Properties

Label 225.2.q.a.106.28
Level $225$
Weight $2$
Character 225.106
Analytic conductor $1.797$
Analytic rank $0$
Dimension $224$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 225 = 3^{2} \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 225.q (of order \(15\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.79663404548\)
Analytic rank: \(0\)
Dimension: \(224\)
Relative dimension: \(28\) over \(\Q(\zeta_{15})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label 106.28
Character \(\chi\) \(=\) 225.106
Dual form 225.2.q.a.121.28

$q$-expansion

\(f(q)\) \(=\) \(q+(2.68409 + 0.570520i) q^{2} +(-1.72549 + 0.150630i) q^{3} +(5.05174 + 2.24918i) q^{4} +(0.420615 - 2.19615i) q^{5} +(-4.71730 - 0.580123i) q^{6} +(-0.931182 + 1.61286i) q^{7} +(7.83615 + 5.69329i) q^{8} +(2.95462 - 0.519820i) q^{9} +O(q^{10})\) \(q+(2.68409 + 0.570520i) q^{2} +(-1.72549 + 0.150630i) q^{3} +(5.05174 + 2.24918i) q^{4} +(0.420615 - 2.19615i) q^{5} +(-4.71730 - 0.580123i) q^{6} +(-0.931182 + 1.61286i) q^{7} +(7.83615 + 5.69329i) q^{8} +(2.95462 - 0.519820i) q^{9} +(2.38192 - 5.65469i) q^{10} +(-2.70264 - 0.574464i) q^{11} +(-9.05552 - 3.11999i) q^{12} +(-1.65646 + 0.352091i) q^{13} +(-3.41954 + 3.79779i) q^{14} +(-0.394961 + 3.85279i) q^{15} +(10.3844 + 11.5331i) q^{16} +(-5.11464 - 3.71600i) q^{17} +(8.22703 + 0.290429i) q^{18} +(1.23445 + 0.896882i) q^{19} +(7.06438 - 10.1484i) q^{20} +(1.36380 - 2.92323i) q^{21} +(-6.92639 - 3.08383i) q^{22} +(0.327461 - 0.363683i) q^{23} +(-14.3788 - 8.64335i) q^{24} +(-4.64617 - 1.84747i) q^{25} -4.64695 q^{26} +(-5.01986 + 1.34200i) q^{27} +(-8.33169 + 6.05333i) q^{28} +(-0.189122 - 1.79938i) q^{29} +(-3.25821 + 10.1159i) q^{30} +(0.285758 - 2.71880i) q^{31} +(11.6068 + 20.1036i) q^{32} +(4.74991 + 0.584133i) q^{33} +(-11.6081 - 12.8921i) q^{34} +(3.15040 + 2.72341i) q^{35} +(16.0952 + 4.01948i) q^{36} +(1.30318 - 4.01076i) q^{37} +(2.80169 + 3.11159i) q^{38} +(2.80516 - 0.857041i) q^{39} +(15.7993 - 14.8147i) q^{40} +(3.71670 - 0.790010i) q^{41} +(5.32832 - 7.06812i) q^{42} +(-5.30871 + 9.19495i) q^{43} +(-12.3610 - 8.98078i) q^{44} +(0.101155 - 6.70744i) q^{45} +(1.08642 - 0.789333i) q^{46} +(0.670718 + 6.38145i) q^{47} +(-19.6554 - 18.3360i) q^{48} +(1.76580 + 3.05845i) q^{49} +(-11.4167 - 7.60951i) q^{50} +(9.38499 + 5.64150i) q^{51} +(-9.15992 - 1.94700i) q^{52} +(4.80881 - 3.49380i) q^{53} +(-14.2394 + 0.738105i) q^{54} +(-2.39838 + 5.69379i) q^{55} +(-16.4793 + 7.33707i) q^{56} +(-2.26513 - 1.36161i) q^{57} +(0.518961 - 4.93758i) q^{58} +(9.93588 - 2.11194i) q^{59} +(-10.6609 + 18.5750i) q^{60} +(-7.13090 - 1.51572i) q^{61} +(2.31813 - 7.13448i) q^{62} +(-1.91290 + 5.24942i) q^{63} +(10.0928 + 31.0624i) q^{64} +(0.0765136 + 3.78593i) q^{65} +(12.4159 + 4.27779i) q^{66} +(0.914005 - 8.69618i) q^{67} +(-17.4799 - 30.2760i) q^{68} +(-0.510249 + 0.676856i) q^{69} +(6.90220 + 9.10724i) q^{70} +(2.74292 - 1.99285i) q^{71} +(26.1123 + 12.7481i) q^{72} +(4.80018 + 14.7734i) q^{73} +(5.78606 - 10.0218i) q^{74} +(8.29519 + 2.48794i) q^{75} +(4.21888 + 7.30732i) q^{76} +(3.44318 - 3.82404i) q^{77} +(8.01827 - 0.699970i) q^{78} +(1.34121 + 12.7607i) q^{79} +(29.6962 - 17.9548i) q^{80} +(8.45957 - 3.07174i) q^{81} +10.4267 q^{82} +(-0.803423 + 0.357707i) q^{83} +(13.4644 - 11.7000i) q^{84} +(-10.3122 + 9.66951i) q^{85} +(-19.4950 + 21.6513i) q^{86} +(0.597368 + 3.07632i) q^{87} +(-17.9077 - 19.8885i) q^{88} +(1.51233 + 4.65447i) q^{89} +(4.09824 - 17.9456i) q^{90} +(0.974593 - 2.99949i) q^{91} +(2.47224 - 1.10071i) q^{92} +(-0.0835387 + 4.73431i) q^{93} +(-1.84048 + 17.5110i) q^{94} +(2.48892 - 2.33380i) q^{95} +(-23.0557 - 32.9402i) q^{96} +(0.396958 + 3.77680i) q^{97} +(2.99465 + 9.21658i) q^{98} +(-8.28390 - 0.292436i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224 q - 3 q^{2} - 8 q^{3} + 23 q^{4} - 8 q^{5} - 10 q^{6} - 8 q^{7} - 20 q^{8} - 8 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 224 q - 3 q^{2} - 8 q^{3} + 23 q^{4} - 8 q^{5} - 10 q^{6} - 8 q^{7} - 20 q^{8} - 8 q^{9} - 20 q^{10} - 11 q^{11} - 4 q^{12} - 3 q^{13} + q^{14} - 48 q^{15} + 23 q^{16} - 24 q^{17} - 12 q^{19} + q^{20} + 15 q^{21} - 11 q^{22} + q^{23} - 30 q^{24} - 16 q^{25} - 136 q^{26} + 7 q^{27} + 4 q^{28} - 15 q^{29} - 24 q^{30} + 3 q^{31} + 12 q^{32} - 5 q^{33} + q^{34} + 14 q^{35} + 38 q^{36} - 24 q^{37} + 55 q^{38} + 20 q^{39} + q^{40} - 19 q^{41} - 38 q^{42} - 8 q^{43} + 4 q^{44} - 38 q^{45} - 20 q^{46} - 10 q^{47} - 25 q^{48} - 72 q^{49} - 3 q^{50} - 26 q^{51} - 25 q^{52} - 12 q^{53} + 53 q^{54} - 20 q^{55} - 60 q^{56} + 38 q^{57} - 23 q^{58} - 30 q^{59} - 33 q^{60} - 3 q^{61} - 44 q^{62} + 46 q^{63} - 44 q^{64} + 51 q^{65} - 134 q^{66} - 12 q^{67} - 156 q^{68} + 4 q^{69} - 16 q^{70} + 42 q^{71} + 74 q^{72} - 12 q^{73} + 90 q^{74} + 67 q^{75} - 8 q^{76} + 31 q^{77} - 92 q^{78} - 15 q^{79} + 298 q^{80} - 104 q^{81} + 8 q^{82} + 59 q^{83} + 115 q^{84} - 11 q^{85} + 9 q^{86} - 59 q^{87} - 23 q^{88} + 106 q^{89} + 107 q^{90} + 30 q^{91} + 11 q^{92} + 32 q^{93} + 25 q^{94} + 7 q^{95} + 35 q^{96} - 21 q^{97} + 146 q^{98} - 20 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(127\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{2}{5}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.68409 + 0.570520i 1.89794 + 0.403419i 0.999372 0.0354233i \(-0.0112779\pi\)
0.898564 + 0.438842i \(0.144611\pi\)
\(3\) −1.72549 + 0.150630i −0.996211 + 0.0869662i
\(4\) 5.05174 + 2.24918i 2.52587 + 1.12459i
\(5\) 0.420615 2.19615i 0.188105 0.982149i
\(6\) −4.71730 0.580123i −1.92583 0.236834i
\(7\) −0.931182 + 1.61286i −0.351954 + 0.609602i −0.986592 0.163208i \(-0.947816\pi\)
0.634638 + 0.772810i \(0.281149\pi\)
\(8\) 7.83615 + 5.69329i 2.77050 + 2.01288i
\(9\) 2.95462 0.519820i 0.984874 0.173273i
\(10\) 2.38192 5.65469i 0.753229 1.78817i
\(11\) −2.70264 0.574464i −0.814878 0.173208i −0.218423 0.975854i \(-0.570091\pi\)
−0.596455 + 0.802647i \(0.703424\pi\)
\(12\) −9.05552 3.11999i −2.61410 0.900664i
\(13\) −1.65646 + 0.352091i −0.459419 + 0.0976525i −0.431807 0.901966i \(-0.642124\pi\)
−0.0276122 + 0.999619i \(0.508790\pi\)
\(14\) −3.41954 + 3.79779i −0.913911 + 1.01500i
\(15\) −0.394961 + 3.85279i −0.101978 + 0.994787i
\(16\) 10.3844 + 11.5331i 2.59610 + 2.88327i
\(17\) −5.11464 3.71600i −1.24048 0.901263i −0.242851 0.970064i \(-0.578083\pi\)
−0.997630 + 0.0688008i \(0.978083\pi\)
\(18\) 8.22703 + 0.290429i 1.93913 + 0.0684547i
\(19\) 1.23445 + 0.896882i 0.283203 + 0.205759i 0.720313 0.693649i \(-0.243998\pi\)
−0.437110 + 0.899408i \(0.643998\pi\)
\(20\) 7.06438 10.1484i 1.57964 2.26924i
\(21\) 1.36380 2.92323i 0.297606 0.637900i
\(22\) −6.92639 3.08383i −1.47671 0.657474i
\(23\) 0.327461 0.363683i 0.0682804 0.0758331i −0.708037 0.706176i \(-0.750419\pi\)
0.776317 + 0.630343i \(0.217086\pi\)
\(24\) −14.3788 8.64335i −2.93505 1.76432i
\(25\) −4.64617 1.84747i −0.929233 0.369494i
\(26\) −4.64695 −0.911343
\(27\) −5.01986 + 1.34200i −0.966073 + 0.258268i
\(28\) −8.33169 + 6.05333i −1.57454 + 1.14397i
\(29\) −0.189122 1.79938i −0.0351191 0.334136i −0.997948 0.0640249i \(-0.979606\pi\)
0.962829 0.270111i \(-0.0870604\pi\)
\(30\) −3.25821 + 10.1159i −0.594864 + 1.84690i
\(31\) 0.285758 2.71880i 0.0513236 0.488312i −0.938424 0.345485i \(-0.887714\pi\)
0.989748 0.142826i \(-0.0456190\pi\)
\(32\) 11.6068 + 20.1036i 2.05182 + 3.55385i
\(33\) 4.74991 + 0.584133i 0.826853 + 0.101685i
\(34\) −11.6081 12.8921i −1.99077 2.21097i
\(35\) 3.15040 + 2.72341i 0.532516 + 0.460340i
\(36\) 16.0952 + 4.01948i 2.68253 + 0.669913i
\(37\) 1.30318 4.01076i 0.214241 0.659366i −0.784966 0.619539i \(-0.787319\pi\)
0.999207 0.0398264i \(-0.0126805\pi\)
\(38\) 2.80169 + 3.11159i 0.454494 + 0.504766i
\(39\) 2.80516 0.857041i 0.449186 0.137236i
\(40\) 15.7993 14.8147i 2.49809 2.34241i
\(41\) 3.71670 0.790010i 0.580452 0.123379i 0.0916768 0.995789i \(-0.470777\pi\)
0.488775 + 0.872410i \(0.337444\pi\)
\(42\) 5.32832 7.06812i 0.822178 1.09063i
\(43\) −5.30871 + 9.19495i −0.809571 + 1.40222i 0.103591 + 0.994620i \(0.466967\pi\)
−0.913162 + 0.407597i \(0.866367\pi\)
\(44\) −12.3610 8.98078i −1.86349 1.35390i
\(45\) 0.101155 6.70744i 0.0150793 0.999886i
\(46\) 1.08642 0.789333i 0.160184 0.116381i
\(47\) 0.670718 + 6.38145i 0.0978342 + 0.930831i 0.927816 + 0.373039i \(0.121684\pi\)
−0.829981 + 0.557791i \(0.811649\pi\)
\(48\) −19.6554 18.3360i −2.83702 2.64657i
\(49\) 1.76580 + 3.05845i 0.252257 + 0.436922i
\(50\) −11.4167 7.60951i −1.61456 1.07615i
\(51\) 9.38499 + 5.64150i 1.31416 + 0.789968i
\(52\) −9.15992 1.94700i −1.27025 0.270000i
\(53\) 4.80881 3.49380i 0.660540 0.479911i −0.206305 0.978488i \(-0.566144\pi\)
0.866845 + 0.498577i \(0.166144\pi\)
\(54\) −14.2394 + 0.738105i −1.93774 + 0.100443i
\(55\) −2.39838 + 5.69379i −0.323398 + 0.767750i
\(56\) −16.4793 + 7.33707i −2.20214 + 0.980458i
\(57\) −2.26513 1.36161i −0.300024 0.180350i
\(58\) 0.518961 4.93758i 0.0681429 0.648336i
\(59\) 9.93588 2.11194i 1.29354 0.274951i 0.490797 0.871274i \(-0.336706\pi\)
0.802744 + 0.596323i \(0.203372\pi\)
\(60\) −10.6609 + 18.5750i −1.37631 + 2.39802i
\(61\) −7.13090 1.51572i −0.913019 0.194068i −0.272630 0.962119i \(-0.587893\pi\)
−0.640389 + 0.768051i \(0.721227\pi\)
\(62\) 2.31813 7.13448i 0.294403 0.906079i
\(63\) −1.91290 + 5.24942i −0.241002 + 0.661365i
\(64\) 10.0928 + 31.0624i 1.26160 + 3.88280i
\(65\) 0.0765136 + 3.78593i 0.00949034 + 0.469587i
\(66\) 12.4159 + 4.27779i 1.52829 + 0.526559i
\(67\) 0.914005 8.69618i 0.111664 1.06241i −0.784939 0.619572i \(-0.787306\pi\)
0.896603 0.442835i \(-0.146027\pi\)
\(68\) −17.4799 30.2760i −2.11975 3.67151i
\(69\) −0.510249 + 0.676856i −0.0614268 + 0.0814839i
\(70\) 6.90220 + 9.10724i 0.824971 + 1.08852i
\(71\) 2.74292 1.99285i 0.325524 0.236507i −0.413005 0.910729i \(-0.635521\pi\)
0.738529 + 0.674222i \(0.235521\pi\)
\(72\) 26.1123 + 12.7481i 3.07737 + 1.50238i
\(73\) 4.80018 + 14.7734i 0.561818 + 1.72910i 0.677221 + 0.735780i \(0.263184\pi\)
−0.115403 + 0.993319i \(0.536816\pi\)
\(74\) 5.78606 10.0218i 0.672616 1.16501i
\(75\) 8.29519 + 2.48794i 0.957846 + 0.287282i
\(76\) 4.21888 + 7.30732i 0.483939 + 0.838207i
\(77\) 3.44318 3.82404i 0.392387 0.435790i
\(78\) 8.01827 0.699970i 0.907890 0.0792560i
\(79\) 1.34121 + 12.7607i 0.150898 + 1.43570i 0.763757 + 0.645503i \(0.223352\pi\)
−0.612860 + 0.790192i \(0.709981\pi\)
\(80\) 29.6962 17.9548i 3.32014 2.00740i
\(81\) 8.45957 3.07174i 0.939953 0.341305i
\(82\) 10.4267 1.15143
\(83\) −0.803423 + 0.357707i −0.0881871 + 0.0392634i −0.450356 0.892849i \(-0.648703\pi\)
0.362169 + 0.932112i \(0.382036\pi\)
\(84\) 13.4644 11.7000i 1.46909 1.27657i
\(85\) −10.3122 + 9.66951i −1.11851 + 1.04881i
\(86\) −19.4950 + 21.6513i −2.10219 + 2.33472i
\(87\) 0.597368 + 3.07632i 0.0640446 + 0.329816i
\(88\) −17.9077 19.8885i −1.90897 2.12012i
\(89\) 1.51233 + 4.65447i 0.160306 + 0.493372i 0.998660 0.0517547i \(-0.0164814\pi\)
−0.838353 + 0.545127i \(0.816481\pi\)
\(90\) 4.09824 17.9456i 0.431993 1.89164i
\(91\) 0.974593 2.99949i 0.102165 0.314432i
\(92\) 2.47224 1.10071i 0.257749 0.114757i
\(93\) −0.0835387 + 4.73431i −0.00866256 + 0.490925i
\(94\) −1.84048 + 17.5110i −0.189831 + 1.80613i
\(95\) 2.48892 2.33380i 0.255358 0.239443i
\(96\) −23.0557 32.9402i −2.35311 3.36195i
\(97\) 0.396958 + 3.77680i 0.0403049 + 0.383476i 0.996016 + 0.0891705i \(0.0284216\pi\)
−0.955711 + 0.294305i \(0.904912\pi\)
\(98\) 2.99465 + 9.21658i 0.302505 + 0.931015i
\(99\) −8.28390 0.292436i −0.832564 0.0293910i
\(100\) −19.3159 19.7830i −1.93159 1.97830i
\(101\) 3.33145 5.77025i 0.331492 0.574161i −0.651313 0.758810i \(-0.725781\pi\)
0.982805 + 0.184648i \(0.0591146\pi\)
\(102\) 21.9715 + 20.4966i 2.17551 + 2.02947i
\(103\) −1.40438 0.625269i −0.138377 0.0616096i 0.336380 0.941726i \(-0.390797\pi\)
−0.474757 + 0.880117i \(0.657464\pi\)
\(104\) −14.9848 6.67167i −1.46938 0.654211i
\(105\) −5.84621 4.22467i −0.570532 0.412285i
\(106\) 14.9005 6.63415i 1.44727 0.644366i
\(107\) −14.6327 −1.41460 −0.707299 0.706914i \(-0.750087\pi\)
−0.707299 + 0.706914i \(0.750087\pi\)
\(108\) −28.3775 4.51115i −2.73062 0.434086i
\(109\) 0.620591 1.90998i 0.0594418 0.182943i −0.916927 0.399056i \(-0.869338\pi\)
0.976368 + 0.216113i \(0.0693379\pi\)
\(110\) −9.68590 + 13.9143i −0.923514 + 1.32668i
\(111\) −1.64447 + 7.11683i −0.156087 + 0.675499i
\(112\) −28.2709 + 6.00918i −2.67135 + 0.567814i
\(113\) 13.0613 2.77626i 1.22870 0.261169i 0.452565 0.891732i \(-0.350509\pi\)
0.776138 + 0.630563i \(0.217176\pi\)
\(114\) −5.30298 4.94699i −0.496669 0.463328i
\(115\) −0.660967 0.872125i −0.0616355 0.0813261i
\(116\) 3.09173 9.51536i 0.287060 0.883479i
\(117\) −4.71118 + 1.90136i −0.435549 + 0.175780i
\(118\) 27.8737 2.56598
\(119\) 10.7560 4.78889i 0.986004 0.438997i
\(120\) −25.0300 + 27.9424i −2.28492 + 2.55078i
\(121\) −3.07473 1.36896i −0.279521 0.124451i
\(122\) −18.2752 8.13665i −1.65456 0.736658i
\(123\) −6.29413 + 1.92300i −0.567523 + 0.173391i
\(124\) 7.55865 13.0920i 0.678787 1.17569i
\(125\) −6.01157 + 9.42661i −0.537692 + 0.843142i
\(126\) −8.12928 + 12.9986i −0.724214 + 1.15800i
\(127\) 1.59486 + 4.90847i 0.141521 + 0.435556i 0.996547 0.0830282i \(-0.0264591\pi\)
−0.855026 + 0.518585i \(0.826459\pi\)
\(128\) 4.51521 + 42.9594i 0.399092 + 3.79711i
\(129\) 7.77508 16.6654i 0.684558 1.46731i
\(130\) −1.95458 + 10.2054i −0.171428 + 0.895074i
\(131\) 1.24905 11.8839i 0.109130 1.03830i −0.793701 0.608307i \(-0.791849\pi\)
0.902831 0.429995i \(-0.141485\pi\)
\(132\) 22.6815 + 13.6343i 1.97417 + 1.18671i
\(133\) −2.59604 + 1.15583i −0.225105 + 0.100223i
\(134\) 7.41462 22.8199i 0.640526 1.97134i
\(135\) 0.835799 + 11.5888i 0.0719342 + 0.997409i
\(136\) −18.9228 58.2383i −1.62261 4.99389i
\(137\) −2.90001 3.22078i −0.247764 0.275170i 0.606415 0.795148i \(-0.292607\pi\)
−0.854180 + 0.519978i \(0.825940\pi\)
\(138\) −1.75571 + 1.52563i −0.149456 + 0.129870i
\(139\) 8.91270 9.89856i 0.755966 0.839585i −0.235237 0.971938i \(-0.575587\pi\)
0.991203 + 0.132353i \(0.0422533\pi\)
\(140\) 9.78959 + 20.8438i 0.827372 + 1.76162i
\(141\) −2.11855 10.9101i −0.178414 0.918796i
\(142\) 8.49919 3.78408i 0.713236 0.317553i
\(143\) 4.67908 0.391284
\(144\) 36.6771 + 28.6778i 3.05643 + 2.38982i
\(145\) −4.03125 0.341505i −0.334777 0.0283604i
\(146\) 4.45555 + 42.3918i 0.368744 + 3.50837i
\(147\) −3.50756 5.01134i −0.289299 0.413329i
\(148\) 15.6042 17.3303i 1.28266 1.42454i
\(149\) −1.42735 2.47225i −0.116933 0.202535i 0.801618 0.597837i \(-0.203973\pi\)
−0.918551 + 0.395303i \(0.870640\pi\)
\(150\) 20.8456 + 11.4104i 1.70204 + 0.931657i
\(151\) 5.61232 9.72082i 0.456724 0.791069i −0.542062 0.840339i \(-0.682356\pi\)
0.998786 + 0.0492697i \(0.0156894\pi\)
\(152\) 4.56713 + 14.0562i 0.370443 + 1.14011i
\(153\) −17.0435 8.32068i −1.37788 0.672688i
\(154\) 11.4235 8.29965i 0.920531 0.668805i
\(155\) −5.85071 1.77114i −0.469940 0.142261i
\(156\) 16.0986 + 1.97977i 1.28892 + 0.158508i
\(157\) −7.23692 12.5347i −0.577569 1.00038i −0.995757 0.0920188i \(-0.970668\pi\)
0.418188 0.908360i \(-0.362665\pi\)
\(158\) −3.68034 + 35.0161i −0.292792 + 2.78573i
\(159\) −7.77127 + 6.75287i −0.616302 + 0.535537i
\(160\) 49.0326 17.0345i 3.87637 1.34669i
\(161\) 0.281641 + 0.866803i 0.0221964 + 0.0683136i
\(162\) 24.4587 3.41847i 1.92166 0.268580i
\(163\) 2.58162 7.94542i 0.202208 0.622333i −0.797608 0.603176i \(-0.793902\pi\)
0.999816 0.0191571i \(-0.00609828\pi\)
\(164\) 20.5527 + 4.36861i 1.60490 + 0.341131i
\(165\) 3.28073 10.1858i 0.255405 0.792966i
\(166\) −2.36054 + 0.501747i −0.183213 + 0.0389432i
\(167\) −1.18258 + 11.2515i −0.0915109 + 0.870668i 0.848425 + 0.529316i \(0.177551\pi\)
−0.939936 + 0.341352i \(0.889115\pi\)
\(168\) 27.3297 15.1423i 2.10853 1.16826i
\(169\) −9.25621 + 4.12113i −0.712016 + 0.317010i
\(170\) −33.1955 + 20.0705i −2.54598 + 1.53934i
\(171\) 4.11355 + 2.00825i 0.314571 + 0.153575i
\(172\) −47.4993 + 34.5103i −3.62179 + 2.63139i
\(173\) −6.21968 1.32203i −0.472874 0.100512i −0.0346904 0.999398i \(-0.511045\pi\)
−0.438183 + 0.898886i \(0.644378\pi\)
\(174\) −0.151713 + 8.59791i −0.0115014 + 0.651806i
\(175\) 7.30613 5.77326i 0.552291 0.436417i
\(176\) −21.4400 37.1352i −1.61610 2.79917i
\(177\) −16.8261 + 5.14076i −1.26473 + 0.386403i
\(178\) 1.40375 + 13.3558i 0.105216 + 1.00106i
\(179\) 5.40088 3.92397i 0.403681 0.293291i −0.367358 0.930080i \(-0.619738\pi\)
0.771039 + 0.636788i \(0.219738\pi\)
\(180\) 15.5973 33.6567i 1.16255 2.50863i
\(181\) 5.85623 + 4.25480i 0.435290 + 0.316257i 0.783761 0.621063i \(-0.213299\pi\)
−0.348470 + 0.937320i \(0.613299\pi\)
\(182\) 4.32716 7.49486i 0.320751 0.555556i
\(183\) 12.5326 + 1.54123i 0.926437 + 0.113931i
\(184\) 4.63659 0.985537i 0.341814 0.0726547i
\(185\) −8.26011 4.54896i −0.607295 0.334446i
\(186\) −2.92524 + 12.6596i −0.214489 + 0.928250i
\(187\) 11.6883 + 12.9812i 0.854735 + 0.949280i
\(188\) −10.9647 + 33.7460i −0.799686 + 2.46118i
\(189\) 2.50996 9.34596i 0.182573 0.679818i
\(190\) 8.01195 4.84415i 0.581248 0.351431i
\(191\) 0.759730 + 0.843766i 0.0549721 + 0.0610527i 0.770004 0.638039i \(-0.220254\pi\)
−0.715032 + 0.699092i \(0.753588\pi\)
\(192\) −22.0939 52.0776i −1.59449 3.75837i
\(193\) 1.53746 + 2.66296i 0.110669 + 0.191684i 0.916040 0.401087i \(-0.131367\pi\)
−0.805371 + 0.592771i \(0.798034\pi\)
\(194\) −1.08927 + 10.3637i −0.0782052 + 0.744073i
\(195\) −0.702297 6.52105i −0.0502926 0.466982i
\(196\) 2.04135 + 19.4221i 0.145811 + 1.38729i
\(197\) 18.8592 13.7020i 1.34366 0.976227i 0.344360 0.938838i \(-0.388096\pi\)
0.999301 0.0373893i \(-0.0119042\pi\)
\(198\) −22.0679 5.51106i −1.56830 0.391654i
\(199\) −18.6167 −1.31970 −0.659851 0.751396i \(-0.729381\pi\)
−0.659851 + 0.751396i \(0.729381\pi\)
\(200\) −25.8898 40.9290i −1.83069 2.89412i
\(201\) −0.267201 + 15.1428i −0.0188469 + 1.06809i
\(202\) 12.2340 13.5872i 0.860778 0.955991i
\(203\) 3.07824 + 1.37052i 0.216050 + 0.0961917i
\(204\) 34.7218 + 49.6079i 2.43101 + 3.47325i
\(205\) −0.171679 8.49473i −0.0119905 0.593298i
\(206\) −3.41274 2.47950i −0.237777 0.172755i
\(207\) 0.778475 1.24477i 0.0541077 0.0865172i
\(208\) −21.2620 15.4478i −1.47426 1.07111i
\(209\) −2.82106 3.13310i −0.195136 0.216721i
\(210\) −13.2815 14.6748i −0.916510 1.01265i
\(211\) −7.70340 + 8.55549i −0.530324 + 0.588984i −0.947466 0.319857i \(-0.896365\pi\)
0.417142 + 0.908841i \(0.363032\pi\)
\(212\) 32.1510 6.83391i 2.20814 0.469355i
\(213\) −4.43269 + 3.85180i −0.303723 + 0.263921i
\(214\) −39.2755 8.34827i −2.68482 0.570676i
\(215\) 17.9606 + 15.5263i 1.22490 + 1.05888i
\(216\) −46.9768 18.0635i −3.19637 1.22906i
\(217\) 4.11894 + 2.99259i 0.279612 + 0.203150i
\(218\) 2.75541 4.77250i 0.186620 0.323235i
\(219\) −10.5080 24.7683i −0.710063 1.67369i
\(220\) −24.9224 + 23.3691i −1.68027 + 1.57555i
\(221\) 9.78055 + 4.35458i 0.657911 + 0.292921i
\(222\) −8.47421 + 18.1640i −0.568752 + 1.21909i
\(223\) 2.00257 + 0.425659i 0.134102 + 0.0285043i 0.274474 0.961595i \(-0.411496\pi\)
−0.140372 + 0.990099i \(0.544830\pi\)
\(224\) −43.2323 −2.88858
\(225\) −14.6880 3.04340i −0.979201 0.202894i
\(226\) 36.6416 2.43736
\(227\) −14.8654 3.15974i −0.986653 0.209720i −0.313795 0.949491i \(-0.601600\pi\)
−0.672858 + 0.739771i \(0.734934\pi\)
\(228\) −8.38034 11.9732i −0.555001 0.792945i
\(229\) −0.192216 0.0855802i −0.0127020 0.00565530i 0.400376 0.916351i \(-0.368880\pi\)
−0.413078 + 0.910696i \(0.635546\pi\)
\(230\) −1.27653 2.71796i −0.0841718 0.179217i
\(231\) −5.36515 + 7.11698i −0.353001 + 0.468263i
\(232\) 8.76239 15.1769i 0.575279 0.996413i
\(233\) −13.5683 9.85792i −0.888887 0.645814i 0.0467009 0.998909i \(-0.485129\pi\)
−0.935587 + 0.353095i \(0.885129\pi\)
\(234\) −13.7300 + 2.41558i −0.897557 + 0.157911i
\(235\) 14.2968 + 1.21114i 0.932617 + 0.0790060i
\(236\) 54.9436 + 11.6786i 3.57653 + 0.760214i
\(237\) −4.23639 21.8165i −0.275183 1.41713i
\(238\) 31.6023 6.71727i 2.04847 0.435416i
\(239\) −16.5230 + 18.3506i −1.06878 + 1.18700i −0.0871544 + 0.996195i \(0.527777\pi\)
−0.981627 + 0.190808i \(0.938889\pi\)
\(240\) −48.5359 + 35.4539i −3.13298 + 2.28854i
\(241\) −2.03608 2.26129i −0.131155 0.145663i 0.673990 0.738741i \(-0.264579\pi\)
−0.805145 + 0.593078i \(0.797913\pi\)
\(242\) −7.47183 5.42860i −0.480307 0.348964i
\(243\) −14.1342 + 6.57452i −0.906709 + 0.421756i
\(244\) −32.6144 23.6957i −2.08792 1.51696i
\(245\) 7.45955 2.59153i 0.476573 0.165567i
\(246\) −17.9911 + 1.57057i −1.14707 + 0.100136i
\(247\) −2.36060 1.05101i −0.150201 0.0668740i
\(248\) 17.7182 19.6780i 1.12511 1.24956i
\(249\) 1.33242 0.738238i 0.0844384 0.0467840i
\(250\) −21.5137 + 21.8721i −1.36064 + 1.38331i
\(251\) −24.9480 −1.57470 −0.787352 0.616504i \(-0.788548\pi\)
−0.787352 + 0.616504i \(0.788548\pi\)
\(252\) −21.4704 + 22.2163i −1.35251 + 1.39949i
\(253\) −1.09393 + 0.794789i −0.0687750 + 0.0499680i
\(254\) 1.48036 + 14.0847i 0.0928859 + 0.883751i
\(255\) 16.3371 18.2380i 1.02307 1.14211i
\(256\) −5.56198 + 52.9187i −0.347624 + 3.30742i
\(257\) −2.15283 3.72881i −0.134290 0.232597i 0.791036 0.611770i \(-0.209542\pi\)
−0.925326 + 0.379172i \(0.876209\pi\)
\(258\) 30.3770 40.2957i 1.89119 2.50870i
\(259\) 5.25529 + 5.83659i 0.326548 + 0.362668i
\(260\) −8.12871 + 19.2976i −0.504121 + 1.19679i
\(261\) −1.49414 5.21817i −0.0924848 0.322996i
\(262\) 10.1326 31.1849i 0.625992 1.92661i
\(263\) −8.56916 9.51702i −0.528397 0.586844i 0.418566 0.908186i \(-0.362533\pi\)
−0.946963 + 0.321342i \(0.895866\pi\)
\(264\) 33.8954 + 31.6200i 2.08611 + 1.94608i
\(265\) −5.65026 12.0304i −0.347093 0.739023i
\(266\) −7.62742 + 1.62126i −0.467667 + 0.0994058i
\(267\) −3.31061 7.80343i −0.202606 0.477562i
\(268\) 24.1766 41.8751i 1.47682 2.55793i
\(269\) 16.3393 + 11.8712i 0.996227 + 0.723801i 0.961276 0.275588i \(-0.0888724\pi\)
0.0349513 + 0.999389i \(0.488872\pi\)
\(270\) −4.36832 + 31.5823i −0.265847 + 1.92204i
\(271\) 6.40204 4.65136i 0.388897 0.282550i −0.376107 0.926576i \(-0.622737\pi\)
0.765003 + 0.644027i \(0.222737\pi\)
\(272\) −10.2556 97.5760i −0.621840 5.91641i
\(273\) −1.22984 + 5.32238i −0.0744331 + 0.322125i
\(274\) −5.94635 10.2994i −0.359232 0.622208i
\(275\) 11.4956 + 7.66211i 0.693212 + 0.462043i
\(276\) −4.10002 + 2.27166i −0.246792 + 0.136738i
\(277\) −0.176092 0.0374296i −0.0105804 0.00224892i 0.202618 0.979258i \(-0.435055\pi\)
−0.213199 + 0.977009i \(0.568388\pi\)
\(278\) 29.5698 21.4837i 1.77348 1.28851i
\(279\) −0.568983 8.18158i −0.0340641 0.489818i
\(280\) 9.18186 + 39.2772i 0.548721 + 2.34726i
\(281\) −1.48639 + 0.661783i −0.0886705 + 0.0394786i −0.450593 0.892730i \(-0.648787\pi\)
0.361922 + 0.932208i \(0.382121\pi\)
\(282\) 0.538049 30.4923i 0.0320403 1.81579i
\(283\) 0.382272 3.63707i 0.0227237 0.216201i −0.977268 0.212010i \(-0.931999\pi\)
0.999991 0.00419159i \(-0.00133423\pi\)
\(284\) 18.3388 3.89803i 1.08821 0.231305i
\(285\) −3.94306 + 4.40185i −0.233567 + 0.260743i
\(286\) 12.5591 + 2.66951i 0.742633 + 0.157851i
\(287\) −2.18676 + 6.73015i −0.129080 + 0.397268i
\(288\) 44.7441 + 53.3651i 2.63657 + 3.14457i
\(289\) 7.09756 + 21.8440i 0.417503 + 1.28494i
\(290\) −10.6254 3.21654i −0.623945 0.188882i
\(291\) −1.25384 6.45703i −0.0735017 0.378518i
\(292\) −8.97884 + 85.4280i −0.525447 + 4.99929i
\(293\) 12.2406 + 21.2013i 0.715101 + 1.23859i 0.962921 + 0.269785i \(0.0869525\pi\)
−0.247820 + 0.968806i \(0.579714\pi\)
\(294\) −6.55553 15.4520i −0.382326 0.901180i
\(295\) −0.458949 22.7090i −0.0267210 1.32217i
\(296\) 33.0463 24.0096i 1.92078 1.39553i
\(297\) 14.3378 0.743208i 0.831965 0.0431253i
\(298\) −2.42067 7.45007i −0.140226 0.431571i
\(299\) −0.414377 + 0.717721i −0.0239640 + 0.0415069i
\(300\) 36.3093 + 31.2258i 2.09632 + 1.80282i
\(301\) −9.88675 17.1244i −0.569863 0.987032i
\(302\) 20.6099 22.8896i 1.18597 1.31715i
\(303\) −4.87921 + 10.4583i −0.280304 + 0.600814i
\(304\) 2.47527 + 23.5506i 0.141966 + 1.35072i
\(305\) −6.32812 + 15.0230i −0.362347 + 0.860215i
\(306\) −40.9990 32.0571i −2.34376 1.83258i
\(307\) 3.80945 0.217417 0.108708 0.994074i \(-0.465329\pi\)
0.108708 + 0.994074i \(0.465329\pi\)
\(308\) 25.9950 11.5737i 1.48120 0.659474i
\(309\) 2.51742 + 0.867354i 0.143211 + 0.0493420i
\(310\) −14.6934 8.09184i −0.834526 0.459586i
\(311\) −16.8714 + 18.7375i −0.956687 + 1.06251i 0.0413039 + 0.999147i \(0.486849\pi\)
−0.997991 + 0.0633616i \(0.979818\pi\)
\(312\) 26.8611 + 9.25472i 1.52071 + 0.523945i
\(313\) 17.3585 + 19.2786i 0.981161 + 1.08969i 0.995960 + 0.0897989i \(0.0286224\pi\)
−0.0147991 + 0.999890i \(0.504711\pi\)
\(314\) −12.2732 37.7731i −0.692618 2.13166i
\(315\) 10.7239 + 6.40900i 0.604225 + 0.361106i
\(316\) −21.9258 + 67.4806i −1.23342 + 3.79608i
\(317\) −20.9744 + 9.33841i −1.17804 + 0.524497i −0.899923 0.436050i \(-0.856377\pi\)
−0.278118 + 0.960547i \(0.589711\pi\)
\(318\) −24.7114 + 13.6916i −1.38575 + 0.767788i
\(319\) −0.522549 + 4.97172i −0.0292571 + 0.278363i
\(320\) 72.4630 9.09997i 4.05080 0.508704i
\(321\) 25.2486 2.20413i 1.40924 0.123022i
\(322\) 0.261421 + 2.48726i 0.0145684 + 0.138609i
\(323\) −2.98096 9.17445i −0.165865 0.510480i
\(324\) 49.6445 + 3.50945i 2.75803 + 0.194969i
\(325\) 8.34666 + 1.42438i 0.462989 + 0.0790106i
\(326\) 11.4623 19.8533i 0.634839 1.09957i
\(327\) −0.783122 + 3.38913i −0.0433068 + 0.187420i
\(328\) 33.6224 + 14.9697i 1.85649 + 0.826561i
\(329\) −10.9169 4.86053i −0.601869 0.267969i
\(330\) 14.6170 25.4679i 0.804639 1.40196i
\(331\) 5.62038 2.50235i 0.308924 0.137542i −0.246419 0.969163i \(-0.579254\pi\)
0.555343 + 0.831622i \(0.312587\pi\)
\(332\) −4.86323 −0.266904
\(333\) 1.76552 12.5277i 0.0967497 0.686514i
\(334\) −9.59337 + 29.5254i −0.524926 + 1.61556i
\(335\) −18.7137 5.66504i −1.02244 0.309514i
\(336\) 47.8760 14.6272i 2.61185 0.797980i
\(337\) 14.7319 3.13136i 0.802498 0.170576i 0.211636 0.977349i \(-0.432121\pi\)
0.590862 + 0.806772i \(0.298788\pi\)
\(338\) −27.1957 + 5.78061i −1.47925 + 0.314424i
\(339\) −22.1189 + 6.75783i −1.20133 + 0.367035i
\(340\) −73.8430 + 25.6539i −4.00470 + 1.39128i
\(341\) −2.33416 + 7.18380i −0.126402 + 0.389024i
\(342\) 9.89539 + 7.73719i 0.535082 + 0.418380i
\(343\) −19.6137 −1.05904
\(344\) −93.9494 + 41.8290i −5.06541 + 2.25527i
\(345\) 1.27186 + 1.40528i 0.0684746 + 0.0756578i
\(346\) −15.9399 7.09691i −0.856935 0.381532i
\(347\) −15.3731 6.84453i −0.825269 0.367434i −0.0497533 0.998762i \(-0.515844\pi\)
−0.775516 + 0.631328i \(0.782510\pi\)
\(348\) −3.90144 + 16.8843i −0.209139 + 0.905096i
\(349\) −7.75462 + 13.4314i −0.415096 + 0.718967i −0.995438 0.0954057i \(-0.969585\pi\)
0.580343 + 0.814372i \(0.302919\pi\)
\(350\) 22.9041 11.3276i 1.22427 0.605488i
\(351\) 7.84269 3.99041i 0.418612 0.212993i
\(352\) −19.8203 61.0006i −1.05643 3.25134i
\(353\) −0.982184 9.34486i −0.0522764 0.497377i −0.989065 0.147481i \(-0.952884\pi\)
0.936789 0.349896i \(-0.113783\pi\)
\(354\) −48.0957 + 4.19861i −2.55626 + 0.223154i
\(355\) −3.22288 6.86209i −0.171053 0.364202i
\(356\) −2.82885 + 26.9147i −0.149928 + 1.42647i
\(357\) −17.8381 + 9.88336i −0.944090 + 0.523083i
\(358\) 16.7351 7.45097i 0.884480 0.393796i
\(359\) −2.47394 + 7.61399i −0.130569 + 0.401851i −0.994875 0.101116i \(-0.967759\pi\)
0.864305 + 0.502968i \(0.167759\pi\)
\(360\) 38.9801 51.9846i 2.05443 2.73983i
\(361\) −5.15185 15.8558i −0.271150 0.834514i
\(362\) 13.2912 + 14.7614i 0.698569 + 0.775840i
\(363\) 5.51162 + 1.89898i 0.289285 + 0.0996704i
\(364\) 11.6698 12.9606i 0.611663 0.679320i
\(365\) 34.4637 4.32799i 1.80391 0.226537i
\(366\) 32.7593 + 11.2869i 1.71236 + 0.589976i
\(367\) 24.1256 10.7414i 1.25935 0.560698i 0.334990 0.942222i \(-0.391267\pi\)
0.924359 + 0.381524i \(0.124601\pi\)
\(368\) 7.59487 0.395910
\(369\) 10.5708 4.26620i 0.550293 0.222089i
\(370\) −19.5756 16.9224i −1.01769 0.879752i
\(371\) 1.15712 + 11.0093i 0.0600747 + 0.571573i
\(372\) −11.0703 + 23.7286i −0.573970 + 1.23027i
\(373\) −13.8997 + 15.4372i −0.719700 + 0.799308i −0.986381 0.164477i \(-0.947406\pi\)
0.266681 + 0.963785i \(0.414073\pi\)
\(374\) 23.9665 + 41.5111i 1.23928 + 2.14649i
\(375\) 8.95297 17.1710i 0.462330 0.886708i
\(376\) −31.0756 + 53.8246i −1.60260 + 2.77579i
\(377\) 0.946817 + 2.91400i 0.0487636 + 0.150079i
\(378\) 12.0690 23.6534i 0.620763 1.21660i
\(379\) 15.5059 11.2657i 0.796485 0.578680i −0.113396 0.993550i \(-0.536173\pi\)
0.909881 + 0.414870i \(0.136173\pi\)
\(380\) 17.8225 6.19174i 0.914276 0.317629i
\(381\) −3.49127 8.22928i −0.178863 0.421599i
\(382\) 1.55780 + 2.69818i 0.0797038 + 0.138051i
\(383\) 2.52616 24.0348i 0.129081 1.22812i −0.717765 0.696285i \(-0.754835\pi\)
0.846846 0.531838i \(-0.178498\pi\)
\(384\) −14.2619 73.4458i −0.727800 3.74802i
\(385\) −6.94992 9.17020i −0.354201 0.467357i
\(386\) 2.60740 + 8.02476i 0.132713 + 0.408449i
\(387\) −10.9055 + 29.9272i −0.554358 + 1.52128i
\(388\) −6.48938 + 19.9722i −0.329448 + 1.01394i
\(389\) 36.8855 + 7.84025i 1.87017 + 0.397517i 0.996096 0.0882786i \(-0.0281366\pi\)
0.874073 + 0.485795i \(0.161470\pi\)
\(390\) 1.83537 17.9037i 0.0929373 0.906591i
\(391\) −3.02629 + 0.643258i −0.153046 + 0.0325310i
\(392\) −3.57561 + 34.0197i −0.180596 + 1.71825i
\(393\) −0.365148 + 20.6937i −0.0184193 + 1.04386i
\(394\) 58.4370 26.0178i 2.94401 1.31076i
\(395\) 28.5887 + 2.42187i 1.43845 + 0.121857i
\(396\) −41.1904 20.1093i −2.06990 1.01053i
\(397\) 22.7545 16.5321i 1.14202 0.829724i 0.154618 0.987974i \(-0.450585\pi\)
0.987399 + 0.158251i \(0.0505855\pi\)
\(398\) −49.9688 10.6212i −2.50471 0.532393i
\(399\) 4.30533 2.38542i 0.215536 0.119420i
\(400\) −26.9407 72.7694i −1.34704 3.63847i
\(401\) −11.7822 20.4073i −0.588373 1.01909i −0.994446 0.105251i \(-0.966435\pi\)
0.406073 0.913841i \(-0.366898\pi\)
\(402\) −9.35649 + 40.4923i −0.466659 + 2.01957i
\(403\) 0.483921 + 4.60420i 0.0241058 + 0.229351i
\(404\) 29.8080 21.6568i 1.48300 1.07746i
\(405\) −3.18779 19.8705i −0.158403 0.987375i
\(406\) 7.48036 + 5.43480i 0.371244 + 0.269725i
\(407\) −5.82606 + 10.0910i −0.288787 + 0.500194i
\(408\) 41.4234 + 97.6391i 2.05077 + 4.83386i
\(409\) −10.2783 + 2.18473i −0.508231 + 0.108028i −0.454888 0.890548i \(-0.650321\pi\)
−0.0533426 + 0.998576i \(0.516988\pi\)
\(410\) 4.38562 22.8986i 0.216590 1.13088i
\(411\) 5.48908 + 5.12060i 0.270756 + 0.252581i
\(412\) −5.68821 6.31740i −0.280238 0.311236i
\(413\) −5.84587 + 17.9917i −0.287656 + 0.885315i
\(414\) 2.79966 2.89692i 0.137596 0.142376i
\(415\) 0.447647 + 1.91490i 0.0219741 + 0.0939985i
\(416\) −26.3045 29.2141i −1.28969 1.43234i
\(417\) −13.8877 + 18.4224i −0.680086 + 0.902147i
\(418\) −5.78446 10.0190i −0.282927 0.490045i
\(419\) −0.989526 + 9.41471i −0.0483415 + 0.459939i 0.943397 + 0.331665i \(0.107610\pi\)
−0.991739 + 0.128274i \(0.959056\pi\)
\(420\) −20.0315 34.4911i −0.977439 1.68299i
\(421\) 0.707686 + 6.73319i 0.0344905 + 0.328155i 0.998139 + 0.0609816i \(0.0194231\pi\)
−0.963648 + 0.267174i \(0.913910\pi\)
\(422\) −25.5577 + 18.5687i −1.24413 + 0.903912i
\(423\) 5.29893 + 18.5061i 0.257643 + 0.899799i
\(424\) 57.5737 2.79603
\(425\) 16.8982 + 26.7143i 0.819685 + 1.29583i
\(426\) −14.0953 + 7.80963i −0.682918 + 0.378378i
\(427\) 9.08481 10.0897i 0.439645 0.488275i
\(428\) −73.9207 32.9116i −3.57309 1.59084i
\(429\) −8.07370 + 0.704809i −0.389802 + 0.0340285i
\(430\) 39.3497 + 51.9208i 1.89761 + 2.50384i
\(431\) −20.0354 14.5565i −0.965069 0.701164i −0.0107465 0.999942i \(-0.503421\pi\)
−0.954322 + 0.298779i \(0.903421\pi\)
\(432\) −67.6057 43.9586i −3.25268 2.11496i
\(433\) 5.18591 + 3.76779i 0.249219 + 0.181068i 0.705381 0.708829i \(-0.250776\pi\)
−0.456162 + 0.889897i \(0.650776\pi\)
\(434\) 9.34827 + 10.3823i 0.448731 + 0.498367i
\(435\) 7.00732 0.0179646i 0.335975 0.000861339i
\(436\) 7.43096 8.25292i 0.355879 0.395243i
\(437\) 0.730416 0.155255i 0.0349405 0.00742684i
\(438\) −14.0735 72.4754i −0.672457 3.46301i
\(439\) 0.251052 + 0.0533628i 0.0119821 + 0.00254687i 0.213899 0.976856i \(-0.431384\pi\)
−0.201917 + 0.979403i \(0.564717\pi\)
\(440\) −51.2105 + 30.9626i −2.44136 + 1.47609i
\(441\) 6.80711 + 8.11867i 0.324148 + 0.386604i
\(442\) 23.7675 + 17.2681i 1.13050 + 0.821359i
\(443\) 7.32776 12.6920i 0.348152 0.603017i −0.637769 0.770228i \(-0.720143\pi\)
0.985921 + 0.167210i \(0.0534759\pi\)
\(444\) −24.3145 + 32.2536i −1.15391 + 1.53069i
\(445\) 10.8580 1.36356i 0.514720 0.0646390i
\(446\) 5.13223 + 2.28501i 0.243018 + 0.108199i
\(447\) 2.83528 + 4.05084i 0.134104 + 0.191598i
\(448\) −59.4974 12.6466i −2.81099 0.597494i
\(449\) 15.5412 0.733436 0.366718 0.930332i \(-0.380481\pi\)
0.366718 + 0.930332i \(0.380481\pi\)
\(450\) −37.6876 16.5486i −1.77661 0.780107i
\(451\) −10.4988 −0.494367
\(452\) 72.2266 + 15.3522i 3.39725 + 0.722108i
\(453\) −8.21974 + 17.6185i −0.386197 + 0.827791i
\(454\) −38.0974 16.9621i −1.78800 0.796069i
\(455\) −6.17740 3.40198i −0.289601 0.159487i
\(456\) −9.99782 23.5659i −0.468191 1.10357i
\(457\) 7.26861 12.5896i 0.340011 0.588916i −0.644423 0.764669i \(-0.722903\pi\)
0.984434 + 0.175752i \(0.0562358\pi\)
\(458\) −0.467100 0.339368i −0.0218262 0.0158576i
\(459\) 30.6617 + 11.7900i 1.43116 + 0.550310i
\(460\) −1.37747 5.89239i −0.0642248 0.274734i
\(461\) −3.21841 0.684094i −0.149896 0.0318614i 0.132352 0.991203i \(-0.457747\pi\)
−0.282249 + 0.959341i \(0.591080\pi\)
\(462\) −18.4609 + 16.0417i −0.858880 + 0.746326i
\(463\) 37.4109 7.95194i 1.73863 0.369558i 0.774007 0.633177i \(-0.218249\pi\)
0.964627 + 0.263619i \(0.0849161\pi\)
\(464\) 18.7884 20.8666i 0.872230 0.968709i
\(465\) 10.3621 + 2.17479i 0.480532 + 0.100853i
\(466\) −30.7943 34.2005i −1.42652 1.58431i
\(467\) 4.63677 + 3.36881i 0.214564 + 0.155890i 0.689876 0.723927i \(-0.257665\pi\)
−0.475312 + 0.879817i \(0.657665\pi\)
\(468\) −28.0762 0.991138i −1.29782 0.0458154i
\(469\) 13.1746 + 9.57189i 0.608345 + 0.441989i
\(470\) 37.6828 + 11.4074i 1.73818 + 0.526184i
\(471\) 14.3753 + 20.5384i 0.662380 + 0.946360i
\(472\) 89.8829 + 40.0184i 4.13720 + 1.84200i
\(473\) 19.6297 21.8010i 0.902576 1.00241i
\(474\) 1.07591 60.9743i 0.0494184 2.80064i
\(475\) −4.07850 6.44767i −0.187135 0.295840i
\(476\) 65.1078 2.98421
\(477\) 12.3921 12.8226i 0.567393 0.587105i
\(478\) −54.8185 + 39.8280i −2.50734 + 1.82169i
\(479\) 1.40830 + 13.3991i 0.0643469 + 0.612220i 0.978414 + 0.206656i \(0.0662581\pi\)
−0.914067 + 0.405564i \(0.867075\pi\)
\(480\) −82.0393 + 36.7786i −3.74457 + 1.67870i
\(481\) −0.746503 + 7.10250i −0.0340376 + 0.323846i
\(482\) −4.17490 7.23113i −0.190161 0.329369i
\(483\) −0.616535 1.45323i −0.0280533 0.0661244i
\(484\) −12.4537 13.8312i −0.566078 0.628693i
\(485\) 8.46139 + 0.716801i 0.384212 + 0.0325483i
\(486\) −41.6883 + 9.58275i −1.89102 + 0.434682i
\(487\) −8.88128 + 27.3338i −0.402449 + 1.23861i 0.520557 + 0.853827i \(0.325724\pi\)
−0.923006 + 0.384785i \(0.874276\pi\)
\(488\) −47.2494 52.4757i −2.13888 2.37547i
\(489\) −3.25774 + 14.0986i −0.147320 + 0.637560i
\(490\) 21.5006 2.70007i 0.971299 0.121977i
\(491\) −15.6203 + 3.32021i −0.704936 + 0.149839i −0.546412 0.837516i \(-0.684007\pi\)
−0.158524 + 0.987355i \(0.550673\pi\)
\(492\) −36.1215 4.44214i −1.62848 0.200267i
\(493\) −5.71920 + 9.90594i −0.257580 + 0.446141i
\(494\) −5.73644 4.16777i −0.258095 0.187517i
\(495\) −4.12657 + 18.0697i −0.185476 + 0.812173i
\(496\) 34.3236 24.9375i 1.54117 1.11973i
\(497\) 0.660016 + 6.27963i 0.0296058 + 0.281680i
\(498\) 3.99750 1.22133i 0.179132 0.0547290i
\(499\) 10.4973 + 18.1818i 0.469922 + 0.813929i 0.999409 0.0343894i \(-0.0109486\pi\)
−0.529486 + 0.848318i \(0.677615\pi\)
\(500\) −51.5711 + 34.0997i −2.30633 + 1.52498i
\(501\) 0.345717 19.5925i 0.0154455 0.875328i
\(502\) −66.9626 14.2333i −2.98869 0.635265i
\(503\) 3.48380 2.53113i 0.155335 0.112857i −0.507403 0.861709i \(-0.669394\pi\)
0.662738 + 0.748852i \(0.269394\pi\)
\(504\) −44.8762 + 30.2446i −1.99895 + 1.34720i
\(505\) −11.2711 9.74344i −0.501557 0.433577i
\(506\) −3.38966 + 1.50917i −0.150689 + 0.0670909i
\(507\) 15.3507 8.50522i 0.681749 0.377730i
\(508\) −2.98322 + 28.3835i −0.132359 + 1.25931i
\(509\) −41.2503 + 8.76803i −1.82839 + 0.388636i −0.988139 0.153562i \(-0.950925\pi\)
−0.840251 + 0.542198i \(0.817592\pi\)
\(510\) 54.2552 39.6316i 2.40246 1.75492i
\(511\) −28.2972 6.01476i −1.25180 0.266077i
\(512\) −18.4234 + 56.7015i −0.814209 + 2.50588i
\(513\) −7.40039 2.84559i −0.326735 0.125636i
\(514\) −3.65103 11.2367i −0.161040 0.495630i
\(515\) −1.96389 + 2.82123i −0.0865393 + 0.124318i
\(516\) 76.7613 66.7019i 3.37923 2.93639i
\(517\) 1.85321 17.6321i 0.0815040 0.775459i
\(518\) 10.7758 + 18.6642i 0.473460 + 0.820056i
\(519\) 10.9311 + 1.34428i 0.479823 + 0.0590075i
\(520\) −20.9548 + 30.1027i −0.918930 + 1.32009i
\(521\) −25.2789 + 18.3662i −1.10749 + 0.804637i −0.982266 0.187491i \(-0.939964\pi\)
−0.125222 + 0.992129i \(0.539964\pi\)
\(522\) −1.03332 14.8585i −0.0452273 0.650337i
\(523\) −11.4494 35.2378i −0.500649 1.54084i −0.807964 0.589232i \(-0.799430\pi\)
0.307314 0.951608i \(-0.400570\pi\)
\(524\) 33.0389 57.2251i 1.44331 2.49989i
\(525\) −11.7370 + 11.0622i −0.512245 + 0.482795i
\(526\) −17.5707 30.4334i −0.766120 1.32696i
\(527\) −11.5646 + 12.8438i −0.503763 + 0.559486i
\(528\) 42.5882 + 60.8469i 1.85341 + 2.64802i
\(529\) 2.37912 + 22.6358i 0.103440 + 0.984166i
\(530\) −8.30220 35.5143i −0.360625 1.54264i
\(531\) 28.2589 11.4048i 1.22633 0.494928i
\(532\) −15.7142 −0.681297
\(533\) −5.87841 + 2.61724i −0.254622 + 0.113365i
\(534\) −4.43394 22.8338i −0.191875 0.988117i
\(535\) −6.15475 + 32.1357i −0.266093 + 1.38935i
\(536\) 56.6722 62.9408i 2.44787 2.71863i
\(537\) −8.72809 + 7.58430i −0.376645 + 0.327287i
\(538\) 37.0834 + 41.1853i 1.59878 + 1.77563i
\(539\) −3.01535 9.28030i −0.129880 0.399731i
\(540\) −21.8432 + 60.4237i −0.939980 + 2.60022i
\(541\) −10.3961 + 31.9960i −0.446965 + 1.37562i 0.433350 + 0.901226i \(0.357332\pi\)
−0.880314 + 0.474391i \(0.842668\pi\)
\(542\) 19.8373 8.83215i 0.852087 0.379374i
\(543\) −10.7458 6.45949i −0.461145 0.277203i
\(544\) 15.3404 145.954i 0.657712 6.25771i
\(545\) −3.93358 2.16628i −0.168496 0.0927933i
\(546\) −6.33752 + 13.5841i −0.271221 + 0.581346i
\(547\) −0.581655 5.53408i −0.0248698 0.236620i −0.999895 0.0145239i \(-0.995377\pi\)
0.975025 0.222096i \(-0.0712899\pi\)
\(548\) −7.40596 22.7932i −0.316367 0.973678i
\(549\) −21.8570 0.771591i −0.932835 0.0329307i
\(550\) 26.4839 + 27.1243i 1.12928 + 1.15658i
\(551\) 1.38037 2.39086i 0.0588056 0.101854i
\(552\) −7.85193 + 2.39894i −0.334200 + 0.102106i
\(553\) −21.8301 9.71940i −0.928312 0.413311i
\(554\) −0.451293 0.200928i −0.0191736 0.00853663i
\(555\) 14.9379 + 6.60496i 0.634080 + 0.280365i
\(556\) 67.2883 29.9587i 2.85366 1.27053i
\(557\) 37.0966 1.57183 0.785917 0.618332i \(-0.212191\pi\)
0.785917 + 0.618332i \(0.212191\pi\)
\(558\) 3.14056 22.2847i 0.132950 0.943386i
\(559\) 5.55619 17.1002i 0.235002 0.723262i
\(560\) 1.30587 + 64.6148i 0.0551829 + 2.73048i
\(561\) −22.1234 20.6383i −0.934052 0.871350i
\(562\) −4.36716 + 0.928268i −0.184217 + 0.0391566i
\(563\) 20.9186 4.44638i 0.881612 0.187392i 0.255203 0.966887i \(-0.417858\pi\)
0.626408 + 0.779495i \(0.284524\pi\)
\(564\) 13.8364 59.8800i 0.582617 2.52140i
\(565\) −0.603315 29.8523i −0.0253817 1.25590i
\(566\) 3.10107 9.54412i 0.130348 0.401169i
\(567\) −2.92313 + 16.5044i −0.122760 + 0.693120i
\(568\) 32.8398 1.37793
\(569\) −13.8567 + 6.16939i −0.580902 + 0.258634i −0.676083 0.736826i \(-0.736324\pi\)
0.0951807 + 0.995460i \(0.469657\pi\)
\(570\) −13.0949 + 9.56536i −0.548483 + 0.400649i
\(571\) 34.7764 + 15.4834i 1.45535 + 0.647962i 0.973582 0.228339i \(-0.0733296\pi\)
0.481764 + 0.876301i \(0.339996\pi\)
\(572\) 23.6375 + 10.5241i 0.988333 + 0.440034i
\(573\) −1.43800 1.34147i −0.0600734 0.0560407i
\(574\) −9.70913 + 16.8167i −0.405251 + 0.701916i
\(575\) −2.19333 + 1.08475i −0.0914683 + 0.0452374i
\(576\) 45.9672 + 86.5312i 1.91530 + 3.60547i
\(577\) 2.27456 + 7.00039i 0.0946913 + 0.291430i 0.987173 0.159653i \(-0.0510377\pi\)
−0.892482 + 0.451083i \(0.851038\pi\)
\(578\) 6.58800 + 62.6806i 0.274025 + 2.60717i
\(579\) −3.05399 4.36331i −0.126919 0.181333i
\(580\) −19.5967 10.7922i −0.813710 0.448122i
\(581\) 0.171204 1.62889i 0.00710273 0.0675779i
\(582\) 0.318439 18.0466i 0.0131997 0.748055i
\(583\) −15.0036 + 6.68001i −0.621384 + 0.276658i
\(584\) −46.4946 + 143.096i −1.92396 + 5.92133i
\(585\) 2.19407 + 11.1462i 0.0907137 + 0.460839i
\(586\) 20.7590 + 63.8895i 0.857545 + 2.63925i
\(587\) −16.6264 18.4655i −0.686247 0.762154i 0.294877 0.955535i \(-0.404721\pi\)
−0.981124 + 0.193381i \(0.938055\pi\)
\(588\) −6.44787 33.2052i −0.265906 1.36936i
\(589\) 2.79120 3.09994i 0.115009 0.127731i
\(590\) 11.7241 61.2148i 0.482673 2.52017i
\(591\) −30.4774 + 26.4834i −1.25367 + 1.08938i
\(592\) 59.7891 26.6198i 2.45732 1.09407i
\(593\) 43.3690 1.78095 0.890476 0.455030i \(-0.150371\pi\)
0.890476 + 0.455030i \(0.150371\pi\)
\(594\) 38.9080 + 6.18519i 1.59642 + 0.253781i
\(595\) −5.99299 25.6362i −0.245688 1.05098i
\(596\) −1.65009 15.6995i −0.0675903 0.643079i
\(597\) 32.1229 2.80423i 1.31470 0.114770i
\(598\) −1.52170 + 1.69002i −0.0622268 + 0.0691099i
\(599\) −5.35663 9.27796i −0.218866 0.379087i 0.735596 0.677421i \(-0.236902\pi\)
−0.954462 + 0.298334i \(0.903569\pi\)
\(600\) 50.8378 + 66.7228i 2.07544 + 2.72395i
\(601\) 8.90717 15.4277i 0.363331 0.629308i −0.625176 0.780484i \(-0.714973\pi\)
0.988507 + 0.151176i \(0.0483060\pi\)
\(602\) −16.7671 51.6039i −0.683377 2.10322i
\(603\) −1.81991 26.1690i −0.0741125 1.06569i
\(604\) 50.2159 36.4840i 2.04325 1.48451i
\(605\) −4.29972 + 6.17677i −0.174808 + 0.251121i
\(606\) −19.0629 + 25.2873i −0.774378 + 1.02723i
\(607\) 21.1667 + 36.6618i 0.859129 + 1.48805i 0.872761 + 0.488148i \(0.162327\pi\)
−0.0136324 + 0.999907i \(0.504339\pi\)
\(608\) −3.70250 + 35.2269i −0.150156 + 1.42864i
\(609\) −5.51791 1.90114i −0.223597 0.0770382i
\(610\) −25.5562 + 36.7128i −1.03474 + 1.48646i
\(611\) −3.35787 10.3345i −0.135845 0.418087i
\(612\) −67.3845 80.3678i −2.72386 3.24868i
\(613\) 13.3402 41.0570i 0.538806 1.65828i −0.196471 0.980510i \(-0.562948\pi\)
0.735278 0.677766i \(-0.237052\pi\)
\(614\) 10.2249 + 2.17337i 0.412643 + 0.0877100i
\(615\) 1.57579 + 14.6317i 0.0635420 + 0.590007i
\(616\) 48.7527 10.3627i 1.96430 0.417525i
\(617\) 3.95649 37.6435i 0.159282 1.51547i −0.564496 0.825436i \(-0.690929\pi\)
0.723778 0.690033i \(-0.242404\pi\)
\(618\) 6.26214 + 3.76429i 0.251900 + 0.151422i
\(619\) −14.5465 + 6.47652i −0.584674 + 0.260313i −0.677686 0.735351i \(-0.737017\pi\)
0.0930123 + 0.995665i \(0.470350\pi\)
\(620\) −25.5727 22.1066i −1.02702 0.887824i
\(621\) −1.15575 + 2.26509i −0.0463787 + 0.0908949i
\(622\) −55.9743 + 40.6677i −2.24437 + 1.63063i
\(623\) −8.91523 1.89499i −0.357181 0.0759212i
\(624\) 39.0143 + 23.4523i 1.56182 + 0.938842i
\(625\) 18.1737 + 17.1673i 0.726948 + 0.686692i
\(626\) 35.5929 + 61.6488i 1.42258 + 2.46398i
\(627\) 5.33964 + 4.98119i 0.213245 + 0.198930i
\(628\) −8.36622 79.5993i −0.333849 3.17636i
\(629\) −21.5693 + 15.6710i −0.860024 + 0.624844i
\(630\) 25.1275 + 23.3205i 1.00110 + 0.929113i
\(631\) −11.5984 8.42673i −0.461725 0.335463i 0.332483 0.943109i \(-0.392114\pi\)
−0.794208 + 0.607647i \(0.792114\pi\)
\(632\) −62.1407 + 107.631i −2.47183 + 4.28133i
\(633\) 12.0034 15.9228i 0.477093 0.632873i
\(634\) −61.6249 + 13.0988i −2.44744 + 0.520219i
\(635\) 11.4506 1.43797i 0.454402 0.0570643i
\(636\) −54.4469 + 16.6347i −2.15896 + 0.659611i
\(637\) −4.00183 4.44448i −0.158558 0.176097i
\(638\) −4.23903 + 13.0464i −0.167825 + 0.516512i
\(639\) 7.06836 7.31393i 0.279620 0.289335i
\(640\) 96.2445 + 8.15328i 3.80440 + 0.322287i
\(641\) −15.0892 16.7583i −0.595989 0.661913i 0.367387 0.930068i \(-0.380253\pi\)
−0.963376 + 0.268156i \(0.913586\pi\)
\(642\) 69.0269 + 8.48877i 2.72428 + 0.335025i
\(643\) −21.0243 36.4152i −0.829119 1.43608i −0.898730 0.438502i \(-0.855509\pi\)
0.0696109 0.997574i \(-0.477824\pi\)
\(644\) −0.526817 + 5.01232i −0.0207595 + 0.197513i
\(645\) −33.3295 24.0850i −1.31235 0.948346i
\(646\) −2.76695 26.3257i −0.108864 1.03577i
\(647\) 9.23613 6.71044i 0.363110 0.263815i −0.391238 0.920289i \(-0.627953\pi\)
0.754348 + 0.656475i \(0.227953\pi\)
\(648\) 83.7788 + 24.0922i 3.29114 + 0.946431i
\(649\) −28.0664 −1.10170
\(650\) 21.5905 + 8.58511i 0.846850 + 0.336736i
\(651\) −7.55796 4.54324i −0.296220 0.178064i
\(652\) 30.9124 34.3317i 1.21062 1.34453i
\(653\) 7.83342 + 3.48766i 0.306545 + 0.136483i 0.554244 0.832354i \(-0.313008\pi\)
−0.247698 + 0.968837i \(0.579674\pi\)
\(654\) −4.03554 + 8.64994i −0.157802 + 0.338240i
\(655\) −25.5735 7.74166i −0.999239 0.302492i
\(656\) 47.7070 + 34.6612i 1.86265 + 1.35329i
\(657\) 21.8622 + 41.1546i 0.852927 + 1.60560i
\(658\) −26.5289 19.2744i −1.03421 0.751395i
\(659\) −20.3348 22.5840i −0.792130 0.879749i 0.202913 0.979197i \(-0.434959\pi\)
−0.995043 + 0.0994474i \(0.968293\pi\)
\(660\) 39.4832 44.0772i 1.53688 1.71570i
\(661\) −14.3063 + 15.8887i −0.556449 + 0.618000i −0.954082 0.299545i \(-0.903165\pi\)
0.397633 + 0.917545i \(0.369832\pi\)
\(662\) 16.5132 3.51000i 0.641805 0.136420i
\(663\) −17.5322 6.04054i −0.680893 0.234595i
\(664\) −8.33227 1.77108i −0.323355 0.0687312i
\(665\) 1.44645 + 6.18746i 0.0560908 + 0.239939i
\(666\) 11.8861 32.6182i 0.460578 1.26393i
\(667\) −0.716332 0.520446i −0.0277365 0.0201517i
\(668\) −31.2808 + 54.1799i −1.21029 + 2.09628i
\(669\) −3.51953 0.432823i −0.136073 0.0167339i
\(670\) −46.9972 25.8820i −1.81566 0.999909i
\(671\) 18.4016 + 8.19290i 0.710384 + 0.316284i
\(672\) 74.5968 6.51208i 2.87764 0.251209i
\(673\) −21.8048 4.63475i −0.840513 0.178657i −0.232513 0.972593i \(-0.574695\pi\)
−0.608000 + 0.793937i \(0.708028\pi\)
\(674\) 41.3282 1.59190
\(675\) 25.8024 + 3.03891i 0.993136 + 0.116968i
\(676\) −56.0291 −2.15497
\(677\) 30.7046 + 6.52646i 1.18007 + 0.250832i 0.755862 0.654731i \(-0.227218\pi\)
0.424211 + 0.905563i \(0.360551\pi\)
\(678\) −63.2246 + 5.51931i −2.42813 + 0.211968i
\(679\) −6.46107 2.87665i −0.247953 0.110396i
\(680\) −135.859 + 17.0613i −5.20996 + 0.654273i
\(681\) 26.1261 + 3.21292i 1.00115 + 0.123120i
\(682\) −10.3636 + 17.9503i −0.396842 + 0.687351i
\(683\) −41.1891 29.9257i −1.57606 1.14507i −0.921045 0.389457i \(-0.872663\pi\)
−0.655014 0.755617i \(-0.727337\pi\)
\(684\) 16.2637 + 19.3973i 0.621858 + 0.741674i
\(685\) −8.29312 + 5.01414i −0.316864 + 0.191581i
\(686\) −52.6448 11.1900i −2.00999 0.427236i
\(687\) 0.344558 + 0.118714i 0.0131457 + 0.00452923i
\(688\) −161.174 + 34.2586i −6.14470 + 1.30610i
\(689\) −6.73545 + 7.48047i −0.256600 + 0.284983i
\(690\) 2.61204 + 4.49752i 0.0994387 + 0.171218i
\(691\) −4.76023 5.28677i −0.181088 0.201118i 0.645766 0.763535i \(-0.276538\pi\)
−0.826854 + 0.562417i \(0.809872\pi\)
\(692\) −28.4467 20.6678i −1.08138 0.785670i
\(693\) 8.18548 13.0884i 0.310941 0.497188i
\(694\) −37.3577 27.1420i −1.41808 1.03029i
\(695\) −17.9899 23.7371i −0.682397 0.900401i
\(696\) −12.8333 + 27.5075i −0.486445 + 1.04267i
\(697\) −21.9453 9.77066i −0.831236 0.370090i
\(698\) −28.4770 + 31.6269i −1.07787 + 1.19710i
\(699\) 24.8968 + 14.9659i 0.941683 + 0.566064i
\(700\) 49.8938 12.7322i 1.88581 0.481232i
\(701\) −42.2657 −1.59635 −0.798177 0.602423i \(-0.794202\pi\)
−0.798177 + 0.602423i \(0.794202\pi\)
\(702\) 23.3271 6.23620i 0.880424 0.235370i
\(703\) 5.20589 3.78230i 0.196344 0.142652i
\(704\) −9.43295 89.7486i −0.355518 3.38253i
\(705\) −24.8513 + 0.0637112i −0.935955 + 0.00239950i
\(706\) 2.69516 25.6428i 0.101434 0.965079i
\(707\) 6.20438 + 10.7463i 0.233340 + 0.404156i
\(708\) −96.5638 11.8752i −3.62909 0.446297i
\(709\) 6.41778 + 7.12767i 0.241025 + 0.267685i 0.851505 0.524346i \(-0.175690\pi\)
−0.610480 + 0.792031i \(0.709024\pi\)
\(710\) −4.73553 20.2572i −0.177721 0.760238i
\(711\) 10.5961 + 37.0060i 0.397383 + 1.38783i
\(712\) −14.6484 + 45.0832i −0.548973 + 1.68956i
\(713\) −0.895207 0.994228i −0.0335258 0.0372341i
\(714\) −53.5176 + 16.3508i −2.00284 + 0.611914i
\(715\) 1.96809 10.2760i 0.0736025 0.384299i
\(716\) 36.1096 7.67533i 1.34948 0.286840i
\(717\) 25.7460 34.1526i 0.961503 1.27545i
\(718\) −10.9842 + 19.0252i −0.409927 + 0.710014i
\(719\) −35.1893 25.5666i −1.31234 0.953472i −0.999994 0.00350360i \(-0.998885\pi\)
−0.312347 0.949968i \(-0.601115\pi\)
\(720\) 78.4078 68.4863i 2.92209 2.55233i
\(721\) 2.31620 1.68282i 0.0862598 0.0626714i
\(722\) −4.78198 45.4975i −0.177967 1.69324i
\(723\) 3.85385 + 3.59514i 0.143326 + 0.133705i
\(724\) 20.0144 + 34.6659i 0.743828 + 1.28835i
\(725\) −2.44560 + 8.70960i −0.0908274 + 0.323466i
\(726\) 13.7103 + 8.24151i 0.508836 + 0.305871i
\(727\) 25.6825 + 5.45899i 0.952511 + 0.202463i 0.657858 0.753142i \(-0.271463\pi\)
0.294653 + 0.955604i \(0.404796\pi\)
\(728\) 24.7140 17.9558i 0.915962 0.665486i
\(729\) 23.3981 13.4733i 0.866596 0.499011i
\(730\) 94.9728 + 8.04556i 3.51510 + 0.297779i
\(731\) 61.3206 27.3017i 2.26802 1.00979i
\(732\) 59.8450 + 35.9740i 2.21193 + 1.32964i
\(733\) −5.43558 + 51.7161i −0.200768 + 1.91018i 0.176885 + 0.984231i \(0.443398\pi\)
−0.377653 + 0.925947i \(0.623269\pi\)
\(734\) 70.8836 15.0668i 2.61636 0.556124i
\(735\) −12.4810 + 5.59529i −0.460369 + 0.206385i
\(736\) 11.1121 + 2.36196i 0.409598 + 0.0870628i
\(737\) −7.46588 + 22.9776i −0.275009 + 0.846391i
\(738\) 30.8069 5.42000i 1.13402 0.199513i
\(739\) −7.71260 23.7369i −0.283712 0.873177i −0.986782 0.162056i \(-0.948188\pi\)
0.703069 0.711121i \(-0.251812\pi\)
\(740\) −31.4965 41.5587i −1.15783 1.52773i
\(741\) 4.23150 + 1.45792i 0.155448 + 0.0535582i
\(742\) −3.17520 + 30.2100i −0.116565 + 1.10904i
\(743\) −0.897873 1.55516i −0.0329398 0.0570534i 0.849086 0.528255i \(-0.177154\pi\)
−0.882025 + 0.471202i \(0.843820\pi\)
\(744\) −27.6084 + 36.6231i −1.01217 + 1.34267i
\(745\) −6.02980 + 2.09482i −0.220915 + 0.0767483i
\(746\) −46.1153 + 33.5047i −1.68840 + 1.22669i
\(747\) −2.18787 + 1.47452i −0.0800498 + 0.0539500i
\(748\) 29.8493 + 91.8668i 1.09140 + 3.35898i
\(749\) 13.6257 23.6005i 0.497873 0.862342i
\(750\) 33.8270 40.9807i 1.23519 1.49640i
\(751\) 9.00025 + 15.5889i 0.328424 + 0.568846i 0.982199 0.187842i \(-0.0601493\pi\)
−0.653776 + 0.756688i \(0.726816\pi\)
\(752\) −66.6327 + 74.0031i −2.42984 + 2.69862i
\(753\) 43.0475 3.75791i 1.56874 0.136946i
\(754\) 0.878842 + 8.36162i 0.0320055 + 0.304512i
\(755\) −18.9878 16.4142i −0.691036 0.597375i
\(756\) 33.7004 41.5680i 1.22567 1.51181i
\(757\) −9.03751 −0.328474 −0.164237 0.986421i \(-0.552516\pi\)
−0.164237 + 0.986421i \(0.552516\pi\)
\(758\) 48.0465 21.3917i 1.74513 0.776981i
\(759\) 1.76785 1.53618i 0.0641689 0.0557598i
\(760\) 32.7905 4.11787i 1.18944 0.149371i
\(761\) 26.4976 29.4286i 0.960539 1.06679i −0.0371821 0.999309i \(-0.511838\pi\)
0.997721 0.0674778i \(-0.0214952\pi\)
\(762\) −4.67591 24.0799i −0.169390 0.872324i
\(763\) 2.50264 + 2.77947i 0.0906017 + 0.100623i
\(764\) 1.94018 + 5.97126i 0.0701932 + 0.216032i
\(765\) −25.4422 + 33.9302i −0.919866 + 1.22675i
\(766\) 20.4928 63.0704i 0.740435 2.27883i
\(767\) −15.7148 + 6.99667i −0.567428 + 0.252635i
\(768\) 1.62599 92.1484i 0.0586730 3.32512i
\(769\) −3.52699 + 33.5571i −0.127187 + 1.21010i 0.725703 + 0.688008i \(0.241515\pi\)
−0.852890 + 0.522091i \(0.825152\pi\)
\(770\) −13.4224 28.5787i −0.483710 1.02990i
\(771\) 4.27636