Properties

Label 637.2.bl.b.625.20
Level $637$
Weight $2$
Character 637.625
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 625.20
Character \(\chi\) \(=\) 637.625
Dual form 637.2.bl.b.53.20

$q$-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})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 348q + 3q^{2} + 31q^{4} + q^{5} - 4q^{6} + 27q^{7} - 12q^{8} + 13q^{9} + O(q^{10}) \) \( 348q + 3q^{2} + 31q^{4} + q^{5} - 4q^{6} + 27q^{7} - 12q^{8} + 13q^{9} - 5q^{10} + 2q^{11} - 40q^{12} - 58q^{13} - 45q^{14} - 14q^{15} + 27q^{16} - 12q^{17} - 59q^{18} - 24q^{19} - 99q^{20} - 2q^{21} - 10q^{22} - 14q^{23} + 28q^{25} + 3q^{26} - 9q^{27} - 37q^{28} - 26q^{29} - 83q^{30} - 49q^{31} + 33q^{32} + 2q^{33} - 130q^{34} - 38q^{35} - 74q^{36} - 4q^{37} + 92q^{38} + 24q^{40} + 20q^{41} - 52q^{42} + 2q^{43} + 226q^{44} - 23q^{45} + 71q^{46} + 24q^{47} + 86q^{48} + 25q^{49} + 114q^{50} - 54q^{51} + 31q^{52} + 36q^{53} + 75q^{54} + 38q^{55} + 126q^{56} + 27q^{57} - 33q^{58} + q^{59} - 179q^{60} - 15q^{61} + 158q^{62} - 5q^{63} - 24q^{64} + q^{65} - 150q^{66} - 151q^{67} + 140q^{68} - 98q^{69} - 126q^{70} - 31q^{71} - 149q^{72} - 9q^{73} + 39q^{74} + 85q^{75} - 81q^{76} + 46q^{77} - 25q^{78} - 69q^{79} - 64q^{80} + 71q^{81} - 52q^{82} - q^{83} - 47q^{84} + 62q^{85} + 97q^{86} + 150q^{87} - 12q^{88} + 23q^{89} + 107q^{90} - q^{91} - 43q^{92} + 316q^{93} - 86q^{94} - 29q^{95} + 177q^{96} + 114q^{97} - 336q^{98} + 102q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(197\) \(248\)
\(\chi(n)\) \(1\) \(e\left(\frac{16}{21}\right)\)

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 −0.0956317 0.995417i \(-0.530487\pi\)
0.891669 + 0.452688i \(0.149535\pi\)
\(3\) −0.0507932 + 0.0471292i −0.0293255 + 0.0272101i −0.694699 0.719300i \(-0.744463\pi\)
0.665374 + 0.746510i \(0.268272\pi\)
\(4\) −0.0524406 + 0.133616i −0.0262203 + 0.0668082i
\(5\) 0.822051 + 0.253569i 0.367633 + 0.113400i 0.473067 0.881027i \(-0.343147\pi\)
−0.105434 + 0.994426i \(0.533623\pi\)
\(6\) −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 0.793985 + 0.607937i \(0.208003\pi\)
−0.694509 + 0.719484i \(0.744378\pi\)
\(12\) −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 0.977672 0.210139i \(-0.0673917\pi\)
0.872297 + 0.488977i \(0.162630\pi\)
\(18\) 2.04051 + 3.53427i 0.480953 + 0.833035i
\(19\) −0.00360290 + 0.00624041i −0.000826562 + 0.00143165i −0.866438 0.499284i \(-0.833596\pi\)
0.865612 + 0.500716i \(0.166930\pi\)
\(20\) −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 0.244254 0.969711i \(-0.421457\pi\)
0.519230 + 0.854634i \(0.326219\pi\)
\(24\) −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 −0.978573 0.205901i \(-0.933988\pi\)
0.418492 + 0.908221i \(0.362559\pi\)
\(30\) −0.0406087 + 0.0703364i −0.00741410 + 0.0128416i
\(31\) −1.38027 2.39069i −0.247903 0.429381i 0.715041 0.699083i \(-0.246408\pi\)
−0.962944 + 0.269702i \(0.913075\pi\)
\(32\) −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 −0.994698 0.102842i \(-0.967206\pi\)
0.659214 0.751955i \(-0.270889\pi\)
\(38\) 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 0.812260 + 0.583295i \(0.198237\pi\)
−0.478739 + 0.877957i \(0.658906\pi\)
\(42\) 0.165234 0.187321i 0.0254962 0.0289043i
\(43\) 0.997409 4.36993i 0.152103 0.666409i −0.840168 0.542326i \(-0.817544\pi\)
0.992272 0.124083i \(-0.0395989\pi\)
\(44\) −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 0.0677580 0.997702i \(-0.478415\pi\)
0.953489 + 0.301427i \(0.0974630\pi\)
\(48\) −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 −0.921959 0.387288i \(-0.873412\pi\)
0.939266 + 0.343189i \(0.111507\pi\)
\(54\) −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 −0.462273 0.886737i \(-0.652966\pi\)
0.117569 + 0.993065i \(0.462490\pi\)
\(60\) −0.000639397 0.00853216i −8.25458e−5 0.00110150i
\(61\) 2.59051 + 6.60050i 0.331680 + 0.845108i 0.995282 + 0.0970218i \(0.0309317\pi\)
−0.663602 + 0.748086i \(0.730973\pi\)
\(62\) −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 −0.636581 0.771210i \(-0.719652\pi\)
−0.349596 0.936900i \(-0.613681\pi\)
\(68\) −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 0.988611 + 0.150494i \(0.0480864\pi\)
−0.0732659 + 0.997312i \(0.523342\pi\)
\(72\) −8.65012 + 1.30380i −1.01943 + 0.153654i
\(73\) −5.85753 3.99360i −0.685572 0.467415i 0.169767 0.985484i \(-0.445699\pi\)
−0.855339 + 0.518069i \(0.826651\pi\)
\(74\) −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 0.216866 0.976201i \(-0.430417\pi\)
0.736982 0.675912i \(-0.236250\pi\)
\(80\) 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 −0.665144 0.746715i \(-0.731630\pi\)
0.169095 + 0.985600i \(0.445916\pi\)
\(84\) −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 −0.997813 0.0660997i \(-0.978944\pi\)
0.996520 + 0.0833549i \(0.0265635\pi\)
\(90\) 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 0.0969679 0.995288i \(-0.469086\pi\)
0.999751 0.0223188i \(-0.00710490\pi\)
\(102\) −0.266060 + 0.677909i −0.0263438 + 0.0671230i
\(103\) −3.75423 1.15803i −0.369915 0.114104i 0.104224 0.994554i \(-0.466764\pi\)
−0.474139 + 0.880450i \(0.657240\pi\)
\(104\) 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 −0.950069 0.312038i \(-0.898988\pi\)
0.985965 0.166953i \(-0.0533927\pi\)
\(108\) 0.0569780 0.0175754i 0.00548271 0.00169119i
\(109\) 0.528408 + 7.05112i 0.0506123 + 0.675375i 0.963593 + 0.267372i \(0.0861554\pi\)
−0.912981 + 0.408002i \(0.866226\pi\)
\(110\) 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 −0.176071 0.984377i \(-0.556339\pi\)
0.659839 + 0.751407i \(0.270625\pi\)
\(114\) −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 −0.943539 0.331261i \(-0.892526\pi\)
0.532913 + 0.846170i \(0.321097\pi\)
\(128\) −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 0.0289551 0.999581i \(-0.490782\pi\)
−0.994622 + 0.103573i \(0.966973\pi\)
\(132\) 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 −0.764267 0.644900i \(-0.776899\pi\)
−0.268181 + 0.963368i \(0.586423\pi\)
\(138\) −0.0261247 + 0.348610i −0.00222388 + 0.0296757i
\(139\) 0.935714 + 4.09963i 0.0793663 + 0.347726i 0.998983 0.0450908i \(-0.0143577\pi\)
−0.919617 + 0.392817i \(0.871501\pi\)
\(140\) 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 −0.832635 0.553822i \(-0.813169\pi\)
0.211342 + 0.977412i \(0.432217\pi\)
\(150\) 0.294816 0.273550i 0.0240717 0.0223352i
\(151\) 1.44629 3.68508i 0.117697 0.299887i −0.859869 0.510514i \(-0.829455\pi\)
0.977567 + 0.210627i \(0.0675504\pi\)
\(152\) −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 0.741922 0.670487i \(-0.233915\pi\)
0.990703 + 0.136043i \(0.0434384\pi\)
\(158\) −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 0.664442 0.747340i \(-0.268669\pi\)
−0.695596 + 0.718433i \(0.744860\pi\)
\(164\) −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 −0.507818 0.861464i \(-0.669548\pi\)
0.952866 + 0.303392i \(0.0981193\pi\)
\(168\) 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 0.0502515 0.998737i \(-0.483998\pi\)
0.342402 + 0.939554i \(0.388760\pi\)
\(174\) −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 0.607454 0.794355i \(-0.292191\pi\)
0.346326 + 0.938114i \(0.387429\pi\)
\(180\) −0.271122 0.251564i −0.0202082 0.0187505i
\(181\) 7.01118 3.37641i 0.521137 0.250966i −0.154774 0.987950i \(-0.549465\pi\)
0.675911 + 0.736984i \(0.263751\pi\)
\(182\) 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 0.598860 0.800854i \(-0.295621\pi\)
0.0436645 + 0.999046i \(0.486097\pi\)
\(192\) 0.214889 0.547529i 0.0155083 0.0395145i
\(193\) −10.7211 + 9.94771i −0.771721 + 0.716052i −0.964179 0.265253i \(-0.914545\pi\)
0.192458 + 0.981305i \(0.438354\pi\)
\(194\) 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 −0.540657 0.841243i \(-0.681824\pi\)
0.798488 + 0.602011i \(0.205634\pi\)
\(200\) 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 −0.542184 0.840260i \(-0.682402\pi\)
0.318896 + 0.947790i \(0.396688\pi\)
\(212\) 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 0.743433 0.668811i \(-0.233196\pi\)
−0.817472 + 0.575969i \(0.804625\pi\)
\(224\) 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 −0.943265 0.332041i \(-0.892263\pi\)
0.184076 0.982912i \(-0.441071\pi\)
\(228\) 7.08671e−5 0 1.06815e-5i 4.69329e−6 0 7.07399e-7i
\(229\) −14.9599 13.8808i −0.988580 0.917268i 0.00799461 0.999968i \(-0.497455\pi\)
−0.996574 + 0.0827000i \(0.973646\pi\)
\(230\) 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 0.999970 0.00780474i \(-0.00248435\pi\)
−0.738338 + 0.674431i \(0.764389\pi\)
\(234\) −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 0.884927 + 0.465729i \(0.154208\pi\)
−0.999364 + 0.0356516i \(0.988649\pi\)
\(240\) −0.210315 0.0648734i −0.0135757 0.00418756i
\(241\) 5.14127 13.0997i 0.331178 0.843829i −0.664178 0.747574i \(-0.731218\pi\)
0.995357 0.0962547i \(-0.0306863\pi\)
\(242\) −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 −0.714235 0.699906i \(-0.753225\pi\)
0.947181 0.320699i \(-0.103918\pi\)
\(252\) 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 0.997263 + 0.0739420i \(0.0235580\pi\)
−0.680752 + 0.732514i \(0.738347\pi\)
\(258\) 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 0.963347 0.268257i \(-0.0864476\pi\)
−0.713991 + 0.700155i \(0.753114\pi\)
\(264\) 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 0.893837 0.448393i \(-0.148003\pi\)
−0.0908418 + 0.995865i \(0.528956\pi\)
\(270\) −0.402308 0.274289i −0.0244837 0.0166927i
\(271\) 15.7551 2.37470i 0.957054 0.144253i 0.348099 0.937458i \(-0.386827\pi\)
0.608955 + 0.793205i \(0.291589\pi\)
\(272\) 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 −0.397363 0.917662i \(-0.630074\pi\)
−0.650194 + 0.759768i \(0.725313\pi\)
\(278\) 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 −0.0575113 0.998345i \(-0.518317\pi\)
−0.816395 + 0.577494i \(0.804031\pi\)
\(282\) 0.292272 + 0.744696i 0.0174045 + 0.0443460i
\(283\) −1.65455 22.0785i −0.0983530 1.31243i −0.800041 0.599946i \(-0.795189\pi\)
0.701688 0.712485i \(-0.252430\pi\)
\(284\) −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 0.835076 0.550135i \(-0.185424\pi\)
0.0905486 + 0.995892i \(0.471138\pi\)
\(308\) 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 −0.302782 0.953060i \(-0.597915\pi\)
−0.570249 + 0.821472i \(0.693153\pi\)
\(312\) 0.101185 + 0.175257i 0.00572846 + 0.00992199i
\(313\) −10.0262 + 17.3658i −0.566713 + 0.981575i 0.430176 + 0.902745i \(0.358452\pi\)
−0.996888 + 0.0788297i \(0.974882\pi\)
\(314\) 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 −0.692010 0.721888i \(-0.743275\pi\)
−0.448485 + 0.893790i \(0.648036\pi\)
\(318\) 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 0.825179 + 0.564871i \(0.191074\pi\)
−0.220690 + 0.975344i \(0.570831\pi\)
\(332\) −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 −0.754116 0.656741i \(-0.771934\pi\)
0.964384 0.264505i \(-0.0852086\pi\)
\(338\) 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 −0.953936 0.300010i \(-0.903010\pi\)
0.903343 + 0.428918i \(0.141105\pi\)
\(348\) 0.0459753 + 0.0141815i 0.00246453 + 0.000760208i
\(349\) −1.65212 + 7.23841i −0.0884359 + 0.387463i −0.999703 0.0243518i \(-0.992248\pi\)
0.911268 + 0.411815i \(0.135105\pi\)
\(350\) 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 −0.128614 0.991695i \(-0.541053\pi\)
0.452375 + 0.891828i \(0.350577\pi\)
\(354\) −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 0.717489 0.696570i \(-0.245291\pi\)
−0.641004 + 0.767538i \(0.721482\pi\)
\(360\) −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 −0.300491 0.953785i \(-0.597151\pi\)
−0.997635 + 0.0687374i \(0.978103\pi\)
\(368\) 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 −0.903113 0.429403i \(-0.858724\pi\)
0.823430 + 0.567417i \(0.192057\pi\)
\(374\) 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 0.177539 0.984114i \(-0.443187\pi\)
−0.658718 + 0.752390i \(0.728901\pi\)
\(380\) −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 0.426833 + 0.904330i \(0.359629\pi\)
−0.556849 + 0.830614i \(0.687990\pi\)
\(384\) −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 −0.0715241 0.997439i \(-0.522786\pi\)
0.989305 + 0.145863i \(0.0465958\pi\)
\(390\) 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 0.0427997 0.999084i \(-0.486372\pi\)
−0.527441 + 0.849592i \(0.676848\pi\)
\(398\) 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 0.740419 + 0.672146i \(0.234627\pi\)
−0.832327 + 0.554285i \(0.812992\pi\)
\(402\) 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 0.397439 0.917628i \(-0.369899\pi\)
0.109307 + 0.994008i \(0.465137\pi\)
\(410\) 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 0.872663 0.488322i \(-0.162391\pi\)
−0.670265 + 0.742122i \(0.733819\pi\)
\(420\) −0.00930560 + 0.0206362i −0.000454067 + 0.00100694i
\(421\) −15.6387 + 19.6103i −0.762183 + 0.955747i −0.999878 0.0155924i \(-0.995037\pi\)
0.237695 + 0.971340i \(0.423608\pi\)
\(422\) −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 −0.348423 0.937338i \(-0.613283\pi\)
0.240141 + 0.970738i \(0.422806\pi\)
\(432\) 0.114622 1.52953i 0.00551477 0.0735895i
\(433\) 5.63168 + 24.6740i 0.270641 + 1.18576i 0.909258 + 0.416233i \(0.136650\pi\)
−0.638617 + 0.769525i \(0.720493\pi\)
\(434\) 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 −0.456279 0.889837i \(-0.650818\pi\)
0.661629 + 0.749832i \(0.269866\pi\)
\(440\) −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 −0.945220 0.326435i \(-0.894153\pi\)
−0.0414580 + 0.999140i \(0.513200\pi\)
\(444\) −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 −0.974179 0.225778i \(-0.927507\pi\)
0.779743 0.626100i \(-0.215350\pi\)
\(450\) 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 −0.00642072 0.999979i \(-0.502044\pi\)
−0.997663 + 0.0683258i \(0.978234\pi\)
\(458\) −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 −0.992898 0.118966i \(-0.962042\pi\)
0.336924 + 0.941532i \(0.390613\pi\)
\(462\) 0.879208 + 0.665651i 0.0409044 + 0.0309689i
\(463\) −10.5261 13.1993i −0.489190 0.613425i 0.474563 0.880222i \(-0.342606\pi\)
−0.963753 + 0.266797i \(0.914035\pi\)
\(464\) −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 −0.367455 0.930041i \(-0.619771\pi\)
−0.0769953 + 0.997031i \(0.524533\pi\)
\(468\) 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 −0.846147 0.532950i \(-0.821083\pi\)
0.757264 0.653109i \(-0.226536\pi\)
\(480\) 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 −0.930969 0.365098i \(-0.881036\pi\)
0.294505 + 0.955650i \(0.404845\pi\)
\(488\) −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 −0.976169 0.217010i \(-0.930370\pi\)
0.997610 0.0690956i \(-0.0220113\pi\)
\(500\) 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 0.998938 + 0.0460812i \(0.0146733\pi\)
0.658855 + 0.752270i \(0.271041\pi\)
\(504\) 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 −0.907565 0.419913i \(-0.862061\pi\)
0.817437 + 0.576018i \(0.195394\pi\)
\(510\) −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 0.998973 + 0.0453184i \(0.0144302\pi\)
−0.460239 + 0.887795i \(0.652236\pi\)
\(522\) −19.5214 2.94238i −0.854429 0.128784i
\(523\) 3.89725 + 3.61612i 0.170415 + 0.158122i 0.760770 0.649022i \(-0.224822\pi\)
−0.590355 + 0.807144i \(0.701012\pi\)
\(524\) 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 0.00454959 0.999990i \(-0.498552\pi\)
0.932526 + 0.361102i \(0.117599\pi\)
\(542\) 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 0.993426 + 0.114478i \(0.0365194\pi\)
−0.845376 + 0.534172i \(0.820623\pi\)
\(548\) 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 −0.889726 0.456495i \(-0.849104\pi\)
0.0495262 0.998773i \(-0.484229\pi\)
\(558\) 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 0.973130 + 0.230256i \(0.0739563\pi\)
0.569864 + 0.821739i \(0.306996\pi\)
\(564\) −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 −0.996232 0.0867261i \(-0.972360\pi\)
0.573223 + 0.819399i \(0.305693\pi\)
\(570\) −0.000292618 0 0.000506830i −1.22564e−5 0 2.12288e-5i
\(571\) −41.7536 6.29335i −1.74734 0.263368i −0.803862 0.594816i \(-0.797225\pi\)
−0.943474 + 0.331448i \(0.892463\pi\)
\(572\) 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 −0.882226 0.470826i \(-0.843956\pi\)
0.802199 0.597056i \(-0.203663\pi\)
\(578\) 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 −0.641912 0.766778i \(-0.721859\pi\)
−0.962314 + 0.271939i \(0.912335\pi\)
\(594\) 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 0.955096 + 0.296295i \(0.0957512\pi\)
−0.900268 + 0.435336i \(0.856630\pi\)
\(600\) 0.314954 + 0.802489i 0.0128579 + 0.0327615i
\(601\) −13.7429 6.61823i −0.560584 0.269963i 0.132061 0.991242i \(-0.457841\pi\)
−0.692645 + 0.721278i \(0.743555\pi\)
\(602\) −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 −0.757197 0.653187i \(-0.773432\pi\)
0.944275 + 0.329158i \(0.106765\pi\)
\(608\) 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 0.985739 0.168279i \(-0.0538209\pi\)
0.203485 + 0.979078i \(0.434773\pi\)
\(614\) 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 −0.672293 0.740285i \(-0.734691\pi\)
0.871324 + 0.490709i \(0.163262\pi\)
\(618\) 0.185456 0.321219i 0.00746013 0.0129213i
\(619\) −18.0458 31.2562i −0.725322 1.25629i −0.958841 0.283942i \(-0.908358\pi\)
0.233519 0.972352i \(-0.424976\pi\)
\(620\) 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 −0.827806 0.561014i \(-0.810411\pi\)
0.989243 0.146284i \(-0.0467314\pi\)
\(632\) 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 −0.755906 0.654680i \(-0.772803\pi\)
0.999414 + 0.0342325i \(0.0108987\pi\)
\(642\) 0.448243 + 0.138265i 0.0176907 + 0.00545687i
\(643\) 4.98246 21.8296i 0.196489 0.860875i −0.776517 0.630096i \(-0.783016\pi\)
0.973006 0.230779i \(-0.0741273\pi\)
\(644\) 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 −0.936942 0.349484i \(-0.886357\pi\)
−0.577267 + 0.816556i \(0.695881\pi\)
\(648\) −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 0.798153 0.602454i \(-0.205810\pi\)
−0.541124 + 0.840943i \(0.682001\pi\)
\(654\) −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 0.769209 0.638997i \(-0.220650\pi\)
−0.794141 + 0.607733i \(0.792079\pi\)
\(660\) 0.0373524 0.00562997i 0.00145394 0.000219146i
\(661\) −31.9930 21.8125i −1.24438 0.848407i −0.251543 0.967846i \(-0.580938\pi\)
−0.992841 + 0.119440i \(0.961890\pi\)
\(662\) 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 0.471944 0.881628i \(-0.343552\pi\)
−0.395032 + 0.918667i \(0.629267\pi\)
\(674\) −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 −0.528216 0.849110i \(-0.677139\pi\)
0.648870 0.760899i \(-0.275242\pi\)
\(678\) 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 −0.718368 0.695663i \(-0.755111\pi\)
0.640034 + 0.768346i \(0.278920\pi\)
\(684\) 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 0.388574 0.921417i \(-0.372968\pi\)
−0.197998 + 0.980202i \(0.563444\pi\)
\(692\) −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 −0.713009 0.701155i \(-0.752668\pi\)
0.103631 + 0.994616i \(0.466954\pi\)
\(702\) 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 −0.955242 0.295824i \(-0.904406\pi\)
−0.825608 + 0.564244i \(0.809168\pi\)
\(710\) 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 −0.995421 0.0955869i \(-0.969527\pi\)
−0.169708 0.985494i \(-0.554282\pi\)
\(720\) −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 0.993542 + 0.113467i \(0.0361957\pi\)
−0.845919 + 0.533312i \(0.820947\pi\)
\(728\) −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 −0.532549 0.846399i \(-0.678766\pi\)
0.593329 + 0.804960i \(0.297813\pi\)
\(734\) −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 −0.664895 0.746937i \(-0.731524\pi\)
0.995449 0.0952996i \(-0.0303809\pi\)
\(740\) 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 −0.462056 0.886851i \(-0.652888\pi\)
0.0315074 0.999504i \(-0.489969\pi\)
\(744\) −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 −0.999948 0.0102207i \(-0.996747\pi\)
−0.0849183 0.996388i \(-0.527063\pi\)
\(752\) 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 0.996873 0.0790154i \(-0.0251776\pi\)
−0.298860 + 0.954297i \(0.596606\pi\)
\(758\) −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 −0.295421 0.955367i \(-0.595460\pi\)
−0.000697009 1.00000i \(0.500222\pi\)
\(762\) −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 0.0872777 0.996184i \(-0.472183\pi\)
0.833265 + 0.552874i \(0.186469\pi\)
\(770\) 1.69927 13.5856i 0.0612374 0.489589i
\(771\) −0.867037 0.417543i −0.0312256 0.0150374i