Properties

Label 637.2.bl.b.53.20
Level $637$
Weight $2$
Character 637.53
Analytic conductor $5.086$
Analytic rank $0$
Dimension $348$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 637 = 7^{2} \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 637.bl (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.08647060876\)
Analytic rank: \(0\)
Dimension: \(348\)
Relative dimension: \(29\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 53.20
Character \(\chi\) \(=\) 637.53
Dual form 637.2.bl.b.625.20

$q$-expansion

\(f(q)\) \(=\) \(q+(1.12577 + 0.767535i) q^{2} +(-0.0507932 - 0.0471292i) q^{3} +(-0.0524406 - 0.133616i) q^{4} +(0.822051 - 0.253569i) q^{5} +(-0.0210080 - 0.0920421i) q^{6} +(-2.32385 + 1.26480i) q^{7} +(0.649898 - 2.84739i) q^{8} +(-0.223831 - 2.98682i) q^{9} +O(q^{10})\) \(q+(1.12577 + 0.767535i) q^{2} +(-0.0507932 - 0.0471292i) q^{3} +(-0.0524406 - 0.133616i) q^{4} +(0.822051 - 0.253569i) q^{5} +(-0.0210080 - 0.0920421i) q^{6} +(-2.32385 + 1.26480i) q^{7} +(0.649898 - 2.84739i) q^{8} +(-0.223831 - 2.98682i) q^{9} +(1.12006 + 0.345493i) q^{10} +(0.329926 - 4.40256i) q^{11} +(-0.00363361 + 0.00925829i) q^{12} +(-0.900969 + 0.433884i) q^{13} +(-3.58689 - 0.359769i) q^{14} +(-0.0537052 - 0.0258630i) q^{15} +(2.70666 - 2.51141i) q^{16} +(7.62761 - 1.14968i) q^{17} +(2.04051 - 3.53427i) q^{18} +(-0.00360290 - 0.00624041i) q^{19} +(-0.0769898 - 0.0965422i) q^{20} +(0.177645 + 0.0452781i) q^{21} +(3.75054 - 4.70302i) q^{22} +(3.66154 + 0.551889i) q^{23} +(-0.167206 + 0.113999i) q^{24} +(-3.51972 + 2.39971i) q^{25} +(-1.34730 - 0.203073i) q^{26} +(-0.259003 + 0.324779i) q^{27} +(0.290862 + 0.244178i) q^{28} +(-3.01613 - 3.78211i) q^{29} +(-0.0406087 - 0.0703364i) q^{30} +(-1.38027 + 2.39069i) q^{31} +(-0.801319 + 0.120779i) q^{32} +(-0.224247 + 0.208071i) q^{33} +(9.46933 + 4.56019i) q^{34} +(-1.58961 + 1.62899i) q^{35} +(-0.387351 + 0.186538i) q^{36} +(-2.04066 + 5.19953i) q^{37} +(0.000733704 - 0.00979060i) q^{38} +(0.0662117 + 0.0204236i) q^{39} +(-0.187761 - 2.50549i) q^{40} +(2.13558 - 9.35658i) q^{41} +(0.165234 + 0.187321i) q^{42} +(0.997409 + 4.36993i) q^{43} +(-0.605555 + 0.186789i) q^{44} +(-0.941368 - 2.39857i) q^{45} +(3.69845 + 3.43166i) q^{46} +(7.00132 + 4.77342i) q^{47} -0.255841 q^{48} +(3.80057 - 5.87841i) q^{49} -5.80425 q^{50} +(-0.441615 - 0.301088i) q^{51} +(0.105221 + 0.0976311i) q^{52} +(0.126003 + 0.321051i) q^{53} +(-0.540856 + 0.166832i) q^{54} +(-0.845137 - 3.70279i) q^{55} +(2.09111 + 7.43890i) q^{56} +(-0.000111103 + 0.000486772i) q^{57} +(-0.492560 - 6.57276i) q^{58} +(-2.64773 - 0.816715i) q^{59} +(-0.000639397 + 0.00853216i) q^{60} +(2.59051 - 6.60050i) q^{61} +(-3.38880 + 1.63196i) q^{62} +(4.29788 + 6.65783i) q^{63} +(-7.64813 - 3.68315i) q^{64} +(-0.630623 + 0.585133i) q^{65} +(-0.412152 + 0.0621219i) q^{66} +(-8.07221 + 13.9815i) q^{67} +(-0.553612 - 0.958884i) q^{68} +(-0.159972 - 0.200598i) q^{69} +(-3.03984 + 0.613777i) q^{70} +(7.71283 - 9.67159i) q^{71} +(-8.65012 - 1.30380i) q^{72} +(-5.85753 + 3.99360i) q^{73} +(-6.28813 + 4.28718i) q^{74} +(0.291874 + 0.0439930i) q^{75} +(-0.000644883 + 0.000808657i) q^{76} +(4.80165 + 10.6482i) q^{77} +(0.0588631 + 0.0738120i) q^{78} +(8.47799 + 14.6843i) q^{79} +(1.58820 - 2.75084i) q^{80} +(-8.85677 + 1.33494i) q^{81} +(9.58567 - 8.89420i) q^{82} +(-4.51922 - 2.17634i) q^{83} +(-0.00326590 - 0.0261107i) q^{84} +(5.97877 - 2.87922i) q^{85} +(-2.23123 + 5.68507i) q^{86} +(-0.0250488 + 0.334253i) q^{87} +(-12.3214 - 3.80064i) q^{88} +(-0.0121990 - 0.162784i) q^{89} +(0.781222 - 3.42276i) q^{90} +(1.54494 - 2.14783i) q^{91} +(-0.118272 - 0.518183i) q^{92} +(0.182780 - 0.0563801i) q^{93} +(4.21809 + 10.7475i) q^{94} +(-0.00454415 - 0.00421635i) q^{95} +(0.0463938 + 0.0316308i) q^{96} +12.1250 q^{97} +(8.79044 - 3.70065i) q^{98} -13.2235 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 348 q + 3 q^{2} + 31 q^{4} + q^{5} - 4 q^{6} + 27 q^{7} - 12 q^{8} + 13 q^{9} + O(q^{10}) \) \( 348 q + 3 q^{2} + 31 q^{4} + q^{5} - 4 q^{6} + 27 q^{7} - 12 q^{8} + 13 q^{9} - 5 q^{10} + 2 q^{11} - 40 q^{12} - 58 q^{13} - 45 q^{14} - 14 q^{15} + 27 q^{16} - 12 q^{17} - 59 q^{18} - 24 q^{19} - 99 q^{20} - 2 q^{21} - 10 q^{22} - 14 q^{23} + 28 q^{25} + 3 q^{26} - 9 q^{27} - 37 q^{28} - 26 q^{29} - 83 q^{30} - 49 q^{31} + 33 q^{32} + 2 q^{33} - 130 q^{34} - 38 q^{35} - 74 q^{36} - 4 q^{37} + 92 q^{38} + 24 q^{40} + 20 q^{41} - 52 q^{42} + 2 q^{43} + 226 q^{44} - 23 q^{45} + 71 q^{46} + 24 q^{47} + 86 q^{48} + 25 q^{49} + 114 q^{50} - 54 q^{51} + 31 q^{52} + 36 q^{53} + 75 q^{54} + 38 q^{55} + 126 q^{56} + 27 q^{57} - 33 q^{58} + q^{59} - 179 q^{60} - 15 q^{61} + 158 q^{62} - 5 q^{63} - 24 q^{64} + q^{65} - 150 q^{66} - 151 q^{67} + 140 q^{68} - 98 q^{69} - 126 q^{70} - 31 q^{71} - 149 q^{72} - 9 q^{73} + 39 q^{74} + 85 q^{75} - 81 q^{76} + 46 q^{77} - 25 q^{78} - 69 q^{79} - 64 q^{80} + 71 q^{81} - 52 q^{82} - q^{83} - 47 q^{84} + 62 q^{85} + 97 q^{86} + 150 q^{87} - 12 q^{88} + 23 q^{89} + 107 q^{90} - q^{91} - 43 q^{92} + 316 q^{93} - 86 q^{94} - 29 q^{95} + 177 q^{96} + 114 q^{97} - 336 q^{98} + 102 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/637\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(248\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.12577 + 0.767535i 0.796038 + 0.542729i 0.891669 0.452688i \(-0.149535\pi\)
−0.0956317 + 0.995417i \(0.530487\pi\)
\(3\) −0.0507932 0.0471292i −0.0293255 0.0272101i 0.665374 0.746510i \(-0.268272\pi\)
−0.694699 + 0.719300i \(0.744463\pi\)
\(4\) −0.0524406 0.133616i −0.0262203 0.0668082i
\(5\) 0.822051 0.253569i 0.367633 0.113400i −0.105434 0.994426i \(-0.533623\pi\)
0.473067 + 0.881027i \(0.343147\pi\)
\(6\) −0.0210080 0.0920421i −0.00857649 0.0375760i
\(7\) −2.32385 + 1.26480i −0.878333 + 0.478049i
\(8\) 0.649898 2.84739i 0.229774 1.00670i
\(9\) −0.223831 2.98682i −0.0746105 0.995608i
\(10\) 1.12006 + 0.345493i 0.354195 + 0.109255i
\(11\) 0.329926 4.40256i 0.0994764 1.32742i −0.694509 0.719484i \(-0.744378\pi\)
0.793985 0.607937i \(-0.208003\pi\)
\(12\) −0.00363361 + 0.00925829i −0.00104893 + 0.00267264i
\(13\) −0.900969 + 0.433884i −0.249884 + 0.120338i
\(14\) −3.58689 0.359769i −0.958637 0.0961522i
\(15\) −0.0537052 0.0258630i −0.0138666 0.00667781i
\(16\) 2.70666 2.51141i 0.676665 0.627854i
\(17\) 7.62761 1.14968i 1.84997 0.278838i 0.872297 0.488977i \(-0.162630\pi\)
0.977672 + 0.210139i \(0.0673917\pi\)
\(18\) 2.04051 3.53427i 0.480953 0.833035i
\(19\) −0.00360290 0.00624041i −0.000826562 0.00143165i 0.865612 0.500716i \(-0.166930\pi\)
−0.866438 + 0.499284i \(0.833596\pi\)
\(20\) −0.0769898 0.0965422i −0.0172155 0.0215875i
\(21\) 0.177645 + 0.0452781i 0.0387653 + 0.00988050i
\(22\) 3.75054 4.70302i 0.799617 1.00269i
\(23\) 3.66154 + 0.551889i 0.763485 + 0.115077i 0.519230 0.854634i \(-0.326219\pi\)
0.244254 + 0.969711i \(0.421457\pi\)
\(24\) −0.167206 + 0.113999i −0.0341307 + 0.0232699i
\(25\) −3.51972 + 2.39971i −0.703945 + 0.479941i
\(26\) −1.34730 0.203073i −0.264228 0.0398259i
\(27\) −0.259003 + 0.324779i −0.0498451 + 0.0625037i
\(28\) 0.290862 + 0.244178i 0.0549677 + 0.0461453i
\(29\) −3.01613 3.78211i −0.560081 0.702320i 0.418492 0.908221i \(-0.362559\pi\)
−0.978573 + 0.205901i \(0.933988\pi\)
\(30\) −0.0406087 0.0703364i −0.00741410 0.0128416i
\(31\) −1.38027 + 2.39069i −0.247903 + 0.429381i −0.962944 0.269702i \(-0.913075\pi\)
0.715041 + 0.699083i \(0.246408\pi\)
\(32\) −0.801319 + 0.120779i −0.141654 + 0.0213510i
\(33\) −0.224247 + 0.208071i −0.0390364 + 0.0362205i
\(34\) 9.46933 + 4.56019i 1.62398 + 0.782066i
\(35\) −1.58961 + 1.62899i −0.268693 + 0.275349i
\(36\) −0.387351 + 0.186538i −0.0645585 + 0.0310897i
\(37\) −2.04066 + 5.19953i −0.335483 + 0.854797i 0.659214 + 0.751955i \(0.270889\pi\)
−0.994698 + 0.102842i \(0.967206\pi\)
\(38\) 0.000733704 0.00979060i 0.000119022 0.00158824i
\(39\) 0.0662117 + 0.0204236i 0.0106024 + 0.00327040i
\(40\) −0.187761 2.50549i −0.0296876 0.396153i
\(41\) 2.13558 9.35658i 0.333521 1.46125i −0.478739 0.877957i \(-0.658906\pi\)
0.812260 0.583295i \(-0.198237\pi\)
\(42\) 0.165234 + 0.187321i 0.0254962 + 0.0289043i
\(43\) 0.997409 + 4.36993i 0.152103 + 0.666409i 0.992272 + 0.124083i \(0.0395989\pi\)
−0.840168 + 0.542326i \(0.817544\pi\)
\(44\) −0.605555 + 0.186789i −0.0912909 + 0.0281595i
\(45\) −0.941368 2.39857i −0.140331 0.357557i
\(46\) 3.69845 + 3.43166i 0.545307 + 0.505971i
\(47\) 7.00132 + 4.77342i 1.02125 + 0.696275i 0.953489 0.301427i \(-0.0974630\pi\)
0.0677580 + 0.997702i \(0.478415\pi\)
\(48\) −0.255841 −0.0369275
\(49\) 3.80057 5.87841i 0.542938 0.839772i
\(50\) −5.80425 −0.820844
\(51\) −0.441615 0.301088i −0.0618384 0.0421607i
\(52\) 0.105221 + 0.0976311i 0.0145916 + 0.0135390i
\(53\) 0.126003 + 0.321051i 0.0173079 + 0.0440997i 0.939266 0.343189i \(-0.111507\pi\)
−0.921959 + 0.387288i \(0.873412\pi\)
\(54\) −0.540856 + 0.166832i −0.0736011 + 0.0227029i
\(55\) −0.845137 3.70279i −0.113958 0.499284i
\(56\) 2.09111 + 7.43890i 0.279436 + 0.994065i
\(57\) −0.000111103 0 0.000486772i −1.47159e−5 0 6.44746e-5i
\(58\) −0.492560 6.57276i −0.0646763 0.863045i
\(59\) −2.64773 0.816715i −0.344705 0.106327i 0.117569 0.993065i \(-0.462490\pi\)
−0.462273 + 0.886737i \(0.652966\pi\)
\(60\) −0.000639397 0.00853216i −8.25458e−5 0.00110150i
\(61\) 2.59051 6.60050i 0.331680 0.845108i −0.663602 0.748086i \(-0.730973\pi\)
0.995282 0.0970218i \(-0.0309317\pi\)
\(62\) −3.38880 + 1.63196i −0.430378 + 0.207259i
\(63\) 4.29788 + 6.65783i 0.541482 + 0.838808i
\(64\) −7.64813 3.68315i −0.956016 0.460393i
\(65\) −0.630623 + 0.585133i −0.0782192 + 0.0725768i
\(66\) −0.412152 + 0.0621219i −0.0507324 + 0.00764668i
\(67\) −8.07221 + 13.9815i −0.986178 + 1.70811i −0.349596 + 0.936900i \(0.613681\pi\)
−0.636581 + 0.771210i \(0.719652\pi\)
\(68\) −0.553612 0.958884i −0.0671353 0.116282i
\(69\) −0.159972 0.200598i −0.0192583 0.0241492i
\(70\) −3.03984 + 0.613777i −0.363330 + 0.0733604i
\(71\) 7.71283 9.67159i 0.915345 1.14781i −0.0732659 0.997312i \(-0.523342\pi\)
0.988611 0.150494i \(-0.0480864\pi\)
\(72\) −8.65012 1.30380i −1.01943 0.153654i
\(73\) −5.85753 + 3.99360i −0.685572 + 0.467415i −0.855339 0.518069i \(-0.826651\pi\)
0.169767 + 0.985484i \(0.445699\pi\)
\(74\) −6.28813 + 4.28718i −0.730981 + 0.498374i
\(75\) 0.291874 + 0.0439930i 0.0337028 + 0.00507987i
\(76\) −0.000644883 0 0.000808657i −7.39731e−5 0 9.27593e-5i
\(77\) 4.80165 + 10.6482i 0.547199 + 1.21347i
\(78\) 0.0588631 + 0.0738120i 0.00666494 + 0.00835757i
\(79\) 8.47799 + 14.6843i 0.953848 + 1.65211i 0.736982 + 0.675912i \(0.236250\pi\)
0.216866 + 0.976201i \(0.430417\pi\)
\(80\) 1.58820 2.75084i 0.177566 0.307553i
\(81\) −8.85677 + 1.33494i −0.984086 + 0.148327i
\(82\) 9.58567 8.89420i 1.05856 0.982200i
\(83\) −4.51922 2.17634i −0.496049 0.238885i 0.169095 0.985600i \(-0.445916\pi\)
−0.665144 + 0.746715i \(0.731630\pi\)
\(84\) −0.00326590 0.0261107i −0.000356339 0.00284891i
\(85\) 5.97877 2.87922i 0.648488 0.312296i
\(86\) −2.23123 + 5.68507i −0.240599 + 0.613037i
\(87\) −0.0250488 + 0.334253i −0.00268552 + 0.0358357i
\(88\) −12.3214 3.80064i −1.31346 0.405150i
\(89\) −0.0121990 0.162784i −0.00129309 0.0172551i 0.996520 0.0833549i \(-0.0265635\pi\)
−0.997813 + 0.0660997i \(0.978944\pi\)
\(90\) 0.781222 3.42276i 0.0823481 0.360790i
\(91\) 1.54494 2.14783i 0.161954 0.225153i
\(92\) −0.118272 0.518183i −0.0123307 0.0540244i
\(93\) 0.182780 0.0563801i 0.0189534 0.00584634i
\(94\) 4.21809 + 10.7475i 0.435063 + 1.10852i
\(95\) −0.00454415 0.00421635i −0.000466219 0.000432588i
\(96\) 0.0463938 + 0.0316308i 0.00473505 + 0.00322830i
\(97\) 12.1250 1.23111 0.615555 0.788094i \(-0.288932\pi\)
0.615555 + 0.788094i \(0.288932\pi\)
\(98\) 8.79044 3.70065i 0.887968 0.373822i
\(99\) −13.2235 −1.32901
\(100\) 0.505216 + 0.344451i 0.0505216 + 0.0344451i
\(101\) 11.0219 + 10.2268i 1.09672 + 1.01761i 0.999751 + 0.0223188i \(0.00710490\pi\)
0.0969679 + 0.995288i \(0.469086\pi\)
\(102\) −0.266060 0.677909i −0.0263438 0.0671230i
\(103\) −3.75423 + 1.15803i −0.369915 + 0.114104i −0.474139 0.880450i \(-0.657240\pi\)
0.104224 + 0.994554i \(0.466764\pi\)
\(104\) 0.649898 + 2.84739i 0.0637277 + 0.279209i
\(105\) 0.157514 0.00782435i 0.0153718 0.000763578i
\(106\) −0.104568 + 0.458140i −0.0101565 + 0.0444985i
\(107\) 0.371305 + 4.95472i 0.0358954 + 0.478991i 0.985965 + 0.166953i \(0.0533927\pi\)
−0.950069 + 0.312038i \(0.898988\pi\)
\(108\) 0.0569780 + 0.0175754i 0.00548271 + 0.00169119i
\(109\) 0.528408 7.05112i 0.0506123 0.675375i −0.912981 0.408002i \(-0.866226\pi\)
0.963593 0.267372i \(-0.0861554\pi\)
\(110\) 1.89059 4.81715i 0.180261 0.459297i
\(111\) 0.348702 0.167926i 0.0330973 0.0159388i
\(112\) −3.11344 + 9.25954i −0.294193 + 0.874944i
\(113\) 5.14252 + 2.47651i 0.483768 + 0.232970i 0.659839 0.751407i \(-0.270625\pi\)
−0.176071 + 0.984377i \(0.556339\pi\)
\(114\) −0.000498691 0 0.000462717i −4.67067e−5 0 4.33374e-5i
\(115\) 3.14992 0.474774i 0.293731 0.0442729i
\(116\) −0.347184 + 0.601340i −0.0322352 + 0.0558330i
\(117\) 1.49760 + 2.59392i 0.138453 + 0.239808i
\(118\) −2.35386 2.95165i −0.216691 0.271722i
\(119\) −16.2713 + 12.3191i −1.49159 + 1.12929i
\(120\) −0.108545 + 0.136111i −0.00990876 + 0.0124252i
\(121\) −8.39652 1.26557i −0.763320 0.115052i
\(122\) 7.98242 5.44232i 0.722695 0.492725i
\(123\) −0.549442 + 0.374603i −0.0495415 + 0.0337768i
\(124\) 0.391818 + 0.0590570i 0.0351863 + 0.00530348i
\(125\) −4.96675 + 6.22811i −0.444240 + 0.557059i
\(126\) −0.271706 + 10.7939i −0.0242055 + 0.961601i
\(127\) −4.62753 5.80274i −0.410627 0.514910i 0.532913 0.846170i \(-0.321097\pi\)
−0.943539 + 0.331261i \(0.892526\pi\)
\(128\) −4.97270 8.61297i −0.439529 0.761286i
\(129\) 0.155290 0.268970i 0.0136725 0.0236815i
\(130\) −1.15904 + 0.174698i −0.101655 + 0.0153220i
\(131\) −11.0526 + 10.2553i −0.965667 + 0.896008i −0.994622 0.103573i \(-0.966973\pi\)
0.0289551 + 0.999581i \(0.490782\pi\)
\(132\) 0.0395613 + 0.0190517i 0.00344337 + 0.00165824i
\(133\) 0.0162655 + 0.00994484i 0.00141039 + 0.000862327i
\(134\) −19.8187 + 9.54419i −1.71208 + 0.824492i
\(135\) −0.130559 + 0.332660i −0.0112368 + 0.0286308i
\(136\) 1.68359 22.4660i 0.144367 1.92644i
\(137\) −12.0845 3.72757i −1.03245 0.318468i −0.268181 0.963368i \(-0.586423\pi\)
−0.764267 + 0.644900i \(0.776899\pi\)
\(138\) −0.0261247 0.348610i −0.00222388 0.0296757i
\(139\) 0.935714 4.09963i 0.0793663 0.347726i −0.919617 0.392817i \(-0.871501\pi\)
0.998983 + 0.0450908i \(0.0143577\pi\)
\(140\) 0.301019 + 0.126973i 0.0254408 + 0.0107312i
\(141\) −0.130652 0.572424i −0.0110029 0.0482068i
\(142\) 16.1061 4.96809i 1.35160 0.416912i
\(143\) 1.61294 + 4.10972i 0.134881 + 0.343672i
\(144\) −8.10699 7.52219i −0.675582 0.626849i
\(145\) −3.43844 2.34429i −0.285547 0.194683i
\(146\) −9.65944 −0.799421
\(147\) −0.470088 + 0.119465i −0.0387722 + 0.00985334i
\(148\) 0.801756 0.0659039
\(149\) −7.58385 5.17058i −0.621293 0.423590i 0.211342 0.977412i \(-0.432217\pi\)
−0.832635 + 0.553822i \(0.813169\pi\)
\(150\) 0.294816 + 0.273550i 0.0240717 + 0.0223352i
\(151\) 1.44629 + 3.68508i 0.117697 + 0.299887i 0.977567 0.210627i \(-0.0675504\pi\)
−0.859869 + 0.510514i \(0.829455\pi\)
\(152\) −0.0201104 + 0.00620323i −0.00163117 + 0.000503149i
\(153\) −5.14119 22.5250i −0.415640 1.82104i
\(154\) −2.76731 + 15.6728i −0.222996 + 1.26295i
\(155\) −0.528444 + 2.31527i −0.0424457 + 0.185967i
\(156\) −0.000743251 0.00991800i −5.95077e−5 0.000794075i
\(157\) 21.7097 + 6.69656i 1.73262 + 0.534444i 0.990703 0.136043i \(-0.0434384\pi\)
0.741922 + 0.670487i \(0.233915\pi\)
\(158\) −1.72648 + 23.0383i −0.137351 + 1.83283i
\(159\) 0.00873077 0.0222456i 0.000692395 0.00176419i
\(160\) −0.628099 + 0.302477i −0.0496556 + 0.0239129i
\(161\) −9.20691 + 3.34861i −0.725606 + 0.263907i
\(162\) −10.9953 5.29505i −0.863871 0.416018i
\(163\) −0.397743 + 0.369051i −0.0311536 + 0.0289063i −0.695596 0.718433i \(-0.744860\pi\)
0.664442 + 0.747340i \(0.268669\pi\)
\(164\) −1.36218 + 0.205316i −0.106369 + 0.0160325i
\(165\) −0.131582 + 0.227907i −0.0102437 + 0.0177426i
\(166\) −3.41717 5.91872i −0.265224 0.459382i
\(167\) 5.75128 + 7.21188i 0.445047 + 0.558072i 0.952866 0.303392i \(-0.0981193\pi\)
−0.507818 + 0.861464i \(0.669548\pi\)
\(168\) 0.244375 0.476398i 0.0188540 0.0367549i
\(169\) 0.623490 0.781831i 0.0479608 0.0601409i
\(170\) 8.94060 + 1.34758i 0.685713 + 0.103355i
\(171\) −0.0178326 + 0.0121580i −0.00136369 + 0.000929748i
\(172\) 0.531590 0.362432i 0.0405334 0.0276352i
\(173\) 5.16455 + 0.778430i 0.392653 + 0.0591830i 0.342402 0.939554i \(-0.388760\pi\)
0.0502515 + 0.998737i \(0.483998\pi\)
\(174\) −0.284750 + 0.357066i −0.0215869 + 0.0270691i
\(175\) 5.14417 10.0283i 0.388862 0.758068i
\(176\) −10.1636 12.7448i −0.766114 0.960676i
\(177\) 0.0959954 + 0.166269i 0.00721546 + 0.0124975i
\(178\) 0.111210 0.192621i 0.00833551 0.0144375i
\(179\) 12.7607 1.92337i 0.953780 0.143759i 0.346326 0.938114i \(-0.387429\pi\)
0.607454 + 0.794355i \(0.292191\pi\)
\(180\) −0.271122 + 0.251564i −0.0202082 + 0.0187505i
\(181\) 7.01118 + 3.37641i 0.521137 + 0.250966i 0.675911 0.736984i \(-0.263751\pi\)
−0.154774 + 0.987950i \(0.549465\pi\)
\(182\) 3.38778 1.23215i 0.251119 0.0913333i
\(183\) −0.442657 + 0.213172i −0.0327221 + 0.0157581i
\(184\) 3.95107 10.0672i 0.291277 0.742161i
\(185\) −0.359090 + 4.79173i −0.0264009 + 0.352295i
\(186\) 0.249041 + 0.0768190i 0.0182606 + 0.00563264i
\(187\) −2.54497 33.9603i −0.186107 2.48342i
\(188\) 0.270654 1.18581i 0.0197395 0.0864842i
\(189\) 0.191104 1.08232i 0.0139007 0.0787275i
\(190\) −0.00187945 0.00823442i −0.000136350 0.000597388i
\(191\) 8.87987 2.73908i 0.642525 0.198193i 0.0436645 0.999046i \(-0.486097\pi\)
0.598860 + 0.800854i \(0.295621\pi\)
\(192\) 0.214889 + 0.547529i 0.0155083 + 0.0395145i
\(193\) −10.7211 9.94771i −0.771721 0.716052i 0.192458 0.981305i \(-0.438354\pi\)
−0.964179 + 0.265253i \(0.914545\pi\)
\(194\) 13.6500 + 9.30638i 0.980010 + 0.668159i
\(195\) 0.0596082 0.00426863
\(196\) −0.984755 0.199551i −0.0703397 0.0142537i
\(197\) 25.6698 1.82889 0.914447 0.404705i \(-0.132626\pi\)
0.914447 + 0.404705i \(0.132626\pi\)
\(198\) −14.8866 10.1495i −1.05794 0.721294i
\(199\) 3.63715 + 3.37478i 0.257831 + 0.239232i 0.798488 0.602011i \(-0.205634\pi\)
−0.540657 + 0.841243i \(0.681824\pi\)
\(200\) 4.54544 + 11.5816i 0.321411 + 0.818942i
\(201\) 1.06895 0.329727i 0.0753979 0.0232572i
\(202\) 4.55864 + 19.9727i 0.320745 + 1.40527i
\(203\) 11.7926 + 4.97426i 0.827681 + 0.349124i
\(204\) −0.0170717 + 0.0747962i −0.00119526 + 0.00523678i
\(205\) −0.616986 8.23311i −0.0430922 0.575025i
\(206\) −5.11521 1.57783i −0.356394 0.109933i
\(207\) 0.828826 11.0599i 0.0576074 0.768717i
\(208\) −1.34896 + 3.43708i −0.0935333 + 0.238319i
\(209\) −0.0286624 + 0.0138031i −0.00198262 + 0.000954781i
\(210\) 0.183330 + 0.112089i 0.0126510 + 0.00773490i
\(211\) −3.24345 1.56196i −0.223288 0.107530i 0.318896 0.947790i \(-0.396688\pi\)
−0.542184 + 0.840260i \(0.682402\pi\)
\(212\) 0.0362900 0.0336722i 0.00249240 0.00231261i
\(213\) −0.847574 + 0.127751i −0.0580748 + 0.00875337i
\(214\) −3.38492 + 5.86285i −0.231388 + 0.400776i
\(215\) 1.92800 + 3.33940i 0.131489 + 0.227745i
\(216\) 0.756447 + 0.948554i 0.0514697 + 0.0645409i
\(217\) 0.183791 7.30138i 0.0124765 0.495650i
\(218\) 6.00684 7.53234i 0.406835 0.510155i
\(219\) 0.485738 + 0.0732132i 0.0328231 + 0.00494729i
\(220\) −0.450434 + 0.307100i −0.0303682 + 0.0207047i
\(221\) −6.37342 + 4.34532i −0.428722 + 0.292298i
\(222\) 0.521446 + 0.0785953i 0.0349972 + 0.00527497i
\(223\) −1.10564 + 1.38643i −0.0740393 + 0.0928423i −0.817472 0.575969i \(-0.804625\pi\)
0.743433 + 0.668811i \(0.233196\pi\)
\(224\) 1.70938 1.29418i 0.114213 0.0864710i
\(225\) 7.95532 + 9.97566i 0.530355 + 0.665044i
\(226\) 3.88847 + 6.73504i 0.258657 + 0.448008i
\(227\) −11.4383 + 19.8118i −0.759189 + 1.31495i 0.184076 + 0.982912i \(0.441071\pi\)
−0.943265 + 0.332041i \(0.892263\pi\)
\(228\) 7.08671e−5 0 1.06815e-5i 4.69329e−6 0 7.07399e-7i
\(229\) −14.9599 + 13.8808i −0.988580 + 0.917268i −0.996574 0.0827000i \(-0.973646\pi\)
0.00799461 + 0.999968i \(0.497455\pi\)
\(230\) 3.91048 + 1.88319i 0.257849 + 0.124174i
\(231\) 0.257949 0.767153i 0.0169718 0.0504750i
\(232\) −12.7293 + 6.13011i −0.835720 + 0.402461i
\(233\) 3.99363 10.1756i 0.261631 0.666626i −0.738338 0.674431i \(-0.764389\pi\)
0.999970 + 0.00780474i \(0.00248435\pi\)
\(234\) −0.304975 + 4.06961i −0.0199368 + 0.266039i
\(235\) 6.96584 + 2.14868i 0.454401 + 0.140164i
\(236\) 0.0297217 + 0.396609i 0.00193472 + 0.0258170i
\(237\) 0.261436 1.14542i 0.0169821 0.0744033i
\(238\) −27.7730 + 1.37959i −1.80026 + 0.0894258i
\(239\) −1.76915 7.75115i −0.114437 0.501380i −0.999364 0.0356516i \(-0.988649\pi\)
0.884927 0.465729i \(-0.154208\pi\)
\(240\) −0.210315 + 0.0648734i −0.0135757 + 0.00418756i
\(241\) 5.14127 + 13.0997i 0.331178 + 0.843829i 0.995357 + 0.0962547i \(0.0306863\pi\)
−0.664178 + 0.747574i \(0.731218\pi\)
\(242\) −8.48115 7.86936i −0.545189 0.505862i
\(243\) 1.54246 + 1.05163i 0.0989487 + 0.0674621i
\(244\) −1.01778 −0.0651569
\(245\) 1.63368 5.79606i 0.104372 0.370297i
\(246\) −0.906064 −0.0577685
\(247\) 0.00595371 + 0.00405917i 0.000378826 + 0.000258279i
\(248\) 5.91020 + 5.48386i 0.375298 + 0.348226i
\(249\) 0.126977 + 0.323531i 0.00804681 + 0.0205029i
\(250\) −10.3717 + 3.19924i −0.655964 + 0.202338i
\(251\) 3.69057 + 16.1694i 0.232946 + 1.02060i 0.947181 + 0.320699i \(0.103918\pi\)
−0.714235 + 0.699906i \(0.753225\pi\)
\(252\) 0.664212 0.923408i 0.0418414 0.0581692i
\(253\) 3.63776 15.9381i 0.228704 1.00202i
\(254\) −0.755715 10.0843i −0.0474178 0.632746i
\(255\) −0.439376 0.135530i −0.0275148 0.00848720i
\(256\) −0.256082 + 3.41718i −0.0160051 + 0.213574i
\(257\) 5.07405 12.9285i 0.316511 0.806456i −0.680752 0.732514i \(-0.738347\pi\)
0.997263 0.0739420i \(-0.0235580\pi\)
\(258\) 0.381264 0.183607i 0.0237365 0.0114309i
\(259\) −1.83416 14.6640i −0.113969 0.911174i
\(260\) 0.111254 + 0.0535769i 0.00689965 + 0.00332270i
\(261\) −10.6214 + 9.85520i −0.657447 + 0.610022i
\(262\) −20.3139 + 3.06183i −1.25500 + 0.189160i
\(263\) 4.04388 7.00421i 0.249357 0.431898i −0.713991 0.700155i \(-0.753114\pi\)
0.963347 + 0.268257i \(0.0864476\pi\)
\(264\) 0.446721 + 0.773744i 0.0274938 + 0.0476206i
\(265\) 0.184990 + 0.231970i 0.0113638 + 0.0142498i
\(266\) 0.0106781 + 0.0236799i 0.000654717 + 0.00145191i
\(267\) −0.00705228 + 0.00884328i −0.000431592 + 0.000541200i
\(268\) 2.29147 + 0.345383i 0.139974 + 0.0210976i
\(269\) 13.1701 8.97922i 0.802995 0.547473i −0.0908418 0.995865i \(-0.528956\pi\)
0.893837 + 0.448393i \(0.148003\pi\)
\(270\) −0.402308 + 0.274289i −0.0244837 + 0.0166927i
\(271\) 15.7551 + 2.37470i 0.957054 + 0.144253i 0.608955 0.793205i \(-0.291589\pi\)
0.348099 + 0.937458i \(0.386827\pi\)
\(272\) 17.7581 22.2679i 1.07674 1.35019i
\(273\) −0.179698 + 0.0362831i −0.0108758 + 0.00219595i
\(274\) −10.7433 13.4717i −0.649025 0.813852i
\(275\) 9.40360 + 16.2875i 0.567058 + 0.982174i
\(276\) −0.0184142 + 0.0318943i −0.00110840 + 0.00191981i
\(277\) −17.4348 + 2.62788i −1.04756 + 0.157894i −0.650194 0.759768i \(-0.725313\pi\)
−0.397363 + 0.917662i \(0.630074\pi\)
\(278\) 4.20001 3.89704i 0.251900 0.233729i
\(279\) 7.44953 + 3.58750i 0.445991 + 0.214778i
\(280\) 3.60527 + 5.58492i 0.215456 + 0.333763i
\(281\) −14.6493 + 7.05475i −0.873906 + 0.420851i −0.816395 0.577494i \(-0.804031\pi\)
−0.0575113 + 0.998345i \(0.518317\pi\)
\(282\) 0.292272 0.744696i 0.0174045 0.0443460i
\(283\) −1.65455 + 22.0785i −0.0983530 + 1.31243i 0.701688 + 0.712485i \(0.252430\pi\)
−0.800041 + 0.599946i \(0.795189\pi\)
\(284\) −1.69675 0.523377i −0.100683 0.0310567i
\(285\) 3.20985e−5 0 0.000428324i 1.90135e−6 0 2.53717e-5i
\(286\) −1.33855 + 5.86458i −0.0791502 + 0.346780i
\(287\) 6.87143 + 24.4444i 0.405607 + 1.44291i
\(288\) 0.540107 + 2.36636i 0.0318261 + 0.139439i
\(289\) 40.6140 12.5278i 2.38906 0.736927i
\(290\) −2.07156 5.27825i −0.121646 0.309949i
\(291\) −0.615869 0.571443i −0.0361029 0.0334986i
\(292\) 0.840782 + 0.573236i 0.0492031 + 0.0335461i
\(293\) 19.4423 1.13583 0.567916 0.823087i \(-0.307750\pi\)
0.567916 + 0.823087i \(0.307750\pi\)
\(294\) −0.620903 0.226319i −0.0362118 0.0131992i
\(295\) −2.38366 −0.138782
\(296\) 13.4789 + 9.18973i 0.783443 + 0.534142i
\(297\) 1.34441 + 1.24743i 0.0780104 + 0.0723830i
\(298\) −4.56905 11.6417i −0.264678 0.674388i
\(299\) −3.53839 + 1.09145i −0.204630 + 0.0631201i
\(300\) −0.00942787 0.0413062i −0.000544319 0.00238482i
\(301\) −7.84492 8.89355i −0.452173 0.512616i
\(302\) −1.20024 + 5.25861i −0.0690663 + 0.302599i
\(303\) −0.0778553 1.03891i −0.00447267 0.0596836i
\(304\) −0.0254241 0.00784229i −0.00145817 0.000449786i
\(305\) 0.455845 6.08282i 0.0261016 0.348302i
\(306\) 11.5010 29.3039i 0.657466 1.67520i
\(307\) 16.2183 7.81030i 0.925625 0.445757i 0.0905486 0.995892i \(-0.471138\pi\)
0.835076 + 0.550135i \(0.185424\pi\)
\(308\) 1.17097 1.19998i 0.0667222 0.0683749i
\(309\) 0.245266 + 0.118114i 0.0139527 + 0.00671927i
\(310\) −2.37195 + 2.20085i −0.134718 + 0.125000i
\(311\) −15.3961 + 2.32058i −0.873031 + 0.131588i −0.570249 0.821472i \(-0.693153\pi\)
−0.302782 + 0.953060i \(0.597915\pi\)
\(312\) 0.101185 0.175257i 0.00572846 0.00992199i
\(313\) −10.0262 17.3658i −0.566713 0.981575i −0.996888 0.0788297i \(-0.974882\pi\)
0.430176 0.902745i \(-0.358452\pi\)
\(314\) 19.3002 + 24.2017i 1.08918 + 1.36578i
\(315\) 5.22130 + 4.38327i 0.294187 + 0.246969i
\(316\) 1.51747 1.90285i 0.0853645 0.107044i
\(317\) −20.3059 3.06063i −1.14050 0.171902i −0.448485 0.893790i \(-0.648036\pi\)
−0.692010 + 0.721888i \(0.743275\pi\)
\(318\) 0.0269031 0.0183422i 0.00150865 0.00102858i
\(319\) −17.6460 + 12.0309i −0.987989 + 0.673599i
\(320\) −7.22109 1.08840i −0.403671 0.0608436i
\(321\) 0.214652 0.269166i 0.0119807 0.0150234i
\(322\) −12.9350 3.29687i −0.720840 0.183728i
\(323\) −0.0346560 0.0434573i −0.00192831 0.00241803i
\(324\) 0.642824 + 1.11340i 0.0357125 + 0.0618558i
\(325\) 2.12997 3.68921i 0.118149 0.204641i
\(326\) −0.731025 + 0.110184i −0.0404877 + 0.00610255i
\(327\) −0.359153 + 0.333246i −0.0198612 + 0.0184285i
\(328\) −25.2539 12.1616i −1.39441 0.671515i
\(329\) −22.3074 2.23746i −1.22985 0.123355i
\(330\) −0.323058 + 0.155576i −0.0177837 + 0.00856420i
\(331\) 10.9977 28.0218i 0.604490 1.54021i −0.220690 0.975344i \(-0.570831\pi\)
0.825179 0.564871i \(-0.191074\pi\)
\(332\) −0.0538045 + 0.717971i −0.00295290 + 0.0394038i
\(333\) 15.9868 + 4.93129i 0.876073 + 0.270233i
\(334\) 0.939234 + 12.5332i 0.0513926 + 0.685786i
\(335\) −3.09050 + 13.5404i −0.168852 + 0.739789i
\(336\) 0.594537 0.323588i 0.0324346 0.0176531i
\(337\) 3.86002 + 16.9118i 0.210268 + 0.921246i 0.964384 + 0.264505i \(0.0852086\pi\)
−0.754116 + 0.656741i \(0.771934\pi\)
\(338\) 1.30199 0.401610i 0.0708188 0.0218447i
\(339\) −0.144489 0.368153i −0.00784759 0.0199953i
\(340\) −0.698241 0.647873i −0.0378674 0.0351359i
\(341\) 10.0698 + 6.86546i 0.545309 + 0.371785i
\(342\) −0.0294070 −0.00159015
\(343\) −1.39696 + 18.4675i −0.0754286 + 0.997151i
\(344\) 13.0911 0.705826
\(345\) −0.182370 0.124338i −0.00981848 0.00669413i
\(346\) 5.21660 + 4.84030i 0.280446 + 0.260216i
\(347\) −0.942439 2.40130i −0.0505928 0.128908i 0.903343 0.428918i \(-0.141105\pi\)
−0.953936 + 0.300010i \(0.903010\pi\)
\(348\) 0.0459753 0.0141815i 0.00246453 0.000760208i
\(349\) −1.65212 7.23841i −0.0884359 0.387463i 0.911268 0.411815i \(-0.135105\pi\)
−0.999703 + 0.0243518i \(0.992248\pi\)
\(350\) 13.4882 7.34120i 0.720975 0.392404i
\(351\) 0.0924369 0.404993i 0.00493392 0.0216169i
\(352\) 0.267362 + 3.56770i 0.0142504 + 0.190159i
\(353\) 6.08292 + 1.87633i 0.323761 + 0.0998670i 0.452375 0.891828i \(-0.350577\pi\)
−0.128614 + 0.991695i \(0.541053\pi\)
\(354\) −0.0195487 + 0.260860i −0.00103900 + 0.0138645i
\(355\) 3.88793 9.90628i 0.206350 0.525771i
\(356\) −0.0211109 + 0.0101665i −0.00111888 + 0.000538823i
\(357\) 1.40706 + 0.141130i 0.0744696 + 0.00746937i
\(358\) 15.8418 + 7.62902i 0.837267 + 0.403206i
\(359\) 1.44919 1.34465i 0.0764851 0.0709678i −0.641004 0.767538i \(-0.721482\pi\)
0.717489 + 0.696570i \(0.245291\pi\)
\(360\) −7.44144 + 1.12162i −0.392198 + 0.0591144i
\(361\) 9.49997 16.4544i 0.499999 0.866023i
\(362\) 5.30145 + 9.18237i 0.278638 + 0.482615i
\(363\) 0.366841 + 0.460004i 0.0192542 + 0.0241439i
\(364\) −0.368002 0.0937964i −0.0192886 0.00491627i
\(365\) −3.80254 + 4.76823i −0.199034 + 0.249581i
\(366\) −0.661946 0.0997722i −0.0346005 0.00521518i
\(367\) −24.8685 + 16.9551i −1.29813 + 0.885047i −0.997635 0.0687374i \(-0.978103\pi\)
−0.300491 + 0.953785i \(0.597151\pi\)
\(368\) 11.2966 7.70188i 0.588875 0.401488i
\(369\) −28.4245 4.28430i −1.47972 0.223032i
\(370\) −4.08207 + 5.11876i −0.212217 + 0.266111i
\(371\) −0.698877 0.586706i −0.0362839 0.0304602i
\(372\) −0.0171184 0.0214658i −0.000887547 0.00111295i
\(373\) −1.53893 2.66550i −0.0796825 0.138014i 0.823430 0.567417i \(-0.192057\pi\)
−0.903113 + 0.429403i \(0.858724\pi\)
\(374\) 23.2007 40.1848i 1.19968 2.07790i
\(375\) 0.545803 0.0822666i 0.0281852 0.00424823i
\(376\) 18.1419 16.8332i 0.935598 0.868108i
\(377\) 4.35843 + 2.09891i 0.224471 + 0.108099i
\(378\) 1.04586 1.07177i 0.0537932 0.0551257i
\(379\) −9.36756 + 4.51118i −0.481179 + 0.231724i −0.658718 0.752390i \(-0.728901\pi\)
0.177539 + 0.984114i \(0.443187\pi\)
\(380\) −0.000325076 0 0.000828280i −1.66760e−5 0 4.24899e-5i
\(381\) −0.0384314 + 0.512831i −0.00196890 + 0.0262732i
\(382\) 12.0990 + 3.73205i 0.619039 + 0.190948i
\(383\) −2.54447 33.9535i −0.130016 1.73494i −0.556849 0.830614i \(-0.687990\pi\)
0.426833 0.904330i \(-0.359629\pi\)
\(384\) −0.153343 + 0.671840i −0.00782526 + 0.0342847i
\(385\) 6.64725 + 7.53580i 0.338775 + 0.384060i
\(386\) −4.43423 19.4276i −0.225696 0.988840i
\(387\) 12.8290 3.95721i 0.652133 0.201156i
\(388\) −0.635843 1.62010i −0.0322800 0.0822482i
\(389\) 18.1015 + 16.7957i 0.917781 + 0.851576i 0.989305 0.145863i \(-0.0465958\pi\)
−0.0715241 + 0.997439i \(0.522786\pi\)
\(390\) 0.0671050 + 0.0457514i 0.00339799 + 0.00231671i
\(391\) 28.5633 1.44451
\(392\) −14.2681 14.6421i −0.720649 0.739536i
\(393\) 1.04472 0.0526991
\(394\) 28.8982 + 19.7024i 1.45587 + 0.992594i
\(395\) 10.6928 + 9.92150i 0.538015 + 0.499205i
\(396\) 0.693448 + 1.76688i 0.0348471 + 0.0887889i
\(397\) −9.65641 + 2.97861i −0.484641 + 0.149492i −0.527441 0.849592i \(-0.676848\pi\)
0.0427997 + 0.999084i \(0.486372\pi\)
\(398\) 1.50432 + 6.59086i 0.0754048 + 0.330370i
\(399\) −0.000357483 0.00127171i −1.78965e−5 6.36651e-5i
\(400\) −3.50004 + 15.3347i −0.175002 + 0.766734i
\(401\) −1.84046 24.5593i −0.0919083 1.22643i −0.832327 0.554285i \(-0.812992\pi\)
0.740419 0.672146i \(-0.234627\pi\)
\(402\) 1.45647 + 0.449260i 0.0726419 + 0.0224071i
\(403\) 0.206295 2.75282i 0.0102763 0.137128i
\(404\) 0.788476 2.00900i 0.0392282 0.0999517i
\(405\) −6.94222 + 3.34320i −0.344962 + 0.166125i
\(406\) 9.45785 + 14.6511i 0.469385 + 0.727123i
\(407\) 22.2180 + 10.6996i 1.10130 + 0.530360i
\(408\) −1.14432 + 1.06177i −0.0566522 + 0.0525656i
\(409\) 10.2483 1.54468i 0.506746 0.0763797i 0.109307 0.994008i \(-0.465137\pi\)
0.397439 + 0.917628i \(0.369899\pi\)
\(410\) 5.62462 9.74212i 0.277780 0.481129i
\(411\) 0.438133 + 0.758868i 0.0216115 + 0.0374322i
\(412\) 0.351605 + 0.440899i 0.0173223 + 0.0217215i
\(413\) 7.18590 1.45092i 0.353595 0.0713949i
\(414\) 9.42194 11.8147i 0.463063 0.580662i
\(415\) −4.26689 0.643130i −0.209453 0.0315700i
\(416\) 0.669559 0.456498i 0.0328278 0.0223816i
\(417\) −0.240740 + 0.164134i −0.0117891 + 0.00803768i
\(418\) −0.0428616 0.00646035i −0.00209643 0.000315986i
\(419\) 4.14300 5.19515i 0.202399 0.253800i −0.670265 0.742122i \(-0.733819\pi\)
0.872663 + 0.488322i \(0.162391\pi\)
\(420\) −0.00930560 0.0206362i −0.000454067 0.00100694i
\(421\) −15.6387 19.6103i −0.762183 0.955747i 0.237695 0.971340i \(-0.423608\pi\)
−0.999878 + 0.0155924i \(0.995037\pi\)
\(422\) −2.45251 4.24787i −0.119386 0.206783i
\(423\) 12.6902 21.9801i 0.617021 1.06871i
\(424\) 0.996046 0.150130i 0.0483722 0.00729094i
\(425\) −24.0882 + 22.3506i −1.16845 + 1.08416i
\(426\) −1.05222 0.506725i −0.0509805 0.0245509i
\(427\) 2.32835 + 18.6151i 0.112677 + 0.900846i
\(428\) 0.642561 0.309441i 0.0310593 0.0149574i
\(429\) 0.111761 0.284763i 0.00539588 0.0137485i
\(430\) −0.392623 + 5.23919i −0.0189340 + 0.252656i
\(431\) −2.24799 0.693415i −0.108282 0.0334006i 0.240141 0.970738i \(-0.422806\pi\)
−0.348423 + 0.937338i \(0.613283\pi\)
\(432\) 0.114622 + 1.52953i 0.00551477 + 0.0735895i
\(433\) 5.63168 24.6740i 0.270641 1.18576i −0.638617 0.769525i \(-0.720493\pi\)
0.909258 0.416233i \(-0.136650\pi\)
\(434\) 5.81097 8.07858i 0.278935 0.387784i
\(435\) 0.0641649 + 0.281125i 0.00307647 + 0.0134789i
\(436\) −0.969855 + 0.299161i −0.0464476 + 0.0143272i
\(437\) −0.00974817 0.0248379i −0.000466318 0.00118816i
\(438\) 0.490634 + 0.455242i 0.0234434 + 0.0217523i
\(439\) 4.30256 + 2.93344i 0.205350 + 0.140005i 0.661629 0.749832i \(-0.269866\pi\)
−0.456279 + 0.889837i \(0.650818\pi\)
\(440\) −11.0925 −0.528816
\(441\) −18.4085 10.0359i −0.876593 0.477898i
\(442\) −10.5102 −0.499918
\(443\) −20.7672 14.1588i −0.986678 0.672705i −0.0414580 0.999140i \(-0.513200\pi\)
−0.945220 + 0.326435i \(0.894153\pi\)
\(444\) −0.0407238 0.0377861i −0.00193266 0.00179325i
\(445\) −0.0513053 0.130724i −0.00243211 0.00619691i
\(446\) −2.30883 + 0.712180i −0.109326 + 0.0337227i
\(447\) 0.141523 + 0.620051i 0.00669379 + 0.0293274i
\(448\) 22.4316 1.11426i 1.05979 0.0526439i
\(449\) −4.12002 + 18.0510i −0.194436 + 0.851878i 0.779743 + 0.626100i \(0.215350\pi\)
−0.974179 + 0.225778i \(0.927507\pi\)
\(450\) 1.29917 + 17.3363i 0.0612436 + 0.817239i
\(451\) −40.4883 12.4890i −1.90652 0.588084i
\(452\) 0.0612253 0.816995i 0.00287979 0.0384282i
\(453\) 0.100213 0.255339i 0.00470843 0.0119969i
\(454\) −28.0831 + 13.5241i −1.31801 + 0.634718i
\(455\) 0.725399 2.15737i 0.0340072 0.101139i
\(456\) 0.00131383 0.000632705i 6.15255e−5 2.96291e-5i
\(457\) −21.4649 + 19.9165i −1.00408 + 0.931654i −0.997663 0.0683258i \(-0.978234\pi\)
−0.00642072 + 0.999979i \(0.502044\pi\)
\(458\) −27.4954 + 4.14426i −1.28477 + 0.193649i
\(459\) −1.60218 + 2.77506i −0.0747834 + 0.129529i
\(460\) −0.228621 0.395983i −0.0106595 0.0184628i
\(461\) −14.0844 17.6612i −0.655974 0.822565i 0.336924 0.941532i \(-0.390613\pi\)
−0.992898 + 0.118966i \(0.962042\pi\)
\(462\) 0.879208 0.665651i 0.0409044 0.0309689i
\(463\) −10.5261 + 13.1993i −0.489190 + 0.613425i −0.963753 0.266797i \(-0.914035\pi\)
0.474563 + 0.880222i \(0.342606\pi\)
\(464\) −17.6621 2.66213i −0.819942 0.123586i
\(465\) 0.135958 0.0926947i 0.00630491 0.00429861i
\(466\) 12.3060 8.39011i 0.570066 0.388664i
\(467\) −9.60465 1.44767i −0.444450 0.0669901i −0.0769953 0.997031i \(-0.524533\pi\)
−0.367455 + 0.930041i \(0.619771\pi\)
\(468\) 0.268055 0.336130i 0.0123908 0.0155376i
\(469\) 1.07486 42.7006i 0.0496326 1.97173i
\(470\) 6.19272 + 7.76543i 0.285649 + 0.358193i
\(471\) −0.787103 1.36330i −0.0362678 0.0628177i
\(472\) −4.04626 + 7.00832i −0.186244 + 0.322584i
\(473\) 19.5680 2.94939i 0.899735 0.135613i
\(474\) 1.17347 1.08882i 0.0538992 0.0500112i
\(475\) 0.0276564 + 0.0133186i 0.00126896 + 0.000611099i
\(476\) 2.49931 + 1.52810i 0.114556 + 0.0700402i
\(477\) 0.930719 0.448210i 0.0426147 0.0205221i
\(478\) 3.95763 10.0839i 0.181018 0.461226i
\(479\) −1.94530 + 25.9582i −0.0888828 + 1.18606i 0.757264 + 0.653109i \(0.226536\pi\)
−0.846147 + 0.532950i \(0.821083\pi\)
\(480\) 0.0461587 + 0.0142381i 0.00210685 + 0.000649876i
\(481\) −0.417416 5.57002i −0.0190325 0.253971i
\(482\) −4.26664 + 18.6934i −0.194340 + 0.851460i
\(483\) 0.625466 + 0.263828i 0.0284597 + 0.0120046i
\(484\) 0.271217 + 1.18828i 0.0123281 + 0.0540127i
\(485\) 9.96739 3.07453i 0.452596 0.139607i
\(486\) 0.929285 + 2.36778i 0.0421532 + 0.107405i
\(487\) −14.0455 13.0323i −0.636464 0.590552i 0.294505 0.955650i \(-0.404845\pi\)
−0.930969 + 0.365098i \(0.881036\pi\)
\(488\) −17.1106 11.6658i −0.774562 0.528087i
\(489\) 0.0375957 0.00170014
\(490\) 6.28782 5.27111i 0.284055 0.238124i
\(491\) −10.1787 −0.459358 −0.229679 0.973266i \(-0.573768\pi\)
−0.229679 + 0.973266i \(0.573768\pi\)
\(492\) 0.0788661 + 0.0537700i 0.00355556 + 0.00242414i
\(493\) −27.3541 25.3809i −1.23197 1.14310i
\(494\) 0.00358694 + 0.00913937i 0.000161384 + 0.000411200i
\(495\) −10.8704 + 3.35308i −0.488588 + 0.150710i
\(496\) 2.26811 + 9.93722i 0.101841 + 0.446194i
\(497\) −5.69087 + 32.2305i −0.255270 + 1.44574i
\(498\) −0.105375 + 0.461679i −0.00472198 + 0.0206884i
\(499\) 0.478948 + 6.39111i 0.0214406 + 0.286106i 0.997610 + 0.0690956i \(0.0220113\pi\)
−0.976169 + 0.217010i \(0.930370\pi\)
\(500\) 1.09264 + 0.337034i 0.0488642 + 0.0150726i
\(501\) 0.0477641 0.637368i 0.00213394 0.0284755i
\(502\) −8.25588 + 21.0356i −0.368478 + 0.938867i
\(503\) 37.1804 17.9051i 1.65779 0.798351i 0.658855 0.752270i \(-0.271041\pi\)
0.998938 0.0460812i \(-0.0146733\pi\)
\(504\) 21.7506 7.91083i 0.968850 0.352376i
\(505\) 11.6538 + 5.61216i 0.518586 + 0.249738i
\(506\) 16.3283 15.1504i 0.725881 0.673519i
\(507\) −0.0685162 + 0.0103272i −0.00304291 + 0.000458645i
\(508\) −0.532670 + 0.922612i −0.0236334 + 0.0409343i
\(509\) −2.03336 3.52189i −0.0901272 0.156105i 0.817437 0.576018i \(-0.195394\pi\)
−0.907565 + 0.419913i \(0.862061\pi\)
\(510\) −0.390612 0.489812i −0.0172966 0.0216892i
\(511\) 8.56094 16.6891i 0.378714 0.738283i
\(512\) −15.3128 + 19.2016i −0.676737 + 0.848601i
\(513\) 0.00295991 0.000446135i 0.000130683 1.96974e-5i
\(514\) 15.6353 10.6599i 0.689642 0.470190i
\(515\) −2.79253 + 1.90391i −0.123053 + 0.0838964i
\(516\) −0.0440823 0.00664434i −0.00194062 0.000292501i
\(517\) 23.3252 29.2488i 1.02584 1.28636i
\(518\) 9.19027 17.9160i 0.403797 0.787183i
\(519\) −0.225637 0.282940i −0.00990437 0.0124197i
\(520\) 1.25626 + 2.17591i 0.0550906 + 0.0954198i
\(521\) 12.2968 21.2987i 0.538733 0.933113i −0.460239 0.887795i \(-0.652236\pi\)
0.998973 0.0453184i \(-0.0144302\pi\)
\(522\) −19.5214 + 2.94238i −0.854429 + 0.128784i
\(523\) 3.89725 3.61612i 0.170415 0.158122i −0.590355 0.807144i \(-0.701012\pi\)
0.760770 + 0.649022i \(0.224822\pi\)
\(524\) 1.94988 + 0.939011i 0.0851807 + 0.0410209i
\(525\) −0.733915 + 0.266929i −0.0320307 + 0.0116497i
\(526\) 9.92845 4.78129i 0.432901 0.208474i
\(527\) −7.77962 + 19.8221i −0.338886 + 0.863466i
\(528\) −0.0844087 + 1.12636i −0.00367342 + 0.0490183i
\(529\) −8.87586 2.73784i −0.385907 0.119037i
\(530\) 0.0302104 + 0.403130i 0.00131226 + 0.0175108i
\(531\) −1.84674 + 8.09110i −0.0801417 + 0.351124i
\(532\) 0.000475823 0.00269485i 2.06295e−5 0.000116836i
\(533\) 2.13558 + 9.35658i 0.0925022 + 0.405279i
\(534\) −0.0147267 + 0.00454260i −0.000637289 + 0.000196578i
\(535\) 1.56160 + 3.97888i 0.0675137 + 0.172022i
\(536\) 34.5646 + 32.0713i 1.49296 + 1.38527i
\(537\) −0.738804 0.503708i −0.0318817 0.0217366i
\(538\) 21.7183 0.936343
\(539\) −24.6261 18.6717i −1.06072 0.804245i
\(540\) 0.0512954 0.00220740
\(541\) 21.7958 + 14.8601i 0.937076 + 0.638887i 0.932526 0.361102i \(-0.117599\pi\)
0.00454959 + 0.999990i \(0.498552\pi\)
\(542\) 15.9139 + 14.7659i 0.683560 + 0.634251i
\(543\) −0.196993 0.501930i −0.00845378 0.0215399i
\(544\) −5.97329 + 1.84252i −0.256103 + 0.0789973i
\(545\) −1.35357 5.93037i −0.0579805 0.254029i
\(546\) −0.230147 0.0970782i −0.00984936 0.00415456i
\(547\) 3.46260 15.1706i 0.148050 0.648650i −0.845376 0.534172i \(-0.820623\pi\)
0.993426 0.114478i \(-0.0365194\pi\)
\(548\) 0.135653 + 1.81016i 0.00579481 + 0.0773263i
\(549\) −20.2944 6.25999i −0.866143 0.267170i
\(550\) −1.91497 + 25.5535i −0.0816547 + 1.08961i
\(551\) −0.0127351 + 0.0324484i −0.000542532 + 0.00138235i
\(552\) −0.675145 + 0.325133i −0.0287361 + 0.0138386i
\(553\) −38.2743 23.4012i −1.62759 0.995120i
\(554\) −21.6445 10.4235i −0.919588 0.442850i
\(555\) 0.244070 0.226464i 0.0103602 0.00961285i
\(556\) −0.596847 + 0.0899603i −0.0253120 + 0.00381517i
\(557\) −19.8294 + 34.3456i −0.840200 + 1.45527i 0.0495262 + 0.998773i \(0.484229\pi\)
−0.889726 + 0.456495i \(0.849104\pi\)
\(558\) 5.63290 + 9.75646i 0.238460 + 0.413024i
\(559\) −2.79468 3.50441i −0.118202 0.148221i
\(560\) −0.211478 + 8.40129i −0.00893657 + 0.355019i
\(561\) −1.47126 + 1.84490i −0.0621165 + 0.0778916i
\(562\) −21.9065 3.30188i −0.924070 0.139281i
\(563\) 36.6116 24.9613i 1.54299 1.05200i 0.569864 0.821739i \(-0.306996\pi\)
0.973130 0.230256i \(-0.0739563\pi\)
\(564\) −0.0696338 + 0.0474755i −0.00293211 + 0.00199908i
\(565\) 4.85538 + 0.731831i 0.204267 + 0.0307884i
\(566\) −18.8087 + 23.5853i −0.790587 + 0.991364i
\(567\) 18.8934 14.3042i 0.793448 0.600722i
\(568\) −22.5262 28.2470i −0.945179 1.18522i
\(569\) −10.0903 17.4770i −0.423009 0.732673i 0.573223 0.819399i \(-0.305693\pi\)
−0.996232 + 0.0867261i \(0.972360\pi\)
\(570\) −0.000292618 0 0.000506830i −1.22564e−5 0 2.12288e-5i
\(571\) −41.7536 + 6.29335i −1.74734 + 0.263368i −0.943474 0.331448i \(-0.892463\pi\)
−0.803862 + 0.594816i \(0.797225\pi\)
\(572\) 0.464542 0.431032i 0.0194235 0.0180223i
\(573\) −0.580128 0.279375i −0.0242352 0.0116710i
\(574\) −11.0263 + 32.7927i −0.460229 + 1.36874i
\(575\) −14.2120 + 6.84413i −0.592681 + 0.285420i
\(576\) −9.28901 + 23.6680i −0.387042 + 0.986167i
\(577\) −1.92231 + 25.6514i −0.0800267 + 1.06788i 0.802199 + 0.597056i \(0.203663\pi\)
−0.882226 + 0.470826i \(0.843956\pi\)
\(578\) 55.3374 + 17.0693i 2.30173 + 0.709990i
\(579\) 0.0757305 + 1.01055i 0.00314725 + 0.0419972i
\(580\) −0.132922 + 0.582368i −0.00551927 + 0.0241815i
\(581\) 13.2546 0.658409i 0.549895 0.0273154i
\(582\) −0.254723 1.11601i −0.0105586 0.0462602i
\(583\) 1.45502 0.448813i 0.0602606 0.0185879i
\(584\) 7.56453 + 19.2741i 0.313022 + 0.797568i
\(585\) 1.88884 + 1.75259i 0.0780940 + 0.0724606i
\(586\) 21.8875 + 14.9226i 0.904165 + 0.616449i
\(587\) −26.4750 −1.09274 −0.546370 0.837544i \(-0.683991\pi\)
−0.546370 + 0.837544i \(0.683991\pi\)
\(588\) 0.0406142 + 0.0565466i 0.00167490 + 0.00233194i
\(589\) 0.0198919 0.000819630
\(590\) −2.68345 1.82954i −0.110476 0.0753211i
\(591\) −1.30385 1.20980i −0.0536332 0.0497644i
\(592\) 7.53479 + 19.1983i 0.309678 + 0.789046i
\(593\) −39.0655 + 12.0501i −1.60423 + 0.494838i −0.962314 0.271939i \(-0.912335\pi\)
−0.641912 + 0.766778i \(0.721859\pi\)
\(594\) 0.556045 + 2.43619i 0.0228148 + 0.0999581i
\(595\) −10.2521 + 14.2528i −0.420296 + 0.584309i
\(596\) −0.293173 + 1.28447i −0.0120088 + 0.0526141i
\(597\) −0.0256917 0.342832i −0.00105149 0.0140312i
\(598\) −4.82113 1.48712i −0.197151 0.0608129i
\(599\) 1.34189 17.9063i 0.0548282 0.731631i −0.900268 0.435336i \(-0.856630\pi\)
0.955096 0.296295i \(-0.0957512\pi\)
\(600\) 0.314954 0.802489i 0.0128579 0.0327615i
\(601\) −13.7429 + 6.61823i −0.560584 + 0.269963i −0.692645 0.721278i \(-0.743555\pi\)
0.132061 + 0.991242i \(0.457841\pi\)
\(602\) −2.00543 16.0333i −0.0817354 0.653469i
\(603\) 43.5670 + 20.9808i 1.77419 + 0.854403i
\(604\) 0.416543 0.386495i 0.0169489 0.0157263i
\(605\) −7.22328 + 1.08873i −0.293668 + 0.0442633i
\(606\) 0.709750 1.22932i 0.0288316 0.0499378i
\(607\) 4.60911 + 7.98321i 0.187078 + 0.324028i 0.944275 0.329158i \(-0.106765\pi\)
−0.757197 + 0.653187i \(0.773432\pi\)
\(608\) 0.00364078 + 0.00456540i 0.000147653 + 0.000185151i
\(609\) −0.364553 0.808437i −0.0147724 0.0327595i
\(610\) 5.18196 6.49797i 0.209811 0.263095i
\(611\) −8.37908 1.26294i −0.338981 0.0510932i
\(612\) −2.74010 + 1.86817i −0.110762 + 0.0755163i
\(613\) 29.4438 20.0744i 1.18922 0.810799i 0.203485 0.979078i \(-0.434773\pi\)
0.985739 + 0.168279i \(0.0538209\pi\)
\(614\) 24.2527 + 3.65550i 0.978757 + 0.147524i
\(615\) −0.356681 + 0.447264i −0.0143828 + 0.0180354i
\(616\) 33.4401 6.75193i 1.34734 0.272043i
\(617\) 4.94382 + 6.19935i 0.199031 + 0.249576i 0.871324 0.490709i \(-0.163262\pi\)
−0.672293 + 0.740285i \(0.734691\pi\)
\(618\) 0.185456 + 0.321219i 0.00746013 + 0.0129213i
\(619\) −18.0458 + 31.2562i −0.725322 + 1.25629i 0.233519 + 0.972352i \(0.424976\pi\)
−0.958841 + 0.283942i \(0.908358\pi\)
\(620\) 0.337069 0.0508050i 0.0135370 0.00204038i
\(621\) −1.12759 + 1.04625i −0.0452487 + 0.0419846i
\(622\) −19.1135 9.20458i −0.766382 0.369070i
\(623\) 0.234238 + 0.362858i 0.00938456 + 0.0145376i
\(624\) 0.230505 0.111005i 0.00922758 0.00444377i
\(625\) 5.27798 13.4481i 0.211119 0.537923i
\(626\) 2.04175 27.2453i 0.0816049 1.08894i
\(627\) 0.00210639 0.000649735i 8.41210e−5 2.59479e-5i
\(628\) −0.243700 3.25195i −0.00972468 0.129767i
\(629\) −9.58762 + 42.0061i −0.382283 + 1.67489i
\(630\) 2.51366 + 8.94207i 0.100146 + 0.356261i
\(631\) 4.05523 + 17.7671i 0.161436 + 0.707298i 0.989243 + 0.146284i \(0.0467314\pi\)
−0.827806 + 0.561014i \(0.810411\pi\)
\(632\) 47.3218 14.5968i 1.88236 0.580631i
\(633\) 0.0911311 + 0.232198i 0.00362214 + 0.00922905i
\(634\) −20.5106 19.0311i −0.814581 0.755820i
\(635\) −5.27546 3.59675i −0.209350 0.142733i
\(636\) −0.00343023 −0.000136017
\(637\) −0.873649 + 6.94527i −0.0346152 + 0.275182i
\(638\) −29.0994 −1.15206
\(639\) −30.6137 20.8721i −1.21106 0.825686i
\(640\) −6.27180 5.81938i −0.247915 0.230031i
\(641\) 6.16512 + 15.7085i 0.243508 + 0.620447i 0.999414 0.0342325i \(-0.0108987\pi\)
−0.755906 + 0.654680i \(0.772803\pi\)
\(642\) 0.448243 0.138265i 0.0176907 0.00545687i
\(643\) 4.98246 + 21.8296i 0.196489 + 0.860875i 0.973006 + 0.230779i \(0.0741273\pi\)
−0.776517 + 0.630096i \(0.783016\pi\)
\(644\) 0.930244 + 1.05459i 0.0366568 + 0.0415567i
\(645\) 0.0594538 0.260484i 0.00234099 0.0102565i
\(646\) −0.00565962 0.0755224i −0.000222675 0.00297139i
\(647\) −38.5157 11.8805i −1.51421 0.467072i −0.577267 0.816556i \(-0.695881\pi\)
−0.936942 + 0.349484i \(0.886357\pi\)
\(648\) −1.95489 + 26.0863i −0.0767955 + 1.02476i
\(649\) −4.46919 + 11.3873i −0.175431 + 0.446991i
\(650\) 5.22945 2.51837i 0.205116 0.0987785i
\(651\) −0.353444 + 0.362199i −0.0138525 + 0.0141957i
\(652\) 0.0701691 + 0.0337917i 0.00274804 + 0.00132338i
\(653\) 6.56810 6.09430i 0.257030 0.238489i −0.541124 0.840943i \(-0.682001\pi\)
0.798153 + 0.602454i \(0.205810\pi\)
\(654\) −0.660101 + 0.0994942i −0.0258120 + 0.00389053i
\(655\) −6.48535 + 11.2330i −0.253404 + 0.438908i
\(656\) −17.7180 30.6884i −0.691771 1.19818i
\(657\) 13.2393 + 16.6015i 0.516513 + 0.647687i
\(658\) −23.3956 19.6406i −0.912057 0.765670i
\(659\) −0.640024 + 0.802565i −0.0249318 + 0.0312635i −0.794141 0.607733i \(-0.792079\pi\)
0.769209 + 0.638997i \(0.220650\pi\)
\(660\) 0.0373524 + 0.00562997i 0.00145394 + 0.000219146i
\(661\) −31.9930 + 21.8125i −1.24438 + 0.848407i −0.992841 0.119440i \(-0.961890\pi\)
−0.251543 + 0.967846i \(0.580938\pi\)
\(662\) 33.8886 23.1048i 1.31712 0.897995i
\(663\) 0.528518 + 0.0796613i 0.0205259 + 0.00309379i
\(664\) −9.13393 + 11.4536i −0.354465 + 0.444485i
\(665\) 0.0158928 + 0.00405074i 0.000616295 + 0.000157081i
\(666\) 14.2125 + 17.8219i 0.550724 + 0.690586i
\(667\) −8.95639 15.5129i −0.346793 0.600663i
\(668\) 0.662025 1.14666i 0.0256145 0.0443656i
\(669\) 0.121501 0.0183133i 0.00469748 0.000708032i
\(670\) −13.8719 + 12.8712i −0.535918 + 0.497259i
\(671\) −28.2044 13.5825i −1.08882 0.524348i
\(672\) −0.147819 0.0148264i −0.00570224 0.000571939i
\(673\) 1.99528 0.960875i 0.0769123 0.0370390i −0.395032 0.918667i \(-0.629267\pi\)
0.471944 + 0.881628i \(0.343552\pi\)
\(674\) −8.63495 + 22.0015i −0.332606 + 0.847466i
\(675\) 0.132243 1.76466i 0.00509004 0.0679219i
\(676\) −0.137162 0.0423088i −0.00527545 0.00162726i
\(677\) 3.13931 + 41.8912i 0.120654 + 1.61001i 0.648870 + 0.760899i \(0.275242\pi\)
−0.528216 + 0.849110i \(0.677139\pi\)
\(678\) 0.119909 0.525355i 0.00460507 0.0201761i
\(679\) −28.1768 + 15.3357i −1.08132 + 0.588531i
\(680\) −4.31268 18.8951i −0.165384 0.724593i
\(681\) 1.51470 0.467224i 0.0580435 0.0179041i
\(682\) 6.06674 + 15.4578i 0.232308 + 0.591910i
\(683\) −2.04720 1.89952i −0.0783337 0.0726831i 0.640034 0.768346i \(-0.278920\pi\)
−0.718368 + 0.695663i \(0.755111\pi\)
\(684\) 0.00255966 + 0.00174515i 9.78711e−5 + 6.67274e-5i
\(685\) −10.8793 −0.415676
\(686\) −15.7471 + 19.7179i −0.601227 + 0.752832i
\(687\) 1.41405 0.0539495
\(688\) 13.6744 + 9.32302i 0.521330 + 0.355437i
\(689\) −0.252824 0.234586i −0.00963181 0.00893702i
\(690\) −0.109873 0.279951i −0.00418278 0.0106576i
\(691\) 5.00965 1.54527i 0.190576 0.0587849i −0.197998 0.980202i \(-0.563444\pi\)
0.388574 + 0.921417i \(0.372968\pi\)
\(692\) −0.166821 0.730889i −0.00634157 0.0277842i
\(693\) 30.7295 16.7251i 1.16732 0.635333i
\(694\) 0.782111 3.42665i 0.0296885 0.130074i
\(695\) −0.270336 3.60738i −0.0102544 0.136836i
\(696\) 0.935470 + 0.288554i 0.0354589 + 0.0109376i
\(697\) 5.53232 73.8236i 0.209551 2.79627i
\(698\) 3.69583 9.41682i 0.139889 0.356432i
\(699\) −0.682418 + 0.328635i −0.0258114 + 0.0124301i
\(700\) −1.60971 0.161455i −0.0608413 0.00610243i
\(701\) −16.1341 7.76979i −0.609378 0.293461i 0.103631 0.994616i \(-0.466954\pi\)
−0.713009 + 0.701155i \(0.752668\pi\)
\(702\) 0.414909 0.384979i 0.0156597 0.0145301i
\(703\) 0.0397995 0.00599881i 0.00150107 0.000226249i
\(704\) −18.7386 + 32.4562i −0.706237 + 1.22324i
\(705\) −0.252552 0.437433i −0.00951165 0.0164747i
\(706\) 5.40780 + 6.78116i 0.203525 + 0.255212i
\(707\) −38.5481 9.82513i −1.44975 0.369512i
\(708\) 0.0171822 0.0215458i 0.000645746 0.000809740i
\(709\) −47.4188 7.14723i −1.78085 0.268420i −0.825608 0.564244i \(-0.809168\pi\)
−0.955242 + 0.295824i \(0.904406\pi\)
\(710\) 11.9803 8.16804i 0.449613 0.306541i
\(711\) 41.9618 28.6091i 1.57369 1.07292i
\(712\) −0.471439 0.0710580i −0.0176679 0.00266301i
\(713\) −6.37331 + 7.99187i −0.238682 + 0.299298i
\(714\) 1.47570 + 1.23885i 0.0552268 + 0.0463627i
\(715\) 2.36802 + 2.96940i 0.0885590 + 0.111049i
\(716\) −0.926172 1.60418i −0.0346127 0.0599509i
\(717\) −0.275445 + 0.477085i −0.0102867 + 0.0178171i
\(718\) 2.66351 0.401460i 0.0994013 0.0149823i
\(719\) −31.2420 + 28.9883i −1.16513 + 1.08108i −0.169708 + 0.985494i \(0.554282\pi\)
−0.995421 + 0.0955869i \(0.969527\pi\)
\(720\) −8.57176 4.12794i −0.319451 0.153839i
\(721\) 7.25960 7.43942i 0.270361 0.277058i
\(722\) 23.3241 11.2323i 0.868034 0.418023i
\(723\) 0.356239 0.907683i 0.0132487 0.0337571i
\(724\) 0.0834729 1.11387i 0.00310225 0.0413966i
\(725\) 19.6919 + 6.07414i 0.731338 + 0.225588i
\(726\) 0.0599083 + 0.799421i 0.00222341 + 0.0296693i
\(727\) 3.98035 17.4391i 0.147623 0.646779i −0.845919 0.533312i \(-0.820947\pi\)
0.993542 0.113467i \(-0.0361957\pi\)
\(728\) −5.11164 5.79492i −0.189450 0.214774i
\(729\) 5.95045 + 26.0706i 0.220387 + 0.965579i
\(730\) −7.94056 + 2.44934i −0.293893 + 0.0906540i
\(731\) 12.6319 + 32.1855i 0.467206 + 1.19042i
\(732\) 0.0516965 + 0.0479673i 0.00191076 + 0.00177292i
\(733\) 1.64555 + 1.12192i 0.0607797 + 0.0414389i 0.593329 0.804960i \(-0.297813\pi\)
−0.532549 + 0.846399i \(0.678766\pi\)
\(734\) −41.0098 −1.51370
\(735\) −0.356144 + 0.217407i −0.0131366 + 0.00801916i
\(736\) −3.00072 −0.110608
\(737\) 58.8910 + 40.1512i 2.16928 + 1.47899i
\(738\) −28.7110 26.6399i −1.05687 0.980628i
\(739\) 8.98595 + 22.8958i 0.330553 + 0.842236i 0.995449 + 0.0952996i \(0.0303809\pi\)
−0.664895 + 0.746937i \(0.731524\pi\)
\(740\) 0.659084 0.203301i 0.0242284 0.00747348i
\(741\) −0.000111103 0 0.000486772i −4.08146e−6 0 1.78820e-5i
\(742\) −0.336456 1.19691i −0.0123517 0.0439398i
\(743\) −11.7359 + 51.4183i −0.430548 + 1.88635i 0.0315074 + 0.999504i \(0.489969\pi\)
−0.462056 + 0.886851i \(0.652888\pi\)
\(744\) −0.0417479 0.557086i −0.00153055 0.0204238i
\(745\) −7.54541 2.32745i −0.276443 0.0852712i
\(746\) 0.313391 4.18191i 0.0114740 0.153111i
\(747\) −5.48881 + 13.9853i −0.200825 + 0.511694i
\(748\) −4.40419 + 2.12095i −0.161033 + 0.0775496i
\(749\) −7.12958 11.0444i −0.260509 0.403554i
\(750\) 0.677590 + 0.326310i 0.0247421 + 0.0119152i
\(751\) −29.7301 + 27.5855i −1.08487 + 1.00661i −0.0849183 + 0.996388i \(0.527063\pi\)
−0.999948 + 0.0102207i \(0.996747\pi\)
\(752\) 30.9382 4.66319i 1.12820 0.170049i
\(753\) 0.574597 0.995231i 0.0209395 0.0362682i
\(754\) 3.29559 + 5.70814i 0.120018 + 0.207878i
\(755\) 2.12334 + 2.66259i 0.0772764 + 0.0969015i
\(756\) −0.154638 + 0.0312231i −0.00562412 + 0.00113557i
\(757\) 19.2049 24.0822i 0.698014 0.875282i −0.298860 0.954297i \(-0.596606\pi\)
0.996873 + 0.0790154i \(0.0251776\pi\)
\(758\) −14.0082 2.11139i −0.508800 0.0766892i
\(759\) −0.935923 + 0.638101i −0.0339718 + 0.0231616i
\(760\) −0.0149588 + 0.0101988i −0.000542613 + 0.000369948i
\(761\) −8.16878 1.23125i −0.296118 0.0446326i −0.000697009 1.00000i \(-0.500222\pi\)
−0.295421 + 0.955367i \(0.595460\pi\)
\(762\) −0.436881 + 0.547831i −0.0158265 + 0.0198458i
\(763\) 7.69030 + 17.0541i 0.278408 + 0.617399i
\(764\) −0.831651 1.04286i −0.0300881 0.0377292i
\(765\) −9.93797 17.2131i −0.359308 0.622340i
\(766\) 23.1960 40.1767i 0.838107 1.45164i
\(767\) 2.73988 0.412970i 0.0989313 0.0149115i
\(768\) 0.174056 0.161501i 0.00628071 0.00582765i
\(769\) 25.5274 + 12.2934i 0.920542 + 0.443310i 0.833265 0.552874i \(-0.186469\pi\)
0.0872777 + 0.996184i \(0.472183\pi\)
\(770\) 1.69927 + 13.5856i 0.0612374 + 0.489589i
\(771\) −0.867037 + 0.417543i −0.0312256 + 0.0150374i
\(772\)