Properties

Label 605.2.s.b.16.17
Level $605$
Weight $2$
Character 605.16
Analytic conductor $4.831$
Analytic rank $0$
Dimension $880$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 605 = 5 \cdot 11^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 605.s (of order \(55\), degree \(40\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.83094932229\)
Analytic rank: \(0\)
Dimension: \(880\)
Relative dimension: \(22\) over \(\Q(\zeta_{55})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{55}]$

Embedding invariants

Embedding label 16.17
Character \(\chi\) \(=\) 605.16
Dual form 605.2.s.b.416.17

$q$-expansion

\(f(q)\) \(=\) \(q+(1.82551 + 0.209458i) q^{2} +(2.66801 + 1.93842i) q^{3} +(1.34058 + 0.311739i) q^{4} +(-0.564443 + 0.825472i) q^{5} +(4.46445 + 4.09744i) q^{6} +(0.0611421 + 0.0629137i) q^{7} +(-1.07930 - 0.385094i) q^{8} +(2.43374 + 7.49028i) q^{9} +O(q^{10})\) \(q+(1.82551 + 0.209458i) q^{2} +(2.66801 + 1.93842i) q^{3} +(1.34058 + 0.311739i) q^{4} +(-0.564443 + 0.825472i) q^{5} +(4.46445 + 4.09744i) q^{6} +(0.0611421 + 0.0629137i) q^{7} +(-1.07930 - 0.385094i) q^{8} +(2.43374 + 7.49028i) q^{9} +(-1.20330 + 1.38868i) q^{10} +(-1.66821 - 2.86654i) q^{11} +(2.97240 + 3.43034i) q^{12} +(2.98135 - 4.94401i) q^{13} +(0.0984377 + 0.127656i) q^{14} +(-3.10605 + 1.10824i) q^{15} +(-4.35988 - 2.14361i) q^{16} +(2.50624 - 2.04935i) q^{17} +(2.87391 + 14.1833i) q^{18} +(-2.24278 - 0.128247i) q^{19} +(-1.01401 + 0.930654i) q^{20} +(0.0411743 + 0.286374i) q^{21} +(-2.44491 - 5.58232i) q^{22} +(-1.19183 + 8.28939i) q^{23} +(-2.13311 - 3.11957i) q^{24} +(-0.362808 - 0.931864i) q^{25} +(6.47803 - 8.40086i) q^{26} +(-4.96881 + 15.2924i) q^{27} +(0.0623534 + 0.103401i) q^{28} +(1.08524 - 2.78741i) q^{29} +(-5.90225 + 1.37251i) q^{30} +(-5.87266 - 2.48181i) q^{31} +(-5.58195 - 3.58730i) q^{32} +(1.10577 - 10.8817i) q^{33} +(5.00442 - 3.21614i) q^{34} +(-0.0864448 + 0.0149599i) q^{35} +(0.927615 + 10.8000i) q^{36} +(-0.512511 + 5.96705i) q^{37} +(-4.06736 - 0.703884i) q^{38} +(17.5378 - 7.41155i) q^{39} +(0.927089 - 0.673569i) q^{40} +(2.73780 - 1.54611i) q^{41} +(0.0151809 + 0.531401i) q^{42} +(2.87368 - 0.843789i) q^{43} +(-1.34276 - 4.36289i) q^{44} +(-7.55672 - 2.21885i) q^{45} +(-3.91198 + 14.8827i) q^{46} +(0.100800 - 0.497467i) q^{47} +(-7.47698 - 14.1705i) q^{48} +(0.199673 - 6.98945i) q^{49} +(-0.467122 - 1.77712i) q^{50} +(10.6592 - 0.609513i) q^{51} +(5.53798 - 5.69845i) q^{52} +(12.2516 - 6.02368i) q^{53} +(-12.2737 + 26.8757i) q^{54} +(3.30786 + 0.240940i) q^{55} +(-0.0417631 - 0.0914483i) q^{56} +(-5.73517 - 4.68962i) q^{57} +(2.56496 - 4.86113i) q^{58} +(0.416416 + 0.235161i) q^{59} +(-4.50940 + 0.517405i) q^{60} +(-11.5463 + 1.32481i) q^{61} +(-10.2008 - 5.76063i) q^{62} +(-0.322437 + 0.611087i) q^{63} +(-1.91639 - 1.56702i) q^{64} +(2.39834 + 5.25163i) q^{65} +(4.29784 - 19.6329i) q^{66} +(-3.04941 + 6.67727i) q^{67} +(3.99869 - 1.96602i) q^{68} +(-19.2481 + 19.8059i) q^{69} +(-0.160939 + 0.00920283i) q^{70} +(-3.09988 - 11.7932i) q^{71} +(0.257723 - 9.02148i) q^{72} +(4.79491 + 9.08736i) q^{73} +(-2.18544 + 10.7856i) q^{74} +(0.838371 - 3.18949i) q^{75} +(-2.96666 - 0.871089i) q^{76} +(0.0783471 - 0.280220i) q^{77} +(33.5678 - 9.85641i) q^{78} +(0.0917263 + 3.21084i) q^{79} +(4.23040 - 2.38902i) q^{80} +(-23.7852 + 17.2809i) q^{81} +(5.32172 - 2.24898i) q^{82} +(-4.59426 - 0.795067i) q^{83} +(-0.0340763 + 0.396743i) q^{84} +(0.277045 + 3.22557i) q^{85} +(5.42267 - 0.938430i) q^{86} +(8.29860 - 5.33319i) q^{87} +(0.696614 + 3.73628i) q^{88} +(8.52930 + 5.48145i) q^{89} +(-13.3301 - 5.63335i) q^{90} +(0.493332 - 0.114719i) q^{91} +(-4.18188 + 10.7411i) q^{92} +(-10.8575 - 18.0052i) q^{93} +(0.288209 - 0.887016i) q^{94} +(1.37179 - 1.77897i) q^{95} +(-7.93898 - 20.3911i) q^{96} +(-1.54148 - 2.25434i) q^{97} +(1.82850 - 12.7175i) q^{98} +(17.4112 - 19.4718i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 880q + 4q^{2} - q^{3} + 24q^{4} + 22q^{5} - 13q^{6} + 3q^{7} + 2q^{8} - 217q^{9} + O(q^{10}) \) \( 880q + 4q^{2} - q^{3} + 24q^{4} + 22q^{5} - 13q^{6} + 3q^{7} + 2q^{8} - 217q^{9} - 6q^{10} + 5q^{11} - 5q^{12} - 26q^{13} - 108q^{14} - 12q^{15} + 34q^{16} - q^{17} - 14q^{18} + q^{19} + 19q^{20} - 10q^{21} + 275q^{22} - 51q^{23} + 283q^{24} + 22q^{25} - 16q^{27} - 4q^{28} - 19q^{29} + q^{30} - 34q^{31} - 122q^{32} + 19q^{33} + 52q^{34} + 8q^{35} - 21q^{36} - 109q^{37} - 10q^{38} - 9q^{39} - 64q^{40} + 4q^{41} - 49q^{42} - 97q^{43} + 17q^{44} - 80q^{45} - 91q^{46} + 166q^{47} - 159q^{48} + 175q^{49} + 4q^{50} - 112q^{51} - 128q^{52} - 141q^{53} - 37q^{54} - 5q^{55} + 79q^{56} - 204q^{57} - 190q^{58} + 9q^{59} - 22q^{60} + 2q^{61} - 105q^{62} - q^{63} - 176q^{64} - 14q^{65} - 112q^{66} - 13q^{67} - 35q^{68} - 53q^{69} + 24q^{70} - 50q^{71} + 705q^{72} + q^{73} + 40q^{74} - q^{75} - 148q^{76} - 104q^{77} - 187q^{78} - 83q^{79} - q^{80} - 238q^{81} - 54q^{82} - 151q^{83} + 4q^{84} - 29q^{85} - 39q^{86} - 74q^{87} - 143q^{88} - 52q^{89} - 28q^{90} - 188q^{91} - 253q^{92} + 122q^{93} - 187q^{94} + 122q^{95} - 155q^{96} + 283q^{97} - 92q^{98} + 172q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/605\mathbb{Z}\right)^\times\).

\(n\) \(122\) \(486\)
\(\chi(n)\) \(1\) \(e\left(\frac{2}{55}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.82551 + 0.209458i 1.29083 + 0.148109i 0.732075 0.681224i \(-0.238552\pi\)
0.558754 + 0.829333i \(0.311279\pi\)
\(3\) 2.66801 + 1.93842i 1.54038 + 1.11915i 0.950100 + 0.311946i \(0.100981\pi\)
0.590275 + 0.807202i \(0.299019\pi\)
\(4\) 1.34058 + 0.311739i 0.670291 + 0.155870i
\(5\) −0.564443 + 0.825472i −0.252427 + 0.369162i
\(6\) 4.46445 + 4.09744i 1.82261 + 1.67277i
\(7\) 0.0611421 + 0.0629137i 0.0231095 + 0.0237792i 0.728588 0.684952i \(-0.240177\pi\)
−0.705478 + 0.708731i \(0.749268\pi\)
\(8\) −1.07930 0.385094i −0.381591 0.136151i
\(9\) 2.43374 + 7.49028i 0.811246 + 2.49676i
\(10\) −1.20330 + 1.38868i −0.380516 + 0.439139i
\(11\) −1.66821 2.86654i −0.502984 0.864295i
\(12\) 2.97240 + 3.43034i 0.858059 + 0.990253i
\(13\) 2.98135 4.94401i 0.826877 1.37122i −0.0996620 0.995021i \(-0.531776\pi\)
0.926539 0.376200i \(-0.122769\pi\)
\(14\) 0.0984377 + 0.127656i 0.0263086 + 0.0341176i
\(15\) −3.10605 + 1.10824i −0.801979 + 0.286146i
\(16\) −4.35988 2.14361i −1.08997 0.535903i
\(17\) 2.50624 2.04935i 0.607853 0.497039i −0.278261 0.960505i \(-0.589758\pi\)
0.886115 + 0.463466i \(0.153394\pi\)
\(18\) 2.87391 + 14.1833i 0.677388 + 3.34304i
\(19\) −2.24278 0.128247i −0.514530 0.0294219i −0.202104 0.979364i \(-0.564778\pi\)
−0.312426 + 0.949942i \(0.601142\pi\)
\(20\) −1.01401 + 0.930654i −0.226741 + 0.208101i
\(21\) 0.0411743 + 0.286374i 0.00898497 + 0.0624918i
\(22\) −2.44491 5.58232i −0.521257 1.19015i
\(23\) −1.19183 + 8.28939i −0.248515 + 1.72846i 0.358294 + 0.933609i \(0.383358\pi\)
−0.606809 + 0.794848i \(0.707551\pi\)
\(24\) −2.13311 3.11957i −0.435419 0.636780i
\(25\) −0.362808 0.931864i −0.0725615 0.186373i
\(26\) 6.47803 8.40086i 1.27045 1.64754i
\(27\) −4.96881 + 15.2924i −0.956248 + 2.94303i
\(28\) 0.0623534 + 0.103401i 0.0117837 + 0.0195410i
\(29\) 1.08524 2.78741i 0.201524 0.517609i −0.794442 0.607339i \(-0.792237\pi\)
0.995966 + 0.0897300i \(0.0286004\pi\)
\(30\) −5.90225 + 1.37251i −1.07760 + 0.250585i
\(31\) −5.87266 2.48181i −1.05476 0.445746i −0.208227 0.978080i \(-0.566769\pi\)
−0.846534 + 0.532334i \(0.821315\pi\)
\(32\) −5.58195 3.58730i −0.986758 0.634151i
\(33\) 1.10577 10.8817i 0.192490 1.89425i
\(34\) 5.00442 3.21614i 0.858251 0.551564i
\(35\) −0.0864448 + 0.0149599i −0.0146118 + 0.00252868i
\(36\) 0.927615 + 10.8000i 0.154603 + 1.80000i
\(37\) −0.512511 + 5.96705i −0.0842563 + 0.980978i 0.825107 + 0.564976i \(0.191115\pi\)
−0.909364 + 0.416002i \(0.863431\pi\)
\(38\) −4.06736 0.703884i −0.659812 0.114185i
\(39\) 17.5378 7.41155i 2.80830 1.18680i
\(40\) 0.927089 0.673569i 0.146586 0.106501i
\(41\) 2.73780 1.54611i 0.427573 0.241461i −0.262895 0.964824i \(-0.584677\pi\)
0.690468 + 0.723363i \(0.257405\pi\)
\(42\) 0.0151809 + 0.531401i 0.00234247 + 0.0819970i
\(43\) 2.87368 0.843789i 0.438233 0.128677i −0.0551716 0.998477i \(-0.517571\pi\)
0.493404 + 0.869800i \(0.335752\pi\)
\(44\) −1.34276 4.36289i −0.202429 0.657730i
\(45\) −7.55672 2.21885i −1.12649 0.330767i
\(46\) −3.91198 + 14.8827i −0.576789 + 2.19433i
\(47\) 0.100800 0.497467i 0.0147032 0.0725630i −0.972059 0.234736i \(-0.924577\pi\)
0.986762 + 0.162173i \(0.0518502\pi\)
\(48\) −7.47698 14.1705i −1.07921 2.04533i
\(49\) 0.199673 6.98945i 0.0285247 0.998493i
\(50\) −0.467122 1.77712i −0.0660611 0.251322i
\(51\) 10.6592 0.609513i 1.49258 0.0853490i
\(52\) 5.53798 5.69845i 0.767980 0.790233i
\(53\) 12.2516 6.02368i 1.68288 0.827416i 0.688072 0.725642i \(-0.258457\pi\)
0.994808 0.101774i \(-0.0324520\pi\)
\(54\) −12.2737 + 26.8757i −1.67024 + 3.65732i
\(55\) 3.30786 + 0.240940i 0.446032 + 0.0324883i
\(56\) −0.0417631 0.0914483i −0.00558082 0.0122203i
\(57\) −5.73517 4.68962i −0.759641 0.621156i
\(58\) 2.56496 4.86113i 0.336795 0.638298i
\(59\) 0.416416 + 0.235161i 0.0542128 + 0.0306154i 0.518601 0.855016i \(-0.326453\pi\)
−0.464388 + 0.885632i \(0.653726\pi\)
\(60\) −4.50940 + 0.517405i −0.582161 + 0.0667968i
\(61\) −11.5463 + 1.32481i −1.47835 + 0.169624i −0.815337 0.578986i \(-0.803448\pi\)
−0.663010 + 0.748611i \(0.730721\pi\)
\(62\) −10.2008 5.76063i −1.29550 0.731601i
\(63\) −0.322437 + 0.611087i −0.0406233 + 0.0769897i
\(64\) −1.91639 1.56702i −0.239548 0.195878i
\(65\) 2.39834 + 5.25163i 0.297477 + 0.651384i
\(66\) 4.29784 19.6329i 0.529027 2.41665i
\(67\) −3.04941 + 6.67727i −0.372545 + 0.815759i 0.626787 + 0.779191i \(0.284370\pi\)
−0.999331 + 0.0365678i \(0.988358\pi\)
\(68\) 3.99869 1.96602i 0.484912 0.238415i
\(69\) −19.2481 + 19.8059i −2.31720 + 2.38435i
\(70\) −0.160939 + 0.00920283i −0.0192359 + 0.00109995i
\(71\) −3.09988 11.7932i −0.367888 1.39959i −0.851522 0.524320i \(-0.824320\pi\)
0.483634 0.875270i \(-0.339317\pi\)
\(72\) 0.257723 9.02148i 0.0303730 1.06319i
\(73\) 4.79491 + 9.08736i 0.561201 + 1.06359i 0.987292 + 0.158915i \(0.0507994\pi\)
−0.426091 + 0.904680i \(0.640110\pi\)
\(74\) −2.18544 + 10.7856i −0.254052 + 1.25380i
\(75\) 0.838371 3.18949i 0.0968068 0.368291i
\(76\) −2.96666 0.871089i −0.340299 0.0999208i
\(77\) 0.0783471 0.280220i 0.00892848 0.0319340i
\(78\) 33.5678 9.85641i 3.80081 1.11602i
\(79\) 0.0917263 + 3.21084i 0.0103200 + 0.361248i 0.988298 + 0.152538i \(0.0487446\pi\)
−0.977978 + 0.208710i \(0.933074\pi\)
\(80\) 4.23040 2.38902i 0.472973 0.267100i
\(81\) −23.7852 + 17.2809i −2.64280 + 1.92010i
\(82\) 5.32172 2.24898i 0.587686 0.248358i
\(83\) −4.59426 0.795067i −0.504285 0.0872700i −0.0872978 0.996182i \(-0.527823\pi\)
−0.416987 + 0.908912i \(0.636914\pi\)
\(84\) −0.0340763 + 0.396743i −0.00371803 + 0.0432882i
\(85\) 0.277045 + 3.22557i 0.0300497 + 0.349862i
\(86\) 5.42267 0.938430i 0.584741 0.101193i
\(87\) 8.29860 5.33319i 0.889704 0.571778i
\(88\) 0.696614 + 3.73628i 0.0742593 + 0.398289i
\(89\) 8.52930 + 5.48145i 0.904104 + 0.581033i 0.908005 0.418960i \(-0.137605\pi\)
−0.00390032 + 0.999992i \(0.501242\pi\)
\(90\) −13.3301 5.63335i −1.40512 0.593807i
\(91\) 0.493332 0.114719i 0.0517152 0.0120259i
\(92\) −4.18188 + 10.7411i −0.435991 + 1.11983i
\(93\) −10.8575 18.0052i −1.12587 1.86705i
\(94\) 0.288209 0.887016i 0.0297265 0.0914887i
\(95\) 1.37179 1.77897i 0.140743 0.182518i
\(96\) −7.93898 20.3911i −0.810269 2.08116i
\(97\) −1.54148 2.25434i −0.156513 0.228893i 0.739243 0.673439i \(-0.235183\pi\)
−0.895756 + 0.444545i \(0.853365\pi\)
\(98\) 1.82850 12.7175i 0.184706 1.28466i
\(99\) 17.4112 19.4718i 1.74989 1.95699i
\(100\) −0.195875 1.36234i −0.0195875 0.136234i
\(101\) −3.87455 + 3.55603i −0.385532 + 0.353838i −0.845385 0.534157i \(-0.820629\pi\)
0.459854 + 0.887995i \(0.347902\pi\)
\(102\) 19.5861 + 1.11997i 1.93931 + 0.110894i
\(103\) 0.100980 + 0.498354i 0.00994981 + 0.0491043i 0.984750 0.173976i \(-0.0556615\pi\)
−0.974800 + 0.223080i \(0.928389\pi\)
\(104\) −5.12168 + 4.18798i −0.502222 + 0.410665i
\(105\) −0.259634 0.127653i −0.0253377 0.0124577i
\(106\) 23.6270 8.43010i 2.29486 0.818804i
\(107\) 5.92082 + 7.67825i 0.572387 + 0.742285i 0.985738 0.168287i \(-0.0538236\pi\)
−0.413351 + 0.910572i \(0.635642\pi\)
\(108\) −11.4284 + 18.9518i −1.09969 + 1.82364i
\(109\) −4.01676 4.63558i −0.384735 0.444008i 0.530039 0.847973i \(-0.322177\pi\)
−0.914774 + 0.403965i \(0.867632\pi\)
\(110\) 5.98806 + 1.13269i 0.570939 + 0.107998i
\(111\) −12.9340 + 14.9267i −1.22765 + 1.41678i
\(112\) −0.131710 0.405362i −0.0124454 0.0383031i
\(113\) 3.54753 + 1.26576i 0.333723 + 0.119072i 0.497595 0.867409i \(-0.334217\pi\)
−0.163872 + 0.986482i \(0.552398\pi\)
\(114\) −9.48732 9.76222i −0.888569 0.914316i
\(115\) −6.16993 5.66271i −0.575349 0.528051i
\(116\) 2.32380 3.39845i 0.215759 0.315538i
\(117\) 44.2878 + 10.2987i 4.09441 + 0.952114i
\(118\) 0.710915 + 0.516510i 0.0654450 + 0.0475486i
\(119\) 0.282169 + 0.0323759i 0.0258664 + 0.00296789i
\(120\) 3.77914 0.344987
\(121\) −5.43415 + 9.56400i −0.494013 + 0.869454i
\(122\) −21.3553 −1.93342
\(123\) 10.3015 + 1.18199i 0.928854 + 0.106576i
\(124\) −7.09912 5.15781i −0.637519 0.463185i
\(125\) 0.974012 + 0.226497i 0.0871183 + 0.0202585i
\(126\) −0.716609 + 1.04801i −0.0638406 + 0.0933639i
\(127\) −12.4518 11.4281i −1.10492 1.01408i −0.999807 0.0196221i \(-0.993754\pi\)
−0.105109 0.994461i \(-0.533519\pi\)
\(128\) 6.07859 + 6.25472i 0.537276 + 0.552844i
\(129\) 9.30263 + 3.31917i 0.819051 + 0.292237i
\(130\) 3.27819 + 10.0892i 0.287517 + 0.884885i
\(131\) −12.7494 + 14.7136i −1.11392 + 1.28554i −0.159461 + 0.987204i \(0.550975\pi\)
−0.954462 + 0.298331i \(0.903570\pi\)
\(132\) 4.87461 14.2431i 0.424281 1.23970i
\(133\) −0.129060 0.148943i −0.0111909 0.0129150i
\(134\) −6.96532 + 11.5507i −0.601712 + 0.997828i
\(135\) −9.81886 12.7333i −0.845073 1.09591i
\(136\) −3.49418 + 1.24672i −0.299624 + 0.106906i
\(137\) −7.04589 3.46423i −0.601971 0.295969i 0.114678 0.993403i \(-0.463416\pi\)
−0.716650 + 0.697433i \(0.754325\pi\)
\(138\) −39.2861 + 32.1241i −3.34426 + 2.73459i
\(139\) 0.989911 + 4.88540i 0.0839632 + 0.414375i 0.999914 + 0.0130850i \(0.00416520\pi\)
−0.915951 + 0.401290i \(0.868562\pi\)
\(140\) −0.120550 0.00689330i −0.0101883 0.000582590i
\(141\) 1.23323 1.13185i 0.103857 0.0953192i
\(142\) −3.18868 22.1778i −0.267588 1.86112i
\(143\) −19.1457 0.298512i −1.60105 0.0249628i
\(144\) 5.44542 37.8737i 0.453785 3.15614i
\(145\) 1.68838 + 2.46917i 0.140212 + 0.205053i
\(146\) 6.84972 + 17.5934i 0.566887 + 1.45604i
\(147\) 14.0812 18.2609i 1.16140 1.50613i
\(148\) −2.54723 + 7.83956i −0.209381 + 0.644408i
\(149\) 7.60260 + 12.6075i 0.622830 + 1.03285i 0.994526 + 0.104492i \(0.0333218\pi\)
−0.371696 + 0.928354i \(0.621224\pi\)
\(150\) 2.19852 5.64684i 0.179508 0.461063i
\(151\) −9.85833 + 2.29246i −0.802259 + 0.186557i −0.607527 0.794299i \(-0.707838\pi\)
−0.194732 + 0.980856i \(0.562384\pi\)
\(152\) 2.37125 + 1.00210i 0.192334 + 0.0812810i
\(153\) 21.4497 + 13.7849i 1.73411 + 1.11444i
\(154\) 0.201717 0.495133i 0.0162548 0.0398990i
\(155\) 5.36345 3.44688i 0.430803 0.276860i
\(156\) 25.8214 4.46857i 2.06736 0.357772i
\(157\) −0.207690 2.41809i −0.0165755 0.192985i −0.999936 0.0113196i \(-0.996397\pi\)
0.983360 0.181665i \(-0.0581487\pi\)
\(158\) −0.505087 + 5.88063i −0.0401826 + 0.467837i
\(159\) 44.3637 + 7.67743i 3.51827 + 0.608860i
\(160\) 6.11191 2.58291i 0.483189 0.204197i
\(161\) −0.594388 + 0.431848i −0.0468443 + 0.0340344i
\(162\) −47.0397 + 26.5645i −3.69578 + 2.08711i
\(163\) 0.524532 + 18.3610i 0.0410845 + 1.43814i 0.714890 + 0.699237i \(0.246477\pi\)
−0.673806 + 0.738908i \(0.735342\pi\)
\(164\) 4.15223 1.21921i 0.324235 0.0952040i
\(165\) 8.35836 + 7.05486i 0.650697 + 0.549220i
\(166\) −8.22032 2.41370i −0.638020 0.187340i
\(167\) 5.64528 21.4769i 0.436845 1.66193i −0.276420 0.961037i \(-0.589148\pi\)
0.713265 0.700894i \(-0.247216\pi\)
\(168\) 0.0658412 0.324939i 0.00507976 0.0250696i
\(169\) −9.48811 17.9820i −0.729855 1.38323i
\(170\) −0.169873 + 5.94634i −0.0130287 + 0.456063i
\(171\) −4.49774 17.1112i −0.343951 1.30853i
\(172\) 4.11545 0.235330i 0.313800 0.0179438i
\(173\) −0.155841 + 0.160357i −0.0118484 + 0.0121917i −0.723030 0.690817i \(-0.757251\pi\)
0.711182 + 0.703008i \(0.248160\pi\)
\(174\) 16.2662 7.99757i 1.23314 0.606294i
\(175\) 0.0364442 0.0798017i 0.00275492 0.00603244i
\(176\) 1.12845 + 16.0738i 0.0850603 + 1.21161i
\(177\) 0.655161 + 1.43460i 0.0492449 + 0.107831i
\(178\) 14.4222 + 11.7930i 1.08099 + 0.883920i
\(179\) 1.87927 3.56162i 0.140463 0.266208i −0.804128 0.594456i \(-0.797367\pi\)
0.944591 + 0.328248i \(0.106458\pi\)
\(180\) −9.43871 5.33028i −0.703520 0.397296i
\(181\) 13.6843 1.57013i 1.01715 0.116707i 0.410651 0.911793i \(-0.365302\pi\)
0.606497 + 0.795086i \(0.292574\pi\)
\(182\) 0.924610 0.106089i 0.0685367 0.00786385i
\(183\) −33.3735 18.8469i −2.46704 1.39320i
\(184\) 4.47854 8.48778i 0.330162 0.625727i
\(185\) −4.63635 3.79113i −0.340871 0.278729i
\(186\) −16.0492 35.1428i −1.17678 2.57679i
\(187\) −10.0555 3.76552i −0.735329 0.275362i
\(188\) 0.290210 0.635472i 0.0211658 0.0463466i
\(189\) −1.26591 + 0.622405i −0.0920813 + 0.0452733i
\(190\) 2.87683 2.96019i 0.208707 0.214754i
\(191\) −2.22690 + 0.127339i −0.161133 + 0.00921390i −0.137469 0.990506i \(-0.543897\pi\)
−0.0236637 + 0.999720i \(0.507533\pi\)
\(192\) −2.07539 7.89559i −0.149778 0.569815i
\(193\) −0.451622 + 15.8088i −0.0325085 + 1.13795i 0.805606 + 0.592451i \(0.201840\pi\)
−0.838115 + 0.545494i \(0.816342\pi\)
\(194\) −2.34179 4.43818i −0.168131 0.318643i
\(195\) −3.78108 + 18.6604i −0.270769 + 1.33630i
\(196\) 2.44656 9.30769i 0.174755 0.664835i
\(197\) −19.2245 5.64483i −1.36969 0.402178i −0.487522 0.873111i \(-0.662099\pi\)
−0.882169 + 0.470933i \(0.843917\pi\)
\(198\) 35.8628 31.8990i 2.54866 2.26696i
\(199\) −4.20371 + 1.23432i −0.297993 + 0.0874987i −0.427312 0.904104i \(-0.640539\pi\)
0.129318 + 0.991603i \(0.458721\pi\)
\(200\) 0.0327236 + 1.14548i 0.00231391 + 0.0809975i
\(201\) −21.0792 + 11.9040i −1.48681 + 0.839642i
\(202\) −7.81785 + 5.68000i −0.550062 + 0.399644i
\(203\) 0.241720 0.102152i 0.0169654 0.00716966i
\(204\) 14.4795 + 2.50578i 1.01377 + 0.175440i
\(205\) −0.269065 + 3.13267i −0.0187923 + 0.218795i
\(206\) 0.0799551 + 0.930900i 0.00557073 + 0.0648589i
\(207\) −64.9904 + 11.2470i −4.51715 + 0.781723i
\(208\) −23.5964 + 15.1645i −1.63611 + 1.05147i
\(209\) 3.37381 + 6.64298i 0.233371 + 0.459505i
\(210\) −0.447226 0.287415i −0.0308615 0.0198335i
\(211\) 2.11729 + 0.894774i 0.145760 + 0.0615987i 0.460930 0.887437i \(-0.347516\pi\)
−0.315170 + 0.949035i \(0.602061\pi\)
\(212\) 18.3020 4.25596i 1.25699 0.292300i
\(213\) 14.5896 37.4731i 0.999663 2.56761i
\(214\) 9.20023 + 15.2569i 0.628915 + 1.04294i
\(215\) −0.925506 + 2.84842i −0.0631190 + 0.194260i
\(216\) 11.2519 14.5917i 0.765593 0.992838i
\(217\) −0.202927 0.521214i −0.0137756 0.0353823i
\(218\) −6.36166 9.30363i −0.430866 0.630121i
\(219\) −4.82228 + 33.5397i −0.325859 + 2.26640i
\(220\) 4.35935 + 1.35419i 0.293907 + 0.0912995i
\(221\) −2.66000 18.5007i −0.178931 1.24449i
\(222\) −26.7377 + 24.5397i −1.79452 + 1.64699i
\(223\) −24.7844 1.41722i −1.65968 0.0949042i −0.798102 0.602522i \(-0.794163\pi\)
−0.861582 + 0.507618i \(0.830526\pi\)
\(224\) −0.115602 0.570516i −0.00772396 0.0381192i
\(225\) 6.09694 4.98544i 0.406463 0.332363i
\(226\) 6.21092 + 3.05370i 0.413144 + 0.203129i
\(227\) 26.1069 9.31494i 1.73278 0.618254i 0.734595 0.678506i \(-0.237372\pi\)
0.998183 + 0.0602520i \(0.0191904\pi\)
\(228\) −6.22653 8.07471i −0.412362 0.534760i
\(229\) 6.87962 11.4086i 0.454618 0.753900i −0.541614 0.840628i \(-0.682186\pi\)
0.996232 + 0.0867276i \(0.0276410\pi\)
\(230\) −10.0772 11.6297i −0.664468 0.766838i
\(231\) 0.752215 0.595759i 0.0494921 0.0391981i
\(232\) −2.24471 + 2.59054i −0.147373 + 0.170077i
\(233\) −1.05119 3.23522i −0.0688656 0.211946i 0.910701 0.413066i \(-0.135542\pi\)
−0.979567 + 0.201119i \(0.935542\pi\)
\(234\) 78.6906 + 28.0767i 5.14417 + 1.83543i
\(235\) 0.353749 + 0.363999i 0.0230760 + 0.0237447i
\(236\) 0.484932 + 0.445066i 0.0315664 + 0.0289713i
\(237\) −5.97923 + 8.74435i −0.388393 + 0.568007i
\(238\) 0.508320 + 0.118205i 0.0329495 + 0.00766208i
\(239\) −8.94130 6.49623i −0.578364 0.420206i 0.259770 0.965671i \(-0.416353\pi\)
−0.838134 + 0.545464i \(0.816353\pi\)
\(240\) 15.9177 + 1.82638i 1.02748 + 0.117892i
\(241\) 10.0362 0.646486 0.323243 0.946316i \(-0.395227\pi\)
0.323243 + 0.946316i \(0.395227\pi\)
\(242\) −11.9233 + 16.3209i −0.766460 + 1.04915i
\(243\) −48.7185 −3.12530
\(244\) −15.8917 1.82340i −1.01736 0.116731i
\(245\) 5.65689 + 4.10997i 0.361406 + 0.262577i
\(246\) 18.5579 + 4.31545i 1.18321 + 0.275143i
\(247\) −7.32057 + 10.7060i −0.465797 + 0.681206i
\(248\) 5.38264 + 4.94015i 0.341798 + 0.313700i
\(249\) −10.7163 11.0268i −0.679120 0.698798i
\(250\) 1.73063 + 0.617486i 0.109454 + 0.0390532i
\(251\) −0.672668 2.07026i −0.0424584 0.130674i 0.927580 0.373624i \(-0.121885\pi\)
−0.970039 + 0.242950i \(0.921885\pi\)
\(252\) −0.622754 + 0.718696i −0.0392298 + 0.0452736i
\(253\) 25.7501 10.4120i 1.61890 0.654597i
\(254\) −20.3371 23.4703i −1.27606 1.47266i
\(255\) −5.51336 + 9.14288i −0.345260 + 0.572549i
\(256\) 12.8097 + 16.6120i 0.800608 + 1.03825i
\(257\) −6.05017 + 2.15870i −0.377399 + 0.134656i −0.517935 0.855420i \(-0.673299\pi\)
0.140536 + 0.990076i \(0.455117\pi\)
\(258\) 16.2868 + 8.00768i 1.01397 + 0.498536i
\(259\) −0.406746 + 0.332594i −0.0252740 + 0.0206664i
\(260\) 1.57803 + 7.78790i 0.0978655 + 0.482985i
\(261\) 23.5197 + 1.34490i 1.45583 + 0.0832474i
\(262\) −26.3561 + 24.1894i −1.62828 + 1.49442i
\(263\) 1.94834 + 13.5510i 0.120140 + 0.835593i 0.957395 + 0.288780i \(0.0932498\pi\)
−0.837255 + 0.546812i \(0.815841\pi\)
\(264\) −5.38392 + 11.3188i −0.331357 + 0.696622i
\(265\) −1.94292 + 13.5133i −0.119353 + 0.830118i
\(266\) −0.204403 0.298930i −0.0125327 0.0183285i
\(267\) 12.1309 + 31.1579i 0.742398 + 1.90684i
\(268\) −6.16955 + 8.00082i −0.376865 + 0.488728i
\(269\) −5.65707 + 17.4107i −0.344918 + 1.06155i 0.616710 + 0.787190i \(0.288465\pi\)
−0.961628 + 0.274357i \(0.911535\pi\)
\(270\) −15.2573 25.3014i −0.928531 1.53980i
\(271\) 8.94349 22.9712i 0.543278 1.39540i −0.346088 0.938202i \(-0.612490\pi\)
0.889366 0.457196i \(-0.151146\pi\)
\(272\) −15.3199 + 3.56250i −0.928907 + 0.216008i
\(273\) 1.53859 + 0.650213i 0.0931196 + 0.0393527i
\(274\) −12.1367 7.79980i −0.733206 0.471203i
\(275\) −2.06599 + 2.59455i −0.124584 + 0.156457i
\(276\) −31.9780 + 20.5510i −1.92485 + 1.23703i
\(277\) −3.26107 + 0.564350i −0.195938 + 0.0339085i −0.267646 0.963517i \(-0.586246\pi\)
0.0717080 + 0.997426i \(0.477155\pi\)
\(278\) 0.783806 + 9.12569i 0.0470096 + 0.547323i
\(279\) 4.29690 50.0279i 0.257249 2.99509i
\(280\) 0.0990609 + 0.0171432i 0.00592002 + 0.00102450i
\(281\) 8.96742 3.78966i 0.534951 0.226072i −0.105021 0.994470i \(-0.533491\pi\)
0.639973 + 0.768398i \(0.278946\pi\)
\(282\) 2.48835 1.80790i 0.148179 0.107659i
\(283\) 4.51769 2.55126i 0.268549 0.151657i −0.351577 0.936159i \(-0.614354\pi\)
0.620126 + 0.784502i \(0.287082\pi\)
\(284\) −0.479253 16.7761i −0.0284385 0.995476i
\(285\) 7.10833 2.08719i 0.421061 0.123635i
\(286\) −34.8882 4.55515i −2.06298 0.269352i
\(287\) 0.264666 + 0.0777131i 0.0156228 + 0.00458726i
\(288\) 13.2849 50.5409i 0.782818 2.97815i
\(289\) −1.29460 + 6.38909i −0.0761528 + 0.375829i
\(290\) 2.56496 + 4.86113i 0.150619 + 0.285455i
\(291\) 0.257184 9.00261i 0.0150764 0.527742i
\(292\) 3.59508 + 13.6771i 0.210386 + 0.800393i
\(293\) 14.1564 0.809495i 0.827029 0.0472912i 0.361553 0.932352i \(-0.382247\pi\)
0.465476 + 0.885060i \(0.345883\pi\)
\(294\) 29.5303 30.3859i 1.72224 1.77214i
\(295\) −0.429162 + 0.211005i −0.0249868 + 0.0122852i
\(296\) 2.85103 6.24289i 0.165713 0.362860i
\(297\) 52.1255 11.2677i 3.02463 0.653817i
\(298\) 11.2379 + 24.6075i 0.650993 + 1.42548i
\(299\) 37.4295 + 30.6060i 2.16460 + 1.76999i
\(300\) 2.11820 4.01443i 0.122294 0.231773i
\(301\) 0.228789 + 0.129203i 0.0131872 + 0.00744714i
\(302\) −18.4766 + 2.12000i −1.06321 + 0.121992i
\(303\) −17.2304 + 1.97700i −0.989861 + 0.113576i
\(304\) 9.50336 + 5.36680i 0.545055 + 0.307807i
\(305\) 5.42361 10.2789i 0.310555 0.588568i
\(306\) 36.2693 + 29.6572i 2.07338 + 1.69539i
\(307\) −5.11308 11.1961i −0.291819 0.638994i 0.705766 0.708445i \(-0.250603\pi\)
−0.997585 + 0.0694501i \(0.977876\pi\)
\(308\) 0.192386 0.351234i 0.0109622 0.0200134i
\(309\) −0.696605 + 1.52535i −0.0396285 + 0.0867743i
\(310\) 10.5130 5.16889i 0.597098 0.293573i
\(311\) 2.05718 2.11678i 0.116652 0.120032i −0.656290 0.754509i \(-0.727875\pi\)
0.772942 + 0.634477i \(0.218784\pi\)
\(312\) −21.7827 + 1.24558i −1.23320 + 0.0705172i
\(313\) 5.60068 + 21.3072i 0.316569 + 1.20435i 0.915091 + 0.403248i \(0.132119\pi\)
−0.598521 + 0.801107i \(0.704245\pi\)
\(314\) 0.127348 4.45775i 0.00718664 0.251565i
\(315\) −0.322437 0.611087i −0.0181673 0.0344308i
\(316\) −0.877978 + 4.33299i −0.0493901 + 0.243750i
\(317\) 3.77247 14.3520i 0.211883 0.806087i −0.773222 0.634135i \(-0.781356\pi\)
0.985105 0.171952i \(-0.0550073\pi\)
\(318\) 79.3781 + 23.3075i 4.45130 + 1.30702i
\(319\) −9.80065 + 1.53911i −0.548731 + 0.0861735i
\(320\) 2.37522 0.697429i 0.132779 0.0389875i
\(321\) 0.913100 + 31.9627i 0.0509643 + 1.78398i
\(322\) −1.17551 + 0.663843i −0.0655088 + 0.0369945i
\(323\) −5.88378 + 4.27482i −0.327382 + 0.237857i
\(324\) −37.2732 + 15.7518i −2.07073 + 0.875098i
\(325\) −5.68880 0.984485i −0.315558 0.0546094i
\(326\) −2.88831 + 33.6280i −0.159969 + 1.86248i
\(327\) −1.73102 20.1539i −0.0957258 1.11452i
\(328\) −3.55031 + 0.614405i −0.196033 + 0.0339249i
\(329\) 0.0374606 0.0240745i 0.00206527 0.00132727i
\(330\) 13.7806 + 14.6294i 0.758595 + 0.805323i
\(331\) 22.0148 + 14.1481i 1.21004 + 0.777648i 0.980666 0.195690i \(-0.0626946\pi\)
0.229377 + 0.973338i \(0.426331\pi\)
\(332\) −5.91113 2.49806i −0.324415 0.137099i
\(333\) −45.9422 + 10.6834i −2.51762 + 0.585447i
\(334\) 14.8040 38.0238i 0.810039 2.08057i
\(335\) −3.79068 6.28614i −0.207107 0.343449i
\(336\) 0.434358 1.33682i 0.0236962 0.0729294i
\(337\) 3.55854 4.61480i 0.193846 0.251384i −0.684941 0.728599i \(-0.740172\pi\)
0.878787 + 0.477215i \(0.158354\pi\)
\(338\) −13.5542 34.8136i −0.737249 1.89361i
\(339\) 7.01127 + 10.2537i 0.380800 + 0.556902i
\(340\) −0.634136 + 4.41051i −0.0343909 + 0.239194i
\(341\) 2.68263 + 20.9744i 0.145273 + 1.13583i
\(342\) −4.62660 32.1787i −0.250178 1.74002i
\(343\) 0.904379 0.830032i 0.0488319 0.0448175i
\(344\) −3.42651 0.195935i −0.184745 0.0105641i
\(345\) −5.48471 27.0681i −0.295287 1.45730i
\(346\) −0.318077 + 0.260090i −0.0170999 + 0.0139825i
\(347\) 3.93170 + 1.93309i 0.211065 + 0.103774i 0.543692 0.839285i \(-0.317026\pi\)
−0.332627 + 0.943058i \(0.607935\pi\)
\(348\) 12.7875 4.56258i 0.685484 0.244580i
\(349\) 5.94322 + 7.70730i 0.318133 + 0.412562i 0.923630 0.383285i \(-0.125207\pi\)
−0.605497 + 0.795848i \(0.707026\pi\)
\(350\) 0.0832443 0.138045i 0.00444960 0.00737882i
\(351\) 60.7922 + 70.1579i 3.24485 + 3.74475i
\(352\) −0.971286 + 21.9853i −0.0517697 + 1.17182i
\(353\) −3.57668 + 4.12770i −0.190367 + 0.219695i −0.842907 0.538059i \(-0.819158\pi\)
0.652540 + 0.757754i \(0.273703\pi\)
\(354\) 0.895513 + 2.75611i 0.0475960 + 0.146485i
\(355\) 11.4846 + 4.09770i 0.609540 + 0.217484i
\(356\) 9.72546 + 10.0073i 0.515448 + 0.530384i
\(357\) 0.690071 + 0.633341i 0.0365224 + 0.0335200i
\(358\) 4.17663 6.10813i 0.220742 0.322825i
\(359\) 3.72003 + 0.865056i 0.196336 + 0.0456559i 0.323511 0.946224i \(-0.395137\pi\)
−0.127176 + 0.991880i \(0.540591\pi\)
\(360\) 7.30151 + 5.30486i 0.384823 + 0.279591i
\(361\) −13.8625 1.59058i −0.729606 0.0837145i
\(362\) 25.3097 1.33025
\(363\) −33.0374 + 14.9832i −1.73401 + 0.786412i
\(364\) 0.697115 0.0365387
\(365\) −10.2078 1.17124i −0.534301 0.0613054i
\(366\) −56.9760 41.3955i −2.97819 2.16378i
\(367\) 31.4877 + 7.32216i 1.64365 + 0.382214i 0.943392 0.331680i \(-0.107615\pi\)
0.700254 + 0.713893i \(0.253070\pi\)
\(368\) 22.9655 33.5859i 1.19716 1.75079i
\(369\) 18.2439 + 16.7441i 0.949738 + 0.871662i
\(370\) −7.66962 7.89185i −0.398724 0.410278i
\(371\) 1.12806 + 0.402490i 0.0585659 + 0.0208963i
\(372\) −8.94249 27.5222i −0.463647 1.42696i
\(373\) 17.4498 20.1382i 0.903518 1.04272i −0.0953642 0.995442i \(-0.530402\pi\)
0.998882 0.0472727i \(-0.0150530\pi\)
\(374\) −17.5676 8.98018i −0.908401 0.464354i
\(375\) 2.15963 + 2.49234i 0.111523 + 0.128704i
\(376\) −0.300365 + 0.498099i −0.0154901 + 0.0256875i
\(377\) −10.5455 13.6757i −0.543122 0.704333i
\(378\) −2.44129 + 0.871051i −0.125567 + 0.0448021i
\(379\) −26.8743 13.2132i −1.38044 0.678717i −0.408242 0.912874i \(-0.633858\pi\)
−0.972199 + 0.234156i \(0.924767\pi\)
\(380\) 2.39357 1.95721i 0.122788 0.100403i
\(381\) −11.0689 54.6271i −0.567076 2.79863i
\(382\) −4.09189 0.233983i −0.209359 0.0119716i
\(383\) 16.7079 15.3344i 0.853734 0.783550i −0.124246 0.992251i \(-0.539651\pi\)
0.977979 + 0.208702i \(0.0669238\pi\)
\(384\) 4.09344 + 28.4705i 0.208893 + 1.45288i
\(385\) 0.187091 + 0.222842i 0.00953505 + 0.0113571i
\(386\) −4.13572 + 28.7646i −0.210503 + 1.46408i
\(387\) 13.3140 + 19.4711i 0.676789 + 0.989773i
\(388\) −1.36371 3.50266i −0.0692319 0.177821i
\(389\) 7.34328 9.52294i 0.372319 0.482832i −0.568047 0.822996i \(-0.692301\pi\)
0.940366 + 0.340164i \(0.110483\pi\)
\(390\) −10.8110 + 33.2727i −0.547434 + 1.68483i
\(391\) 14.0008 + 23.2177i 0.708050 + 1.17417i
\(392\) −2.90710 + 7.46683i −0.146831 + 0.377132i
\(393\) −62.5368 + 14.5423i −3.15456 + 0.733562i
\(394\) −33.9122 14.3314i −1.70847 0.722006i
\(395\) −2.70223 1.73662i −0.135964 0.0873788i
\(396\) 29.4113 20.6758i 1.47797 1.03900i
\(397\) −30.3516 + 19.5058i −1.52330 + 0.978967i −0.532090 + 0.846687i \(0.678593\pi\)
−0.991212 + 0.132280i \(0.957770\pi\)
\(398\) −7.93245 + 1.37276i −0.397618 + 0.0688105i
\(399\) −0.0556185 0.647554i −0.00278441 0.0324183i
\(400\) −0.415754 + 4.84054i −0.0207877 + 0.242027i
\(401\) 7.36396 + 1.27438i 0.367738 + 0.0636396i 0.351396 0.936227i \(-0.385707\pi\)
0.0163422 + 0.999866i \(0.494798\pi\)
\(402\) −40.9736 + 17.3156i −2.04358 + 0.863624i
\(403\) −29.7785 + 21.6354i −1.48337 + 1.07773i
\(404\) −6.30271 + 3.55930i −0.313571 + 0.177082i
\(405\) −0.839551 29.3881i −0.0417176 1.46031i
\(406\) 0.462659 0.135849i 0.0229614 0.00674207i
\(407\) 17.9598 8.48517i 0.890234 0.420594i
\(408\) −11.7392 3.44693i −0.581176 0.170649i
\(409\) −0.844521 + 3.21289i −0.0417589 + 0.158867i −0.984759 0.173926i \(-0.944355\pi\)
0.943000 + 0.332793i \(0.107991\pi\)
\(410\) −1.14734 + 5.66235i −0.0566632 + 0.279644i
\(411\) −12.0834 22.9005i −0.596028 1.12960i
\(412\) −0.0199849 + 0.699564i −0.000984587 + 0.0344650i
\(413\) 0.0106657 + 0.0405766i 0.000524825 + 0.00199664i
\(414\) −120.996 + 6.91882i −5.94664 + 0.340041i
\(415\) 3.24950 3.34366i 0.159512 0.164134i
\(416\) −34.3774 + 16.9022i −1.68549 + 0.828699i
\(417\) −6.82888 + 14.9532i −0.334412 + 0.732260i
\(418\) 4.76750 + 12.8335i 0.233186 + 0.627706i
\(419\) 12.1541 + 26.6137i 0.593765 + 1.30016i 0.933140 + 0.359513i \(0.117057\pi\)
−0.339375 + 0.940651i \(0.610216\pi\)
\(420\) −0.308266 0.252068i −0.0150418 0.0122997i
\(421\) −4.73103 + 8.96630i −0.230576 + 0.436991i −0.972307 0.233707i \(-0.924914\pi\)
0.741731 + 0.670698i \(0.234005\pi\)
\(422\) 3.67771 + 2.07690i 0.179028 + 0.101102i
\(423\) 3.97148 0.455685i 0.193100 0.0221562i
\(424\) −15.5428 + 1.78337i −0.754825 + 0.0866081i
\(425\) −2.81900 1.59196i −0.136741 0.0772214i
\(426\) 34.4825 65.3515i 1.67068 3.16629i
\(427\) −0.789311 0.645417i −0.0381974 0.0312339i
\(428\) 5.54373 + 12.1391i 0.267967 + 0.586765i
\(429\) −50.5023 37.9089i −2.43827 1.83026i
\(430\) −2.28614 + 5.00595i −0.110248 + 0.241408i
\(431\) 24.0569 11.8280i 1.15878 0.569734i 0.242453 0.970163i \(-0.422048\pi\)
0.916328 + 0.400429i \(0.131139\pi\)
\(432\) 54.4445 56.0220i 2.61946 2.69536i
\(433\) 15.1698 0.867438i 0.729012 0.0416864i 0.311358 0.950293i \(-0.399216\pi\)
0.417654 + 0.908606i \(0.362852\pi\)
\(434\) −0.261273 0.993985i −0.0125415 0.0477128i
\(435\) −0.281693 + 9.86055i −0.0135062 + 0.472777i
\(436\) −3.93970 7.46656i −0.188677 0.357584i
\(437\) 3.73611 18.4384i 0.178723 0.882031i
\(438\) −15.8283 + 60.2169i −0.756303 + 2.87728i
\(439\) −4.04954 1.18905i −0.193274 0.0567504i 0.183663 0.982989i \(-0.441204\pi\)
−0.376937 + 0.926239i \(0.623023\pi\)
\(440\) −3.47739 1.53388i −0.165778 0.0731251i
\(441\) 52.8389 15.5149i 2.51614 0.738805i
\(442\) −0.980738 34.3303i −0.0466490 1.63293i
\(443\) 11.6756 6.59349i 0.554723 0.313266i −0.188758 0.982024i \(-0.560446\pi\)
0.743481 + 0.668757i \(0.233173\pi\)
\(444\) −21.9924 + 15.9784i −1.04371 + 0.758302i
\(445\) −9.33909 + 3.94673i −0.442715 + 0.187093i
\(446\) −44.9472 7.77842i −2.12831 0.368319i
\(447\) −4.15484 + 48.3740i −0.196517 + 2.28801i
\(448\) −0.0185847 0.216378i −0.000878046 0.0102229i
\(449\) 41.0883 7.11062i 1.93908 0.335571i 0.939111 0.343615i \(-0.111652\pi\)
0.999968 + 0.00804441i \(0.00256064\pi\)
\(450\) 12.1743 7.82392i 0.573900 0.368823i
\(451\) −8.99922 5.26879i −0.423757 0.248098i
\(452\) 4.36117 + 2.80275i 0.205132 + 0.131830i
\(453\) −30.7458 12.9933i −1.44457 0.610479i
\(454\) 49.6095 11.5362i 2.32829 0.541420i
\(455\) −0.183760 + 0.471984i −0.00861481 + 0.0221270i
\(456\) 4.38403 + 7.27009i 0.205301 + 0.340453i
\(457\) 7.54205 23.2120i 0.352802 1.08581i −0.604471 0.796627i \(-0.706615\pi\)
0.957273 0.289186i \(-0.0933846\pi\)
\(458\) 14.9484 19.3855i 0.698494 0.905823i
\(459\) 18.8864 + 48.5094i 0.881543 + 2.26422i
\(460\) −6.50602 9.51475i −0.303345 0.443627i
\(461\) 0.364337 2.53402i 0.0169688 0.118021i −0.979576 0.201072i \(-0.935557\pi\)
0.996545 + 0.0830512i \(0.0264665\pi\)
\(462\) 1.49796 0.930006i 0.0696914 0.0432678i
\(463\) 1.96475 + 13.6651i 0.0913096 + 0.635072i 0.983161 + 0.182743i \(0.0584977\pi\)
−0.891851 + 0.452329i \(0.850593\pi\)
\(464\) −10.7066 + 9.82647i −0.497043 + 0.456182i
\(465\) 20.9912 + 1.20032i 0.973445 + 0.0556636i
\(466\) −1.24131 6.12610i −0.0575025 0.283786i
\(467\) 6.38308 5.21942i 0.295374 0.241526i −0.473700 0.880687i \(-0.657082\pi\)
0.769073 + 0.639161i \(0.220718\pi\)
\(468\) 56.1610 + 27.6125i 2.59604 + 1.27639i
\(469\) −0.606540 + 0.216413i −0.0280074 + 0.00999302i
\(470\) 0.569529 + 0.738579i 0.0262704 + 0.0340681i
\(471\) 4.13316 6.85407i 0.190446 0.315819i
\(472\) −0.358880 0.414169i −0.0165188 0.0190637i
\(473\) −7.21267 6.82992i −0.331639 0.314040i
\(474\) −12.7467 + 14.7105i −0.585476 + 0.675675i
\(475\) 0.694190 + 2.13650i 0.0318516 + 0.0980293i
\(476\) 0.368178 + 0.131366i 0.0168754 + 0.00602114i
\(477\) 74.9361 + 77.1074i 3.43109 + 3.53051i
\(478\) −14.9617 13.7317i −0.684333 0.628075i
\(479\) 1.66162 2.43004i 0.0759212 0.111031i −0.785642 0.618681i \(-0.787667\pi\)
0.861564 + 0.507650i \(0.169486\pi\)
\(480\) 21.3134 + 4.95622i 0.972819 + 0.226219i
\(481\) 27.9732 + 20.3237i 1.27547 + 0.926682i
\(482\) 18.3211 + 2.10215i 0.834503 + 0.0957503i
\(483\) −2.42293 −0.110247
\(484\) −10.2664 + 11.1273i −0.466654 + 0.505786i
\(485\) 2.73097 0.124007
\(486\) −88.9361 10.2045i −4.03422 0.462884i
\(487\) 7.41507 + 5.38736i 0.336009 + 0.244125i 0.742976 0.669318i \(-0.233414\pi\)
−0.406967 + 0.913443i \(0.633414\pi\)
\(488\) 12.9721 + 3.01652i 0.587218 + 0.136552i
\(489\) −34.1919 + 50.0041i −1.54621 + 2.26126i
\(490\) 9.46584 + 8.68767i 0.427623 + 0.392469i
\(491\) 10.4827 + 10.7864i 0.473077 + 0.486784i 0.911104 0.412178i \(-0.135232\pi\)
−0.438027 + 0.898962i \(0.644323\pi\)
\(492\) 13.4415 + 4.79593i 0.605991 + 0.216217i
\(493\) −2.99250 9.20996i −0.134775 0.414796i
\(494\) −15.6062 + 18.0105i −0.702156 + 0.810332i
\(495\) 6.24576 + 25.3632i 0.280726 + 1.13999i
\(496\) 20.2841 + 23.4091i 0.910783 + 1.05110i
\(497\) 0.552418 0.916083i 0.0247794 0.0410919i
\(498\) −17.2531 22.3742i −0.773130 1.00261i
\(499\) −6.25406 + 2.23144i −0.279970 + 0.0998932i −0.472302 0.881437i \(-0.656577\pi\)
0.192332 + 0.981330i \(0.438395\pi\)
\(500\) 1.23514 + 0.607275i 0.0552370 + 0.0271582i
\(501\) 56.6929 46.3576i 2.53285 2.07110i
\(502\) −0.794330 3.92017i −0.0354527 0.174966i
\(503\) −0.914898 0.0523157i −0.0407933 0.00233264i 0.0366803 0.999327i \(-0.488322\pi\)
−0.0774735 + 0.996994i \(0.524685\pi\)
\(504\) 0.583333 0.535378i 0.0259837 0.0238476i
\(505\) −0.748439 5.20551i −0.0333051 0.231642i
\(506\) 49.1879 13.6136i 2.18667 0.605200i
\(507\) 9.54228 66.3680i 0.423787 2.94751i
\(508\) −13.1300 19.2021i −0.582551 0.851954i
\(509\) −7.24019 18.5963i −0.320916 0.824266i −0.996231 0.0867366i \(-0.972356\pi\)
0.675315 0.737529i \(-0.264007\pi\)
\(510\) −11.9797 + 15.5356i −0.530471 + 0.687927i
\(511\) −0.278549 + 0.857286i −0.0123223 + 0.0379241i
\(512\) 10.8969 + 18.0704i 0.481579 + 0.798608i
\(513\) 13.1052 33.6604i 0.578608 1.48614i
\(514\) −11.4968 + 2.67346i −0.507101 + 0.117921i
\(515\) −0.468374 0.197937i −0.0206390 0.00872213i
\(516\) 11.4362 + 7.34962i 0.503452 + 0.323549i
\(517\) −1.59416 + 0.540932i −0.0701113 + 0.0237902i
\(518\) −0.812182 + 0.521958i −0.0356852 + 0.0229335i
\(519\) −0.726624 + 0.125747i −0.0318953 + 0.00551969i
\(520\) −0.566160 6.59168i −0.0248277 0.289064i
\(521\) 1.24722 14.5211i 0.0546415 0.636180i −0.916870 0.399187i \(-0.869293\pi\)
0.971511 0.236993i \(-0.0761620\pi\)
\(522\) 42.6537 + 7.38151i 1.86690 + 0.323080i
\(523\) 9.20972 3.89206i 0.402713 0.170188i −0.178499 0.983940i \(-0.557124\pi\)
0.581212 + 0.813752i \(0.302579\pi\)
\(524\) −21.6785 + 15.7503i −0.947029 + 0.688057i
\(525\) 0.251923 0.142267i 0.0109948 0.00620906i
\(526\) 0.718352 + 25.1456i 0.0313217 + 1.09640i
\(527\) −19.8044 + 5.81510i −0.862693 + 0.253310i
\(528\) −28.1471 + 45.0724i −1.22494 + 1.96153i
\(529\) −45.2251 13.2793i −1.96631 0.577361i
\(530\) −6.37729 + 24.2617i −0.277012 + 1.05386i
\(531\) −0.747973 + 3.69139i −0.0324593 + 0.160193i
\(532\) −0.126584 0.239904i −0.00548812 0.0104011i
\(533\) 0.518366 18.1452i 0.0224529 0.785956i
\(534\) 15.6188 + 59.4200i 0.675890 + 2.57135i
\(535\) −9.68015 + 0.553531i −0.418509 + 0.0239312i
\(536\) 5.86261 6.03248i 0.253226 0.260563i
\(537\) 11.9178 5.85960i 0.514292 0.252860i
\(538\) −13.9738 + 30.5984i −0.602454 + 1.31919i
\(539\) −20.3687 + 11.0875i −0.877341 + 0.477573i
\(540\) −9.19352 20.1310i −0.395626 0.866300i
\(541\) −24.2667 19.8428i −1.04331 0.853107i −0.0539388 0.998544i \(-0.517178\pi\)
−0.989368 + 0.145437i \(0.953541\pi\)
\(542\) 21.1379 40.0608i 0.907950 1.72076i
\(543\) 39.5534 + 22.3369i 1.69740 + 0.958566i
\(544\) −21.3413 + 2.44869i −0.915002 + 0.104987i
\(545\) 6.09377 0.699195i 0.261029 0.0299502i
\(546\) 2.67251 + 1.50924i 0.114373 + 0.0645894i
\(547\) 0.854225 1.61894i 0.0365240 0.0692207i −0.865493 0.500920i \(-0.832995\pi\)
0.902017 + 0.431700i \(0.142086\pi\)
\(548\) −8.36567 6.84057i −0.357364 0.292215i
\(549\) −38.0238 83.2604i −1.62281 3.55347i
\(550\) −4.31493 + 4.30363i −0.183989 + 0.183508i
\(551\) −2.79143 + 6.11238i −0.118919 + 0.260396i
\(552\) 28.4017 13.9642i 1.20886 0.594354i
\(553\) −0.196398 + 0.202088i −0.00835168 + 0.00859367i
\(554\) −6.07131 + 0.347170i −0.257945 + 0.0147498i
\(555\) −5.02102 19.1020i −0.213131 0.810833i
\(556\) −0.195914 + 6.85788i −0.00830860 + 0.290839i
\(557\) −9.29905 17.6237i −0.394014 0.746739i 0.604752 0.796414i \(-0.293272\pi\)
−0.998765 + 0.0496752i \(0.984181\pi\)
\(558\) 18.3228 90.4264i 0.775664 3.82805i
\(559\) 4.39574 16.7231i 0.185920 0.707313i
\(560\) 0.408957 + 0.120081i 0.0172816 + 0.00507434i
\(561\) −19.5289 29.5382i −0.824513 1.24710i
\(562\) 17.1639 5.03977i 0.724014 0.212590i
\(563\) 0.506019 + 17.7130i 0.0213261 + 0.746512i 0.937952 + 0.346766i \(0.112720\pi\)
−0.916626 + 0.399747i \(0.869098\pi\)
\(564\) 2.00610 1.13289i 0.0844719 0.0477035i
\(565\) −3.04722 + 2.21394i −0.128198 + 0.0931411i
\(566\) 8.78147 3.71108i 0.369113 0.155988i
\(567\) −2.54149 0.439821i −0.106732 0.0184708i
\(568\) −1.19577 + 13.9221i −0.0501734 + 0.584159i
\(569\) −1.16093 13.5165i −0.0486688 0.566640i −0.979534 0.201278i \(-0.935491\pi\)
0.930865 0.365362i \(-0.119055\pi\)
\(570\) 13.4135 2.32130i 0.561829 0.0972284i
\(571\) −23.2739 + 14.9573i −0.973984 + 0.625942i −0.927834 0.372993i \(-0.878332\pi\)
−0.0461501 + 0.998935i \(0.514695\pi\)
\(572\) −25.5734 6.36865i −1.06928 0.266287i
\(573\) −6.18821 3.97692i −0.258516 0.166138i
\(574\) 0.466873 + 0.197302i 0.0194869 + 0.00823523i
\(575\) 8.15699 1.89683i 0.340170 0.0791031i
\(576\) 7.07344 18.1680i 0.294727 0.757000i
\(577\) 5.21513 + 8.64833i 0.217109 + 0.360035i 0.945768 0.324841i \(-0.105311\pi\)
−0.728660 + 0.684876i \(0.759856\pi\)
\(578\) −3.70154 + 11.3922i −0.153964 + 0.473852i
\(579\) −31.8491 + 41.3027i −1.32360 + 1.71648i
\(580\) 1.49367 + 3.83646i 0.0620213 + 0.159300i
\(581\) −0.230882 0.337654i −0.00957859 0.0140082i
\(582\) 2.35516 16.3805i 0.0976244 0.678992i
\(583\) −37.7053 25.0708i −1.56159 1.03833i
\(584\) −1.67566 11.6545i −0.0693394 0.482266i
\(585\) −33.4992 + 30.7453i −1.38502 + 1.27116i
\(586\) 26.0123 + 1.48744i 1.07456 + 0.0614454i
\(587\) −8.15807 40.2617i −0.336720 1.66178i −0.688154 0.725565i \(-0.741579\pi\)
0.351434 0.936213i \(-0.385694\pi\)
\(588\) 24.5697 20.0905i 1.01324 0.828520i
\(589\) 12.8528 + 6.31931i 0.529592 + 0.260383i
\(590\) −0.827636 + 0.295300i −0.0340732 + 0.0121573i
\(591\) −40.3491 52.3257i −1.65974 2.15239i
\(592\) 15.0255 24.9170i 0.617545 1.02408i
\(593\) −20.8586 24.0721i −0.856559 0.988522i 0.143440 0.989659i \(-0.454183\pi\)
−0.999999 + 0.00113715i \(0.999638\pi\)
\(594\) 97.5155 9.65118i 4.00111 0.395993i
\(595\) −0.185994 + 0.214648i −0.00762500 + 0.00879972i
\(596\) 6.26167 + 19.2714i 0.256488 + 0.789389i
\(597\) −13.6082 4.85539i −0.556946 0.198718i
\(598\) 61.9172 + 63.7113i 2.53198 + 2.60535i
\(599\) 34.7896 + 31.9296i 1.42147 + 1.30461i 0.888809 + 0.458278i \(0.151534\pi\)
0.532657 + 0.846331i \(0.321194\pi\)
\(600\) −2.13311 + 3.11957i −0.0870839 + 0.127356i
\(601\) 18.9274 + 4.40139i 0.772067 + 0.179536i 0.593982 0.804479i \(-0.297555\pi\)
0.178085 + 0.984015i \(0.443010\pi\)
\(602\) 0.390594 + 0.283783i 0.0159194 + 0.0115661i
\(603\) −57.4361 6.59018i −2.33898 0.268373i
\(604\) −13.9306 −0.566826
\(605\) −4.82755 9.88407i −0.196268 0.401845i
\(606\) −31.8683 −1.29456
\(607\) −33.7525 3.87274i −1.36997 0.157190i −0.602421 0.798178i \(-0.705797\pi\)
−0.767550 + 0.640989i \(0.778525\pi\)
\(608\) 12.0590 + 8.76141i 0.489059 + 0.355322i
\(609\) 0.842925 + 0.196014i 0.0341570 + 0.00794288i
\(610\) 12.0538 17.6282i 0.488046 0.713744i
\(611\) −2.15896 1.98148i −0.0873422 0.0801619i
\(612\) 24.4578 + 25.1665i 0.988649 + 1.01730i
\(613\) 15.7298 + 5.61239i 0.635321 + 0.226682i 0.634020 0.773317i \(-0.281404\pi\)
0.00130176 + 0.999999i \(0.499586\pi\)
\(614\) −6.98887 21.5095i −0.282048 0.868054i
\(615\) −6.79030 + 7.83642i −0.273811 + 0.315995i
\(616\) −0.192471 + 0.272271i −0.00775488 + 0.0109701i
\(617\) −26.0002 30.0058i −1.04673 1.20799i −0.977620 0.210381i \(-0.932530\pi\)
−0.0691094 0.997609i \(-0.522016\pi\)
\(618\) −1.59116 + 2.63863i −0.0640056 + 0.106141i
\(619\) −3.55762 4.61361i −0.142993 0.185437i 0.714959 0.699166i \(-0.246445\pi\)
−0.857952 + 0.513730i \(0.828263\pi\)
\(620\) 8.26467 2.94883i 0.331917 0.118428i
\(621\) −120.843 59.4144i −4.84926 2.38422i
\(622\) 4.19877 3.43332i 0.168355 0.137663i
\(623\) 0.176641 + 0.871758i 0.00707698 + 0.0349262i
\(624\) −92.3504 5.28078i −3.69697 0.211401i
\(625\) −0.736741 + 0.676175i −0.0294696 + 0.0270470i
\(626\) 5.76114 + 40.0696i 0.230261 + 1.60150i
\(627\) −3.87554 + 24.2634i −0.154774 + 0.968986i
\(628\) 0.475388 3.30640i 0.0189700 0.131940i
\(629\) 10.9441 + 16.0052i 0.436369 + 0.638169i
\(630\) −0.460615 1.18308i −0.0183514 0.0471351i
\(631\) −2.58213 + 3.34856i −0.102793 + 0.133304i −0.840489 0.541829i \(-0.817732\pi\)
0.737696 + 0.675133i \(0.235914\pi\)
\(632\) 1.13747 3.50079i 0.0452463 0.139254i
\(633\) 3.91449 + 6.49146i 0.155587 + 0.258012i
\(634\) 9.89280 25.4095i 0.392893 1.00914i
\(635\) 16.4619 3.82806i 0.653271 0.151912i
\(636\) 57.0798 + 24.1221i 2.26336 + 0.956505i
\(637\) −33.9606 21.8252i −1.34557 0.864744i
\(638\) −18.2135 + 0.756835i −0.721081 + 0.0299634i
\(639\) 80.7897 51.9204i 3.19599 2.05394i
\(640\) −8.59411 + 1.48727i −0.339712 + 0.0587895i
\(641\) −1.05963 12.3370i −0.0418528 0.487283i −0.987009 0.160665i \(-0.948636\pi\)
0.945156 0.326618i \(-0.105909\pi\)
\(642\) −5.02795 + 58.5394i −0.198437 + 2.31036i
\(643\) −22.6665 3.92260i −0.893881 0.154692i −0.294969 0.955507i \(-0.595309\pi\)
−0.598912 + 0.800815i \(0.704400\pi\)
\(644\) −0.931450 + 0.393634i −0.0367043 + 0.0155114i
\(645\) −7.99069 + 5.80557i −0.314633 + 0.228594i
\(646\) −11.6363 + 6.57131i −0.457824 + 0.258545i
\(647\) −0.188295 6.59117i −0.00740263 0.259126i −0.994861 0.101248i \(-0.967717\pi\)
0.987459 0.157878i \(-0.0504653\pi\)
\(648\) 32.3262 9.49182i 1.26989 0.372874i
\(649\) −0.0205706 1.58597i −0.000807468 0.0622549i
\(650\) −10.1787 2.98875i −0.399243 0.117228i
\(651\) 0.468921 1.78396i 0.0183785 0.0699190i
\(652\) −5.02067 + 24.7780i −0.196625 + 0.970380i
\(653\) −13.2242 25.0626i −0.517501 0.980774i −0.994782 0.102023i \(-0.967468\pi\)
0.477281 0.878751i \(-0.341622\pi\)
\(654\) 1.06140 37.1537i 0.0415039 1.45283i
\(655\) −4.94936 18.8293i −0.193387 0.735722i
\(656\) −15.2508 + 0.872070i −0.595442 + 0.0340486i
\(657\) −56.3973 + 58.0314i −2.20027 + 2.26402i
\(658\) 0.0734272 0.0361017i 0.00286249 0.00140739i
\(659\) −0.616649 + 1.35027i −0.0240212 + 0.0525991i −0.921262 0.388942i \(-0.872841\pi\)
0.897241 + 0.441541i \(0.145568\pi\)
\(660\) 9.00580 + 12.0633i 0.350550 + 0.469561i
\(661\) 3.30092 + 7.22801i 0.128391 + 0.281137i 0.962901 0.269856i \(-0.0869763\pi\)
−0.834510 + 0.550993i \(0.814249\pi\)
\(662\) 37.2248 + 30.4386i 1.44678 + 1.18303i
\(663\) 28.7652 54.5162i 1.11715 2.11723i
\(664\) 4.65241 + 2.62734i 0.180549 + 0.101960i
\(665\) 0.195795 0.0224654i 0.00759262 0.000871172i
\(666\) −86.1056 + 9.87970i −3.33652 + 0.382830i
\(667\) 21.8125 + 12.3181i 0.844584 + 0.476958i
\(668\) 14.2632 27.0317i 0.551858 1.04589i
\(669\) −63.3777 51.8237i −2.45032 2.00362i
\(670\) −5.60324 12.2694i −0.216472 0.474008i
\(671\) 23.0592 + 30.8878i 0.890191 + 1.19241i
\(672\) 0.797475 1.74623i 0.0307633 0.0673622i
\(673\) −11.8853 + 5.84363i −0.458146 + 0.225255i −0.655677 0.755041i \(-0.727617\pi\)
0.197531 + 0.980297i \(0.436708\pi\)
\(674\) 7.46275 7.67898i 0.287454 0.295783i
\(675\) 16.0532 0.917955i 0.617888 0.0353321i
\(676\) −7.11391 27.0641i −0.273612 1.04093i
\(677\) −1.34946 + 47.2372i −0.0518639 + 1.81547i 0.392636 + 0.919694i \(0.371563\pi\)
−0.444500 + 0.895779i \(0.646619\pi\)
\(678\) 10.6514 + 20.1867i 0.409065 + 0.775265i
\(679\) 0.0475796 0.234815i 0.00182594 0.00901137i
\(680\) 0.943134 3.58805i 0.0361675 0.137596i
\(681\) 87.7098 + 25.7539i 3.36105 + 0.986892i
\(682\) 0.503909 + 38.8509i 0.0192957 + 1.48768i
\(683\) 5.79832 1.70254i 0.221867 0.0651459i −0.168910 0.985631i \(-0.554025\pi\)
0.390776 + 0.920486i \(0.372207\pi\)
\(684\) −0.695369 24.3411i −0.0265881 0.930705i
\(685\) 6.83663 3.86082i 0.261214 0.147514i
\(686\) 1.82481 1.32580i 0.0696715 0.0506193i
\(687\) 40.4695 17.1026i 1.54401 0.652503i
\(688\) −14.3377 2.48123i −0.546619 0.0945961i
\(689\) 6.74499 78.5304i 0.256963 2.99177i
\(690\) −4.34276 50.5618i −0.165326 1.92486i
\(691\) −33.9983 + 5.88363i −1.29336 + 0.223824i −0.775338 0.631546i \(-0.782421\pi\)
−0.518017 + 0.855370i \(0.673330\pi\)
\(692\) −0.258907 + 0.166390i −0.00984218 + 0.00632519i
\(693\) 2.28960 0.0951408i 0.0869748 0.00361410i
\(694\) 6.77246 + 4.35239i 0.257079 + 0.165215i
\(695\) −4.59151 1.94039i −0.174166 0.0736032i
\(696\) −11.0105 + 2.56038i −0.417351 + 0.0970508i
\(697\) 3.69309 9.48562i 0.139886 0.359294i
\(698\) 9.23503 + 15.3146i 0.349551 + 0.579666i
\(699\) 3.46665 10.6692i 0.131121 0.403548i
\(700\) 0.0737338 0.0956197i 0.00278688 0.00361409i
\(701\) 5.98480 + 15.3718i 0.226043 + 0.580586i 0.998516 0.0544614i \(-0.0173442\pi\)
−0.772473 + 0.635047i \(0.780981\pi\)
\(702\) 96.2815 + 140.807i 3.63391 + 5.31442i
\(703\) 1.91471 13.3171i 0.0722146 0.502263i
\(704\) −1.29500 + 8.10753i −0.0488071 + 0.305564i
\(705\) 0.238221 + 1.65687i 0.00897194 + 0.0624012i
\(706\) −7.39383 + 6.78599i −0.278270 + 0.255394i
\(707\) −0.460621 0.0263393i −0.0173234 0.000990590i
\(708\) 0.431076 + 2.12744i 0.0162008 + 0.0799542i
\(709\) −30.9045 + 25.2705i −1.16064 + 0.949054i −0.999284 0.0378414i \(-0.987952\pi\)
−0.161361 + 0.986896i \(0.551588\pi\)
\(710\) 20.1070 + 9.88593i 0.754601 + 0.371012i
\(711\) −23.8268 + 8.50140i −0.893576 + 0.318827i
\(712\) −7.09482 9.20072i −0.265889 0.344812i
\(713\) 27.5719 45.7229i 1.03258 1.71234i
\(714\) 1.12707 + 1.30071i 0.0421796 + 0.0486779i
\(715\) 11.0531 15.6358i 0.413362 0.584745i
\(716\) 3.62961 4.18880i 0.135645 0.156543i
\(717\) −11.2630 34.6640i −0.420625 1.29455i
\(718\) 6.60976 + 2.35836i 0.246674 + 0.0880131i
\(719\) 18.3493 + 18.8810i 0.684314 + 0.704142i 0.966916 0.255095i \(-0.0821067\pi\)
−0.282602 + 0.959237i \(0.591198\pi\)
\(720\) 28.1901 + 25.8726i 1.05058 + 0.964215i
\(721\) −0.0251792 + 0.0368234i −0.000937722 + 0.00137138i
\(722\) −24.9730 5.80722i −0.929398 0.216122i
\(723\) 26.7766 + 19.4543i 0.995831 + 0.723513i
\(724\) 18.8344 + 2.16105i 0.699976 + 0.0803148i
\(725\) −2.99122 −0.111091
\(726\) −63.4484 + 20.4319i −2.35479 + 0.758301i
\(727\) −0.132042 −0.00489717 −0.00244858 0.999997i \(-0.500779\pi\)
−0.00244858 + 0.999997i \(0.500779\pi\)
\(728\) −0.576631 0.0661623i −0.0213714 0.00245214i
\(729\) −58.6259 42.5942i −2.17133 1.57756i
\(730\) −18.3891 4.27621i −0.680612 0.158269i
\(731\) 5.47293 8.00391i 0.202424 0.296035i
\(732\) −38.8647 35.6697i −1.43648 1.31839i
\(733\) 18.6142 + 19.1535i 0.687531 + 0.707452i 0.967589 0.252531i \(-0.0812628\pi\)
−0.280058 + 0.959983i \(0.590354\pi\)
\(734\) 55.9474 + 19.9620i 2.06506 + 0.736811i
\(735\) 7.12577 + 21.9309i 0.262838 + 0.808933i
\(736\) 36.3893 41.9955i 1.34133 1.54797i
\(737\) 24.2278 2.39784i 0.892441 0.0883255i
\(738\) 29.7972 + 34.3877i 1.09685 + 1.26583i
\(739\) 14.3787 23.8444i 0.528929 0.877129i −0.471059 0.882102i \(-0.656128\pi\)
0.999988 + 0.00497218i \(0.00158270\pi\)
\(740\) −5.03357 6.52765i −0.185038 0.239961i
\(741\) −40.2841 + 14.3733i −1.47987 + 0.528017i
\(742\) 1.97497 + 0.971030i 0.0725036 + 0.0356476i
\(743\) 34.6152 28.3047i 1.26991 1.03840i 0.272827 0.962063i \(-0.412041\pi\)
0.997082 0.0763362i \(-0.0243222\pi\)
\(744\) 4.78485 + 23.6142i 0.175421 + 0.865738i
\(745\) −14.6984 0.840484i −0.538507 0.0307929i
\(746\) 36.0729 33.1074i 1.32072 1.21215i
\(747\) −5.22594 36.3472i −0.191207 1.32988i
\(748\) −12.3063 8.18267i −0.449965 0.299188i
\(749\) −0.121056 + 0.841965i −0.00442330 + 0.0307647i
\(750\) 3.42037 + 5.00214i 0.124894 + 0.182652i
\(751\) −6.71619 17.2504i −0.245077 0.629476i 0.754565 0.656225i \(-0.227848\pi\)
−0.999642 + 0.0267497i \(0.991484\pi\)
\(752\) −1.50585 + 1.95282i −0.0549127 + 0.0712121i
\(753\) 2.21835 6.82738i 0.0808412 0.248804i
\(754\) −16.3865 27.1739i −0.596759 0.989614i
\(755\) 3.67211 9.43174i 0.133642 0.343256i
\(756\) −1.89108 + 0.439752i −0.0687780 + 0.0159936i
\(757\) 25.2535 + 10.6722i 0.917856 + 0.387889i 0.796443 0.604713i \(-0.206712\pi\)
0.121412 + 0.992602i \(0.461258\pi\)
\(758\) −46.2917 29.7499i −1.68139 1.08056i
\(759\) 88.8844 + 22.1353i 3.22630 + 0.803460i
\(760\) −2.16564 + 1.39177i −0.0785561 + 0.0504849i
\(761\) 50.5229 8.74332i 1.83145 0.316945i 0.852764 0.522297i \(-0.174925\pi\)
0.978688 + 0.205352i \(0.0658338\pi\)
\(762\) −8.76429 102.041i −0.317497 3.69655i
\(763\) 0.0460490 0.536138i 0.00166708 0.0194095i
\(764\) −3.02504 0.523503i −0.109442 0.0189397i
\(765\) −23.4862 + 9.92534i −0.849144 + 0.358851i
\(766\) 33.7123 24.4934i 1.21807 0.884983i
\(767\) 2.40412 1.35767i 0.0868077 0.0490226i
\(768\) 1.97550 + 69.1515i 0.0712847 + 2.49529i
\(769\) 9.71059 2.85129i 0.350173 0.102820i −0.101916 0.994793i \(-0.532497\pi\)
0.452089 + 0.891973i \(0.350679\pi\)
\(770\) 0.294861 + 0.445987i 0.0106260 + 0.0160722i
\(771\) −20.3264 5.96836i −0.732036 0.214945i
\(772\) −5.53367 + 21.0523i −0.199161 + 0.757688i
\(773\) −0.299914 + 1.48013i