Properties

Label 690.2.m.g.31.2
Level $690$
Weight $2$
Character 690.31
Analytic conductor $5.510$
Analytic rank $0$
Dimension $30$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 690.m (of order \(11\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.50967773947\)
Analytic rank: \(0\)
Dimension: \(30\)
Relative dimension: \(3\) over \(\Q(\zeta_{11})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label 31.2
Character \(\chi\) \(=\) 690.31
Dual form 690.2.m.g.601.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.142315 + 0.989821i) q^{2} +(0.415415 + 0.909632i) q^{3} +(-0.959493 - 0.281733i) q^{4} +(-0.654861 - 0.755750i) q^{5} +(-0.959493 + 0.281733i) q^{6} +(-1.19214 - 0.766143i) q^{7} +(0.415415 - 0.909632i) q^{8} +(-0.654861 + 0.755750i) q^{9} +O(q^{10})\) \(q+(-0.142315 + 0.989821i) q^{2} +(0.415415 + 0.909632i) q^{3} +(-0.959493 - 0.281733i) q^{4} +(-0.654861 - 0.755750i) q^{5} +(-0.959493 + 0.281733i) q^{6} +(-1.19214 - 0.766143i) q^{7} +(0.415415 - 0.909632i) q^{8} +(-0.654861 + 0.755750i) q^{9} +(0.841254 - 0.540641i) q^{10} +(0.577515 + 4.01670i) q^{11} +(-0.142315 - 0.989821i) q^{12} +(-3.17730 + 2.04193i) q^{13} +(0.928004 - 1.07097i) q^{14} +(0.415415 - 0.909632i) q^{15} +(0.841254 + 0.540641i) q^{16} +(-0.685140 + 0.201175i) q^{17} +(-0.654861 - 0.755750i) q^{18} +(-5.06029 - 1.48584i) q^{19} +(0.415415 + 0.909632i) q^{20} +(0.201675 - 1.40268i) q^{21} -4.05801 q^{22} +(-1.59325 - 4.52345i) q^{23} +1.00000 q^{24} +(-0.142315 + 0.989821i) q^{25} +(-1.56897 - 3.43556i) q^{26} +(-0.959493 - 0.281733i) q^{27} +(0.928004 + 1.07097i) q^{28} +(-6.08763 + 1.78749i) q^{29} +(0.841254 + 0.540641i) q^{30} +(-4.36442 + 9.55674i) q^{31} +(-0.654861 + 0.755750i) q^{32} +(-3.41381 + 2.19392i) q^{33} +(-0.101622 - 0.706796i) q^{34} +(0.201675 + 1.40268i) q^{35} +(0.841254 - 0.540641i) q^{36} +(1.24849 - 1.44083i) q^{37} +(2.19087 - 4.79733i) q^{38} +(-3.17730 - 2.04193i) q^{39} +(-0.959493 + 0.281733i) q^{40} +(-7.44001 - 8.58623i) q^{41} +(1.35970 + 0.399244i) q^{42} +(-0.495831 - 1.08572i) q^{43} +(0.577515 - 4.01670i) q^{44} +1.00000 q^{45} +(4.70415 - 0.933277i) q^{46} +6.23833 q^{47} +(-0.142315 + 0.989821i) q^{48} +(-2.07368 - 4.54072i) q^{49} +(-0.959493 - 0.281733i) q^{50} +(-0.467613 - 0.539654i) q^{51} +(3.62388 - 1.06407i) q^{52} +(10.2844 + 6.60938i) q^{53} +(0.415415 - 0.909632i) q^{54} +(2.65743 - 3.06684i) q^{55} +(-1.19214 + 0.766143i) q^{56} +(-0.750557 - 5.22024i) q^{57} +(-0.902936 - 6.28006i) q^{58} +(10.2213 - 6.56883i) q^{59} +(-0.654861 + 0.755750i) q^{60} +(-4.37254 + 9.57452i) q^{61} +(-8.83835 - 5.68006i) q^{62} +(1.35970 - 0.399244i) q^{63} +(-0.654861 - 0.755750i) q^{64} +(3.62388 + 1.06407i) q^{65} +(-1.68576 - 3.69129i) q^{66} +(-1.53988 + 10.7101i) q^{67} +0.714064 q^{68} +(3.45281 - 3.32838i) q^{69} -1.41710 q^{70} +(-1.76050 + 12.2446i) q^{71} +(0.415415 + 0.909632i) q^{72} +(-2.26681 - 0.665597i) q^{73} +(1.24849 + 1.44083i) q^{74} +(-0.959493 + 0.281733i) q^{75} +(4.43670 + 2.85130i) q^{76} +(2.38889 - 5.23094i) q^{77} +(2.47332 - 2.85437i) q^{78} +(-6.51708 + 4.18827i) q^{79} +(-0.142315 - 0.989821i) q^{80} +(-0.142315 - 0.989821i) q^{81} +(9.55765 - 6.14233i) q^{82} +(11.2250 - 12.9543i) q^{83} +(-0.588685 + 1.28904i) q^{84} +(0.600709 + 0.386052i) q^{85} +(1.14523 - 0.336270i) q^{86} +(-4.15485 - 4.79496i) q^{87} +(3.89363 + 1.14327i) q^{88} +(-3.42073 - 7.49036i) q^{89} +(-0.142315 + 0.989821i) q^{90} +5.35221 q^{91} +(0.254308 + 4.78908i) q^{92} -10.5062 q^{93} +(-0.887807 + 6.17483i) q^{94} +(2.19087 + 4.79733i) q^{95} +(-0.959493 - 0.281733i) q^{96} +(1.48686 + 1.71593i) q^{97} +(4.78962 - 1.40636i) q^{98} +(-3.41381 - 2.19392i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 30q - 3q^{2} - 3q^{3} - 3q^{4} - 3q^{5} - 3q^{6} - 8q^{7} - 3q^{8} - 3q^{9} + O(q^{10}) \) \( 30q - 3q^{2} - 3q^{3} - 3q^{4} - 3q^{5} - 3q^{6} - 8q^{7} - 3q^{8} - 3q^{9} - 3q^{10} + 8q^{11} - 3q^{12} - 5q^{13} - 8q^{14} - 3q^{15} - 3q^{16} + 4q^{17} - 3q^{18} + 6q^{19} - 3q^{20} + 3q^{21} + 8q^{22} + q^{23} + 30q^{24} - 3q^{25} - 5q^{26} - 3q^{27} - 8q^{28} - 10q^{29} - 3q^{30} - 10q^{31} - 3q^{32} - 14q^{33} - 7q^{34} + 3q^{35} - 3q^{36} - 12q^{37} - 5q^{38} - 5q^{39} - 3q^{40} + 5q^{41} + 3q^{42} + 2q^{43} + 8q^{44} + 30q^{45} - 21q^{46} + 96q^{47} - 3q^{48} - 43q^{49} - 3q^{50} + 15q^{51} - 16q^{52} + 12q^{53} - 3q^{54} + 8q^{55} - 8q^{56} + 17q^{57} + q^{58} - 9q^{59} - 3q^{60} + q^{61} - 32q^{62} + 3q^{63} - 3q^{64} - 16q^{65} - 3q^{66} - 28q^{67} + 4q^{68} + 23q^{69} + 14q^{70} + 3q^{71} - 3q^{72} - 27q^{73} - 12q^{74} - 3q^{75} - 16q^{76} + 47q^{77} + 6q^{78} + 2q^{79} - 3q^{80} - 3q^{81} + 27q^{82} + 11q^{83} + 3q^{84} - 7q^{85} + 2q^{86} - 32q^{87} - 3q^{88} + 25q^{89} - 3q^{90} - 90q^{91} - 10q^{92} + 56q^{93} - 25q^{94} - 5q^{95} - 3q^{96} - 7q^{97} - 32q^{98} - 14q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).

\(n\) \(277\) \(461\) \(511\)
\(\chi(n)\) \(1\) \(1\) \(e\left(\frac{3}{11}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.142315 + 0.989821i −0.100632 + 0.699909i
\(3\) 0.415415 + 0.909632i 0.239840 + 0.525176i
\(4\) −0.959493 0.281733i −0.479746 0.140866i
\(5\) −0.654861 0.755750i −0.292863 0.337981i
\(6\) −0.959493 + 0.281733i −0.391711 + 0.115017i
\(7\) −1.19214 0.766143i −0.450587 0.289575i 0.295599 0.955312i \(-0.404481\pi\)
−0.746186 + 0.665737i \(0.768117\pi\)
\(8\) 0.415415 0.909632i 0.146871 0.321603i
\(9\) −0.654861 + 0.755750i −0.218287 + 0.251917i
\(10\) 0.841254 0.540641i 0.266028 0.170966i
\(11\) 0.577515 + 4.01670i 0.174127 + 1.21108i 0.870050 + 0.492964i \(0.164087\pi\)
−0.695922 + 0.718117i \(0.745004\pi\)
\(12\) −0.142315 0.989821i −0.0410828 0.285737i
\(13\) −3.17730 + 2.04193i −0.881226 + 0.566329i −0.901167 0.433472i \(-0.857288\pi\)
0.0199416 + 0.999801i \(0.493652\pi\)
\(14\) 0.928004 1.07097i 0.248020 0.286230i
\(15\) 0.415415 0.909632i 0.107260 0.234866i
\(16\) 0.841254 + 0.540641i 0.210313 + 0.135160i
\(17\) −0.685140 + 0.201175i −0.166171 + 0.0487921i −0.363760 0.931493i \(-0.618507\pi\)
0.197589 + 0.980285i \(0.436689\pi\)
\(18\) −0.654861 0.755750i −0.154352 0.178132i
\(19\) −5.06029 1.48584i −1.16091 0.340874i −0.356124 0.934439i \(-0.615902\pi\)
−0.804786 + 0.593565i \(0.797720\pi\)
\(20\) 0.415415 + 0.909632i 0.0928896 + 0.203400i
\(21\) 0.201675 1.40268i 0.0440090 0.306089i
\(22\) −4.05801 −0.865170
\(23\) −1.59325 4.52345i −0.332215 0.943204i
\(24\) 1.00000 0.204124
\(25\) −0.142315 + 0.989821i −0.0284630 + 0.197964i
\(26\) −1.56897 3.43556i −0.307700 0.673769i
\(27\) −0.959493 0.281733i −0.184655 0.0542195i
\(28\) 0.928004 + 1.07097i 0.175376 + 0.202395i
\(29\) −6.08763 + 1.78749i −1.13044 + 0.331929i −0.792883 0.609375i \(-0.791421\pi\)
−0.337562 + 0.941303i \(0.609602\pi\)
\(30\) 0.841254 + 0.540641i 0.153591 + 0.0987071i
\(31\) −4.36442 + 9.55674i −0.783873 + 1.71644i −0.0904611 + 0.995900i \(0.528834\pi\)
−0.693412 + 0.720542i \(0.743893\pi\)
\(32\) −0.654861 + 0.755750i −0.115764 + 0.133599i
\(33\) −3.41381 + 2.19392i −0.594268 + 0.381913i
\(34\) −0.101622 0.706796i −0.0174280 0.121215i
\(35\) 0.201675 + 1.40268i 0.0340892 + 0.237096i
\(36\) 0.841254 0.540641i 0.140209 0.0901068i
\(37\) 1.24849 1.44083i 0.205250 0.236871i −0.643787 0.765205i \(-0.722638\pi\)
0.849037 + 0.528334i \(0.177183\pi\)
\(38\) 2.19087 4.79733i 0.355405 0.778229i
\(39\) −3.17730 2.04193i −0.508776 0.326970i
\(40\) −0.959493 + 0.281733i −0.151709 + 0.0445458i
\(41\) −7.44001 8.58623i −1.16193 1.34094i −0.929715 0.368279i \(-0.879947\pi\)
−0.232219 0.972664i \(-0.574598\pi\)
\(42\) 1.35970 + 0.399244i 0.209806 + 0.0616046i
\(43\) −0.495831 1.08572i −0.0756135 0.165570i 0.868050 0.496476i \(-0.165373\pi\)
−0.943664 + 0.330906i \(0.892646\pi\)
\(44\) 0.577515 4.01670i 0.0870636 0.605541i
\(45\) 1.00000 0.149071
\(46\) 4.70415 0.933277i 0.693589 0.137604i
\(47\) 6.23833 0.909954 0.454977 0.890503i \(-0.349648\pi\)
0.454977 + 0.890503i \(0.349648\pi\)
\(48\) −0.142315 + 0.989821i −0.0205414 + 0.142868i
\(49\) −2.07368 4.54072i −0.296240 0.648675i
\(50\) −0.959493 0.281733i −0.135693 0.0398430i
\(51\) −0.467613 0.539654i −0.0654789 0.0755666i
\(52\) 3.62388 1.06407i 0.502542 0.147560i
\(53\) 10.2844 + 6.60938i 1.41267 + 0.907868i 0.999995 0.00301117i \(-0.000958487\pi\)
0.412674 + 0.910879i \(0.364595\pi\)
\(54\) 0.415415 0.909632i 0.0565308 0.123785i
\(55\) 2.65743 3.06684i 0.358328 0.413532i
\(56\) −1.19214 + 0.766143i −0.159307 + 0.102380i
\(57\) −0.750557 5.22024i −0.0994137 0.691438i
\(58\) −0.902936 6.28006i −0.118561 0.824612i
\(59\) 10.2213 6.56883i 1.33070 0.855189i 0.334509 0.942392i \(-0.391429\pi\)
0.996190 + 0.0872037i \(0.0277931\pi\)
\(60\) −0.654861 + 0.755750i −0.0845422 + 0.0975669i
\(61\) −4.37254 + 9.57452i −0.559846 + 1.22589i 0.392184 + 0.919887i \(0.371720\pi\)
−0.952030 + 0.306005i \(0.901008\pi\)
\(62\) −8.83835 5.68006i −1.12247 0.721368i
\(63\) 1.35970 0.399244i 0.171306 0.0503000i
\(64\) −0.654861 0.755750i −0.0818576 0.0944687i
\(65\) 3.62388 + 1.06407i 0.449487 + 0.131981i
\(66\) −1.68576 3.69129i −0.207502 0.454367i
\(67\) −1.53988 + 10.7101i −0.188126 + 1.30845i 0.648727 + 0.761021i \(0.275302\pi\)
−0.836853 + 0.547427i \(0.815607\pi\)
\(68\) 0.714064 0.0865930
\(69\) 3.45281 3.32838i 0.415670 0.400689i
\(70\) −1.41710 −0.169376
\(71\) −1.76050 + 12.2446i −0.208933 + 1.45316i 0.567713 + 0.823226i \(0.307828\pi\)
−0.776647 + 0.629937i \(0.783081\pi\)
\(72\) 0.415415 + 0.909632i 0.0489571 + 0.107201i
\(73\) −2.26681 0.665597i −0.265310 0.0779022i 0.146372 0.989230i \(-0.453240\pi\)
−0.411682 + 0.911327i \(0.635059\pi\)
\(74\) 1.24849 + 1.44083i 0.145134 + 0.167493i
\(75\) −0.959493 + 0.281733i −0.110793 + 0.0325317i
\(76\) 4.43670 + 2.85130i 0.508925 + 0.327066i
\(77\) 2.38889 5.23094i 0.272239 0.596120i
\(78\) 2.47332 2.85437i 0.280049 0.323193i
\(79\) −6.51708 + 4.18827i −0.733229 + 0.471218i −0.853216 0.521558i \(-0.825351\pi\)
0.119987 + 0.992775i \(0.461715\pi\)
\(80\) −0.142315 0.989821i −0.0159113 0.110665i
\(81\) −0.142315 0.989821i −0.0158128 0.109980i
\(82\) 9.55765 6.14233i 1.05547 0.678307i
\(83\) 11.2250 12.9543i 1.23210 1.42192i 0.359749 0.933049i \(-0.382862\pi\)
0.872355 0.488874i \(-0.162592\pi\)
\(84\) −0.588685 + 1.28904i −0.0642308 + 0.140646i
\(85\) 0.600709 + 0.386052i 0.0651560 + 0.0418732i
\(86\) 1.14523 0.336270i 0.123493 0.0362609i
\(87\) −4.15485 4.79496i −0.445447 0.514073i
\(88\) 3.89363 + 1.14327i 0.415062 + 0.121873i
\(89\) −3.42073 7.49036i −0.362597 0.793976i −0.999730 0.0232229i \(-0.992607\pi\)
0.637133 0.770754i \(-0.280120\pi\)
\(90\) −0.142315 + 0.989821i −0.0150013 + 0.104336i
\(91\) 5.35221 0.561064
\(92\) 0.254308 + 4.78908i 0.0265134 + 0.499297i
\(93\) −10.5062 −1.08944
\(94\) −0.887807 + 6.17483i −0.0915703 + 0.636885i
\(95\) 2.19087 + 4.79733i 0.224778 + 0.492195i
\(96\) −0.959493 0.281733i −0.0979278 0.0287542i
\(97\) 1.48686 + 1.71593i 0.150968 + 0.174226i 0.826196 0.563383i \(-0.190500\pi\)
−0.675228 + 0.737609i \(0.735955\pi\)
\(98\) 4.78962 1.40636i 0.483825 0.142064i
\(99\) −3.41381 2.19392i −0.343101 0.220498i
\(100\) 0.415415 0.909632i 0.0415415 0.0909632i
\(101\) −10.8581 + 12.5309i −1.08042 + 1.24687i −0.113024 + 0.993592i \(0.536054\pi\)
−0.967394 + 0.253276i \(0.918492\pi\)
\(102\) 0.600709 0.386052i 0.0594791 0.0382249i
\(103\) 1.58152 + 10.9997i 0.155832 + 1.08383i 0.906211 + 0.422825i \(0.138962\pi\)
−0.750380 + 0.661007i \(0.770129\pi\)
\(104\) 0.537504 + 3.73843i 0.0527066 + 0.366583i
\(105\) −1.19214 + 0.766143i −0.116341 + 0.0747679i
\(106\) −8.00572 + 9.23910i −0.777585 + 0.897380i
\(107\) 6.22630 13.6337i 0.601919 1.31802i −0.326047 0.945354i \(-0.605717\pi\)
0.927966 0.372665i \(-0.121556\pi\)
\(108\) 0.841254 + 0.540641i 0.0809497 + 0.0520232i
\(109\) −5.32138 + 1.56250i −0.509695 + 0.149660i −0.526461 0.850199i \(-0.676481\pi\)
0.0167654 + 0.999859i \(0.494663\pi\)
\(110\) 2.65743 + 3.06684i 0.253376 + 0.292411i
\(111\) 1.82927 + 0.537121i 0.173626 + 0.0509813i
\(112\) −0.588685 1.28904i −0.0556255 0.121803i
\(113\) −0.667574 + 4.64308i −0.0628001 + 0.436784i 0.934028 + 0.357200i \(0.116268\pi\)
−0.996828 + 0.0795846i \(0.974641\pi\)
\(114\) 5.27392 0.493948
\(115\) −2.37524 + 4.16632i −0.221492 + 0.388512i
\(116\) 6.34463 0.589085
\(117\) 0.537504 3.73843i 0.0496923 0.345618i
\(118\) 5.04733 + 11.0521i 0.464644 + 1.01743i
\(119\) 0.970912 + 0.285086i 0.0890034 + 0.0261337i
\(120\) −0.654861 0.755750i −0.0597803 0.0689902i
\(121\) −5.24595 + 1.54035i −0.476904 + 0.140032i
\(122\) −8.85479 5.69063i −0.801675 0.515205i
\(123\) 4.71961 10.3345i 0.425553 0.931832i
\(124\) 6.88007 7.94003i 0.617849 0.713036i
\(125\) 0.841254 0.540641i 0.0752440 0.0483564i
\(126\) 0.201675 + 1.40268i 0.0179666 + 0.124960i
\(127\) −0.820780 5.70865i −0.0728325 0.506561i −0.993284 0.115704i \(-0.963088\pi\)
0.920451 0.390857i \(-0.127821\pi\)
\(128\) 0.841254 0.540641i 0.0743570 0.0477863i
\(129\) 0.781628 0.902047i 0.0688185 0.0794208i
\(130\) −1.56897 + 3.43556i −0.137608 + 0.301319i
\(131\) 6.96485 + 4.47604i 0.608522 + 0.391073i 0.808303 0.588767i \(-0.200387\pi\)
−0.199781 + 0.979841i \(0.564023\pi\)
\(132\) 3.89363 1.14327i 0.338897 0.0995091i
\(133\) 4.89422 + 5.64823i 0.424383 + 0.489764i
\(134\) −10.3819 3.04842i −0.896864 0.263343i
\(135\) 0.415415 + 0.909632i 0.0357532 + 0.0782887i
\(136\) −0.101622 + 0.706796i −0.00871401 + 0.0606073i
\(137\) 1.82545 0.155958 0.0779792 0.996955i \(-0.475153\pi\)
0.0779792 + 0.996955i \(0.475153\pi\)
\(138\) 2.80311 + 3.89134i 0.238617 + 0.331253i
\(139\) −2.84016 −0.240899 −0.120450 0.992719i \(-0.538434\pi\)
−0.120450 + 0.992719i \(0.538434\pi\)
\(140\) 0.201675 1.40268i 0.0170446 0.118548i
\(141\) 2.59150 + 5.67458i 0.218243 + 0.477886i
\(142\) −11.8694 3.48517i −0.996057 0.292469i
\(143\) −10.0368 11.5830i −0.839316 0.968622i
\(144\) −0.959493 + 0.281733i −0.0799577 + 0.0234777i
\(145\) 5.33745 + 3.43017i 0.443251 + 0.284860i
\(146\) 0.981423 2.14902i 0.0812231 0.177854i
\(147\) 3.26895 3.77257i 0.269618 0.311156i
\(148\) −1.60384 + 1.03073i −0.131835 + 0.0847253i
\(149\) 2.54268 + 17.6847i 0.208304 + 1.44879i 0.778689 + 0.627410i \(0.215885\pi\)
−0.570385 + 0.821377i \(0.693206\pi\)
\(150\) −0.142315 0.989821i −0.0116200 0.0808186i
\(151\) 13.6369 8.76392i 1.10976 0.713198i 0.148517 0.988910i \(-0.452550\pi\)
0.961240 + 0.275712i \(0.0889136\pi\)
\(152\) −3.45368 + 3.98576i −0.280131 + 0.323288i
\(153\) 0.296633 0.649536i 0.0239814 0.0525118i
\(154\) 4.83772 + 3.10901i 0.389834 + 0.250531i
\(155\) 10.0806 2.95993i 0.809693 0.237747i
\(156\) 2.47332 + 2.85437i 0.198024 + 0.228532i
\(157\) −2.64486 0.776601i −0.211083 0.0619795i 0.174482 0.984660i \(-0.444175\pi\)
−0.385564 + 0.922681i \(0.625993\pi\)
\(158\) −3.21817 7.04680i −0.256023 0.560613i
\(159\) −1.73981 + 12.1006i −0.137976 + 0.959643i
\(160\) 1.00000 0.0790569
\(161\) −1.56623 + 6.61324i −0.123436 + 0.521197i
\(162\) 1.00000 0.0785674
\(163\) −2.71703 + 18.8974i −0.212814 + 1.48016i 0.550884 + 0.834582i \(0.314291\pi\)
−0.763698 + 0.645574i \(0.776618\pi\)
\(164\) 4.71961 + 10.3345i 0.368540 + 0.806990i
\(165\) 3.89363 + 1.14327i 0.303119 + 0.0890037i
\(166\) 11.2250 + 12.9543i 0.871229 + 1.00545i
\(167\) −10.5886 + 3.10908i −0.819368 + 0.240588i −0.664444 0.747338i \(-0.731331\pi\)
−0.154924 + 0.987926i \(0.549513\pi\)
\(168\) −1.19214 0.766143i −0.0919757 0.0591092i
\(169\) 0.525390 1.15044i 0.0404146 0.0884956i
\(170\) −0.467613 + 0.539654i −0.0358642 + 0.0413895i
\(171\) 4.43670 2.85130i 0.339283 0.218044i
\(172\) 0.169864 + 1.18143i 0.0129520 + 0.0900832i
\(173\) −0.388336 2.70093i −0.0295246 0.205348i 0.969720 0.244221i \(-0.0785323\pi\)
−0.999244 + 0.0388730i \(0.987623\pi\)
\(174\) 5.33745 3.43017i 0.404631 0.260040i
\(175\) 0.928004 1.07097i 0.0701505 0.0809580i
\(176\) −1.68576 + 3.69129i −0.127069 + 0.278242i
\(177\) 10.2213 + 6.56883i 0.768280 + 0.493743i
\(178\) 7.90094 2.31992i 0.592200 0.173886i
\(179\) 1.59016 + 1.83514i 0.118854 + 0.137165i 0.812058 0.583576i \(-0.198347\pi\)
−0.693204 + 0.720741i \(0.743802\pi\)
\(180\) −0.959493 0.281733i −0.0715164 0.0209991i
\(181\) 2.82229 + 6.17996i 0.209779 + 0.459353i 0.985048 0.172279i \(-0.0551130\pi\)
−0.775269 + 0.631631i \(0.782386\pi\)
\(182\) −0.761698 + 5.29773i −0.0564608 + 0.392694i
\(183\) −10.5257 −0.778083
\(184\) −4.77653 0.429838i −0.352130 0.0316881i
\(185\) −1.90649 −0.140168
\(186\) 1.49518 10.3992i 0.109632 0.762508i
\(187\) −1.20374 2.63582i −0.0880261 0.192750i
\(188\) −5.98563 1.75754i −0.436547 0.128182i
\(189\) 0.928004 + 1.07097i 0.0675024 + 0.0779019i
\(190\) −5.06029 + 1.48584i −0.367112 + 0.107794i
\(191\) 16.3378 + 10.4997i 1.18216 + 0.759729i 0.975783 0.218743i \(-0.0701956\pi\)
0.206379 + 0.978472i \(0.433832\pi\)
\(192\) 0.415415 0.909632i 0.0299800 0.0656470i
\(193\) 1.86365 2.15077i 0.134149 0.154816i −0.684701 0.728825i \(-0.740067\pi\)
0.818849 + 0.574009i \(0.194612\pi\)
\(194\) −1.91006 + 1.22752i −0.137135 + 0.0881311i
\(195\) 0.537504 + 3.73843i 0.0384915 + 0.267714i
\(196\) 0.710411 + 4.94101i 0.0507436 + 0.352930i
\(197\) −6.61652 + 4.25218i −0.471407 + 0.302955i −0.754690 0.656081i \(-0.772213\pi\)
0.283283 + 0.959036i \(0.408576\pi\)
\(198\) 2.65743 3.06684i 0.188855 0.217951i
\(199\) 7.97996 17.4737i 0.565685 1.23868i −0.383379 0.923591i \(-0.625240\pi\)
0.949063 0.315085i \(-0.102033\pi\)
\(200\) 0.841254 + 0.540641i 0.0594856 + 0.0382291i
\(201\) −10.3819 + 3.04842i −0.732286 + 0.215019i
\(202\) −10.8581 12.5309i −0.763971 0.881669i
\(203\) 8.62679 + 2.53305i 0.605482 + 0.177786i
\(204\) 0.296633 + 0.649536i 0.0207685 + 0.0454766i
\(205\) −1.61687 + 11.2456i −0.112927 + 0.785424i
\(206\) −11.1128 −0.774266
\(207\) 4.46195 + 1.75813i 0.310127 + 0.122199i
\(208\) −3.77687 −0.261879
\(209\) 3.04577 21.1838i 0.210680 1.46531i
\(210\) −0.588685 1.28904i −0.0406231 0.0889523i
\(211\) −0.798256 0.234389i −0.0549542 0.0161360i 0.254140 0.967167i \(-0.418208\pi\)
−0.309094 + 0.951031i \(0.600026\pi\)
\(212\) −8.00572 9.23910i −0.549835 0.634544i
\(213\) −11.8694 + 3.48517i −0.813277 + 0.238800i
\(214\) 12.6088 + 8.10320i 0.861922 + 0.553923i
\(215\) −0.495831 + 1.08572i −0.0338154 + 0.0740453i
\(216\) −0.654861 + 0.755750i −0.0445576 + 0.0514222i
\(217\) 12.5248 8.04922i 0.850241 0.546417i
\(218\) −0.789282 5.48958i −0.0534569 0.371801i
\(219\) −0.336221 2.33847i −0.0227197 0.158019i
\(220\) −3.41381 + 2.19392i −0.230159 + 0.147914i
\(221\) 1.76611 2.03820i 0.118801 0.137104i
\(222\) −0.791986 + 1.73421i −0.0531546 + 0.116392i
\(223\) 8.99042 + 5.77779i 0.602043 + 0.386910i 0.805866 0.592098i \(-0.201700\pi\)
−0.203823 + 0.979008i \(0.565337\pi\)
\(224\) 1.35970 0.399244i 0.0908487 0.0266756i
\(225\) −0.654861 0.755750i −0.0436574 0.0503833i
\(226\) −4.50082 1.32156i −0.299390 0.0879088i
\(227\) 6.69886 + 14.6684i 0.444619 + 0.973579i 0.990727 + 0.135865i \(0.0433813\pi\)
−0.546109 + 0.837714i \(0.683891\pi\)
\(228\) −0.750557 + 5.22024i −0.0497069 + 0.345719i
\(229\) 5.24813 0.346806 0.173403 0.984851i \(-0.444524\pi\)
0.173403 + 0.984851i \(0.444524\pi\)
\(230\) −3.78588 2.94399i −0.249634 0.194121i
\(231\) 5.75061 0.378362
\(232\) −0.902936 + 6.28006i −0.0592806 + 0.412306i
\(233\) −8.73917 19.1361i −0.572522 1.25365i −0.945444 0.325785i \(-0.894371\pi\)
0.372922 0.927863i \(-0.378356\pi\)
\(234\) 3.62388 + 1.06407i 0.236900 + 0.0695602i
\(235\) −4.08524 4.71461i −0.266491 0.307548i
\(236\) −11.6579 + 3.42307i −0.758866 + 0.222823i
\(237\) −6.51708 4.18827i −0.423330 0.272058i
\(238\) −0.420359 + 0.920458i −0.0272478 + 0.0596644i
\(239\) 2.10204 2.42588i 0.135969 0.156917i −0.683681 0.729781i \(-0.739622\pi\)
0.819651 + 0.572864i \(0.194168\pi\)
\(240\) 0.841254 0.540641i 0.0543027 0.0348982i
\(241\) 0.643600 + 4.47633i 0.0414579 + 0.288346i 0.999994 + 0.00337589i \(0.00107458\pi\)
−0.958536 + 0.284970i \(0.908016\pi\)
\(242\) −0.778095 5.41177i −0.0500178 0.347882i
\(243\) 0.841254 0.540641i 0.0539664 0.0346821i
\(244\) 6.89287 7.95480i 0.441271 0.509254i
\(245\) −2.07368 + 4.54072i −0.132482 + 0.290096i
\(246\) 9.55765 + 6.14233i 0.609374 + 0.391621i
\(247\) 19.1120 5.61180i 1.21607 0.357071i
\(248\) 6.88007 + 7.94003i 0.436885 + 0.504192i
\(249\) 16.4467 + 4.82919i 1.04227 + 0.306037i
\(250\) 0.415415 + 0.909632i 0.0262732 + 0.0575302i
\(251\) −0.0130087 + 0.0904775i −0.000821102 + 0.00571089i −0.990228 0.139459i \(-0.955464\pi\)
0.989407 + 0.145170i \(0.0463728\pi\)
\(252\) −1.41710 −0.0892690
\(253\) 17.2492 9.01196i 1.08445 0.566577i
\(254\) 5.76736 0.361876
\(255\) −0.101622 + 0.706796i −0.00636381 + 0.0442613i
\(256\) 0.415415 + 0.909632i 0.0259634 + 0.0568520i
\(257\) −24.5989 7.22290i −1.53444 0.450552i −0.598033 0.801471i \(-0.704051\pi\)
−0.936406 + 0.350919i \(0.885869\pi\)
\(258\) 0.781628 + 0.902047i 0.0486620 + 0.0561590i
\(259\) −2.59226 + 0.761155i −0.161075 + 0.0472959i
\(260\) −3.17730 2.04193i −0.197048 0.126635i
\(261\) 2.63566 5.77128i 0.163143 0.357233i
\(262\) −5.42168 + 6.25695i −0.334953 + 0.386556i
\(263\) 2.26320 1.45447i 0.139555 0.0896863i −0.469001 0.883198i \(-0.655386\pi\)
0.608555 + 0.793512i \(0.291749\pi\)
\(264\) 0.577515 + 4.01670i 0.0355436 + 0.247211i
\(265\) −1.73981 12.1006i −0.106876 0.743337i
\(266\) −6.28726 + 4.04058i −0.385497 + 0.247744i
\(267\) 5.39245 6.22321i 0.330012 0.380855i
\(268\) 4.49489 9.84244i 0.274569 0.601223i
\(269\) −9.06953 5.82863i −0.552979 0.355378i 0.234117 0.972208i \(-0.424780\pi\)
−0.787096 + 0.616830i \(0.788416\pi\)
\(270\) −0.959493 + 0.281733i −0.0583929 + 0.0171457i
\(271\) −18.0403 20.8196i −1.09587 1.26470i −0.961807 0.273727i \(-0.911743\pi\)
−0.134062 0.990973i \(-0.542802\pi\)
\(272\) −0.685140 0.201175i −0.0415427 0.0121980i
\(273\) 2.22339 + 4.86854i 0.134565 + 0.294657i
\(274\) −0.259788 + 1.80687i −0.0156944 + 0.109157i
\(275\) −4.05801 −0.244707
\(276\) −4.25066 + 2.22078i −0.255860 + 0.133675i
\(277\) 1.21105 0.0727648 0.0363824 0.999338i \(-0.488417\pi\)
0.0363824 + 0.999338i \(0.488417\pi\)
\(278\) 0.404197 2.81125i 0.0242421 0.168608i
\(279\) −4.36442 9.55674i −0.261291 0.572147i
\(280\) 1.35970 + 0.399244i 0.0812575 + 0.0238594i
\(281\) 19.1395 + 22.0882i 1.14177 + 1.31767i 0.941145 + 0.338004i \(0.109752\pi\)
0.200625 + 0.979668i \(0.435703\pi\)
\(282\) −5.98563 + 1.75754i −0.356439 + 0.104660i
\(283\) −19.2446 12.3677i −1.14397 0.735186i −0.175542 0.984472i \(-0.556168\pi\)
−0.968430 + 0.249286i \(0.919804\pi\)
\(284\) 5.13888 11.2526i 0.304937 0.667718i
\(285\) −3.45368 + 3.98576i −0.204579 + 0.236096i
\(286\) 12.8935 8.28616i 0.762410 0.489971i
\(287\) 2.29127 + 15.9361i 0.135249 + 0.940678i
\(288\) −0.142315 0.989821i −0.00838598 0.0583258i
\(289\) −13.8724 + 8.91523i −0.816021 + 0.524425i
\(290\) −4.15485 + 4.79496i −0.243981 + 0.281569i
\(291\) −0.943199 + 2.06532i −0.0552913 + 0.121071i
\(292\) 1.98747 + 1.27727i 0.116308 + 0.0747466i
\(293\) 22.6294 6.64458i 1.32202 0.388181i 0.456800 0.889570i \(-0.348996\pi\)
0.865222 + 0.501389i \(0.167177\pi\)
\(294\) 3.26895 + 3.77257i 0.190649 + 0.220021i
\(295\) −11.6579 3.42307i −0.678750 0.199299i
\(296\) −0.791986 1.73421i −0.0460332 0.100799i
\(297\) 0.577515 4.01670i 0.0335108 0.233073i
\(298\) −17.8666 −1.03498
\(299\) 14.2988 + 11.1191i 0.826920 + 0.643032i
\(300\) 1.00000 0.0577350
\(301\) −0.240715 + 1.67421i −0.0138746 + 0.0964996i
\(302\) 6.73398 + 14.7454i 0.387497 + 0.848500i
\(303\) −15.9091 4.67133i −0.913953 0.268361i
\(304\) −3.45368 3.98576i −0.198082 0.228599i
\(305\) 10.0993 2.96543i 0.578287 0.169800i
\(306\) 0.600709 + 0.386052i 0.0343402 + 0.0220691i
\(307\) 8.71841 19.0907i 0.497586 1.08956i −0.479661 0.877454i \(-0.659240\pi\)
0.977246 0.212107i \(-0.0680325\pi\)
\(308\) −3.76585 + 4.34602i −0.214579 + 0.247637i
\(309\) −9.34869 + 6.00804i −0.531828 + 0.341785i
\(310\) 1.49518 + 10.3992i 0.0849207 + 0.590636i
\(311\) 0.334808 + 2.32864i 0.0189852 + 0.132045i 0.997110 0.0759753i \(-0.0242070\pi\)
−0.978124 + 0.208021i \(0.933298\pi\)
\(312\) −3.17730 + 2.04193i −0.179879 + 0.115601i
\(313\) −21.7103 + 25.0550i −1.22714 + 1.41619i −0.349451 + 0.936954i \(0.613632\pi\)
−0.877685 + 0.479237i \(0.840913\pi\)
\(314\) 1.14510 2.50742i 0.0646217 0.141502i
\(315\) −1.19214 0.766143i −0.0671696 0.0431673i
\(316\) 7.43307 2.18255i 0.418143 0.122778i
\(317\) −8.30392 9.58324i −0.466395 0.538248i 0.473010 0.881057i \(-0.343167\pi\)
−0.939405 + 0.342808i \(0.888622\pi\)
\(318\) −11.7299 3.44420i −0.657779 0.193141i
\(319\) −10.6955 23.4199i −0.598834 1.31126i
\(320\) −0.142315 + 0.989821i −0.00795564 + 0.0553327i
\(321\) 14.9881 0.836556
\(322\) −6.32303 2.49145i −0.352369 0.138843i
\(323\) 3.76592 0.209541
\(324\) −0.142315 + 0.989821i −0.00790638 + 0.0549901i
\(325\) −1.56897 3.43556i −0.0870307 0.190571i
\(326\) −18.3183 5.37875i −1.01456 0.297901i
\(327\) −3.63188 4.19141i −0.200843 0.231785i
\(328\) −10.9010 + 3.20082i −0.601907 + 0.176736i
\(329\) −7.43697 4.77945i −0.410013 0.263500i
\(330\) −1.68576 + 3.69129i −0.0927979 + 0.203199i
\(331\) 20.3168 23.4469i 1.11671 1.28876i 0.163472 0.986548i \(-0.447731\pi\)
0.953242 0.302208i \(-0.0977237\pi\)
\(332\) −14.4200 + 9.26715i −0.791398 + 0.508601i
\(333\) 0.271322 + 1.88709i 0.0148684 + 0.103412i
\(334\) −1.57053 10.9233i −0.0859354 0.597694i
\(335\) 9.10257 5.84987i 0.497326 0.319612i
\(336\) 0.928004 1.07097i 0.0506268 0.0584264i
\(337\) 3.95785 8.66647i 0.215598 0.472093i −0.770673 0.637231i \(-0.780080\pi\)
0.986270 + 0.165138i \(0.0528070\pi\)
\(338\) 1.06396 + 0.683767i 0.0578719 + 0.0371920i
\(339\) −4.50082 + 1.32156i −0.244451 + 0.0717772i
\(340\) −0.467613 0.539654i −0.0253599 0.0292668i
\(341\) −40.9071 12.0114i −2.21524 0.650454i
\(342\) 2.19087 + 4.79733i 0.118468 + 0.259410i
\(343\) −2.41845 + 16.8207i −0.130584 + 0.908230i
\(344\) −1.19358 −0.0643535
\(345\) −4.77653 0.429838i −0.257160 0.0231417i
\(346\) 2.72871 0.146696
\(347\) 3.83443 26.6690i 0.205843 1.43167i −0.580692 0.814123i \(-0.697218\pi\)
0.786535 0.617546i \(-0.211873\pi\)
\(348\) 2.63566 + 5.77128i 0.141286 + 0.309373i
\(349\) −27.8893 8.18904i −1.49288 0.438349i −0.569421 0.822046i \(-0.692832\pi\)
−0.923459 + 0.383697i \(0.874651\pi\)
\(350\) 0.928004 + 1.07097i 0.0496039 + 0.0572460i
\(351\) 3.62388 1.06407i 0.193428 0.0567957i
\(352\) −3.41381 2.19392i −0.181957 0.116937i
\(353\) −3.95418 + 8.65845i −0.210460 + 0.460843i −0.985194 0.171445i \(-0.945157\pi\)
0.774734 + 0.632287i \(0.217884\pi\)
\(354\) −7.95661 + 9.18242i −0.422889 + 0.488040i
\(355\) 10.4067 6.68799i 0.552331 0.354962i
\(356\) 1.17189 + 8.15068i 0.0621101 + 0.431985i
\(357\) 0.144009 + 1.00160i 0.00762174 + 0.0530104i
\(358\) −2.04276 + 1.31280i −0.107963 + 0.0693838i
\(359\) −15.7334 + 18.1573i −0.830377 + 0.958306i −0.999628 0.0272665i \(-0.991320\pi\)
0.169251 + 0.985573i \(0.445865\pi\)
\(360\) 0.415415 0.909632i 0.0218943 0.0479418i
\(361\) 7.41501 + 4.76534i 0.390264 + 0.250807i
\(362\) −6.51871 + 1.91407i −0.342616 + 0.100601i
\(363\) −3.58040 4.13200i −0.187922 0.216874i
\(364\) −5.13540 1.50789i −0.269168 0.0790349i
\(365\) 0.981423 + 2.14902i 0.0513700 + 0.112485i
\(366\) 1.49796 10.4186i 0.0782999 0.544587i
\(367\) 13.0566 0.681548 0.340774 0.940145i \(-0.389311\pi\)
0.340774 + 0.940145i \(0.389311\pi\)
\(368\) 1.10523 4.66674i 0.0576143 0.243271i
\(369\) 11.3612 0.591441
\(370\) 0.271322 1.88709i 0.0141054 0.0981050i
\(371\) −7.19672 15.7586i −0.373635 0.818147i
\(372\) 10.0806 + 2.95993i 0.522654 + 0.153465i
\(373\) −0.111637 0.128836i −0.00578035 0.00667088i 0.752852 0.658190i \(-0.228678\pi\)
−0.758632 + 0.651519i \(0.774132\pi\)
\(374\) 2.78030 0.816370i 0.143766 0.0422135i
\(375\) 0.841254 + 0.540641i 0.0434421 + 0.0279186i
\(376\) 2.59150 5.67458i 0.133646 0.292644i
\(377\) 15.6923 18.1099i 0.808196 0.932708i
\(378\) −1.19214 + 0.766143i −0.0613171 + 0.0394061i
\(379\) 1.27004 + 8.83332i 0.0652375 + 0.453737i 0.996090 + 0.0883422i \(0.0281569\pi\)
−0.930853 + 0.365395i \(0.880934\pi\)
\(380\) −0.750557 5.22024i −0.0385028 0.267793i
\(381\) 4.85181 3.11807i 0.248566 0.159743i
\(382\) −12.7179 + 14.6772i −0.650705 + 0.750953i
\(383\) 8.79040 19.2483i 0.449169 0.983542i −0.540655 0.841244i \(-0.681824\pi\)
0.989824 0.142298i \(-0.0454490\pi\)
\(384\) 0.841254 + 0.540641i 0.0429300 + 0.0275895i
\(385\) −5.51767 + 1.62013i −0.281206 + 0.0825696i
\(386\) 1.86365 + 2.15077i 0.0948574 + 0.109471i
\(387\) 1.14523 + 0.336270i 0.0582153 + 0.0170936i
\(388\) −0.943199 2.06532i −0.0478837 0.104851i
\(389\) −2.78719 + 19.3853i −0.141316 + 0.982876i 0.788548 + 0.614973i \(0.210833\pi\)
−0.929864 + 0.367903i \(0.880076\pi\)
\(390\) −3.77687 −0.191249
\(391\) 2.00160 + 2.77867i 0.101225 + 0.140523i
\(392\) −4.99182 −0.252125
\(393\) −1.17824 + 8.19486i −0.0594345 + 0.413376i
\(394\) −3.26727 7.15432i −0.164603 0.360429i
\(395\) 7.43307 + 2.18255i 0.373998 + 0.109816i
\(396\) 2.65743 + 3.06684i 0.133541 + 0.154114i
\(397\) −2.26408 + 0.664794i −0.113631 + 0.0333651i −0.338054 0.941127i \(-0.609769\pi\)
0.224423 + 0.974492i \(0.427950\pi\)
\(398\) 16.1602 + 10.3855i 0.810036 + 0.520578i
\(399\) −3.10468 + 6.79830i −0.155428 + 0.340341i
\(400\) −0.654861 + 0.755750i −0.0327430 + 0.0377875i
\(401\) −27.3245 + 17.5604i −1.36452 + 0.876925i −0.998557 0.0537030i \(-0.982898\pi\)
−0.365966 + 0.930628i \(0.619261\pi\)
\(402\) −1.53988 10.7101i −0.0768023 0.534172i
\(403\) −5.64711 39.2765i −0.281303 1.95650i
\(404\) 13.9486 8.96421i 0.693968 0.445986i
\(405\) −0.654861 + 0.755750i −0.0325403 + 0.0375535i
\(406\) −3.73499 + 8.17849i −0.185365 + 0.405892i
\(407\) 6.50841 + 4.18270i 0.322610 + 0.207329i
\(408\) −0.685140 + 0.201175i −0.0339195 + 0.00995965i
\(409\) 12.8845 + 14.8695i 0.637095 + 0.735247i 0.978858 0.204539i \(-0.0655695\pi\)
−0.341763 + 0.939786i \(0.611024\pi\)
\(410\) −10.9010 3.20082i −0.538362 0.158077i
\(411\) 0.758318 + 1.66048i 0.0374051 + 0.0819057i
\(412\) 1.58152 10.9997i 0.0779158 0.541916i
\(413\) −17.2179 −0.847237
\(414\) −2.37524 + 4.16632i −0.116737 + 0.204764i
\(415\) −17.1410 −0.841421
\(416\) 0.537504 3.73843i 0.0263533 0.183291i
\(417\) −1.17985 2.58350i −0.0577773 0.126515i
\(418\) 20.5347 + 6.02953i 1.00438 + 0.294914i
\(419\) −5.13772 5.92925i −0.250994 0.289663i 0.616245 0.787554i \(-0.288653\pi\)
−0.867239 + 0.497892i \(0.834108\pi\)
\(420\) 1.35970 0.399244i 0.0663465 0.0194811i
\(421\) −22.7087 14.5940i −1.10675 0.711268i −0.146171 0.989259i \(-0.546695\pi\)
−0.960584 + 0.277991i \(0.910331\pi\)
\(422\) 0.345607 0.756774i 0.0168239 0.0368392i
\(423\) −4.08524 + 4.71461i −0.198631 + 0.229232i
\(424\) 10.2844 6.60938i 0.499454 0.320980i
\(425\) −0.101622 0.706796i −0.00492939 0.0342846i
\(426\) −1.76050 12.2446i −0.0852967 0.593251i
\(427\) 12.5481 8.06420i 0.607247 0.390254i
\(428\) −9.81515 + 11.3273i −0.474433 + 0.547525i
\(429\) 6.36688 13.9415i 0.307396 0.673103i
\(430\) −1.00410 0.645298i −0.0484221 0.0311190i
\(431\) 17.5620 5.15666i 0.845931 0.248388i 0.170084 0.985430i \(-0.445596\pi\)
0.675847 + 0.737042i \(0.263778\pi\)
\(432\) −0.654861 0.755750i −0.0315070 0.0363610i
\(433\) −23.7125 6.96261i −1.13955 0.334602i −0.343095 0.939301i \(-0.611475\pi\)
−0.796454 + 0.604699i \(0.793293\pi\)
\(434\) 6.18482 + 13.5429i 0.296881 + 0.650079i
\(435\) −0.902936 + 6.28006i −0.0432925 + 0.301106i
\(436\) 5.54603 0.265607
\(437\) 1.34120 + 25.2573i 0.0641582 + 1.20822i
\(438\) 2.36251 0.112885
\(439\) −0.849097 + 5.90560i −0.0405252 + 0.281859i 0.959475 + 0.281794i \(0.0909296\pi\)
−1.00000 6.45386e-5i \(0.999979\pi\)
\(440\) −1.68576 3.69129i −0.0803653 0.175975i
\(441\) 4.78962 + 1.40636i 0.228077 + 0.0669695i
\(442\) 1.76611 + 2.03820i 0.0840053 + 0.0969473i
\(443\) −23.5065 + 6.90213i −1.11683 + 0.327930i −0.787518 0.616292i \(-0.788634\pi\)
−0.329310 + 0.944222i \(0.606816\pi\)
\(444\) −1.60384 1.03073i −0.0761151 0.0489162i
\(445\) −3.42073 + 7.49036i −0.162158 + 0.355077i
\(446\) −6.99846 + 8.07665i −0.331386 + 0.382440i
\(447\) −15.0303 + 9.65939i −0.710909 + 0.456873i
\(448\) 0.201675 + 1.40268i 0.00952823 + 0.0662703i
\(449\) −1.45278 10.1043i −0.0685609 0.476852i −0.994957 0.100301i \(-0.968019\pi\)
0.926396 0.376550i \(-0.122890\pi\)
\(450\) 0.841254 0.540641i 0.0396571 0.0254861i
\(451\) 30.1916 34.8430i 1.42167 1.64069i
\(452\) 1.94864 4.26693i 0.0916563 0.200699i
\(453\) 13.6369 + 8.76392i 0.640719 + 0.411765i
\(454\) −15.4725 + 4.54313i −0.726160 + 0.213220i
\(455\) −3.50495 4.04493i −0.164315 0.189629i
\(456\) −5.06029 1.48584i −0.236970 0.0695806i
\(457\) 1.95891 + 4.28942i 0.0916340 + 0.200651i 0.949900 0.312555i \(-0.101185\pi\)
−0.858266 + 0.513206i \(0.828458\pi\)
\(458\) −0.746887 + 5.19471i −0.0348997 + 0.242733i
\(459\) 0.714064 0.0333297
\(460\) 3.45281 3.32838i 0.160988 0.155186i
\(461\) 9.58668 0.446496 0.223248 0.974762i \(-0.428334\pi\)
0.223248 + 0.974762i \(0.428334\pi\)
\(462\) −0.818397 + 5.69207i −0.0380753 + 0.264819i
\(463\) −6.74867 14.7775i −0.313637 0.686770i 0.685510 0.728063i \(-0.259579\pi\)
−0.999147 + 0.0412937i \(0.986852\pi\)
\(464\) −6.08763 1.78749i −0.282611 0.0829821i
\(465\) 6.88007 + 7.94003i 0.319056 + 0.368210i
\(466\) 20.1850 5.92686i 0.935054 0.274557i
\(467\) 21.6105 + 13.8882i 1.00001 + 0.642670i 0.934790 0.355201i \(-0.115588\pi\)
0.0652238 + 0.997871i \(0.479224\pi\)
\(468\) −1.56897 + 3.43556i −0.0725256 + 0.158809i
\(469\) 10.0412 11.5882i 0.463661 0.535093i
\(470\) 5.24802 3.37270i 0.242073 0.155571i
\(471\) −0.392293 2.72846i −0.0180759 0.125721i
\(472\) −1.72914 12.0264i −0.0795900 0.553560i
\(473\) 4.07465 2.61862i 0.187353 0.120404i
\(474\) 5.07312 5.85469i 0.233016 0.268915i
\(475\) 2.19087 4.79733i 0.100524 0.220116i
\(476\) −0.851266 0.547075i −0.0390177 0.0250751i
\(477\) −11.7299 + 3.44420i −0.537074 + 0.157699i
\(478\) 2.10204 + 2.42588i 0.0961449 + 0.110957i
\(479\) −17.7817 5.22117i −0.812465 0.238561i −0.150997 0.988534i \(-0.548248\pi\)
−0.661468 + 0.749973i \(0.730066\pi\)
\(480\) 0.415415 + 0.909632i 0.0189610 + 0.0415188i
\(481\) −1.02475 + 7.12728i −0.0467245 + 0.324976i
\(482\) −4.52236 −0.205988
\(483\) −6.66625 + 1.32255i −0.303325 + 0.0601780i
\(484\) 5.46742 0.248519
\(485\) 0.323125 2.24739i 0.0146724 0.102049i
\(486\) 0.415415 + 0.909632i 0.0188436 + 0.0412617i
\(487\) −16.4244 4.82265i −0.744263 0.218535i −0.112451 0.993657i \(-0.535870\pi\)
−0.631812 + 0.775122i \(0.717688\pi\)
\(488\) 6.89287 + 7.95480i 0.312026 + 0.360097i
\(489\) −18.3183 + 5.37875i −0.828384 + 0.243236i
\(490\) −4.19939 2.69878i −0.189709 0.121919i
\(491\) −1.94137 + 4.25100i −0.0876126 + 0.191845i −0.948367 0.317176i \(-0.897265\pi\)
0.860754 + 0.509021i \(0.169993\pi\)
\(492\) −7.44001 + 8.58623i −0.335421 + 0.387097i
\(493\) 3.81128 2.44936i 0.171651 0.110314i
\(494\) 2.83476 + 19.7162i 0.127542 + 0.887072i
\(495\) 0.577515 + 4.01670i 0.0259573 + 0.180537i
\(496\) −8.83835 + 5.68006i −0.396854 + 0.255042i
\(497\) 11.4799 13.2485i 0.514942 0.594275i
\(498\) −7.12065 + 15.5920i −0.319084 + 0.698696i
\(499\) −10.8612 6.98007i −0.486214 0.312471i 0.274467 0.961597i \(-0.411499\pi\)
−0.760681 + 0.649126i \(0.775135\pi\)
\(500\) −0.959493 + 0.281733i −0.0429098 + 0.0125995i
\(501\) −7.22677 8.34014i −0.322868 0.372610i
\(502\) −0.0877053 0.0257526i −0.00391448 0.00114939i
\(503\) 6.61485 + 14.4845i 0.294941 + 0.645832i 0.997856 0.0654422i \(-0.0208458\pi\)
−0.702915 + 0.711274i \(0.748119\pi\)
\(504\) 0.201675 1.40268i 0.00898330 0.0624802i
\(505\) 16.5807 0.737832
\(506\) 6.46541 + 18.3562i 0.287422 + 0.816031i
\(507\) 1.26473 0.0561688
\(508\) −0.820780 + 5.70865i −0.0364162 + 0.253281i
\(509\) 5.41142 + 11.8494i 0.239857 + 0.525214i 0.990829 0.135120i \(-0.0431420\pi\)
−0.750972 + 0.660334i \(0.770415\pi\)
\(510\) −0.685140 0.201175i −0.0303385 0.00890818i
\(511\) 2.19242 + 2.53019i 0.0969870 + 0.111929i
\(512\) −0.959493 + 0.281733i −0.0424040 + 0.0124509i
\(513\) 4.43670 + 2.85130i 0.195885 + 0.125888i
\(514\) 10.6502 23.3206i 0.469759 1.02863i
\(515\) 7.27734 8.39850i 0.320678 0.370082i
\(516\) −1.00410 + 0.645298i −0.0442032 + 0.0284076i
\(517\) 3.60273 + 25.0575i 0.158448 + 1.10203i
\(518\) −0.384491 2.67419i −0.0168936 0.117497i
\(519\) 2.29553 1.47525i 0.100763 0.0647563i
\(520\) 2.47332 2.85437i 0.108462 0.125172i
\(521\) −1.09982 + 2.40827i −0.0481841 + 0.105508i −0.932193 0.361962i \(-0.882107\pi\)
0.884009 + 0.467470i \(0.154834\pi\)
\(522\) 5.33745 + 3.43017i 0.233614 + 0.150134i
\(523\) 0.221422 0.0650154i 0.00968212 0.00284293i −0.276888 0.960902i \(-0.589303\pi\)
0.286570 + 0.958059i \(0.407485\pi\)
\(524\) −5.42168 6.25695i −0.236847 0.273336i
\(525\) 1.35970 + 0.399244i 0.0593421 + 0.0174244i
\(526\) 1.11758 + 2.44715i 0.0487287 + 0.106701i
\(527\) 1.06766 7.42572i 0.0465079 0.323469i
\(528\) −4.05801 −0.176602
\(529\) −17.9231 + 14.4139i −0.779266 + 0.626693i
\(530\) 12.2251 0.531023
\(531\) −1.72914 + 12.0264i −0.0750381 + 0.521902i
\(532\) −3.10468 6.79830i −0.134605 0.294744i
\(533\) 41.1716 + 12.0891i 1.78334 + 0.523636i
\(534\) 5.39245 + 6.22321i 0.233354 + 0.269305i
\(535\) −14.3810 + 4.22265i −0.621746 + 0.182561i
\(536\) 9.10257 + 5.84987i 0.393171 + 0.252676i
\(537\) −1.00873 + 2.20880i −0.0435297 + 0.0953168i
\(538\) 7.06003 8.14771i 0.304380 0.351273i
\(539\) 17.0412 10.9517i 0.734014 0.471722i
\(540\) −0.142315 0.989821i −0.00612426 0.0425951i
\(541\) −1.92186 13.3668i −0.0826270 0.574683i −0.988510 0.151155i \(-0.951701\pi\)
0.905883 0.423528i \(-0.139208\pi\)
\(542\) 23.1751 14.8937i 0.995455 0.639740i
\(543\) −4.44906 + 5.13449i −0.190928 + 0.220342i
\(544\) 0.296633 0.649536i 0.0127180 0.0278486i
\(545\) 4.66562 + 2.99841i 0.199853 + 0.128438i
\(546\) −5.13540 + 1.50789i −0.219775 + 0.0645318i
\(547\) 25.4593 + 29.3816i 1.08856 + 1.25627i 0.964525 + 0.263990i \(0.0850387\pi\)
0.124037 + 0.992278i \(0.460416\pi\)
\(548\) −1.75150 0.514288i −0.0748205 0.0219693i
\(549\) −4.37254 9.57452i −0.186615 0.408631i
\(550\) 0.577515 4.01670i 0.0246253 0.171273i
\(551\) 33.4611 1.42549
\(552\) −1.59325 4.52345i −0.0678131 0.192531i
\(553\) 10.9781 0.466836
\(554\) −0.172350 + 1.19872i −0.00732246 + 0.0509288i
\(555\) −0.791986 1.73421i −0.0336179 0.0736130i
\(556\) 2.72511 + 0.800165i 0.115571 + 0.0339346i
\(557\) 6.25564 + 7.21939i 0.265060 + 0.305895i 0.872641 0.488362i \(-0.162405\pi\)
−0.607581 + 0.794258i \(0.707860\pi\)
\(558\) 10.0806 2.95993i 0.426745 0.125304i
\(559\) 3.79236 + 2.43720i 0.160400 + 0.103083i
\(560\) −0.588685 + 1.28904i −0.0248765 + 0.0544719i
\(561\) 1.89758 2.18992i 0.0801157 0.0924584i
\(562\) −24.5872 + 15.8012i −1.03715 + 0.666535i
\(563\) 1.58100 + 10.9961i 0.0666314 + 0.463431i 0.995633 + 0.0933554i \(0.0297593\pi\)
−0.929001 + 0.370076i \(0.879332\pi\)
\(564\) −0.887807 6.17483i −0.0373834 0.260007i
\(565\) 3.94618 2.53605i 0.166017 0.106693i
\(566\) 14.9806 17.2886i 0.629684 0.726694i
\(567\) −0.588685 + 1.28904i −0.0247225 + 0.0541346i
\(568\) 10.4067 + 6.68799i 0.436656 + 0.280622i
\(569\) −30.0764 + 8.83122i −1.26087 + 0.370224i −0.842817 0.538200i \(-0.819104\pi\)
−0.418050 + 0.908424i \(0.637286\pi\)
\(570\) −3.45368 3.98576i −0.144659 0.166945i
\(571\) 11.4986 + 3.37629i 0.481201 + 0.141293i 0.513332 0.858190i \(-0.328411\pi\)
−0.0321306 + 0.999484i \(0.510229\pi\)
\(572\) 6.36688 + 13.9415i 0.266213 + 0.582925i
\(573\) −2.76387 + 19.2231i −0.115462 + 0.803057i
\(574\) −16.1000 −0.672000
\(575\) 4.70415 0.933277i 0.196176 0.0389203i
\(576\) 1.00000 0.0416667
\(577\) −2.08892 + 14.5288i −0.0869628 + 0.604840i 0.899009 + 0.437930i \(0.144288\pi\)
−0.985972 + 0.166910i \(0.946621\pi\)
\(578\) −6.85024 14.9999i −0.284932 0.623915i
\(579\) 2.73060 + 0.801776i 0.113480 + 0.0333207i
\(580\) −4.15485 4.79496i −0.172521 0.199100i
\(581\) −23.3067 + 6.84345i −0.966923 + 0.283914i
\(582\) −1.91006 1.22752i −0.0791747 0.0508825i
\(583\) −20.6085 + 45.1263i −0.853517 + 1.86894i
\(584\) −1.54712 + 1.78547i −0.0640201 + 0.0738832i
\(585\) −3.17730 + 2.04193i −0.131365 + 0.0844234i
\(586\) 3.35645 + 23.3447i 0.138654 + 0.964359i
\(587\) 5.43721 + 37.8166i 0.224417 + 1.56086i 0.721041 + 0.692892i \(0.243664\pi\)
−0.496624 + 0.867966i \(0.665427\pi\)
\(588\) −4.19939 + 2.69878i −0.173180 + 0.111296i
\(589\) 36.2850 41.8751i 1.49510 1.72543i
\(590\) 5.04733 11.0521i 0.207795 0.455008i
\(591\) −6.61652 4.25218i −0.272167 0.174911i
\(592\) 1.82927 0.537121i 0.0751824 0.0220755i
\(593\) −9.51998 10.9866i −0.390939 0.451167i 0.525828 0.850591i \(-0.323756\pi\)
−0.916766 + 0.399424i \(0.869210\pi\)
\(594\) 3.89363 + 1.14327i 0.159758 + 0.0469090i
\(595\) −0.420359 0.920458i −0.0172330 0.0377351i
\(596\) 2.54268 17.6847i 0.104152 0.724394i
\(597\) 19.2096 0.786197
\(598\) −13.0408 + 12.5708i −0.533279 + 0.514060i
\(599\) 22.2124 0.907573 0.453787 0.891110i \(-0.350073\pi\)
0.453787 + 0.891110i \(0.350073\pi\)
\(600\) −0.142315 + 0.989821i −0.00580998 + 0.0404093i
\(601\) −14.8989 32.6241i −0.607740 1.33077i −0.924109 0.382129i \(-0.875191\pi\)
0.316369 0.948636i \(-0.397536\pi\)
\(602\) −1.62291 0.476529i −0.0661448 0.0194219i
\(603\) −7.08575 8.17740i −0.288554 0.333009i
\(604\) −15.5536 + 4.56695i −0.632868 + 0.185827i
\(605\) 4.59948 + 2.95591i 0.186996 + 0.120175i
\(606\) 6.88788 15.0824i 0.279801 0.612679i
\(607\) −24.0284 + 27.7303i −0.975283 + 1.12554i 0.0167883 + 0.999859i \(0.494656\pi\)
−0.992071 + 0.125677i \(0.959890\pi\)
\(608\) 4.43670 2.85130i 0.179932 0.115635i
\(609\) 1.27955 + 8.89948i 0.0518500 + 0.360625i
\(610\) 1.49796 + 10.4186i 0.0606508 + 0.421836i
\(611\) −19.8211 + 12.7382i −0.801874 + 0.515333i
\(612\) −0.467613 + 0.539654i −0.0189021 + 0.0218142i
\(613\) 8.80916 19.2894i 0.355799 0.779090i −0.644101 0.764940i \(-0.722768\pi\)
0.999900 0.0141502i \(-0.00450429\pi\)
\(614\) 17.6556 + 11.3466i 0.712521 + 0.457910i
\(615\) −10.9010 + 3.20082i −0.439571 + 0.129070i
\(616\) −3.76585 4.34602i −0.151730 0.175106i
\(617\) 1.46014 + 0.428735i 0.0587829 + 0.0172602i 0.310992 0.950413i \(-0.399339\pi\)
−0.252209 + 0.967673i \(0.581157\pi\)
\(618\) −4.61643 10.1086i −0.185700 0.406626i
\(619\) −1.85317 + 12.8891i −0.0744854 + 0.518057i 0.918085 + 0.396384i \(0.129735\pi\)
−0.992570 + 0.121673i \(0.961174\pi\)
\(620\) −10.5062 −0.421938
\(621\) 0.254308 + 4.78908i 0.0102050 + 0.192179i
\(622\) −2.35259 −0.0943302
\(623\) −1.66069 + 11.5503i −0.0665341 + 0.462754i
\(624\) −1.56897 3.43556i −0.0628090 0.137532i
\(625\) −0.959493 0.281733i −0.0383797 0.0112693i
\(626\) −21.7103 25.0550i −0.867717 1.00140i
\(627\) 20.5347 6.02953i 0.820077 0.240796i
\(628\) 2.31893 + 1.49029i 0.0925354 + 0.0594689i
\(629\) −0.565529 + 1.23834i −0.0225491 + 0.0493757i
\(630\) 0.928004 1.07097i 0.0369726 0.0426686i
\(631\) −23.1084 + 14.8509i −0.919930 + 0.591203i −0.912637 0.408770i \(-0.865958\pi\)
−0.00729265 + 0.999973i \(0.502321\pi\)
\(632\) 1.10249 + 7.66802i 0.0438549 + 0.305017i
\(633\) −0.118400 0.823488i −0.00470596 0.0327307i
\(634\) 10.6675 6.85557i 0.423659 0.272269i
\(635\) −3.77682 + 4.35868i −0.149878 + 0.172969i
\(636\) 5.07848 11.1203i 0.201375 0.440949i
\(637\) 15.8605 + 10.1930i 0.628418 + 0.403859i
\(638\) 24.7037 7.25365i 0.978027 0.287175i
\(639\) −8.10094 9.34899i −0.320468 0.369840i
\(640\) −0.959493 0.281733i −0.0379273 0.0111365i
\(641\) −0.0353686 0.0774463i −0.00139697 0.00305895i 0.908932 0.416944i \(-0.136899\pi\)
−0.910329 + 0.413885i \(0.864172\pi\)
\(642\) −2.13303 + 14.8356i −0.0841842 + 0.585514i
\(643\) −21.2929 −0.839708 −0.419854 0.907592i \(-0.637919\pi\)
−0.419854 + 0.907592i \(0.637919\pi\)
\(644\) 3.36595 5.90410i 0.132637 0.232654i
\(645\) −1.19358 −0.0469971
\(646\) −0.535946 + 3.72759i −0.0210865 + 0.146660i
\(647\) −8.30915 18.1945i −0.326666 0.715300i 0.673038 0.739608i \(-0.264989\pi\)
−0.999705 + 0.0243082i \(0.992262\pi\)
\(648\) −0.959493 0.281733i −0.0376924 0.0110675i
\(649\) 32.2880 + 37.2623i 1.26741 + 1.46267i
\(650\) 3.62388 1.06407i 0.142140 0.0417361i
\(651\) 12.5248 + 8.04922i 0.490887 + 0.315474i
\(652\) 7.93098 17.3664i 0.310601 0.680121i
\(653\) 20.8583 24.0718i 0.816250 0.942002i −0.182904 0.983131i \(-0.558550\pi\)
0.999154 + 0.0411283i \(0.0130952\pi\)
\(654\) 4.66562 2.99841i 0.182440 0.117247i
\(655\) −1.17824 8.19486i −0.0460378 0.320200i
\(656\) −1.61687 11.2456i −0.0631281 0.439065i
\(657\) 1.98747 1.27727i 0.0775387 0.0498311i
\(658\) 5.78919 6.68109i 0.225686 0.260456i
\(659\) −8.86826 + 19.4188i −0.345458 + 0.756448i 0.654542 + 0.756026i \(0.272862\pi\)
−1.00000 0.000422106i \(0.999866\pi\)
\(660\) −3.41381 2.19392i −0.132882 0.0853984i
\(661\) 11.8204 3.47079i 0.459762 0.134998i −0.0436462 0.999047i \(-0.513897\pi\)
0.503408 + 0.864049i \(0.332079\pi\)
\(662\) 20.3168 + 23.4469i 0.789636 + 0.911288i
\(663\) 2.58768 + 0.759812i 0.100497 + 0.0295087i
\(664\) −7.12065 15.5920i −0.276335 0.605089i
\(665\) 1.06362 7.39761i 0.0412452 0.286867i
\(666\) −1.90649 −0.0738751
\(667\) 17.7847 + 24.6892i 0.688627 + 0.955968i
\(668\) 11.0356 0.426980
\(669\) −1.52091 + 10.5782i −0.0588018 + 0.408975i
\(670\) 4.49489 + 9.84244i 0.173653 + 0.380247i
\(671\) −40.9832 12.0338i −1.58214 0.464558i
\(672\) 0.928004 + 1.07097i 0.0357985 + 0.0413137i
\(673\) 1.80276 0.529339i 0.0694914 0.0204045i −0.246802 0.969066i \(-0.579380\pi\)
0.316293 + 0.948661i \(0.397562\pi\)
\(674\) 8.01500 + 5.15093i 0.308726 + 0.198406i
\(675\) 0.415415 0.909632i 0.0159893 0.0350118i
\(676\) −0.828225 + 0.955823i −0.0318548 + 0.0367624i
\(677\) −11.4947 + 7.38722i −0.441779 + 0.283914i −0.742560 0.669779i \(-0.766389\pi\)
0.300782 + 0.953693i \(0.402752\pi\)
\(678\) −0.667574 4.64308i −0.0256380 0.178316i
\(679\) −0.457902 3.18477i −0.0175726 0.122220i
\(680\) 0.600709 0.386052i 0.0230361 0.0148044i
\(681\) −10.5601 + 12.1870i −0.404663 + 0.467006i
\(682\) 17.7108 38.7813i 0.678183 1.48501i
\(683\) −12.7842 8.21593i −0.489175 0.314374i 0.272698 0.962100i \(-0.412084\pi\)
−0.761874 + 0.647726i \(0.775720\pi\)
\(684\) −5.06029 + 1.48584i −0.193485 + 0.0568123i
\(685\) −1.19541 1.37958i −0.0456744 0.0527111i
\(686\) −16.3053 4.78766i −0.622538 0.182794i
\(687\) 2.18015 + 4.77387i 0.0831780 + 0.182134i
\(688\) 0.169864 1.18143i 0.00647600 0.0450416i
\(689\) −46.1725 −1.75903
\(690\) 1.10523 4.66674i 0.0420756 0.177660i
\(691\) −10.1343 −0.385527 −0.192763 0.981245i \(-0.561745\pi\)
−0.192763 + 0.981245i \(0.561745\pi\)
\(692\) −0.388336 + 2.70093i −0.0147623 + 0.102674i
\(693\) 2.38889 + 5.23094i 0.0907464 + 0.198707i
\(694\) 25.8519 + 7.59080i 0.981324 + 0.288143i
\(695\) 1.85991 + 2.14645i 0.0705504 + 0.0814195i
\(696\) −6.08763 + 1.78749i −0.230751 + 0.0677546i
\(697\) 6.82478 + 4.38602i 0.258507 + 0.166132i
\(698\) 12.0747 26.4400i 0.457036 1.00077i
\(699\) 13.7764 15.8989i 0.521073 0.601350i
\(700\) −1.19214 + 0.766143i −0.0450587 + 0.0289575i
\(701\) 0.499188 + 3.47193i 0.0188541 + 0.131133i 0.997075 0.0764358i \(-0.0243540\pi\)
−0.978220 + 0.207569i \(0.933445\pi\)
\(702\) 0.537504 + 3.73843i 0.0202868 + 0.141098i
\(703\) −8.45855 + 5.43598i −0.319020 + 0.205022i
\(704\) 2.65743 3.06684i 0.100156 0.115586i
\(705\) 2.59150 5.67458i 0.0976014 0.213717i
\(706\) −8.00758 5.14616i −0.301369 0.193678i
\(707\) 22.5448 6.61975i 0.847884 0.248961i
\(708\) −7.95661 9.18242i −0.299028 0.345096i
\(709\) 27.7501 + 8.14817i 1.04218 + 0.306011i 0.757653 0.652658i \(-0.226346\pi\)
0.284525 + 0.958669i \(0.408164\pi\)
\(710\) 5.13888 + 11.2526i 0.192859 + 0.422302i
\(711\) 1.10249 7.66802i 0.0413468 0.287573i
\(712\) −8.23449 −0.308601
\(713\) 50.1830 + 4.51595i 1.87937 + 0.169124i
\(714\) −1.01190 −0.0378695
\(715\) −2.18120 + 15.1706i −0.0815721 + 0.567347i
\(716\) −1.00873 2.20880i −0.0376979 0.0825468i
\(717\) 3.07987 + 0.904333i 0.115020 + 0.0337729i
\(718\) −15.7334 18.1573i −0.587165 0.677625i
\(719\) −6.98501 + 2.05098i −0.260497 + 0.0764888i −0.409373 0.912367i \(-0.634253\pi\)
0.148876 + 0.988856i \(0.452434\pi\)
\(720\) 0.841254 + 0.540641i 0.0313517 + 0.0201485i
\(721\) 6.54194 14.3249i 0.243635 0.533486i
\(722\) −5.77210 + 6.66136i −0.214815 + 0.247910i
\(723\) −3.80446 + 2.44497i −0.141489 + 0.0909296i
\(724\) −0.966874 6.72476i −0.0359336 0.249924i
\(725\) −0.902936 6.28006i −0.0335342 0.233235i
\(726\) 4.59948 2.95591i 0.170703 0.109704i
\(727\) 17.7978 20.5398i 0.660084 0.761778i −0.322707 0.946499i \(-0.604593\pi\)
0.982791 + 0.184721i \(0.0591383\pi\)
\(728\) 2.22339 4.86854i 0.0824042 0.180440i
\(729\) 0.841254 + 0.540641i 0.0311575 + 0.0200237i
\(730\) −2.26681 + 0.665597i −0.0838985 + 0.0246348i
\(731\) 0.558133 + 0.644119i 0.0206433 + 0.0238236i
\(732\) 10.0993 + 2.96543i 0.373282 + 0.109606i
\(733\) 0.166065 + 0.363632i 0.00613376 + 0.0134311i 0.912674 0.408688i \(-0.134014\pi\)
−0.906540 + 0.422119i \(0.861286\pi\)
\(734\) −1.85815 + 12.9237i −0.0685854 + 0.477022i
\(735\) −4.99182 −0.184126
\(736\) 4.46195 + 1.75813i 0.164470 + 0.0648056i
\(737\) −43.9086 −1.61739
\(738\) −1.61687 + 11.2456i −0.0595177 + 0.413955i
\(739\) 13.4977 + 29.5558i 0.496520 + 1.08723i 0.977585 + 0.210543i \(0.0675231\pi\)
−0.481064 + 0.876685i \(0.659750\pi\)
\(740\) 1.82927 + 0.537121i 0.0672452 + 0.0197450i
\(741\) 13.0441 + 15.0537i 0.479187 + 0.553012i
\(742\) 16.6224 4.88078i 0.610228 0.179179i
\(743\) −1.50703 0.968512i −0.0552877 0.0355313i 0.512705 0.858565i \(-0.328643\pi\)
−0.567993 + 0.823034i \(0.692280\pi\)
\(744\) −4.36442 + 9.55674i −0.160007 + 0.350367i
\(745\) 11.7001 13.5026i 0.428659 0.494699i
\(746\) 0.143412 0.0921655i 0.00525070 0.00337442i
\(747\) 2.43942 + 16.9666i 0.0892539 + 0.620774i
\(748\) 0.412382 + 2.86818i 0.0150782 + 0.104871i
\(749\) −17.8680 + 11.4831i −0.652882 + 0.419582i
\(750\) −0.654861 + 0.755750i −0.0239121 + 0.0275961i
\(751\) 16.4228 35.9610i 0.599278 1.31224i −0.330392 0.943844i \(-0.607181\pi\)
0.929670 0.368392i \(-0.120092\pi\)
\(752\) 5.24802 + 3.37270i 0.191375 + 0.122990i
\(753\) −0.0877053 + 0.0257526i −0.00319616 + 0.000938476i
\(754\) 15.6923 + 18.1099i 0.571481 + 0.659524i
\(755\) −15.5536 4.56695i −0.566054 0.166208i
\(756\) −0.588685 1.28904i −0.0214103 0.0468820i
\(757\) 0.563747 3.92094i 0.0204897 0.142509i −0.977009 0.213200i \(-0.931611\pi\)
0.997498 + 0.0706910i \(0.0225204\pi\)
\(758\) −8.92415 −0.324140
\(759\) 15.3631 + 11.9467i 0.557647 + 0.433639i
\(760\) 5.27392 0.191305
\(761\) 2.94904 20.5110i 0.106902 0.743523i −0.863904 0.503657i \(-0.831988\pi\)
0.970806 0.239866i \(-0.0771034\pi\)
\(762\) 2.39585 + 5.24617i 0.0867924 + 0.190049i
\(763\) 7.54093 + 2.21422i 0.273000 + 0.0801600i
\(764\) −12.7179 14.6772i −0.460118 0.531004i
\(765\) −0.685140 + 0.201175i −0.0247713 + 0.00727350i
\(766\) 17.8014 + 11.4402i 0.643190 + 0.413353i
\(767\) −19.0631 + 41.7423i −0.688328 + 1.50723i
\(768\) −0.654861 + 0.755750i −0.0236303 + 0.0272708i
\(769\) −10.8500 + 6.97287i −0.391261 + 0.251448i −0.721450 0.692467i \(-0.756524\pi\)
0.330189 + 0.943915i \(0.392888\pi\)
\(770\) −0.818397 5.69207i −0.0294930 0.205128i
\(771\) −3.64859 25.3765i −0.131401 0.913911i
\(772\) −2.39410 + 1.53860i −0.0861657 + 0.0553753i
\(773\) 20.8600 24.0737i 0.750281 0.865871i −0.244314 0.969696i \(-0.578563\pi\)
0.994596