184\pi\)
−0.905073 + 0.425256i \(0.860184\pi\)
\(578\) 6.26027 + 10.3252i 0.260393 + 0.429470i
\(579\) −6.71815 10.1230i −0.279197 0.420698i
\(580\) −38.5563 9.01916i −1.60096 0.374500i
\(581\) 1.99332 0.647668i 0.0826967 0.0268698i
\(582\) 2.43000 + 12.7394i 0.100727 + 0.528064i
\(583\) −1.59863 4.92008i −0.0662085 0.203769i
\(584\) −41.1365 + 16.3594i −1.70224 + 0.676955i
\(585\) −5.18733 5.09461i −0.214470 0.210636i
\(586\) −0.823661 + 9.86858i −0.0340251 + 0.407667i
\(587\) −21.0438 + 28.9643i −0.868570 + 1.19548i 0.110888 + 0.993833i \(0.464631\pi\)
−0.979457 + 0.201651i \(0.935369\pi\)
\(588\) 22.0791 9.84332i 0.910527 0.405932i
\(589\) 25.4180 18.4672i 1.04733 0.760930i
\(590\) −14.9886 + 30.2010i −0.617071 + 1.24335i
\(591\) −9.45576 33.9346i −0.388958 1.39588i
\(592\) −13.3754 + 9.33637i −0.549728 + 0.383723i
\(593\) 13.8839 0.570143 0.285071 0.958506i \(-0.407983\pi\)
0.285071 + 0.958506i \(0.407983\pi\)
\(594\) 5.03411 4.52318i 0.206552 0.185588i
\(595\) −0.511799 0.807212i −0.0209817 0.0330925i
\(596\) −0.0966419 + 0.574918i −0.00395861 + 0.0235496i
\(597\) −0.0480117 0.0723448i −0.00196499 0.00296087i
\(598\) −0.151243 + 1.81209i −0.00618477 + 0.0741020i
\(599\) −1.11279 −0.0454673 −0.0227336 0.999742i \(-0.507237\pi\)
−0.0227336 + 0.999742i \(0.507237\pi\)
\(600\) −18.2059 16.3873i −0.743254 0.669009i
\(601\) −8.51068 −0.347158 −0.173579 0.984820i \(-0.555533\pi\)
−0.173579 + 0.984820i \(0.555533\pi\)
\(602\) −0.0811046 + 0.971743i −0.00330558 + 0.0396053i
\(603\) −24.7257 2.10208i −1.00691 0.0856034i
\(604\) 2.64320 15.7243i 0.107550 0.639812i
\(605\) −1.43483 + 22.6548i −0.0583340 + 0.921048i
\(606\) −8.75775 + 4.81448i −0.355759 + 0.195575i
\(607\) 18.2182 0.739454 0.369727 0.929140i \(-0.379451\pi\)
0.369727 + 0.929140i \(0.379451\pi\)
\(608\) 3.21998 31.3998i 0.130587 1.27343i
\(609\) −2.17078 + 0.604880i −0.0879644 + 0.0245110i
\(610\) 8.50504 + 8.32729i 0.344359 + 0.337162i
\(611\) −6.59754 + 4.79339i −0.266908 + 0.193920i
\(612\) −16.9051 4.34094i −0.683349 0.175472i
\(613\) −8.86037 + 12.1952i −0.357867 + 0.492561i −0.949553 0.313607i \(-0.898463\pi\)
0.591686 + 0.806169i \(0.298463\pi\)
\(614\) −0.779710 + 9.34199i −0.0314665 + 0.377012i
\(615\) 7.64665 + 36.1410i 0.308343 + 1.45735i
\(616\) 0.141445 + 0.355670i 0.00569897 + 0.0143304i
\(617\) 7.80536 + 24.0224i 0.314232 + 0.967107i 0.976069 + 0.217459i \(0.0697769\pi\)
−0.661837 + 0.749647i \(0.730223\pi\)
\(618\) 2.94561 0.561868i 0.118490 0.0226016i
\(619\) 21.5369 6.99777i 0.865641 0.281264i 0.157659 0.987494i \(-0.449605\pi\)
0.707983 + 0.706230i \(0.249605\pi\)
\(620\) 23.2077 9.77185i 0.932045 0.392447i
\(621\) 4.22673 4.48701i 0.169613 0.180058i
\(622\) 17.6495 + 29.1095i 0.707679 + 1.16718i
\(623\) −0.231225 0.318254i −0.00926384 0.0127506i
\(624\) 2.75380 6.98600i 0.110240 0.279664i
\(625\) 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
\(628\) 5.21739 31.0380i 0.208196 1.23855i
\(629\) −11.2818 3.66567i −0.449834 0.146160i
\(630\) −1.35687 0.319610i −0.0540591 0.0127335i
\(631\) −19.2741 + 6.26254i −0.767291 + 0.249308i −0.666405 0.745590i \(-0.732168\pi\)
−0.100886 + 0.994898i \(0.532168\pi\)
\(632\) 23.5690 37.2636i 0.937523 1.48227i
\(633\) −23.7709 8.85434i −0.944809 0.351929i
\(634\) −27.3792 + 6.43636i −1.08737 + 0.255620i
\(635\) 15.3385 18.5252i 0.608688 0.735151i
\(636\) 2.04354 + 19.3511i 0.0810316 + 0.767321i
\(637\) −4.44576 + 6.11907i −0.176148 + 0.242446i
\(638\) 2.63903 + 11.2260i 0.104480 + 0.444443i
\(639\) −12.8787 11.1399i −0.509475 0.440689i
\(640\) 8.24509 23.9169i 0.325916 0.945399i
\(641\) −12.6976 + 17.4767i −0.501524 + 0.690289i −0.982461 0.186466i \(-0.940297\pi\)
0.480937 + 0.876755i \(0.340297\pi\)
\(642\) −25.6263 + 14.0878i −1.01139 + 0.556001i
\(643\) 28.1000 1.10815 0.554077 0.832465i \(-0.313071\pi\)
0.554077 + 0.832465i \(0.313071\pi\)
\(644\) 0.155333 + 0.312122i 0.00612096 + 0.0122993i
\(645\) −12.1733 + 13.4944i −0.479323 + 0.531341i
\(646\) 19.6286 11.9011i 0.772277 0.468242i
\(647\) 18.7025 + 6.07680i 0.735270 + 0.238904i 0.652631 0.757676i \(-0.273665\pi\)
0.0826390 + 0.996580i \(0.473665\pi\)
\(648\) −22.0525 + 12.7157i −0.866303 + 0.499519i
\(649\) 9.81920 0.385437
\(650\) 7.49601 + 1.59591i 0.294018 + 0.0625969i
\(651\) 0.890723 1.12262i 0.0349102 0.0439988i
\(652\) 18.1255 + 18.4717i 0.709848 + 0.723408i
\(653\) 4.77116 14.6841i 0.186710 0.574635i −0.813264 0.581896i \(-0.802311\pi\)
0.999974 + 0.00726094i \(0.00231125\pi\)
\(654\) 2.90427 22.9874i 0.113566 0.898879i
\(655\) 8.43013 + 13.2960i 0.329393 + 0.519520i
\(656\) −31.2848 + 21.8375i −1.22147 + 0.852612i
\(657\) −45.7260 + 10.6750i −1.78394 + 0.416470i
\(658\) −0.605170 + 1.44168i −0.0235920 + 0.0562027i
\(659\) −23.6450 17.1791i −0.921077 0.669202i 0.0227147 0.999742i \(-0.492769\pi\)
−0.943792 + 0.330540i \(0.892769\pi\)
\(660\) −1.91789 + 6.87111i −0.0746537 + 0.267458i
\(661\) 6.74049 4.89725i 0.262175 0.190481i −0.448931 0.893567i \(-0.648195\pi\)
0.711105 + 0.703086i \(0.248195\pi\)
\(662\) −4.70769 20.0258i −0.182970 0.778323i
\(663\) 5.26050 1.46582i 0.204301 0.0569277i
\(664\) 2.59428 + 40.2598i 0.100678 + 1.56238i
\(665\) 1.54838 0.981725i 0.0600437 0.0380697i
\(666\) −15.5009 + 7.68447i −0.600648 + 0.297767i
\(667\) 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
\(670\) 23.1796 12.1206i 0.895505 0.468259i
\(671\) 1.07122 3.29687i 0.0413539 0.127274i
\(672\) −0.242955 1.41908i −0.00937220 0.0547420i
\(673\) −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 \(0.449585\pi\)
\(678\) 3.66945 29.0438i 0.140924 1.11542i
\(679\) −0.739916 0.240413i −0.0283954 0.00922622i
\(680\) 17.4910 5.70443i 0.670748 0.218755i
\(681\) 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 0.0514304 0.998677i \(-0.483622\pi\)
0.628615 + 0.777716i \(0.283622\pi\)
\(684\) 8.32673 32.4272i 0.318380 1.23988i
\(685\) 6.06472 + 2.40413i 0.231721 + 0.0918569i
\(686\) −0.241603 + 2.89473i −0.00922445 + 0.110521i
\(687\) −3.87883 13.9202i −0.147986 0.531090i
\(688\) −17.7383 6.13690i −0.676265 0.233967i
\(689\) −3.57860 4.92552i −0.136334 0.187647i
\(690\) −1.22030 + 6.38212i −0.0464561 + 0.242963i
\(691\) 23.7900 32.7441i 0.905014 1.24565i −0.0638268 0.997961i \(-0.520331\pi\)
0.968841 0.247684i \(-0.0796695\pi\)
\(692\) 11.9204 5.93236i 0.453144 0.225514i
\(693\) 0.0922968 + 0.395352i 0.00350606 + 0.0150182i
\(694\) 7.71661 18.3831i 0.292918 0.697813i
\(695\) 31.7969 + 26.3271i 1.20613 + 0.998645i
\(696\) −0.951753 43.3661i −0.0360761 1.64379i
\(697\) −26.3878 8.57391i −0.999509 0.324760i
\(698\) −1.92014 + 23.0059i −0.0726783 + 0.870785i
\(699\) 21.4099 + 16.9874i 0.809798 + 0.642522i
\(700\) 1.38759 0.483484i 0.0524461 0.0182740i
\(701\) 25.9868i 0.981509i 0.871298 + 0.490754i \(0.163279\pi\)
−0.871298 + 0.490754i \(0.836721\pi\)
\(702\) 3.98957 6.89343i 0.150577 0.260176i
\(703\) 7.03144 21.6405i 0.265196 0.816189i
\(704\) −7.30678 + 0.945600i −0.275384 + 0.0356386i
\(705\) −25.2501 + 14.5467i −0.950976 + 0.547860i
\(706\) 7.74553 + 3.25131i 0.291507 + 0.122365i
\(707\) 0.599517i 0.0225471i
\(708\) −36.1305 7.66114i −1.35787 0.287923i
\(709\) 11.3090 + 8.21650i 0.424720 + 0.308577i 0.779534 0.626360i \(-0.215456\pi\)
−0.354814 + 0.934937i \(0.615456\pi\)
\(710\) 17.7570 + 2.62053i 0.666408 + 0.0983468i
\(711\) 30.5947 35.3701i 1.14739 1.32648i
\(712\) 7.03615 2.79817i 0.263691 0.104866i
\(713\) −5.40405 3.92627i −0.202383 0.147040i
\(714\) 0.716739 0.763230i 0.0268233 0.0285632i
\(715\) −0.554178 2.16213i −0.0207251 0.0808591i
\(716\) −10.7485 + 20.6108i −0.401690 + 0.770260i
\(717\) 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 \(0.0966525\pi\)
−0.596261 + 0.802791i \(0.703348\pi\)
\(720\) 12.4180 23.7864i 0.462792 0.886467i
\(721\) −0.0555886 + 0.171084i −0.00207023 + 0.00637151i
\(722\) 8.89744 + 14.6747i 0.331128 + 0.546134i
\(723\) −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
\(726\) −24.4264 + 4.65927i −0.906548 + 0.172922i
\(727\) −32.3401 + 23.4965i −1.19943 + 0.871436i −0.994228 0.107283i \(-0.965785\pi\)
−0.205201 + 0.978720i \(0.565785\pi\)
\(728\) 0.287663 + 0.346652i 0.0106615 + 0.0128478i
\(729\) −25.1347 + 9.86127i −0.930916 + 0.365232i
\(730\) 34.6271 35.3662i 1.28161 1.30896i
\(731\) −4.21809 12.9819i −0.156012 0.480155i
\(732\) −6.51392 + 11.2953i −0.240761 + 0.417487i
\(733\) −48.1127 + 15.6328i −1.77708 + 0.577410i −0.998728 0.0504128i \(-0.983946\pi\)
−0.778356 + 0.627823i \(0.783946\pi\)
\(734\) 43.5965 10.2487i 1.60918 0.378288i
\(735\) −18.1036 + 20.0682i −0.667760 + 0.740228i
\(736\) −6.56064 + 1.41186i −0.241828 + 0.0520418i
\(737\) −6.16300 4.47768i −0.227017 0.164937i
\(738\) −36.2562 + 17.9738i −1.33461 + 0.661624i
\(739\) −7.82821 10.7746i −0.287965 0.396350i 0.640387 0.768053i \(-0.278774\pi\)
−0.928352 + 0.371703i \(0.878774\pi\)
\(740\) 9.43800 15.6049i 0.346948 0.573647i
\(741\) 2.81172 + 10.0906i 0.103291 + 0.370688i
\(742\) −1.07632 0.451802i −0.0395128 0.0165862i
\(743\) 41.3570i 1.51724i 0.651533 + 0.758620i \(0.274126\pi\)
−0.651533 + 0.758620i \(0.725874\pi\)
\(744\) 16.6995 + 21.9552i 0.612234 + 0.804917i
\(745\) −0.161831 0.631386i −0.00592903 0.0231322i
\(746\) −7.08246 + 4.29419i −0.259307 + 0.157221i
\(747\) −3.62481 + 42.6368i −0.132625 + 1.56000i
\(748\) −3.75269 3.82437i −0.137212 0.139833i
\(749\) 1.75426i 0.0640994i
\(750\) 26.0350 + 8.49576i 0.950664 + 0.310221i
\(751\) 22.6414i 0.826197i −0.910686 0.413098i \(-0.864447\pi\)
0.910686 0.413098i \(-0.135553\pi\)
\(752\) −24.0094 18.1477i −0.875532 0.661777i
\(753\) −0.917203 + 0.608704i −0.0334247 + 0.0221824i
\(754\) 7.03640 + 11.6052i 0.256251 + 0.422637i
\(755\) 4.42616 + 17.2687i 0.161084 + 0.628473i
\(756\) −0.0311518 1.52674i −0.00113298 0.0555270i
\(757\) 4.74016i 0.172284i 0.996283 + 0.0861420i \(0.0274539\pi\)
−0.996283 + 0.0861420i \(0.972546\pi\)
\(758\) 14.9697 35.6619i 0.543722 1.29530i
\(759\) 1.82292 0.507950i 0.0661677 0.0184374i
\(760\) 10.9422 + 33.5509i 0.396914 + 1.21702i
\(761\) 14.4110 + 19.8351i 0.522399 + 0.719020i 0.985948 0.167051i \(-0.0534243\pi\)
−0.463549 + 0.886071i \(0.653424\pi\)
\(762\) 23.8390 + 11.2181i 0.863595 + 0.406390i
\(763\) 1.12449 + 0.816987i 0.0407092 + 0.0295769i
\(764\) −1.97658 2.01433i −0.0715100 0.0728760i
\(765\) 19.2451 3.22629i 0.695809 0.116647i
\(766\) −0.418672 1.78097i −0.0151272 0.0643489i
\(767\) 10.9903 3.57098i 0.396838 0.128941i
\(768\) 27.6236 + 2.22149i 0.996782 + 0.0801610i
\(769\) −15.2533 46.9449i −0.550049 1.69288i −0.708673 0.705537i \(-0.750706\pi\)
0.158624 0.987339i \(-0.449294\pi\)
\(770\) −0.305780 0.299389i −0.0110195 0.0107892i
\(771\) −7.25003 + 4.81150i −0.261103 + 0.173282i
\(772\) −2.32560 + 13.8349i −0.0837001 + 0.497928i
\(773\) −8.19491 + 5.95395i −0.294750 + 0.214149i −0.725325 0.688406i \(-0.758311\pi\)