Properties

Label 403.2.bl.b.16.12
Level 403
Weight 2
Character 403.16
Analytic conductor 3.218
Analytic rank 0
Dimension 280
CM No

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Newspace parameters

Level: \( N \) = \( 403 = 13 \cdot 31 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 403.bl (of order \(15\) and degree \(8\))

Newform invariants

Self dual: No
Analytic conductor: \(3.21797120146\)
Analytic rank: \(0\)
Dimension: \(280\)
Relative dimension: \(35\) over \(\Q(\zeta_{15})\)
Sato-Tate group: $\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label 16.12
Character \(\chi\) = 403.16
Dual form 403.2.bl.b.126.12

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.17029 - 0.521045i) q^{2} +(-0.352762 + 3.35630i) q^{3} +(-0.240178 - 0.266745i) q^{4} -1.20807 q^{5} +(2.16162 - 3.74403i) q^{6} +(1.07211 + 1.19070i) q^{7} +(0.933816 + 2.87399i) q^{8} +(-8.20588 - 1.74421i) q^{9} +O(q^{10})\) \(q+(-1.17029 - 0.521045i) q^{2} +(-0.352762 + 3.35630i) q^{3} +(-0.240178 - 0.266745i) q^{4} -1.20807 q^{5} +(2.16162 - 3.74403i) q^{6} +(1.07211 + 1.19070i) q^{7} +(0.933816 + 2.87399i) q^{8} +(-8.20588 - 1.74421i) q^{9} +(1.41379 + 0.629461i) q^{10} +(-1.85499 + 0.394290i) q^{11} +(0.980002 - 0.712013i) q^{12} +(-3.57542 - 0.465174i) q^{13} +(-0.634268 - 1.95208i) q^{14} +(0.426162 - 4.05466i) q^{15} +(0.329608 - 3.13601i) q^{16} +(5.35199 + 1.13760i) q^{17} +(8.69442 + 6.31687i) q^{18} +(-0.302116 - 2.87444i) q^{19} +(0.290153 + 0.322247i) q^{20} +(-4.37455 + 3.17829i) q^{21} +(2.37631 + 0.505100i) q^{22} +(-0.225642 + 0.250601i) q^{23} +(-9.97540 + 2.12034i) q^{24} -3.54056 q^{25} +(3.94189 + 2.40734i) q^{26} +(5.62023 - 17.2973i) q^{27} +(0.0601154 - 0.571960i) q^{28} +(3.20062 + 1.42501i) q^{29} +(-2.61139 + 4.52307i) q^{30} +(-3.49400 - 4.33497i) q^{31} +(1.00216 - 1.73579i) q^{32} +(-0.668987 - 6.36499i) q^{33} +(-5.67062 - 4.11994i) q^{34} +(-1.29519 - 1.43845i) q^{35} +(1.50561 + 2.60780i) q^{36} +(-1.25817 - 2.17921i) q^{37} +(-1.14415 + 3.52134i) q^{38} +(2.82253 - 11.8361i) q^{39} +(-1.12812 - 3.47199i) q^{40} +(-4.14408 - 1.84506i) q^{41} +(6.77551 - 1.44018i) q^{42} +(-0.599654 - 5.70533i) q^{43} +(0.550702 + 0.400108i) q^{44} +(9.91331 + 2.10714i) q^{45} +(0.394641 - 0.175705i) q^{46} +(-5.94989 - 4.32285i) q^{47} +(10.4091 + 2.21253i) q^{48} +(0.463355 - 4.40853i) q^{49} +(4.14347 + 1.84479i) q^{50} +(-5.70610 + 17.5616i) q^{51} +(0.734654 + 1.06545i) q^{52} +(3.36875 + 10.3679i) q^{53} +(-15.5900 + 17.3144i) q^{54} +(2.24096 - 0.476331i) q^{55} +(-2.42090 + 4.19313i) q^{56} +9.75407 q^{57} +(-3.00315 - 3.33534i) q^{58} +(-5.64681 + 2.51412i) q^{59} +(-1.18391 + 0.860164i) q^{60} +(-5.14658 + 8.91413i) q^{61} +(1.83026 + 6.89369i) q^{62} +(-6.72078 - 11.6407i) q^{63} +(-7.17935 + 5.21610i) q^{64} +(4.31937 + 0.561964i) q^{65} +(-2.53354 + 7.79744i) q^{66} +(0.481780 + 0.834468i) q^{67} +(-0.981981 - 1.70084i) q^{68} +(-0.761495 - 0.845726i) q^{69} +(0.766243 + 2.35825i) q^{70} +(1.59491 + 0.339008i) q^{71} +(-2.64993 - 25.2124i) q^{72} +(-5.25474 + 16.1724i) q^{73} +(0.336950 + 3.20586i) q^{74} +(1.24897 - 11.8832i) q^{75} +(-0.694180 + 0.770965i) q^{76} +(-2.45823 - 1.78601i) q^{77} +(-9.47031 + 12.3810i) q^{78} +(0.761168 + 2.34263i) q^{79} +(-0.398190 + 3.78853i) q^{80} +(33.0806 + 14.7284i) q^{81} +(3.88840 + 4.31851i) q^{82} +(2.98476 - 2.16855i) q^{83} +(1.89846 + 0.403531i) q^{84} +(-6.46559 - 1.37430i) q^{85} +(-2.27097 + 6.98931i) q^{86} +(-5.91182 + 10.2396i) q^{87} +(-2.86540 - 4.96302i) q^{88} +(8.27615 - 1.75915i) q^{89} +(-10.5035 - 7.63124i) q^{90} +(-3.27936 - 4.75596i) q^{91} +0.121041 q^{92} +(15.7820 - 10.1977i) q^{93} +(4.71068 + 8.15913i) q^{94} +(0.364978 + 3.47253i) q^{95} +(5.47230 + 3.97586i) q^{96} +(-3.93573 - 4.37107i) q^{97} +(-2.83930 + 4.91782i) q^{98} +15.9095 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 280q + q^{2} + 39q^{4} - 8q^{5} - 2q^{7} + 12q^{8} + 29q^{9} + O(q^{10}) \) \( 280q + q^{2} + 39q^{4} - 8q^{5} - 2q^{7} + 12q^{8} + 29q^{9} - 21q^{10} - q^{11} - 16q^{12} - 54q^{14} - 27q^{15} + 31q^{16} + 2q^{17} - 10q^{18} + 5q^{19} - 3q^{20} + 68q^{21} - 39q^{22} - 7q^{23} + 48q^{24} + 200q^{25} + 6q^{26} - 78q^{27} + 30q^{28} - 16q^{29} - 66q^{30} - 62q^{31} - 56q^{32} - 20q^{33} - 126q^{34} - 37q^{35} - 140q^{36} - 36q^{37} + 4q^{38} + 28q^{39} - 158q^{40} - 4q^{41} + 16q^{42} - 16q^{43} + 42q^{44} - 46q^{45} - 29q^{46} + 8q^{47} - 36q^{48} + 43q^{49} - 5q^{50} - 134q^{51} - q^{52} + 8q^{53} + 44q^{54} - 55q^{55} - 42q^{56} + 140q^{57} + 38q^{58} - 23q^{59} + 38q^{60} + 40q^{61} + 19q^{62} - 146q^{63} - 68q^{64} + 2q^{65} + 6q^{66} + 46q^{67} + 86q^{68} - 32q^{69} - 4q^{70} + 60q^{71} + 73q^{72} - 12q^{73} - 44q^{74} + 16q^{75} - 70q^{76} + 10q^{77} - 142q^{78} + 134q^{79} - 72q^{80} - 18q^{81} + 28q^{82} - 88q^{83} + 81q^{84} - 69q^{85} + 188q^{86} - 28q^{87} + 42q^{88} + 12q^{89} + 22q^{90} + 67q^{91} - 324q^{92} - 25q^{93} - 62q^{94} + 16q^{95} + 276q^{96} + 16q^{97} + 76q^{98} - 60q^{99} + O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).

\(n\) \(249\) \(313\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{1}{5}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.17029 0.521045i −0.827518 0.368435i −0.0511314 0.998692i \(-0.516283\pi\)
−0.776386 + 0.630257i \(0.782949\pi\)
\(3\) −0.352762 + 3.35630i −0.203667 + 1.93776i 0.122539 + 0.992464i \(0.460896\pi\)
−0.326206 + 0.945299i \(0.605770\pi\)
\(4\) −0.240178 0.266745i −0.120089 0.133372i
\(5\) −1.20807 −0.540267 −0.270133 0.962823i \(-0.587068\pi\)
−0.270133 + 0.962823i \(0.587068\pi\)
\(6\) 2.16162 3.74403i 0.882477 1.52849i
\(7\) 1.07211 + 1.19070i 0.405220 + 0.450042i 0.910868 0.412698i \(-0.135413\pi\)
−0.505648 + 0.862740i \(0.668747\pi\)
\(8\) 0.933816 + 2.87399i 0.330154 + 1.01611i
\(9\) −8.20588 1.74421i −2.73529 0.581405i
\(10\) 1.41379 + 0.629461i 0.447080 + 0.199053i
\(11\) −1.85499 + 0.394290i −0.559300 + 0.118883i −0.478883 0.877879i \(-0.658958\pi\)
−0.0804164 + 0.996761i \(0.525625\pi\)
\(12\) 0.980002 0.712013i 0.282902 0.205540i
\(13\) −3.57542 0.465174i −0.991643 0.129016i
\(14\) −0.634268 1.95208i −0.169515 0.521715i
\(15\) 0.426162 4.05466i 0.110035 1.04691i
\(16\) 0.329608 3.13601i 0.0824019 0.784002i
\(17\) 5.35199 + 1.13760i 1.29805 + 0.275908i 0.804574 0.593853i \(-0.202394\pi\)
0.493473 + 0.869761i \(0.335727\pi\)
\(18\) 8.69442 + 6.31687i 2.04930 + 1.48890i
\(19\) −0.302116 2.87444i −0.0693101 0.659442i −0.972929 0.231104i \(-0.925766\pi\)
0.903619 0.428337i \(-0.140901\pi\)
\(20\) 0.290153 + 0.322247i 0.0648801 + 0.0720567i
\(21\) −4.37455 + 3.17829i −0.954604 + 0.693560i
\(22\) 2.37631 + 0.505100i 0.506631 + 0.107688i
\(23\) −0.225642 + 0.250601i −0.0470497 + 0.0522539i −0.766210 0.642590i \(-0.777860\pi\)
0.719161 + 0.694844i \(0.244527\pi\)
\(24\) −9.97540 + 2.12034i −2.03622 + 0.432812i
\(25\) −3.54056 −0.708112
\(26\) 3.94189 + 2.40734i 0.773068 + 0.472118i
\(27\) 5.62023 17.2973i 1.08161 3.32886i
\(28\) 0.0601154 0.571960i 0.0113607 0.108090i
\(29\) 3.20062 + 1.42501i 0.594341 + 0.264618i 0.681786 0.731552i \(-0.261204\pi\)
−0.0874451 + 0.996169i \(0.527870\pi\)
\(30\) −2.61139 + 4.52307i −0.476773 + 0.825795i
\(31\) −3.49400 4.33497i −0.627540 0.778584i
\(32\) 1.00216 1.73579i 0.177158 0.306847i
\(33\) −0.668987 6.36499i −0.116456 1.10800i
\(34\) −5.67062 4.11994i −0.972503 0.706565i
\(35\) −1.29519 1.43845i −0.218927 0.243143i
\(36\) 1.50561 + 2.60780i 0.250936 + 0.434633i
\(37\) −1.25817 2.17921i −0.206842 0.358260i 0.743876 0.668317i \(-0.232985\pi\)
−0.950718 + 0.310057i \(0.899652\pi\)
\(38\) −1.14415 + 3.52134i −0.185606 + 0.571236i
\(39\) 2.82253 11.8361i 0.451967 1.89529i
\(40\) −1.12812 3.47199i −0.178371 0.548970i
\(41\) −4.14408 1.84506i −0.647197 0.288151i 0.0567660 0.998388i \(-0.481921\pi\)
−0.703963 + 0.710237i \(0.748588\pi\)
\(42\) 6.77551 1.44018i 1.04548 0.222224i
\(43\) −0.599654 5.70533i −0.0914464 0.870054i −0.940053 0.341029i \(-0.889225\pi\)
0.848606 0.529025i \(-0.177442\pi\)
\(44\) 0.550702 + 0.400108i 0.0830215 + 0.0603186i
\(45\) 9.91331 + 2.10714i 1.47779 + 0.314114i
\(46\) 0.394641 0.175705i 0.0581866 0.0259063i
\(47\) −5.94989 4.32285i −0.867881 0.630552i 0.0621368 0.998068i \(-0.480209\pi\)
−0.930017 + 0.367515i \(0.880209\pi\)
\(48\) 10.4091 + 2.21253i 1.50243 + 0.319351i
\(49\) 0.463355 4.40853i 0.0661936 0.629790i
\(50\) 4.14347 + 1.84479i 0.585975 + 0.260893i
\(51\) −5.70610 + 17.5616i −0.799014 + 2.45911i
\(52\) 0.734654 + 1.06545i 0.101878 + 0.147751i
\(53\) 3.36875 + 10.3679i 0.462733 + 1.42415i 0.861811 + 0.507230i \(0.169330\pi\)
−0.399078 + 0.916917i \(0.630670\pi\)
\(54\) −15.5900 + 17.3144i −2.12152 + 2.35619i
\(55\) 2.24096 0.476331i 0.302171 0.0642284i
\(56\) −2.42090 + 4.19313i −0.323507 + 0.560331i
\(57\) 9.75407 1.29196
\(58\) −3.00315 3.33534i −0.394333 0.437952i
\(59\) −5.64681 + 2.51412i −0.735152 + 0.327311i −0.739936 0.672678i \(-0.765144\pi\)
0.00478323 + 0.999989i \(0.498477\pi\)
\(60\) −1.18391 + 0.860164i −0.152843 + 0.111047i
\(61\) −5.14658 + 8.91413i −0.658952 + 1.14134i 0.321936 + 0.946762i \(0.395667\pi\)
−0.980887 + 0.194576i \(0.937667\pi\)
\(62\) 1.83026 + 6.89369i 0.232443 + 0.875500i
\(63\) −6.72078 11.6407i −0.846738 1.46659i
\(64\) −7.17935 + 5.21610i −0.897419 + 0.652013i
\(65\) 4.31937 + 0.561964i 0.535752 + 0.0697030i
\(66\) −2.53354 + 7.79744i −0.311857 + 0.959798i
\(67\) 0.481780 + 0.834468i 0.0588588 + 0.101946i 0.893953 0.448160i \(-0.147920\pi\)
−0.835095 + 0.550106i \(0.814587\pi\)
\(68\) −0.981981 1.70084i −0.119083 0.206257i
\(69\) −0.761495 0.845726i −0.0916732 0.101813i
\(70\) 0.766243 + 2.35825i 0.0915835 + 0.281865i
\(71\) 1.59491 + 0.339008i 0.189281 + 0.0402328i 0.301576 0.953442i \(-0.402487\pi\)
−0.112296 + 0.993675i \(0.535820\pi\)
\(72\) −2.64993 25.2124i −0.312297 2.97131i
\(73\) −5.25474 + 16.1724i −0.615021 + 1.89284i −0.213720 + 0.976895i \(0.568558\pi\)
−0.401302 + 0.915946i \(0.631442\pi\)
\(74\) 0.336950 + 3.20586i 0.0391696 + 0.372674i
\(75\) 1.24897 11.8832i 0.144219 1.37215i
\(76\) −0.694180 + 0.770965i −0.0796279 + 0.0884358i
\(77\) −2.45823 1.78601i −0.280141 0.203535i
\(78\) −9.47031 + 12.3810i −1.07230 + 1.40187i
\(79\) 0.761168 + 2.34263i 0.0856380 + 0.263567i 0.984701 0.174253i \(-0.0557509\pi\)
−0.899063 + 0.437819i \(0.855751\pi\)
\(80\) −0.398190 + 3.78853i −0.0445190 + 0.423570i
\(81\) 33.0806 + 14.7284i 3.67562 + 1.63649i
\(82\) 3.88840 + 4.31851i 0.429402 + 0.476899i
\(83\) 2.98476 2.16855i 0.327620 0.238030i −0.411800 0.911274i \(-0.635100\pi\)
0.739420 + 0.673245i \(0.235100\pi\)
\(84\) 1.89846 + 0.403531i 0.207139 + 0.0440288i
\(85\) −6.46559 1.37430i −0.701292 0.149064i
\(86\) −2.27097 + 6.98931i −0.244885 + 0.753677i
\(87\) −5.91182 + 10.2396i −0.633814 + 1.09780i
\(88\) −2.86540 4.96302i −0.305453 0.529060i
\(89\) 8.27615 1.75915i 0.877270 0.186470i 0.252800 0.967518i \(-0.418648\pi\)
0.624470 + 0.781049i \(0.285315\pi\)
\(90\) −10.5035 7.63124i −1.10717 0.804403i
\(91\) −3.27936 4.75596i −0.343770 0.498561i
\(92\) 0.121041 0.0126194
\(93\) 15.7820 10.1977i 1.63652 1.05745i
\(94\) 4.71068 + 8.15913i 0.485869 + 0.841550i
\(95\) 0.364978 + 3.47253i 0.0374460 + 0.356275i
\(96\) 5.47230 + 3.97586i 0.558514 + 0.405784i
\(97\) −3.93573 4.37107i −0.399613 0.443815i 0.509434 0.860510i \(-0.329855\pi\)
−0.909046 + 0.416695i \(0.863188\pi\)
\(98\) −2.83930 + 4.91782i −0.286813 + 0.496775i
\(99\) 15.9095 1.59897
\(100\) 0.850365 + 0.944426i 0.0850365 + 0.0944426i
\(101\) −9.55198 + 10.6085i −0.950458 + 1.05559i 0.0479315 + 0.998851i \(0.484737\pi\)
−0.998389 + 0.0567394i \(0.981930\pi\)
\(102\) 15.8282 17.5789i 1.56722 1.74058i
\(103\) 0.0337313 0.0245073i 0.00332365 0.00241477i −0.586122 0.810223i \(-0.699346\pi\)
0.589446 + 0.807808i \(0.299346\pi\)
\(104\) −2.00188 10.7101i −0.196300 1.05021i
\(105\) 5.28477 3.83961i 0.515741 0.374708i
\(106\) 1.45977 13.8887i 0.141785 1.34899i
\(107\) −10.6014 + 11.7740i −1.02487 + 1.13824i −0.0345582 + 0.999403i \(0.511002\pi\)
−0.990316 + 0.138835i \(0.955664\pi\)
\(108\) −5.96382 + 2.65526i −0.573869 + 0.255503i
\(109\) −13.6867 9.94394i −1.31094 0.952457i −0.999998 0.00202921i \(-0.999354\pi\)
−0.310946 0.950427i \(-0.600646\pi\)
\(110\) −2.87076 0.610198i −0.273716 0.0581801i
\(111\) 7.75793 3.45405i 0.736350 0.327844i
\(112\) 4.08742 2.96968i 0.386224 0.280609i
\(113\) −1.78633 1.98392i −0.168043 0.186631i 0.653241 0.757150i \(-0.273409\pi\)
−0.821285 + 0.570519i \(0.806742\pi\)
\(114\) −11.4151 5.08231i −1.06912 0.476002i
\(115\) 0.272592 0.302744i 0.0254194 0.0282311i
\(116\) −0.388606 1.19601i −0.0360811 0.111046i
\(117\) 28.5281 + 10.0535i 2.63742 + 0.929442i
\(118\) 7.91836 0.728944
\(119\) 4.38338 + 7.59224i 0.401824 + 0.695979i
\(120\) 12.0510 2.56152i 1.10010 0.233834i
\(121\) −6.76349 + 3.01130i −0.614862 + 0.273754i
\(122\) 10.6676 7.75049i 0.965803 0.701697i
\(123\) 7.65446 13.2579i 0.690180 1.19543i
\(124\) −0.317150 + 1.97317i −0.0284809 + 0.177196i
\(125\) 10.3176 0.922836
\(126\) 1.79989 + 17.1248i 0.160347 + 1.52560i
\(127\) 0.251783 2.39555i 0.0223421 0.212571i −0.977655 0.210215i \(-0.932584\pi\)
0.999997 0.00235560i \(-0.000749812\pi\)
\(128\) 7.19869 1.53013i 0.636281 0.135246i
\(129\) 19.3603 1.70458
\(130\) −4.76209 2.90824i −0.417663 0.255070i
\(131\) −4.22924 + 13.0163i −0.369510 + 1.13724i 0.577598 + 0.816321i \(0.303990\pi\)
−0.947108 + 0.320914i \(0.896010\pi\)
\(132\) −1.53715 + 1.70718i −0.133792 + 0.148591i
\(133\) 3.09869 3.44145i 0.268691 0.298411i
\(134\) −0.129026 1.22760i −0.0111461 0.106048i
\(135\) −6.78965 + 20.8964i −0.584360 + 1.79848i
\(136\) 1.72832 + 16.4439i 0.148202 + 1.41005i
\(137\) −13.6199 + 6.06395i −1.16362 + 0.518079i −0.895393 0.445276i \(-0.853105\pi\)
−0.268230 + 0.963355i \(0.586439\pi\)
\(138\) 0.450506 + 1.38652i 0.0383496 + 0.118028i
\(139\) −5.67373 + 2.52611i −0.481239 + 0.214262i −0.632994 0.774157i \(-0.718174\pi\)
0.151755 + 0.988418i \(0.451508\pi\)
\(140\) −0.0726238 + 0.690969i −0.00613783 + 0.0583976i
\(141\) 16.6077 18.4447i 1.39862 1.55332i
\(142\) −1.68986 1.22775i −0.141810 0.103031i
\(143\) 6.81577 0.546859i 0.569963 0.0457307i
\(144\) −8.17459 + 25.1588i −0.681216 + 2.09657i
\(145\) −3.86659 1.72152i −0.321103 0.142964i
\(146\) 14.5761 16.1884i 1.20633 1.33976i
\(147\) 14.6329 + 3.11032i 1.20690 + 0.256535i
\(148\) −0.279109 + 0.859009i −0.0229426 + 0.0706101i
\(149\) 4.11298 7.12389i 0.336948 0.583611i −0.646909 0.762567i \(-0.723939\pi\)
0.983857 + 0.178956i \(0.0572719\pi\)
\(150\) −7.65334 + 13.2560i −0.624892 + 1.08235i
\(151\) 4.73240 14.5648i 0.385117 1.18527i −0.551279 0.834321i \(-0.685860\pi\)
0.936395 0.350947i \(-0.114140\pi\)
\(152\) 7.97900 3.55248i 0.647182 0.288144i
\(153\) −41.9336 18.6700i −3.39013 1.50938i
\(154\) 1.94624 + 3.37099i 0.156833 + 0.271642i
\(155\) 4.22100 + 5.23697i 0.339039 + 0.420643i
\(156\) −3.83513 + 2.08987i −0.307056 + 0.167324i
\(157\) 15.3108 11.1239i 1.22193 0.887786i 0.225674 0.974203i \(-0.427542\pi\)
0.996259 + 0.0864170i \(0.0275417\pi\)
\(158\) 0.329833 3.13816i 0.0262401 0.249658i
\(159\) −35.9863 + 7.64913i −2.85390 + 0.606615i
\(160\) −1.21068 + 2.09696i −0.0957126 + 0.165779i
\(161\) −0.540304 −0.0425819
\(162\) −31.0396 34.4729i −2.43870 2.70845i
\(163\) −10.3515 2.20029i −0.810795 0.172340i −0.216183 0.976353i \(-0.569361\pi\)
−0.594612 + 0.804013i \(0.702694\pi\)
\(164\) 0.503156 + 1.54856i 0.0392899 + 0.120922i
\(165\) 0.808186 + 7.68937i 0.0629172 + 0.598617i
\(166\) −4.62293 + 0.982635i −0.358809 + 0.0762673i
\(167\) −14.5995 6.50014i −1.12975 0.502996i −0.245212 0.969469i \(-0.578858\pi\)
−0.884535 + 0.466474i \(0.845524\pi\)
\(168\) −13.2194 9.60446i −1.01990 0.741001i
\(169\) 12.5672 + 3.32638i 0.966710 + 0.255875i
\(170\) 6.85052 + 4.97720i 0.525411 + 0.381733i
\(171\) −2.53451 + 24.1143i −0.193819 + 1.84406i
\(172\) −1.37784 + 1.53025i −0.105059 + 0.116680i
\(173\) −15.2191 + 6.77600i −1.15709 + 0.515170i −0.893322 0.449416i \(-0.851632\pi\)
−0.263768 + 0.964586i \(0.584965\pi\)
\(174\) 12.2538 8.90291i 0.928959 0.674928i
\(175\) −3.79587 4.21574i −0.286941 0.318680i
\(176\) 0.625077 + 5.94721i 0.0471170 + 0.448288i
\(177\) −6.44618 19.8393i −0.484525 1.49121i
\(178\) −10.6021 2.25354i −0.794658 0.168910i
\(179\) −6.24112 + 1.32659i −0.466483 + 0.0991541i −0.435156 0.900355i \(-0.643307\pi\)
−0.0313273 + 0.999509i \(0.509973\pi\)
\(180\) −1.81889 3.15041i −0.135572 0.234818i
\(181\) 11.7806 0.875646 0.437823 0.899061i \(-0.355750\pi\)
0.437823 + 0.899061i \(0.355750\pi\)
\(182\) 1.35972 + 7.27454i 0.100789 + 0.539225i
\(183\) −28.1030 20.4180i −2.07743 1.50934i
\(184\) −0.930934 0.414478i −0.0686293 0.0305558i
\(185\) 1.51996 + 2.63265i 0.111750 + 0.193556i
\(186\) −23.7830 + 3.71108i −1.74385 + 0.272110i
\(187\) −10.3764 −0.758798
\(188\) 0.275936 + 2.62536i 0.0201247 + 0.191474i
\(189\) 26.6214 11.8526i 1.93642 0.862150i
\(190\) 1.38222 4.25403i 0.100277 0.308620i
\(191\) 11.9616 20.7180i 0.865508 1.49910i −0.00103322 0.999999i \(-0.500329\pi\)
0.866542 0.499105i \(-0.166338\pi\)
\(192\) −14.9742 25.9361i −1.08067 1.87178i
\(193\) −4.59902 + 0.977551i −0.331044 + 0.0703656i −0.370435 0.928858i \(-0.620792\pi\)
0.0393911 + 0.999224i \(0.487458\pi\)
\(194\) 2.32841 + 7.16610i 0.167170 + 0.514496i
\(195\) −3.40983 + 14.2989i −0.244183 + 1.02396i
\(196\) −1.28724 + 0.935235i −0.0919458 + 0.0668025i
\(197\) 2.46264 0.523450i 0.175456 0.0372943i −0.119346 0.992853i \(-0.538080\pi\)
0.294802 + 0.955558i \(0.404746\pi\)
\(198\) −18.6187 8.28959i −1.32317 0.589115i
\(199\) −3.08945 + 1.37551i −0.219006 + 0.0975076i −0.513307 0.858205i \(-0.671580\pi\)
0.294301 + 0.955713i \(0.404913\pi\)
\(200\) −3.30623 10.1755i −0.233786 0.719519i
\(201\) −2.97068 + 1.32263i −0.209536 + 0.0932913i
\(202\) 16.7061 7.43803i 1.17544 0.523338i
\(203\) 1.73466 + 5.33875i 0.121750 + 0.374707i
\(204\) 6.05494 2.69583i 0.423931 0.188746i
\(205\) 5.00635 + 2.22897i 0.349659 + 0.155678i
\(206\) −0.0522447 + 0.0111050i −0.00364006 + 0.000773719i
\(207\) 2.28870 1.66283i 0.159075 0.115575i
\(208\) −2.63727 + 11.0592i −0.182862 + 0.766818i
\(209\) 1.69378 + 5.21293i 0.117161 + 0.360586i
\(210\) −8.18531 + 1.73984i −0.564840 + 0.120060i
\(211\) 7.42169 + 12.8548i 0.510930 + 0.884958i 0.999920 + 0.0126678i \(0.00403238\pi\)
−0.488989 + 0.872290i \(0.662634\pi\)
\(212\) 1.95650 3.38875i 0.134373 0.232740i
\(213\) −1.70043 + 5.23340i −0.116512 + 0.358587i
\(214\) 18.5414 8.25518i 1.26747 0.564313i
\(215\) 0.724426 + 6.89245i 0.0494054 + 0.470061i
\(216\) 54.9605 3.73959
\(217\) 1.41570 8.80787i 0.0961039 0.597917i
\(218\) 10.8361 + 18.7686i 0.733912 + 1.27117i
\(219\) −52.4259 23.3415i −3.54262 1.57727i
\(220\) −0.665288 0.483360i −0.0448537 0.0325882i
\(221\) −18.6064 6.55700i −1.25160 0.441071i
\(222\) −10.8787 −0.730132
\(223\) −5.30955 9.19641i −0.355554 0.615837i 0.631659 0.775247i \(-0.282374\pi\)
−0.987213 + 0.159409i \(0.949041\pi\)
\(224\) 3.14122 0.667687i 0.209882 0.0446117i
\(225\) 29.0534 + 6.17549i 1.93689 + 0.411700i
\(226\) 1.05680 + 3.25251i 0.0702976 + 0.216354i
\(227\) 2.51509 + 23.9294i 0.166932 + 1.58825i 0.682162 + 0.731201i \(0.261040\pi\)
−0.515230 + 0.857052i \(0.672294\pi\)
\(228\) −2.34271 2.60185i −0.155150 0.172311i
\(229\) −15.7185 + 11.4202i −1.03871 + 0.754665i −0.970033 0.242974i \(-0.921877\pi\)
−0.0686750 + 0.997639i \(0.521877\pi\)
\(230\) −0.476755 + 0.212265i −0.0314363 + 0.0139963i
\(231\) 6.86156 7.62053i 0.451457 0.501394i
\(232\) −1.10667 + 10.5293i −0.0726564 + 0.691280i
\(233\) 21.4957 + 15.6176i 1.40823 + 1.02314i 0.993576 + 0.113163i \(0.0360982\pi\)
0.414656 + 0.909978i \(0.363902\pi\)
\(234\) −28.1478 26.6299i −1.84008 1.74085i
\(235\) 7.18790 + 5.22232i 0.468887 + 0.340666i
\(236\) 2.02687 + 0.902421i 0.131938 + 0.0587426i
\(237\) −8.13110 + 1.72832i −0.528171 + 0.112266i
\(238\) −1.17391 11.1690i −0.0760935 0.723981i
\(239\) 3.38925 + 10.4310i 0.219232 + 0.674727i 0.998826 + 0.0484419i \(0.0154256\pi\)
−0.779594 + 0.626285i \(0.784574\pi\)
\(240\) −12.5750 2.67289i −0.811711 0.172535i
\(241\) −11.3887 12.6484i −0.733610 0.814756i 0.254731 0.967012i \(-0.418013\pi\)
−0.988341 + 0.152255i \(0.951346\pi\)
\(242\) 9.48424 0.609670
\(243\) −33.8214 + 58.5804i −2.16964 + 3.75793i
\(244\) 3.61389 0.768157i 0.231356 0.0491762i
\(245\) −0.559767 + 5.32583i −0.0357622 + 0.340255i
\(246\) −15.8659 + 11.5272i −1.01157 + 0.734950i
\(247\) −0.256923 + 10.4179i −0.0163476 + 0.662873i
\(248\) 9.19592 14.0898i 0.583942 0.894702i
\(249\) 6.22541 + 10.7827i 0.394519 + 0.683328i
\(250\) −12.0746 5.37595i −0.763663 0.340005i
\(251\) −3.42680 + 1.52571i −0.216298 + 0.0963020i −0.512025 0.858970i \(-0.671105\pi\)
0.295727 + 0.955272i \(0.404438\pi\)
\(252\) −1.49092 + 4.58858i −0.0939191 + 0.289053i
\(253\) 0.319754 0.553830i 0.0201028 0.0348190i
\(254\) −1.54285 + 2.67229i −0.0968069 + 0.167675i
\(255\) 6.89339 21.2157i 0.431681 1.32858i
\(256\) 8.13868 + 1.72993i 0.508667 + 0.108121i
\(257\) 2.78444 3.09243i 0.173688 0.192900i −0.650015 0.759921i \(-0.725237\pi\)
0.823703 + 0.567021i \(0.191904\pi\)
\(258\) −22.6571 10.0876i −1.41057 0.628027i
\(259\) 1.24589 3.83445i 0.0774158 0.238261i
\(260\) −0.887516 1.28714i −0.0550414 0.0798250i
\(261\) −23.7784 17.2760i −1.47185 1.06936i
\(262\) 11.7315 13.0291i 0.724773 0.804942i
\(263\) 2.00846 19.1092i 0.123847 1.17832i −0.739302 0.673374i \(-0.764844\pi\)
0.863149 0.504950i \(-0.168489\pi\)
\(264\) 17.6682 7.86640i 1.08740 0.484143i
\(265\) −4.06970 12.5252i −0.249999 0.769419i
\(266\) −5.41951 + 2.41292i −0.332291 + 0.147946i
\(267\) 2.98473 + 28.3978i 0.182663 + 1.73792i
\(268\) 0.106877 0.328933i 0.00652854 0.0200928i
\(269\) 0.523658 + 4.98227i 0.0319280 + 0.303774i 0.998819 + 0.0485850i \(0.0154712\pi\)
−0.966891 + 0.255189i \(0.917862\pi\)
\(270\) 18.8338 20.9171i 1.14619 1.27297i
\(271\) 10.2818 11.4191i 0.624576 0.693661i −0.344958 0.938618i \(-0.612107\pi\)
0.969534 + 0.244956i \(0.0787737\pi\)
\(272\) 5.33158 16.4089i 0.323274 0.994936i
\(273\) 17.1193 9.32880i 1.03611 0.564605i
\(274\) 19.0987 1.15380
\(275\) 6.56769 1.39601i 0.396047 0.0841823i
\(276\) −0.0426986 + 0.406250i −0.00257015 + 0.0244534i
\(277\) −0.0832342 0.791921i −0.00500106 0.0475819i 0.991737 0.128289i \(-0.0409487\pi\)
−0.996738 + 0.0807076i \(0.974282\pi\)
\(278\) 7.95611 0.477176
\(279\) 21.1102 + 41.6666i 1.26384 + 2.49451i
\(280\) 2.92463 5.06561i 0.174780 0.302728i
\(281\) 15.7421 11.4373i 0.939092 0.682291i −0.00910965 0.999959i \(-0.502900\pi\)
0.948202 + 0.317668i \(0.102900\pi\)
\(282\) −29.0463 + 12.9322i −1.72968 + 0.770103i
\(283\) 21.3864 4.54582i 1.27129 0.270221i 0.477619 0.878567i \(-0.341500\pi\)
0.793672 + 0.608346i \(0.208167\pi\)
\(284\) −0.292633 0.506855i −0.0173646 0.0300763i
\(285\) −11.7836 −0.698002
\(286\) −8.26134 2.91134i −0.488503 0.172151i
\(287\) −2.24600 6.91246i −0.132577 0.408030i
\(288\) −11.2512 + 12.4957i −0.662981 + 0.736315i
\(289\) 11.8193 + 5.26231i 0.695256 + 0.309548i
\(290\) 3.62803 + 4.02933i 0.213045 + 0.236611i
\(291\) 16.0590 11.6676i 0.941396 0.683964i
\(292\) 5.57599 2.48259i 0.326310 0.145283i
\(293\) −5.32256 1.13135i −0.310947 0.0660939i 0.0497948 0.998759i \(-0.484143\pi\)
−0.360742 + 0.932666i \(0.617477\pi\)
\(294\) −15.5041 11.2644i −0.904217 0.656952i
\(295\) 6.82176 3.03725i 0.397179 0.176835i
\(296\) 5.08814 5.65095i 0.295742 0.328455i
\(297\) −3.60531 + 34.3023i −0.209201 + 1.99042i
\(298\) −8.52523 + 6.19394i −0.493853 + 0.358805i
\(299\) 0.923338 0.791041i 0.0533980 0.0457471i
\(300\) −3.46975 + 2.52092i −0.200326 + 0.145546i
\(301\) 6.15043 6.83074i 0.354505 0.393718i
\(302\) −13.1272 + 14.5792i −0.755385 + 0.838940i
\(303\) −32.2359 35.8016i −1.85191 2.05675i
\(304\) −9.11384 −0.522715
\(305\) 6.21744 10.7689i 0.356010 0.616627i
\(306\) 39.3464 + 43.6986i 2.24928 + 2.49808i
\(307\) 18.8677 + 13.7082i 1.07683 + 0.782366i 0.977128 0.212651i \(-0.0682098\pi\)
0.0997060 + 0.995017i \(0.468210\pi\)
\(308\) 0.114005 + 1.08468i 0.00649601 + 0.0618054i
\(309\) 0.0703546 + 0.121858i 0.00400234 + 0.00693225i
\(310\) −2.21109 8.32809i −0.125581 0.473003i
\(311\) −13.0129 −0.737894 −0.368947 0.929450i \(-0.620282\pi\)
−0.368947 + 0.929450i \(0.620282\pi\)
\(312\) 36.6525 2.94080i 2.07504 0.166490i
\(313\) 3.86121 + 2.80533i 0.218249 + 0.158567i 0.691538 0.722340i \(-0.256933\pi\)
−0.473289 + 0.880907i \(0.656933\pi\)
\(314\) −23.7141 + 5.04058i −1.33826 + 0.284456i
\(315\) 8.11919 + 14.0629i 0.457465 + 0.792352i
\(316\) 0.442069 0.765687i 0.0248683 0.0430732i
\(317\) −1.45893 + 4.49013i −0.0819418 + 0.252191i −0.983631 0.180193i \(-0.942328\pi\)
0.901689 + 0.432384i \(0.142328\pi\)
\(318\) 46.0999 + 9.79883i 2.58515 + 0.549491i
\(319\) −6.49898 1.38140i −0.363873 0.0773436i
\(320\) 8.67318 6.30143i 0.484846 0.352261i
\(321\) −35.7774 39.7348i −1.99690 2.21778i
\(322\) 0.632310 + 0.281523i 0.0352373 + 0.0156886i
\(323\) 1.65304 15.7276i 0.0919777 0.875110i
\(324\) −4.01650 12.3615i −0.223139 0.686751i
\(325\) 12.6590 + 1.64697i 0.702194 + 0.0913577i
\(326\) 10.9678 + 7.96859i 0.607452 + 0.441339i
\(327\) 38.2030 42.4287i 2.11263 2.34631i
\(328\) 1.43289 13.6330i 0.0791179 0.752757i
\(329\) −1.23173 11.7191i −0.0679073 0.646095i
\(330\) 3.06070 9.41987i 0.168486 0.518547i
\(331\) 0.754780 + 7.18125i 0.0414864 + 0.394717i 0.995486 + 0.0949089i \(0.0302560\pi\)
−0.954000 + 0.299808i \(0.903077\pi\)
\(332\) −1.29532 0.275329i −0.0710901 0.0151107i
\(333\) 6.52337 + 20.0769i 0.357479 + 1.10021i
\(334\) 13.6988 + 15.2141i 0.749565 + 0.832476i
\(335\) −0.582026 1.00810i −0.0317995 0.0550783i
\(336\) 8.52527 + 14.7662i 0.465091 + 0.805562i
\(337\) −6.69492 + 20.6048i −0.364695 + 1.12242i 0.585476 + 0.810690i \(0.300908\pi\)
−0.950172 + 0.311727i \(0.899092\pi\)
\(338\) −12.9741 10.4409i −0.705696 0.567911i
\(339\) 7.28877 5.29560i 0.395872 0.287618i
\(340\) 1.18631 + 2.05474i 0.0643364 + 0.111434i
\(341\) 8.19055 + 6.66367i 0.443543 + 0.360858i
\(342\) 15.5307 26.9000i 0.839806 1.45459i
\(343\) 14.8197 10.7671i 0.800189 0.581371i
\(344\) 15.8371 7.05113i 0.853879 0.380171i
\(345\) 0.919942 + 1.02170i 0.0495280 + 0.0550064i
\(346\) 21.3414 1.14732
\(347\) −4.06040 + 7.03283i −0.217974 + 0.377542i −0.954188 0.299206i \(-0.903278\pi\)
0.736215 + 0.676748i \(0.236611\pi\)
\(348\) 4.15124 0.882374i 0.222530 0.0473002i
\(349\) −21.0496 + 23.3780i −1.12676 + 1.25139i −0.162422 + 0.986721i \(0.551931\pi\)
−0.964338 + 0.264673i \(0.914736\pi\)
\(350\) 2.24566 + 6.91144i 0.120036 + 0.369432i
\(351\) −28.1409 + 59.2307i −1.50205 + 3.16150i
\(352\) −1.17459 + 3.61500i −0.0626056 + 0.192680i
\(353\) 2.24748 + 1.00064i 0.119621 + 0.0532588i 0.465675 0.884956i \(-0.345812\pi\)
−0.346053 + 0.938215i \(0.612478\pi\)
\(354\) −2.79329 + 26.5764i −0.148462 + 1.41252i
\(355\) −1.92676 0.409546i −0.102262 0.0217365i
\(356\) −2.45699 1.78511i −0.130220 0.0946107i
\(357\) −27.0281 + 12.0337i −1.43048 + 0.636891i
\(358\) 7.99511 + 1.69941i 0.422555 + 0.0898168i
\(359\) −5.04353 3.66434i −0.266188 0.193397i 0.446683 0.894692i \(-0.352605\pi\)
−0.712870 + 0.701296i \(0.752605\pi\)
\(360\) 3.20131 + 30.4584i 0.168724 + 1.60530i
\(361\) 10.4137 2.21349i 0.548088 0.116500i
\(362\) −13.7867 6.13823i −0.724612 0.322618i
\(363\) −7.72093 23.7626i −0.405244 1.24721i
\(364\) −0.480998 + 2.01703i −0.0252112 + 0.105721i
\(365\) 6.34812 19.5375i 0.332276 1.02264i
\(366\) 22.2499 + 38.5379i 1.16302 + 2.01441i
\(367\) −14.3858 24.9169i −0.750931 1.30065i −0.947372 0.320136i \(-0.896271\pi\)
0.196440 0.980516i \(-0.437062\pi\)
\(368\) 0.711513 + 0.790215i 0.0370902 + 0.0411928i
\(369\) 30.7877 + 22.3685i 1.60274 + 1.16446i
\(370\) −0.407060 3.87292i −0.0211621 0.201344i
\(371\) −8.73343 + 15.1267i −0.453417 + 0.785342i
\(372\) −6.51068 1.76051i −0.337563 0.0912782i
\(373\) 16.7928 29.0859i 0.869496 1.50601i 0.00698339 0.999976i \(-0.497777\pi\)
0.862513 0.506036i \(-0.168890\pi\)
\(374\) 12.1434 + 5.40658i 0.627919 + 0.279568i
\(375\) −3.63966 + 34.6291i −0.187951 + 1.78824i
\(376\) 6.86772 21.1367i 0.354176 1.09004i
\(377\) −10.7807 6.58385i −0.555234 0.339085i
\(378\) −37.3304 −1.92007
\(379\) −35.4030 + 7.52514i −1.81853 + 0.386541i −0.985907 0.167297i \(-0.946496\pi\)
−0.832625 + 0.553838i \(0.813163\pi\)
\(380\) 0.838621 0.931383i 0.0430203 0.0477789i
\(381\) 7.95138 + 1.69012i 0.407361 + 0.0865873i
\(382\) −24.7935 + 18.0135i −1.26855 + 0.921652i
\(383\) −11.4968 12.7685i −0.587460 0.652441i 0.373986 0.927434i \(-0.377991\pi\)
−0.961446 + 0.274994i \(0.911324\pi\)
\(384\) 2.59616 + 24.7008i 0.132485 + 1.26051i
\(385\) 2.96972 + 2.15763i 0.151351 + 0.109963i
\(386\) 5.89151 + 1.25228i 0.299870 + 0.0637394i
\(387\) −5.03062 + 47.8632i −0.255721 + 2.43302i
\(388\) −0.220684 + 2.09967i −0.0112035 + 0.106595i
\(389\) −2.17105 6.68179i −0.110076 0.338780i 0.880812 0.473466i \(-0.156997\pi\)
−0.990888 + 0.134686i \(0.956997\pi\)
\(390\) 11.4408 14.9571i 0.579329 0.757382i
\(391\) −1.49272 + 1.08452i −0.0754900 + 0.0548467i
\(392\) 13.1028 2.78508i 0.661790 0.140668i
\(393\) −42.1946 18.7862i −2.12844 0.947640i
\(394\) −3.15474 0.670560i −0.158933 0.0337823i
\(395\) −0.919546 2.83007i −0.0462674 0.142396i
\(396\) −3.82112 4.24379i −0.192019 0.213258i
\(397\) −10.2416 + 17.7389i −0.514010 + 0.890292i 0.485858 + 0.874038i \(0.338507\pi\)
−0.999868 + 0.0162539i \(0.994826\pi\)
\(398\) 4.33225 0.217156
\(399\) 10.4574 + 11.6142i 0.523527 + 0.581435i
\(400\) −1.16699 + 11.1032i −0.0583497 + 0.555161i
\(401\) −10.9717 4.88491i −0.547900 0.243941i 0.114068 0.993473i \(-0.463612\pi\)
−0.661968 + 0.749532i \(0.730278\pi\)
\(402\) 4.16570 0.207766
\(403\) 10.4760 + 17.1247i 0.521846 + 0.853040i
\(404\) 5.12395 0.254926
\(405\) −39.9638 17.7930i −1.98581 0.884142i
\(406\) 0.751674 7.15170i 0.0373050 0.354933i
\(407\) 3.19313 + 3.54633i 0.158277 + 0.175785i
\(408\) −55.8003 −2.76253
\(409\) −5.48578 + 9.50164i −0.271254 + 0.469826i −0.969183 0.246341i \(-0.920772\pi\)
0.697929 + 0.716167i \(0.254105\pi\)
\(410\) −4.69747 5.21707i −0.231992 0.257653i
\(411\) −15.5479 47.8515i −0.766921 2.36034i
\(412\) −0.0146387 0.00311155i −0.000721198 0.000153295i
\(413\) −9.04757 4.02824i −0.445202 0.198217i
\(414\) −3.54484 + 0.753480i −0.174220 + 0.0370315i
\(415\) −3.60580 + 2.61977i −0.177002 + 0.128599i
\(416\) −4.39057 + 5.73998i −0.215265 + 0.281426i
\(417\) −6.47691 19.9339i −0.317175 0.976166i
\(418\) 0.733960 6.98316i 0.0358991 0.341558i
\(419\) −0.105064 + 0.999615i −0.00513270 + 0.0488344i −0.996788 0.0800798i \(-0.974482\pi\)
0.991656 + 0.128914i \(0.0411492\pi\)
\(420\) −2.29348 0.487495i −0.111911 0.0237873i
\(421\) 14.1266 + 10.2636i 0.688488 + 0.500216i 0.876163 0.482015i \(-0.160095\pi\)
−0.187674 + 0.982231i \(0.560095\pi\)
\(422\) −1.98760 18.9108i −0.0967550 0.920563i
\(423\) 41.2841 + 45.8507i 2.00730 + 2.22934i
\(424\) −26.6516 + 19.3635i −1.29432 + 0.940375i
\(425\) −18.9490 4.02774i −0.919162 0.195374i
\(426\) 4.71683 5.23857i 0.228531 0.253810i
\(427\) −16.1317 + 3.42891i −0.780670 + 0.165937i
\(428\) 5.68688 0.274886
\(429\) −0.568916 + 23.0687i −0.0274675 + 1.11377i
\(430\) 2.74349 8.44360i 0.132303 0.407187i
\(431\) 3.55311 33.8055i 0.171147 1.62836i −0.485555 0.874206i \(-0.661383\pi\)
0.656702 0.754150i \(-0.271951\pi\)
\(432\) −52.3919 23.3264i −2.52071 1.12229i
\(433\) −0.580908 + 1.00616i −0.0279167 + 0.0483531i −0.879646 0.475629i \(-0.842221\pi\)
0.851730 + 0.523982i \(0.175554\pi\)
\(434\) −6.24607 + 9.57009i −0.299821 + 0.459379i
\(435\) 7.14191 12.3702i 0.342428 0.593104i
\(436\) 0.634741 + 6.03916i 0.0303986 + 0.289223i
\(437\) 0.788508 + 0.572884i 0.0377194 + 0.0274048i
\(438\) 49.1914 + 54.6326i 2.35046 + 2.61045i
\(439\) 15.9220 + 27.5777i 0.759915 + 1.31621i 0.942893 + 0.333095i \(0.108093\pi\)
−0.182978 + 0.983117i \(0.558574\pi\)
\(440\) 3.46162 + 5.99570i 0.165026 + 0.285834i
\(441\) −11.4917 + 35.3677i −0.547222 + 1.68418i
\(442\) 18.3583 + 17.3683i 0.873217 + 0.826128i
\(443\) 6.61626 + 20.3627i 0.314348 + 0.967463i 0.976022 + 0.217672i \(0.0698462\pi\)
−0.661674 + 0.749792i \(0.730154\pi\)
\(444\) −2.78463 1.23980i −0.132153 0.0588383i
\(445\) −9.99820 + 2.12518i −0.473960 + 0.100743i
\(446\) 1.42195 + 13.5290i 0.0673313 + 0.640615i
\(447\) 22.4590 + 16.3174i 1.06227 + 0.771788i
\(448\) −13.9079 2.95621i −0.657085 0.139668i
\(449\) −30.8196 + 13.7218i −1.45447 + 0.647570i −0.973400 0.229113i \(-0.926417\pi\)
−0.481067 + 0.876684i \(0.659751\pi\)
\(450\) −30.7831 22.3652i −1.45113 1.05431i
\(451\) 8.41471 + 1.78860i 0.396233 + 0.0842219i
\(452\) −0.100163 + 0.952987i −0.00471127 + 0.0448247i
\(453\) 47.2145 + 21.0213i 2.21833 + 0.987665i
\(454\) 9.52495 29.3148i 0.447028 1.37581i
\(455\) 3.96171 + 5.74555i 0.185728 + 0.269356i
\(456\) 9.10851 + 28.0331i 0.426545 + 1.31277i
\(457\) 12.1113 13.4510i 0.566543 0.629209i −0.389996 0.920817i \(-0.627523\pi\)
0.956538 + 0.291608i \(0.0941901\pi\)
\(458\) 24.3456 5.17481i 1.13759 0.241803i
\(459\) 49.7568 86.1813i 2.32245 4.02260i
\(460\) −0.146226 −0.00681783
\(461\) 18.0048 + 19.9964i 0.838568 + 0.931324i 0.998441 0.0558137i \(-0.0177753\pi\)
−0.159873 + 0.987138i \(0.551109\pi\)
\(462\) −12.0006 + 5.34303i −0.558320 + 0.248580i
\(463\) 20.9526 15.2230i 0.973751 0.707471i 0.0174473 0.999848i \(-0.494446\pi\)
0.956303 + 0.292377i \(0.0944461\pi\)
\(464\) 5.52379 9.56748i 0.256435 0.444159i
\(465\) −19.0658 + 12.3196i −0.884158 + 0.571306i
\(466\) −17.0187 29.4773i −0.788377 1.36551i
\(467\) −9.12090 + 6.62672i −0.422065 + 0.306648i −0.778468 0.627684i \(-0.784003\pi\)
0.356403 + 0.934332i \(0.384003\pi\)
\(468\) −4.17012 10.0243i −0.192764 0.463375i
\(469\) −0.477078 + 1.46830i −0.0220294 + 0.0677996i
\(470\) −5.69085 9.85683i −0.262499 0.454662i
\(471\) 31.9342 + 55.3117i 1.47145 + 2.54863i
\(472\) −12.4987 13.8812i −0.575297 0.638932i
\(473\) 3.36190 + 10.3469i 0.154580 + 0.475750i
\(474\) 10.4162 + 2.21404i 0.478434 + 0.101694i
\(475\) 1.06966 + 10.1771i 0.0490793 + 0.466958i
\(476\) 0.972398 2.99273i 0.0445698 0.137172i
\(477\) −9.55965 90.9540i −0.437706 4.16450i
\(478\) 1.46865 13.9733i 0.0671744 0.639122i
\(479\) 16.6730 18.5173i 0.761811 0.846076i −0.230080 0.973172i \(-0.573899\pi\)
0.991890 + 0.127095i \(0.0405654\pi\)
\(480\) −6.61094 4.80313i −0.301747 0.219232i
\(481\) 3.48477 + 8.37686i 0.158892 + 0.381952i
\(482\) 6.73763 + 20.7363i 0.306891 + 0.944513i
\(483\) 0.190598 1.81342i 0.00867253 0.0825136i
\(484\) 2.42769 + 1.08088i 0.110350 + 0.0491308i
\(485\) 4.75465 + 5.28057i 0.215898 + 0.239779i
\(486\) 70.1038 50.9334i 3.17997 2.31039i
\(487\) −10.3818 2.20673i −0.470447 0.0999965i −0.0334128 0.999442i \(-0.510638\pi\)
−0.437034 + 0.899445i \(0.643971\pi\)
\(488\) −30.4251 6.46706i −1.37728 0.292750i
\(489\) 11.0365 33.9667i 0.499086 1.53603i
\(490\) 3.43009 5.94109i 0.154956 0.268391i
\(491\) −13.2007 22.8643i −0.595740 1.03185i −0.993442 0.114338i \(-0.963525\pi\)
0.397702 0.917515i \(-0.369808\pi\)
\(492\) −5.37492 + 1.14247i −0.242320 + 0.0515067i
\(493\) 15.5086 + 11.2677i 0.698472 + 0.507470i
\(494\) 5.72885 12.0580i 0.257753 0.542516i
\(495\) −19.2199 −0.863870
\(496\) −14.7462 + 9.52836i −0.662122 + 0.427836i
\(497\) 1.30626 + 2.26251i 0.0585937 + 0.101487i
\(498\) −1.66723 15.8626i −0.0747102 0.710820i
\(499\) −21.1654 15.3776i −0.947493 0.688394i 0.00271979 0.999996i \(-0.499134\pi\)
−0.950213 + 0.311603i \(0.899134\pi\)
\(500\) −2.47807 2.75217i −0.110823 0.123081i
\(501\) 26.9666 46.7075i 1.20478 2.08674i
\(502\) 4.80531 0.214471
\(503\) 17.6197 + 19.5687i 0.785624 + 0.872524i 0.994426 0.105434i \(-0.0336231\pi\)
−0.208802 + 0.977958i \(0.566956\pi\)
\(504\) 27.1794 30.1858i 1.21067 1.34458i
\(505\) 11.5395 12.8159i 0.513501 0.570300i
\(506\) −0.662775 + 0.481534i −0.0294639 + 0.0214068i
\(507\) −15.5976 + 41.0060i −0.692713 + 1.82114i
\(508\) −0.699474 + 0.508197i −0.0310341 + 0.0225476i
\(509\) −2.03204 + 19.3336i −0.0900686 + 0.856945i 0.852454 + 0.522802i \(0.175113\pi\)
−0.942522 + 0.334143i \(0.891553\pi\)
\(510\) −19.1216 + 21.2367i −0.846718 + 0.940375i
\(511\) −24.8902 + 11.0818i −1.10108 + 0.490231i
\(512\) −20.5312 14.9168i −0.907358 0.659234i
\(513\) −51.4180 10.9292i −2.27016 0.482537i
\(514\) −4.86989 + 2.16821i −0.214801 + 0.0956358i
\(515\) −0.0407499 + 0.0296066i −0.00179566 + 0.00130462i
\(516\) −4.64993 5.16427i −0.204702 0.227344i
\(517\) 12.7414 + 5.67285i 0.560367 + 0.249492i
\(518\) −3.45597 + 3.83825i −0.151847 + 0.168643i
\(519\) −17.3736 53.4704i −0.762615 2.34709i
\(520\) 2.41842 + 12.9386i 0.106055 + 0.567395i
\(521\) −42.5510 −1.86419 −0.932096 0.362212i \(-0.882022\pi\)
−0.932096 + 0.362212i \(0.882022\pi\)
\(522\) 18.8260 + 32.6075i 0.823991 + 1.42719i
\(523\) −8.33799 + 1.77229i −0.364595 + 0.0774970i −0.386566 0.922262i \(-0.626339\pi\)
0.0219716 + 0.999759i \(0.493006\pi\)
\(524\) 4.48779 1.99809i 0.196050 0.0872871i
\(525\) 15.4883 11.2529i 0.675966 0.491118i
\(526\) −12.3072 + 21.3168i −0.536621 + 0.929455i
\(527\) −13.7684 27.1755i −0.599759 1.18378i
\(528\) −20.1812 −0.878272
\(529\) 2.39227 + 22.7609i 0.104012 + 0.989605i
\(530\) −1.76350 + 16.7786i −0.0766017 + 0.728817i
\(531\) 50.7223 10.7814i 2.20116 0.467871i
\(532\) −1.66223 −0.0720666
\(533\) 13.9585 + 8.52459i 0.604612 + 0.369241i
\(534\) 11.3036 34.7888i 0.489153 1.50546i
\(535\) 12.8072 14.2239i 0.553705 0.614952i
\(536\) −1.94836 + 2.16387i −0.0841563 + 0.0934650i
\(537\) −2.25081 21.4151i −0.0971298 0.924128i
\(538\) 1.98316 6.10353i 0.0855000 0.263142i
\(539\) 0.878721 + 8.36047i 0.0378492 + 0.360111i
\(540\) 7.20473 3.20775i 0.310042 0.138040i
\(541\) 8.24897 + 25.3877i 0.354651 + 1.09150i 0.956212 + 0.292676i \(0.0945457\pi\)
−0.601561 + 0.798827i \(0.705454\pi\)
\(542\) −17.9825 + 8.00634i −0.772416 + 0.343902i
\(543\) −4.15575 + 39.5393i −0.178340 + 1.69679i
\(544\) 7.33816 8.14985i 0.314621 0.349422i
\(545\) 16.5345 + 12.0130i 0.708260 + 0.514581i
\(546\) −24.8952 + 1.99745i −1.06542 + 0.0854831i
\(547\) −8.34539 + 25.6845i −0.356823 + 1.09819i 0.598122 + 0.801405i \(0.295914\pi\)
−0.954945 + 0.296783i \(0.904086\pi\)
\(548\) 4.88872 + 2.17660i 0.208836 + 0.0929797i
\(549\) 57.7804 64.1716i 2.46601 2.73878i
\(550\) −8.41347 1.78834i −0.358751 0.0762550i
\(551\) 3.12914 9.63052i 0.133306 0.410274i
\(552\) 1.71951 2.97828i 0.0731873 0.126764i
\(553\) −1.97332 + 3.41788i −0.0839139 + 0.145343i
\(554\) −0.315219 + 0.970143i −0.0133924 + 0.0412174i
\(555\) −9.37214 + 4.17275i −0.397825 + 0.177123i
\(556\) 2.03653 + 0.906722i 0.0863682 + 0.0384536i
\(557\) −12.8315 22.2248i −0.543688 0.941695i −0.998688 0.0512040i \(-0.983694\pi\)
0.455000 0.890491i \(-0.349639\pi\)
\(558\) −2.99483 59.7612i −0.126781 2.52989i
\(559\) −0.509954 + 20.6779i −0.0215687 + 0.874580i
\(560\) −4.93790 + 3.58759i −0.208664 + 0.151603i
\(561\) 3.66040 34.8264i 0.154542 1.47037i
\(562\) −24.3821 + 5.18257i −1.02850 + 0.218613i
\(563\) 1.87687 3.25083i 0.0791005 0.137006i −0.823762 0.566936i \(-0.808129\pi\)
0.902862 + 0.429930i \(0.141462\pi\)
\(564\) −8.90883 −0.375129
\(565\) 2.15801 + 2.39672i 0.0907883 + 0.100831i
\(566\) −27.3968 5.82338i −1.15157 0.244775i
\(567\) 17.9289 + 55.1795i 0.752943 + 2.31732i
\(568\) 0.515044 + 4.90032i 0.0216108 + 0.205613i
\(569\) 20.9915 4.46189i 0.880010 0.187052i 0.254317 0.967121i \(-0.418149\pi\)
0.625694 + 0.780069i \(0.284816\pi\)
\(570\) 13.7902 + 6.13980i 0.577609 + 0.257168i
\(571\) −10.9686 7.96917i −0.459022 0.333499i 0.334125 0.942529i \(-0.391559\pi\)
−0.793148 + 0.609029i \(0.791559\pi\)
\(572\) −1.78287 1.68673i −0.0745455 0.0705256i
\(573\) 65.3164 + 47.4552i 2.72863 + 1.98247i
\(574\) −0.973247 + 9.25983i −0.0406226 + 0.386498i
\(575\) 0.798899 0.887268i 0.0333164 0.0370016i
\(576\) 68.0109 30.2804i 2.83379 1.26168i
\(577\) 13.0664 9.49328i 0.543960 0.395210i −0.281593 0.959534i \(-0.590863\pi\)
0.825554 + 0.564324i \(0.190863\pi\)
\(578\) −11.0901 12.3168i −0.461288 0.512312i
\(579\) −1.65860 15.7805i −0.0689291 0.655816i
\(580\) 0.469464 + 1.44486i 0.0194934 + 0.0599947i
\(581\) 5.78208 + 1.22902i 0.239881 + 0.0509883i
\(582\) −24.8730 + 5.28691i −1.03102 + 0.219150i
\(583\) −10.3370 17.9041i −0.428113 0.741514i
\(584\) −51.3864 −2.12639
\(585\) −34.4640 12.1453i −1.42491 0.502147i
\(586\) 5.63944 + 4.09729i 0.232963 + 0.169258i
\(587\) 8.44499 + 3.75995i 0.348562 + 0.155190i 0.573548 0.819172i \(-0.305567\pi\)
−0.224985 + 0.974362i \(0.572233\pi\)
\(588\) −2.68484 4.65028i −0.110721 0.191775i
\(589\) −11.4050 + 11.3529i −0.469936 + 0.467790i
\(590\) −9.56596 −0.393825
\(591\) 0.888132 + 8.45002i 0.0365329 + 0.347587i
\(592\) −7.24872 + 3.22734i −0.297921 + 0.132643i
\(593\) −3.19866 + 9.84445i −0.131353 + 0.404263i −0.995005 0.0998256i \(-0.968172\pi\)
0.863652 + 0.504089i \(0.168172\pi\)
\(594\) 22.0923 38.2649i 0.906457 1.57003i
\(595\) −5.29544 9.17198i −0.217092 0.376014i
\(596\) −2.88811 + 0.613886i −0.118301 + 0.0251457i
\(597\) −3.52680 10.8544i −0.144342 0.444240i
\(598\) −1.49274 + 0.444644i −0.0610426 + 0.0181828i
\(599\) −29.0581 + 21.1120i −1.18728 + 0.862611i −0.992974 0.118329i \(-0.962246\pi\)
−0.194308 + 0.980941i \(0.562246\pi\)
\(600\) 35.3185 7.50718i 1.44187 0.306479i
\(601\) 34.6051 + 15.4072i 1.41157 + 0.628473i 0.964031 0.265791i \(-0.0856330\pi\)
0.447542 + 0.894263i \(0.352300\pi\)
\(602\) −10.7569 + 4.78928i −0.438418 + 0.195196i
\(603\) −2.49794 7.68787i −0.101724 0.313074i
\(604\) −5.02171 + 2.23581i −0.204330 + 0.0909737i
\(605\) 8.17079 3.63787i 0.332190 0.147900i
\(606\) 19.0710 + 58.6945i 0.774707 + 2.38430i
\(607\) −11.1261 + 4.95365i −0.451593 + 0.201062i −0.619914 0.784670i \(-0.712832\pi\)
0.168320 + 0.985732i \(0.446166\pi\)
\(608\) −5.29218 2.35623i −0.214626 0.0955578i
\(609\) −18.5304 + 3.93875i −0.750888 + 0.159606i
\(610\) −12.8873 + 9.36316i −0.521791 + 0.379103i
\(611\) 19.2625 + 18.2237i 0.779276 + 0.737253i
\(612\) 5.09139 + 15.6697i 0.205807 + 0.633410i
\(613\) −4.41373 + 0.938168i −0.178269 + 0.0378922i −0.296181 0.955132i \(-0.595713\pi\)
0.117912 + 0.993024i \(0.462380\pi\)
\(614\) −14.9380 25.8734i −0.602849 1.04416i
\(615\) −9.24715 + 16.0165i −0.372881 + 0.645849i
\(616\) 2.83744 8.73274i 0.114324 0.351852i
\(617\) −25.6795 + 11.4332i −1.03382 + 0.460285i −0.852272 0.523098i \(-0.824776\pi\)
−0.181544 + 0.983383i \(0.558109\pi\)
\(618\) −0.0188417 0.179267i −0.000757923 0.00721116i
\(619\) 18.3597 0.737938 0.368969 0.929442i \(-0.379711\pi\)
0.368969 + 0.929442i \(0.379711\pi\)
\(620\) 0.383140 2.38374i 0.0153873 0.0957331i
\(621\) 3.06656 + 5.31143i 0.123057 + 0.213141i
\(622\) 15.2288 + 6.78031i 0.610620 + 0.271866i
\(623\) 10.9676 + 7.96840i 0.439406 + 0.319247i
\(624\) −36.1877 12.7527i −1.44867 0.510519i
\(625\) 5.23835 0.209534
\(626\) −3.05702 5.29491i −0.122183 0.211627i
\(627\) −18.0937 + 3.84593i −0.722592 + 0.153592i
\(628\) −6.64456 1.41235i −0.265147 0.0563587i
\(629\) −4.25463 13.0944i −0.169643 0.522108i
\(630\) −2.17440 20.6880i −0.0866302 0.824231i
\(631\) 8.88123 + 9.86360i 0.353556 + 0.392664i 0.893519 0.449025i \(-0.148229\pi\)
−0.539963 + 0.841689i \(0.681562\pi\)
\(632\) −6.02192 + 4.37518i −0.239539 + 0.174035i
\(633\) −45.7625 + 20.3748i −1.81890 + 0.809825i
\(634\) 4.04693 4.49457i 0.160724 0.178502i
\(635\) −0.304172 + 2.89400i −0.0120707 + 0.114845i
\(636\) 10.6835 + 7.76201i 0.423628 + 0.307784i
\(637\) −3.70742 + 15.5468i −0.146893 + 0.615987i
\(638\) 6.88590 + 5.00290i 0.272615 + 0.198067i
\(639\) −12.4963 5.56372i −0.494346 0.220097i
\(640\) −8.69655 + 1.84851i −0.343761 + 0.0730687i
\(641\) 0.874508 + 8.32039i 0.0345410 + 0.328636i 0.998124 + 0.0612260i \(0.0195010\pi\)
−0.963583 + 0.267410i \(0.913832\pi\)
\(642\) 21.1662 + 65.1428i 0.835363 + 2.57098i
\(643\) 10.0886 + 2.14439i 0.397855 + 0.0845667i 0.402494 0.915423i \(-0.368143\pi\)
−0.00463920 + 0.999989i \(0.501477\pi\)
\(644\) 0.129769 + 0.144123i 0.00511362 + 0.00567925i
\(645\) −23.3887 −0.920929
\(646\) −10.1294 + 17.5446i −0.398534 + 0.690281i
\(647\) 15.8813 3.37567i 0.624357 0.132711i 0.115140 0.993349i \(-0.463268\pi\)
0.509217 + 0.860638i \(0.329935\pi\)
\(648\) −11.4382 + 108.827i −0.449334 + 4.27512i
\(649\) 9.48347 6.89015i 0.372259 0.270462i
\(650\) −13.9565 8.52333i −0.547418 0.334313i
\(651\) 29.0625 + 7.85859i 1.13905 + 0.308002i
\(652\) 1.89930 + 3.28968i 0.0743823 + 0.128834i
\(653\) 13.9487 + 6.21038i 0.545857 + 0.243031i 0.661089 0.750308i \(-0.270095\pi\)
−0.115232 + 0.993339i \(0.536761\pi\)
\(654\) −66.8158 + 29.7483i −2.61270 + 1.16325i
\(655\) 5.10923 15.7246i 0.199634 0.614411i
\(656\) −7.15205 + 12.3877i −0.279241 + 0.483659i
\(657\) 71.3280 123.544i 2.78277 4.81990i
\(658\) −4.66471 + 14.3565i −0.181849 + 0.559674i
\(659\) −17.4739 3.71419i −0.680686 0.144684i −0.145423 0.989370i \(-0.546454\pi\)
−0.535263 + 0.844685i \(0.679788\pi\)
\(660\) 1.85699 2.06240i 0.0722833 0.0802788i
\(661\) 33.2536 + 14.8055i 1.29342 + 0.575866i 0.933987 0.357307i \(-0.116305\pi\)
0.359428 + 0.933173i \(0.382972\pi\)
\(662\) 2.85845 8.79739i 0.111097 0.341920i
\(663\) 28.5709 60.1357i 1.10960 2.33548i
\(664\) 9.01961 + 6.55313i 0.350029 + 0.254311i
\(665\) −3.74345 + 4.15752i −0.145165 + 0.161222i
\(666\) 2.82674 26.8947i 0.109534 1.04215i
\(667\) −1.07930 + 0.480537i −0.0417908 + 0.0186065i
\(668\) 1.77261 + 5.45554i 0.0685845 + 0.211081i
\(669\) 32.7390 14.5763i 1.26576 0.563553i
\(670\) 0.155872 + 1.48303i 0.00602187 + 0.0572943i
\(671\) 6.03208 18.5648i 0.232866 0.716688i
\(672\) 1.13286 + 10.7784i 0.0437009 + 0.415787i
\(673\) 8.66095 9.61896i 0.333855 0.370784i −0.552721 0.833366i \(-0.686410\pi\)
0.886576 + 0.462583i \(0.153077\pi\)
\(674\) 18.5710 20.6252i 0.715329 0.794454i
\(675\) −19.8988 + 61.2421i −0.765903 + 2.35721i
\(676\) −2.13108 4.15117i −0.0819645 0.159660i
\(677\) −5.46373 −0.209988 −0.104994 0.994473i \(-0.533482\pi\)
−0.104994 + 0.994473i \(0.533482\pi\)
\(678\) −11.2892 + 2.39959i −0.433559 + 0.0921559i
\(679\) 0.985094 9.37254i 0.0378044 0.359685i
\(680\) −2.08794 19.8654i −0.0800688 0.761803i
\(681\) −81.2017 −3.11165
\(682\) −6.11322 12.0661i −0.234087 0.462033i
\(683\) −7.60502 + 13.1723i −0.290998 + 0.504023i −0.974046 0.226350i \(-0.927321\pi\)
0.683048 + 0.730373i \(0.260654\pi\)
\(684\) 7.04109 5.11565i 0.269223 0.195602i
\(685\) 16.4538 7.32570i 0.628667 0.279901i
\(686\) −22.9535 + 4.87891i −0.876367 + 0.186278i
\(687\) −32.7846 56.7846i −1.25081 2.16647i
\(688\) −18.0896 −0.689659
\(689\) −7.22179 38.6368i −0.275128 1.47194i
\(690\) −0.544245 1.67501i −0.0207190 0.0637666i
\(691\) −8.88283 + 9.86538i −0.337919 + 0.375297i −0.888023 0.459799i \(-0.847921\pi\)
0.550104 + 0.835096i \(0.314588\pi\)
\(692\) 5.46277 + 2.43218i 0.207663 + 0.0924577i
\(693\) 17.0568 + 18.9435i 0.647933 + 0.719603i
\(694\) 8.41626 6.11477i 0.319477 0.232113i
\(695\) 6.85428 3.05172i 0.259998 0.115758i
\(696\) −34.9490 7.42864i −1.32474 0.281582i
\(697\) −20.0801 14.5891i −0.760589 0.552600i
\(698\) 36.8151 16.3911i 1.39347 0.620413i
\(699\) −60.0002 + 66.6369i −2.26941 + 2.52044i
\(700\) −0.212842 + 2.02506i −0.00804467 + 0.0765399i
\(701\) −12.2832 + 8.92426i −0.463930 + 0.337065i −0.795071 0.606517i \(-0.792566\pi\)
0.331141 + 0.943581i \(0.392566\pi\)
\(702\) 63.7948 54.6542i 2.40778 2.06279i
\(703\) −5.88390 + 4.27490i −0.221915 + 0.161231i
\(704\) 11.2609 12.5065i 0.424413 0.471358i
\(705\) −20.0633 + 22.2825i −0.755627 + 0.839209i
\(706\) −2.10882 2.34208i −0.0793663 0.0881452i
\(707\) −22.8724 −0.860204
\(708\) −3.74380 + 6.48445i −0.140701 + 0.243701i
\(709\) −6.05026 6.71949i −0.227222 0.252356i 0.618744 0.785593i \(-0.287642\pi\)
−0.845966 + 0.533237i \(0.820975\pi\)
\(710\) 2.04147 + 1.48322i 0.0766152 + 0.0556642i
\(711\) −2.16000 20.5510i −0.0810063 0.770723i
\(712\) 12.7842 + 22.1429i 0.479108 + 0.829839i
\(713\) 1.87474 + 0.102554i 0.0702096 + 0.00384066i
\(714\) 37.9008 1.41840
\(715\) −8.23395 + 0.660646i −0.307932 + 0.0247068i
\(716\) 1.85284 + 1.34617i 0.0692439 + 0.0503087i
\(717\) −36.2053 + 7.69567i −1.35211 + 0.287400i
\(718\) 3.99309 + 6.91624i 0.149021 + 0.258112i
\(719\) 0.650593 1.12686i 0.0242630 0.0420248i −0.853639 0.520865i \(-0.825609\pi\)
0.877902 + 0.478840i \(0.158943\pi\)
\(720\) 9.87550 30.3937i 0.368038 1.13271i
\(721\) 0.0653445 + 0.0138894i 0.00243356 + 0.000517268i
\(722\) −13.3403 2.83557i −0.496475 0.105529i
\(723\) 46.4694 33.7620i 1.72822 1.25562i
\(724\) −2.82944 3.14242i −0.105155 0.116787i
\(725\) −11.3320 5.04533i −0.420860 0.187379i
\(726\) −3.34568 + 31.8320i −0.124170 + 1.18140i
\(727\) 7.83173 + 24.1036i 0.290463 + 0.893952i 0.984708 + 0.174214i \(0.0557384\pi\)
−0.694245 + 0.719739i \(0.744262\pi\)
\(728\) 10.6063 13.8661i 0.393095 0.513910i
\(729\) −96.7963 70.3266i −3.58505 2.60469i
\(730\) −17.6090 + 19.5568i −0.651740 + 0.723830i
\(731\) 3.28104 31.2170i 0.121354 1.15460i
\(732\) 1.30332 + 12.4003i 0.0481722 + 0.458328i
\(733\) 6.33517 19.4977i 0.233995 0.720162i −0.763258 0.646094i \(-0.776402\pi\)
0.997253 0.0740687i \(-0.0235984\pi\)
\(734\) 3.85265 + 36.6556i 0.142204 + 1.35298i
\(735\) −17.6776 3.75750i −0.652049 0.138597i
\(736\) 0.208861 + 0.642808i 0.00769872 + 0.0236942i
\(737\) −1.22272 1.35797i −0.0450394 0.0500213i
\(738\) −24.3754 42.2194i −0.897270 1.55412i
\(739\) 4.72521 + 8.18430i 0.173820 + 0.301064i 0.939752 0.341857i \(-0.111056\pi\)
−0.765933 + 0.642921i \(0.777722\pi\)
\(740\) 0.337184 1.03775i 0.0123951 0.0381483i
\(741\) −34.8749 4.53733i −1.28116 0.166683i
\(742\) 18.1023 13.1521i 0.664558 0.482830i
\(743\) −5.27684 9.13976i −0.193589 0.335305i 0.752848 0.658194i \(-0.228679\pi\)
−0.946437 + 0.322889i \(0.895346\pi\)
\(744\) 44.0456 + 35.8346i 1.61479 + 1.31376i
\(745\) −4.96878 + 8.60618i −0.182042 + 0.315306i
\(746\) −34.8074 + 25.2891i −1.27439 + 0.925899i
\(747\) −28.2750 + 12.5888i −1.03453 + 0.460601i
\(748\) 2.49219 + 2.76785i 0.0911234 + 0.101203i
\(749\) −25.3852 −0.927554
\(750\) 22.3028 38.6295i 0.814382 1.41055i
\(751\) −12.2561 + 2.60510i −0.447230 + 0.0950616i −0.426021 0.904713i \(-0.640085\pi\)
−0.0212091 + 0.999775i \(0.506752\pi\)
\(752\) −15.5176 + 17.2341i −0.565869 + 0.628461i
\(753\) −3.91190 12.0396i −0.142558 0.438747i
\(754\) 9.18602 + 13.3222i 0.334535 + 0.485167i
\(755\) −5.71708 + 17.5954i −0.208066 + 0.640361i
\(756\)