Properties

Label 507.2.t.b.10.2
Level $507$
Weight $2$
Character 507.10
Analytic conductor $4.048$
Analytic rank $0$
Dimension $360$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 507 = 3 \cdot 13^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 507.t (of order \(78\), degree \(24\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.04841538248\)
Analytic rank: \(0\)
Dimension: \(360\)
Relative dimension: \(15\) over \(\Q(\zeta_{78})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{78}]$

Embedding invariants

Embedding label 10.2
Character \(\chi\) \(=\) 507.10
Dual form 507.2.t.b.355.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.42455 - 0.494975i) q^{2} +(-0.987050 + 0.160411i) q^{3} +(3.79347 + 1.61625i) q^{4} +(0.0746454 - 0.302848i) q^{5} +(2.47255 + 0.0996403i) q^{6} +(-4.01396 + 1.90465i) q^{7} +(-4.32440 - 2.98492i) q^{8} +(0.948536 - 0.316668i) q^{9} +O(q^{10})\) \(q+(-2.42455 - 0.494975i) q^{2} +(-0.987050 + 0.160411i) q^{3} +(3.79347 + 1.61625i) q^{4} +(0.0746454 - 0.302848i) q^{5} +(2.47255 + 0.0996403i) q^{6} +(-4.01396 + 1.90465i) q^{7} +(-4.32440 - 2.98492i) q^{8} +(0.948536 - 0.316668i) q^{9} +(-0.330883 + 0.697322i) q^{10} +(1.26981 - 3.80356i) q^{11} +(-4.00361 - 0.986801i) q^{12} +(-1.26996 + 3.37449i) q^{13} +(10.6748 - 2.63110i) q^{14} +(-0.0250985 + 0.310900i) q^{15} +(3.29445 + 3.42989i) q^{16} +(-0.744504 - 1.56901i) q^{17} +(-2.45651 + 0.298275i) q^{18} +(-2.40942 - 1.39108i) q^{19} +(0.772642 - 1.02820i) q^{20} +(3.65645 - 2.52387i) q^{21} +(-4.96139 + 8.59337i) q^{22} +(0.703372 + 1.21828i) q^{23} +(4.74721 + 2.25258i) q^{24} +(4.34114 + 2.27840i) q^{25} +(4.74936 - 7.55302i) q^{26} +(-0.885456 + 0.464723i) q^{27} +(-18.3052 + 0.737675i) q^{28} +(-0.978149 + 4.79129i) q^{29} +(0.214740 - 0.741369i) q^{30} +(2.45367 + 4.67508i) q^{31} +(-0.673107 - 1.06443i) q^{32} +(-0.643236 + 3.95799i) q^{33} +(1.02847 + 4.17265i) q^{34} +(0.277196 + 1.35779i) q^{35} +(4.11006 + 0.331798i) q^{36} +(5.54542 - 8.76938i) q^{37} +(5.15320 + 4.56534i) q^{38} +(0.712206 - 3.53451i) q^{39} +(-1.22677 + 1.08683i) q^{40} +(-1.80160 - 11.0857i) q^{41} +(-10.1145 + 4.30938i) q^{42} +(5.54325 - 3.50534i) q^{43} +(10.9645 - 12.3763i) q^{44} +(-0.0250985 - 0.310900i) q^{45} +(-1.10234 - 3.30192i) q^{46} +(-3.09844 - 0.376218i) q^{47} +(-3.80198 - 2.85701i) q^{48} +(8.05708 - 9.86813i) q^{49} +(-9.39753 - 7.67285i) q^{50} +(0.986550 + 1.42926i) q^{51} +(-10.2716 + 10.7485i) q^{52} +(5.82433 - 8.43800i) q^{53} +(2.37686 - 0.688465i) q^{54} +(-1.05711 - 0.668478i) q^{55} +(23.0432 + 3.74488i) q^{56} +(2.60136 + 0.986567i) q^{57} +(4.74314 - 11.1325i) q^{58} +(1.93782 + 1.86130i) q^{59} +(-0.597701 + 1.13882i) q^{60} +(12.1873 - 0.983861i) q^{61} +(-3.63500 - 12.5495i) q^{62} +(-3.20425 + 3.07772i) q^{63} +(-2.26774 - 5.97955i) q^{64} +(0.927162 + 0.636495i) q^{65} +(3.51866 - 9.27795i) q^{66} +(-3.15010 - 7.39356i) q^{67} +(-0.288348 - 7.15529i) q^{68} +(-0.889688 - 1.08967i) q^{69} -3.42924i q^{70} +(9.40245 - 7.67686i) q^{71} +(-5.04708 - 1.46190i) q^{72} +(8.26333 + 9.32737i) q^{73} +(-17.7858 + 18.5169i) q^{74} +(-4.65040 - 1.55253i) q^{75} +(-6.89173 - 9.17123i) q^{76} +(2.14745 + 17.6859i) q^{77} +(-3.47627 + 8.21706i) q^{78} +(-0.327817 + 2.69981i) q^{79} +(1.28465 - 0.741694i) q^{80} +(0.799443 - 0.600742i) q^{81} +(-1.11907 + 27.7695i) q^{82} +(-6.01264 + 2.28029i) q^{83} +(17.9498 - 3.66448i) q^{84} +(-0.530745 + 0.108352i) q^{85} +(-15.1749 + 5.75509i) q^{86} +(0.196905 - 4.88615i) q^{87} +(-16.8445 + 12.6578i) q^{88} +(-2.48391 + 1.43408i) q^{89} +(-0.0930354 + 0.766215i) q^{90} +(-1.32966 - 15.9639i) q^{91} +(0.699185 + 5.75831i) q^{92} +(-3.17183 - 4.22094i) q^{93} +(7.32608 + 2.44581i) q^{94} +(-0.601138 + 0.625851i) q^{95} +(0.835138 + 0.942676i) q^{96} +(0.220992 + 0.0640112i) q^{97} +(-24.4192 + 19.9377i) q^{98} -4.00992i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 360q - 15q^{3} - 14q^{4} + 3q^{7} + 15q^{9} + O(q^{10}) \) \( 360q - 15q^{3} - 14q^{4} + 3q^{7} + 15q^{9} + 6q^{11} - 28q^{12} + 6q^{13} + 4q^{14} - 6q^{15} + 20q^{16} - 6q^{19} - 12q^{20} - 28q^{22} + 46q^{23} - 6q^{25} - 39q^{26} + 30q^{27} - 6q^{28} + 43q^{29} + 26q^{31} - 195q^{32} + 19q^{33} + 65q^{34} + 84q^{35} - 14q^{36} - 65q^{38} - 2q^{39} + 12q^{41} - 128q^{42} + 83q^{43} - 39q^{44} - 6q^{45} - 20q^{48} + 72q^{49} - 52q^{50} - 55q^{52} + 49q^{53} - 49q^{55} - 2q^{56} + 26q^{57} + 26q^{58} - 202q^{59} - 182q^{60} - 3q^{61} - 65q^{62} - 3q^{63} - 14q^{64} - 58q^{65} + 48q^{66} - 41q^{67} + 139q^{68} + 6q^{69} - 60q^{71} - 52q^{73} - 269q^{74} + 23q^{75} - 14q^{76} + 70q^{77} - 65q^{78} + 18q^{79} + 492q^{80} + 15q^{81} - 65q^{82} + 78q^{83} - 6q^{84} - 91q^{85} - 169q^{86} + 48q^{87} - 522q^{88} - 12q^{89} + 373q^{91} + 72q^{92} - 3q^{93} - 13q^{94} - 110q^{95} + 65q^{96} - 121q^{97} - 104q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/507\mathbb{Z}\right)^\times\).

\(n\) \(170\) \(340\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{78}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.42455 0.494975i −1.71441 0.350000i −0.760329 0.649538i \(-0.774962\pi\)
−0.954084 + 0.299538i \(0.903167\pi\)
\(3\) −0.987050 + 0.160411i −0.569874 + 0.0926135i
\(4\) 3.79347 + 1.61625i 1.89673 + 0.808123i
\(5\) 0.0746454 0.302848i 0.0333824 0.135438i −0.951886 0.306452i \(-0.900858\pi\)
0.985269 + 0.171014i \(0.0547043\pi\)
\(6\) 2.47255 + 0.0996403i 1.00941 + 0.0406780i
\(7\) −4.01396 + 1.90465i −1.51713 + 0.719889i −0.991413 0.130768i \(-0.958256\pi\)
−0.525721 + 0.850657i \(0.676205\pi\)
\(8\) −4.32440 2.98492i −1.52891 1.05533i
\(9\) 0.948536 0.316668i 0.316179 0.105556i
\(10\) −0.330883 + 0.697322i −0.104635 + 0.220513i
\(11\) 1.26981 3.80356i 0.382863 1.14682i −0.564164 0.825662i \(-0.690802\pi\)
0.947027 0.321153i \(-0.104070\pi\)
\(12\) −4.00361 0.986801i −1.15574 0.284865i
\(13\) −1.26996 + 3.37449i −0.352223 + 0.935916i
\(14\) 10.6748 2.63110i 2.85296 0.703191i
\(15\) −0.0250985 + 0.310900i −0.00648040 + 0.0802741i
\(16\) 3.29445 + 3.42989i 0.823614 + 0.857472i
\(17\) −0.744504 1.56901i −0.180569 0.380541i 0.792903 0.609348i \(-0.208569\pi\)
−0.973472 + 0.228807i \(0.926517\pi\)
\(18\) −2.45651 + 0.298275i −0.579006 + 0.0703040i
\(19\) −2.40942 1.39108i −0.552759 0.319136i 0.197475 0.980308i \(-0.436726\pi\)
−0.750234 + 0.661172i \(0.770059\pi\)
\(20\) 0.772642 1.02820i 0.172768 0.229912i
\(21\) 3.65645 2.52387i 0.797904 0.550753i
\(22\) −4.96139 + 8.59337i −1.05777 + 1.83211i
\(23\) 0.703372 + 1.21828i 0.146663 + 0.254028i 0.929992 0.367579i \(-0.119813\pi\)
−0.783329 + 0.621607i \(0.786480\pi\)
\(24\) 4.74721 + 2.25258i 0.969021 + 0.459806i
\(25\) 4.34114 + 2.27840i 0.868227 + 0.455681i
\(26\) 4.74936 7.55302i 0.931427 1.48127i
\(27\) −0.885456 + 0.464723i −0.170406 + 0.0894360i
\(28\) −18.3052 + 0.737675i −3.45936 + 0.139407i
\(29\) −0.978149 + 4.79129i −0.181638 + 0.889720i 0.782158 + 0.623080i \(0.214119\pi\)
−0.963796 + 0.266641i \(0.914086\pi\)
\(30\) 0.214740 0.741369i 0.0392060 0.135355i
\(31\) 2.45367 + 4.67508i 0.440693 + 0.839669i 0.999943 + 0.0106708i \(0.00339668\pi\)
−0.559251 + 0.828999i \(0.688911\pi\)
\(32\) −0.673107 1.06443i −0.118990 0.188167i
\(33\) −0.643236 + 3.95799i −0.111973 + 0.688998i
\(34\) 1.02847 + 4.17265i 0.176380 + 0.715603i
\(35\) 0.277196 + 1.35779i 0.0468546 + 0.229509i
\(36\) 4.11006 + 0.331798i 0.685009 + 0.0552997i
\(37\) 5.54542 8.76938i 0.911661 1.44168i 0.0145394 0.999894i \(-0.495372\pi\)
0.897122 0.441783i \(-0.145654\pi\)
\(38\) 5.15320 + 4.56534i 0.835960 + 0.740596i
\(39\) 0.712206 3.53451i 0.114044 0.565975i
\(40\) −1.22677 + 1.08683i −0.193970 + 0.171842i
\(41\) −1.80160 11.0857i −0.281362 1.73129i −0.614943 0.788571i \(-0.710821\pi\)
0.333581 0.942722i \(-0.391743\pi\)
\(42\) −10.1145 + 4.30938i −1.56070 + 0.664952i
\(43\) 5.54325 3.50534i 0.845338 0.534560i −0.0401647 0.999193i \(-0.512788\pi\)
0.885503 + 0.464633i \(0.153814\pi\)
\(44\) 10.9645 12.3763i 1.65296 1.86580i
\(45\) −0.0250985 0.310900i −0.00374146 0.0463463i
\(46\) −1.10234 3.30192i −0.162531 0.486841i
\(47\) −3.09844 0.376218i −0.451953 0.0548771i −0.108605 0.994085i \(-0.534638\pi\)
−0.343349 + 0.939208i \(0.611561\pi\)
\(48\) −3.80198 2.85701i −0.548769 0.412373i
\(49\) 8.05708 9.86813i 1.15101 1.40973i
\(50\) −9.39753 7.67285i −1.32901 1.08510i
\(51\) 0.986550 + 1.42926i 0.138145 + 0.200137i
\(52\) −10.2716 + 10.7485i −1.42441 + 1.49054i
\(53\) 5.82433 8.43800i 0.800033 1.15905i −0.184324 0.982865i \(-0.559010\pi\)
0.984357 0.176183i \(-0.0563750\pi\)
\(54\) 2.37686 0.688465i 0.323449 0.0936882i
\(55\) −1.05711 0.668478i −0.142541 0.0901376i
\(56\) 23.0432 + 3.74488i 3.07928 + 0.500431i
\(57\) 2.60136 + 0.986567i 0.344559 + 0.130674i
\(58\) 4.74314 11.1325i 0.622804 1.46178i
\(59\) 1.93782 + 1.86130i 0.252283 + 0.242321i 0.808188 0.588925i \(-0.200449\pi\)
−0.555905 + 0.831246i \(0.687628\pi\)
\(60\) −0.597701 + 1.13882i −0.0771629 + 0.147022i
\(61\) 12.1873 0.983861i 1.56042 0.125970i 0.730135 0.683303i \(-0.239457\pi\)
0.830289 + 0.557333i \(0.188175\pi\)
\(62\) −3.63500 12.5495i −0.461645 1.59378i
\(63\) −3.20425 + 3.07772i −0.403697 + 0.387756i
\(64\) −2.26774 5.97955i −0.283468 0.747444i
\(65\) 0.927162 + 0.636495i 0.115000 + 0.0789475i
\(66\) 3.51866 9.27795i 0.433117 1.14204i
\(67\) −3.15010 7.39356i −0.384846 0.903268i −0.993915 0.110150i \(-0.964867\pi\)
0.609069 0.793118i \(-0.291543\pi\)
\(68\) −0.288348 7.15529i −0.0349674 0.867706i
\(69\) −0.889688 1.08967i −0.107106 0.131181i
\(70\) 3.42924i 0.409872i
\(71\) 9.40245 7.67686i 1.11587 0.911076i 0.119216 0.992868i \(-0.461962\pi\)
0.996649 + 0.0817925i \(0.0260645\pi\)
\(72\) −5.04708 1.46190i −0.594804 0.172287i
\(73\) 8.26333 + 9.32737i 0.967149 + 1.09169i 0.995750 + 0.0920951i \(0.0293564\pi\)
−0.0286008 + 0.999591i \(0.509105\pi\)
\(74\) −17.7858 + 18.5169i −2.06755 + 2.15255i
\(75\) −4.65040 1.55253i −0.536982 0.179271i
\(76\) −6.89173 9.17123i −0.790536 1.05201i
\(77\) 2.14745 + 17.6859i 0.244725 + 2.01549i
\(78\) −3.47627 + 8.21706i −0.393610 + 0.930399i
\(79\) −0.327817 + 2.69981i −0.0368823 + 0.303753i 0.962581 + 0.270994i \(0.0873524\pi\)
−0.999463 + 0.0327587i \(0.989571\pi\)
\(80\) 1.28465 0.741694i 0.143628 0.0829239i
\(81\) 0.799443 0.600742i 0.0888270 0.0667491i
\(82\) −1.11907 + 27.7695i −0.123581 + 3.06663i
\(83\) −6.01264 + 2.28029i −0.659973 + 0.250295i −0.661774 0.749704i \(-0.730196\pi\)
0.00180085 + 0.999998i \(0.499427\pi\)
\(84\) 17.9498 3.66448i 1.95849 0.399828i
\(85\) −0.530745 + 0.108352i −0.0575674 + 0.0117525i
\(86\) −15.1749 + 5.75509i −1.63636 + 0.620588i
\(87\) 0.196905 4.88615i 0.0211104 0.523850i
\(88\) −16.8445 + 12.6578i −1.79563 + 1.34933i
\(89\) −2.48391 + 1.43408i −0.263293 + 0.152013i −0.625836 0.779955i \(-0.715242\pi\)
0.362543 + 0.931967i \(0.381909\pi\)
\(90\) −0.0930354 + 0.766215i −0.00980679 + 0.0807662i
\(91\) −1.32966 15.9639i −0.139386 1.67347i
\(92\) 0.699185 + 5.75831i 0.0728951 + 0.600345i
\(93\) −3.17183 4.22094i −0.328904 0.437691i
\(94\) 7.32608 + 2.44581i 0.755628 + 0.252266i
\(95\) −0.601138 + 0.625851i −0.0616754 + 0.0642109i
\(96\) 0.835138 + 0.942676i 0.0852359 + 0.0962114i
\(97\) 0.220992 + 0.0640112i 0.0224384 + 0.00649936i 0.289418 0.957203i \(-0.406538\pi\)
−0.266979 + 0.963702i \(0.586026\pi\)
\(98\) −24.4192 + 19.9377i −2.46671 + 2.01401i
\(99\) 4.00992i 0.403012i
\(100\) 12.7855 + 15.6594i 1.27855 + 1.56594i
\(101\) 0.280932 + 6.97125i 0.0279537 + 0.693665i 0.951039 + 0.309070i \(0.100018\pi\)
−0.923085 + 0.384595i \(0.874341\pi\)
\(102\) −1.68449 3.95363i −0.166789 0.391468i
\(103\) 1.07172 2.82588i 0.105599 0.278442i −0.871794 0.489873i \(-0.837043\pi\)
0.977393 + 0.211431i \(0.0678123\pi\)
\(104\) 15.5644 10.8019i 1.52621 1.05922i
\(105\) −0.491411 1.29575i −0.0479568 0.126452i
\(106\) −18.2980 + 17.5754i −1.77725 + 1.70708i
\(107\) −3.95008 13.6373i −0.381869 1.31836i −0.889557 0.456824i \(-0.848987\pi\)
0.507688 0.861541i \(-0.330500\pi\)
\(108\) −4.11006 + 0.331798i −0.395490 + 0.0319273i
\(109\) −0.685704 + 1.30650i −0.0656786 + 0.125140i −0.916082 0.400991i \(-0.868666\pi\)
0.850403 + 0.526131i \(0.176358\pi\)
\(110\) 2.23214 + 2.14400i 0.212826 + 0.204423i
\(111\) −4.06690 + 9.54537i −0.386013 + 0.906006i
\(112\) −19.7565 7.49267i −1.86682 0.707991i
\(113\) 16.4352 + 2.67098i 1.54609 + 0.251265i 0.872788 0.488100i \(-0.162310\pi\)
0.673306 + 0.739364i \(0.264874\pi\)
\(114\) −5.81880 3.67959i −0.544981 0.344625i
\(115\) 0.421456 0.122076i 0.0393010 0.0113837i
\(116\) −11.4545 + 16.5947i −1.06352 + 1.54078i
\(117\) −0.136008 + 3.60299i −0.0125740 + 0.333096i
\(118\) −3.77704 5.47198i −0.347704 0.503737i
\(119\) 5.97682 + 4.87992i 0.547894 + 0.447342i
\(120\) 1.03655 1.26954i 0.0946234 0.115893i
\(121\) −4.06074 3.05144i −0.369158 0.277404i
\(122\) −30.0357 3.64699i −2.71930 0.330183i
\(123\) 3.55654 + 10.6531i 0.320682 + 0.960560i
\(124\) 1.75185 + 21.7005i 0.157320 + 1.94876i
\(125\) 2.04823 2.31198i 0.183200 0.206790i
\(126\) 9.29224 5.87606i 0.827818 0.523481i
\(127\) −13.0505 + 5.56029i −1.15804 + 0.493396i −0.883616 0.468212i \(-0.844898\pi\)
−0.274426 + 0.961608i \(0.588488\pi\)
\(128\) 2.94257 + 18.1064i 0.260089 + 1.60039i
\(129\) −4.90917 + 4.34915i −0.432229 + 0.382921i
\(130\) −1.93290 2.00213i −0.169527 0.175599i
\(131\) 1.95044 + 1.72794i 0.170411 + 0.150971i 0.744018 0.668160i \(-0.232918\pi\)
−0.573607 + 0.819131i \(0.694456\pi\)
\(132\) −8.83718 + 13.9749i −0.769178 + 1.21636i
\(133\) 12.3208 + 0.994641i 1.06835 + 0.0862463i
\(134\) 3.97794 + 19.4853i 0.343642 + 1.68327i
\(135\) 0.0746454 + 0.302848i 0.00642445 + 0.0260650i
\(136\) −1.46383 + 9.00731i −0.125522 + 0.772370i
\(137\) −1.22434 1.93615i −0.104603 0.165416i 0.788832 0.614609i \(-0.210686\pi\)
−0.893435 + 0.449193i \(0.851712\pi\)
\(138\) 1.61773 + 3.08233i 0.137710 + 0.262385i
\(139\) 4.78221 16.5101i 0.405622 1.40037i −0.454713 0.890638i \(-0.650258\pi\)
0.860334 0.509730i \(-0.170255\pi\)
\(140\) −1.14300 + 5.59876i −0.0966008 + 0.473182i
\(141\) 3.11866 0.125678i 0.262639 0.0105840i
\(142\) −26.5965 + 13.9589i −2.23193 + 1.17141i
\(143\) 11.2225 + 9.11534i 0.938469 + 0.762263i
\(144\) 4.21105 + 2.21013i 0.350921 + 0.184177i
\(145\) 1.37802 + 0.653878i 0.114438 + 0.0543016i
\(146\) −15.4180 26.7048i −1.27600 2.21010i
\(147\) −6.36978 + 11.0328i −0.525371 + 0.909969i
\(148\) 35.2098 24.3036i 2.89423 1.99774i
\(149\) −5.45492 + 7.25918i −0.446885 + 0.594696i −0.965529 0.260294i \(-0.916180\pi\)
0.518645 + 0.854990i \(0.326437\pi\)
\(150\) 10.5066 + 6.06602i 0.857864 + 0.495288i
\(151\) 1.19552 0.145163i 0.0972904 0.0118132i −0.0717467 0.997423i \(-0.522857\pi\)
0.169037 + 0.985610i \(0.445934\pi\)
\(152\) 6.26704 + 13.2075i 0.508324 + 1.07127i
\(153\) −1.20304 1.25250i −0.0972604 0.101259i
\(154\) 3.54746 43.9431i 0.285862 3.54104i
\(155\) 1.59900 0.394117i 0.128434 0.0316562i
\(156\) 8.41437 12.2569i 0.673689 0.981341i
\(157\) 16.3769 + 4.03654i 1.30702 + 0.322151i 0.830502 0.557015i \(-0.188053\pi\)
0.476516 + 0.879166i \(0.341900\pi\)
\(158\) 2.13115 6.38356i 0.169545 0.507849i
\(159\) −4.39536 + 9.26302i −0.348574 + 0.734605i
\(160\) −0.372606 + 0.124394i −0.0294571 + 0.00983422i
\(161\) −5.14369 3.55043i −0.405380 0.279813i
\(162\) −2.23564 + 1.06082i −0.175648 + 0.0833462i
\(163\) 0.631752 + 0.0254588i 0.0494827 + 0.00199408i 0.0649949 0.997886i \(-0.479297\pi\)
−0.0155123 + 0.999880i \(0.504938\pi\)
\(164\) 11.0829 44.9650i 0.865427 3.51118i
\(165\) 1.15066 + 0.490249i 0.0895785 + 0.0381658i
\(166\) 15.7066 2.55257i 1.21907 0.198118i
\(167\) −1.61230 0.329153i −0.124763 0.0254706i 0.137238 0.990538i \(-0.456177\pi\)
−0.262002 + 0.965067i \(0.584383\pi\)
\(168\) −23.3455 −1.80114
\(169\) −9.77441 8.57094i −0.751878 0.659303i
\(170\) 1.34045 0.102808
\(171\) −2.72593 0.556503i −0.208457 0.0425569i
\(172\) 26.6936 4.33814i 2.03537 0.330780i
\(173\) −7.52791 3.20734i −0.572337 0.243850i 0.0863530 0.996265i \(-0.472479\pi\)
−0.658690 + 0.752415i \(0.728889\pi\)
\(174\) −2.89593 + 11.7492i −0.219540 + 0.890707i
\(175\) −21.7647 0.877087i −1.64526 0.0663016i
\(176\) 17.2291 8.17532i 1.29869 0.616238i
\(177\) −2.21130 1.52635i −0.166211 0.114727i
\(178\) 6.73218 2.24753i 0.504598 0.168460i
\(179\) −1.54046 + 3.24645i −0.115139 + 0.242651i −0.952837 0.303484i \(-0.901850\pi\)
0.837697 + 0.546135i \(0.183901\pi\)
\(180\) 0.407281 1.21996i 0.0303569 0.0909301i
\(181\) −3.21635 0.792759i −0.239069 0.0589253i 0.117960 0.993018i \(-0.462364\pi\)
−0.357030 + 0.934093i \(0.616211\pi\)
\(182\) −4.67792 + 39.3634i −0.346750 + 2.91781i
\(183\) −11.8717 + 2.92610i −0.877578 + 0.216304i
\(184\) 0.594792 7.36782i 0.0438486 0.543163i
\(185\) −2.24185 2.33401i −0.164824 0.171600i
\(186\) 5.60100 + 11.8039i 0.410685 + 0.865501i
\(187\) −6.91319 + 0.839414i −0.505543 + 0.0613840i
\(188\) −11.1458 6.43501i −0.812888 0.469321i
\(189\) 2.66905 3.55186i 0.194145 0.258360i
\(190\) 1.76727 1.21986i 0.128211 0.0884977i
\(191\) −5.59896 + 9.69768i −0.405126 + 0.701699i −0.994336 0.106281i \(-0.966106\pi\)
0.589210 + 0.807980i \(0.299439\pi\)
\(192\) 3.19756 + 5.53834i 0.230764 + 0.399695i
\(193\) 4.80060 + 2.27791i 0.345555 + 0.163968i 0.593557 0.804792i \(-0.297723\pi\)
−0.248003 + 0.968759i \(0.579774\pi\)
\(194\) −0.504122 0.264584i −0.0361939 0.0189960i
\(195\) −1.01726 0.479525i −0.0728473 0.0343395i
\(196\) 46.5136 24.4122i 3.32240 1.74373i
\(197\) 22.0967 0.890467i 1.57433 0.0634431i 0.762362 0.647151i \(-0.224040\pi\)
0.811964 + 0.583708i \(0.198399\pi\)
\(198\) −1.98481 + 9.72224i −0.141054 + 0.690929i
\(199\) 0.576370 1.98986i 0.0408578 0.141057i −0.937496 0.347995i \(-0.886863\pi\)
0.978354 + 0.206938i \(0.0663497\pi\)
\(200\) −11.9720 22.8107i −0.846545 1.61296i
\(201\) 4.29532 + 6.79251i 0.302969 + 0.479107i
\(202\) 2.76946 17.0412i 0.194858 1.19901i
\(203\) −5.19947 21.0951i −0.364931 1.48058i
\(204\) 1.43240 + 7.01637i 0.100288 + 0.491244i
\(205\) −3.49176 0.281884i −0.243875 0.0196876i
\(206\) −3.99716 + 6.32101i −0.278496 + 0.440406i
\(207\) 1.05296 + 0.932843i 0.0731859 + 0.0648371i
\(208\) −15.7580 + 6.76129i −1.09262 + 0.468811i
\(209\) −8.35056 + 7.39795i −0.577620 + 0.511727i
\(210\) 0.550089 + 3.38483i 0.0379597 + 0.233576i
\(211\) −8.75358 + 3.72955i −0.602621 + 0.256753i −0.671658 0.740861i \(-0.734418\pi\)
0.0690371 + 0.997614i \(0.478007\pi\)
\(212\) 35.7323 22.5957i 2.45410 1.55188i
\(213\) −8.04923 + 9.08571i −0.551524 + 0.622542i
\(214\) 2.82706 + 35.0194i 0.193254 + 2.39388i
\(215\) −0.647808 1.94042i −0.0441801 0.132336i
\(216\) 5.21623 + 0.633365i 0.354919 + 0.0430950i
\(217\) −18.7533 14.0922i −1.27306 0.956642i
\(218\) 2.30921 2.82826i 0.156399 0.191554i
\(219\) −9.65254 7.88105i −0.652258 0.532552i
\(220\) −2.92970 4.24441i −0.197521 0.286158i
\(221\) 6.24010 0.519747i 0.419755 0.0349620i
\(222\) 14.5851 21.1302i 0.978888 1.41816i
\(223\) −11.8413 + 3.42987i −0.792952 + 0.229681i −0.649886 0.760032i \(-0.725183\pi\)
−0.143066 + 0.989713i \(0.545696\pi\)
\(224\) 4.72920 + 2.99056i 0.315983 + 0.199815i
\(225\) 4.83922 + 0.786450i 0.322615 + 0.0524300i
\(226\) −38.5258 14.6109i −2.56270 0.971904i
\(227\) −1.97070 + 4.62540i −0.130800 + 0.306999i −0.972483 0.232973i \(-0.925155\pi\)
0.841683 + 0.539972i \(0.181565\pi\)
\(228\) 8.27365 + 7.94695i 0.547936 + 0.526300i
\(229\) −9.35112 + 17.8171i −0.617940 + 1.17739i 0.352448 + 0.935831i \(0.385349\pi\)
−0.970387 + 0.241554i \(0.922343\pi\)
\(230\) −1.08226 + 0.0873694i −0.0713624 + 0.00576097i
\(231\) −4.95666 17.1124i −0.326124 1.12591i
\(232\) 18.5315 17.7998i 1.21665 1.16861i
\(233\) −7.32442 19.3129i −0.479839 1.26523i −0.928435 0.371496i \(-0.878845\pi\)
0.448596 0.893735i \(-0.351924\pi\)
\(234\) 2.11315 8.66828i 0.138141 0.566664i
\(235\) −0.345221 + 0.910273i −0.0225197 + 0.0593796i
\(236\) 4.34273 + 10.1928i 0.282688 + 0.663493i
\(237\) −0.109509 2.71744i −0.00711337 0.176517i
\(238\) −12.0756 14.7900i −0.782748 0.958692i
\(239\) 27.6316i 1.78734i −0.448728 0.893668i \(-0.648123\pi\)
0.448728 0.893668i \(-0.351877\pi\)
\(240\) −1.14904 + 0.938162i −0.0741702 + 0.0605581i
\(241\) 24.5249 + 7.10372i 1.57979 + 0.457591i 0.948189 0.317706i \(-0.102913\pi\)
0.631597 + 0.775297i \(0.282400\pi\)
\(242\) 8.33505 + 9.40833i 0.535798 + 0.604790i
\(243\) −0.692724 + 0.721202i −0.0444383 + 0.0462652i
\(244\) 47.8223 + 15.9654i 3.06151 + 1.02208i
\(245\) −2.38712 3.17668i −0.152508 0.202951i
\(246\) −3.34996 27.5894i −0.213586 1.75904i
\(247\) 7.75405 6.36396i 0.493379 0.404929i
\(248\) 3.34407 27.5409i 0.212349 1.74885i
\(249\) 5.56899 3.21526i 0.352920 0.203759i
\(250\) −6.11041 + 4.59168i −0.386456 + 0.290403i
\(251\) −0.0599131 + 1.48673i −0.00378168 + 0.0938415i 0.996196 + 0.0871423i \(0.0277735\pi\)
−0.999978 + 0.00669922i \(0.997868\pi\)
\(252\) −17.1296 + 6.49638i −1.07906 + 0.409234i
\(253\) 5.52693 1.12833i 0.347475 0.0709375i
\(254\) 34.3937 7.02152i 2.15805 0.440569i
\(255\) 0.506491 0.192087i 0.0317177 0.0120289i
\(256\) 1.31278 32.5763i 0.0820488 2.03602i
\(257\) −21.7375 + 16.3347i −1.35595 + 1.01893i −0.359639 + 0.933091i \(0.617100\pi\)
−0.996309 + 0.0858379i \(0.972643\pi\)
\(258\) 14.0552 8.11480i 0.875041 0.505205i
\(259\) −5.55651 + 45.7620i −0.345265 + 2.84351i
\(260\) 2.48843 + 3.91305i 0.154326 + 0.242677i
\(261\) 0.589438 + 4.85446i 0.0364853 + 0.300484i
\(262\) −3.87365 5.15490i −0.239315 0.318471i
\(263\) 25.7245 + 8.58811i 1.58624 + 0.529566i 0.966813 0.255486i \(-0.0822354\pi\)
0.619430 + 0.785052i \(0.287364\pi\)
\(264\) 14.5959 15.1959i 0.898315 0.935245i
\(265\) −2.12067 2.39375i −0.130272 0.147047i
\(266\) −29.3801 8.51005i −1.80141 0.521785i
\(267\) 2.22170 1.81396i 0.135966 0.111012i
\(268\) 33.1386i 2.02426i
\(269\) −4.59376 5.62634i −0.280087 0.343044i 0.615333 0.788267i \(-0.289022\pi\)
−0.895419 + 0.445224i \(0.853124\pi\)
\(270\) −0.0310790 0.771217i −0.00189141 0.0469348i
\(271\) 5.69249 + 13.3608i 0.345794 + 0.811608i 0.998539 + 0.0540308i \(0.0172069\pi\)
−0.652745 + 0.757577i \(0.726383\pi\)
\(272\) 2.92879 7.72260i 0.177584 0.468251i
\(273\) 3.87323 + 15.5439i 0.234418 + 0.940759i
\(274\) 2.01014 + 5.30030i 0.121437 + 0.320203i
\(275\) 14.1785 13.6186i 0.854994 0.821232i
\(276\) −1.61383 5.57158i −0.0971411 0.335370i
\(277\) 17.2426 1.39196i 1.03601 0.0836350i 0.449255 0.893403i \(-0.351689\pi\)
0.586750 + 0.809768i \(0.300407\pi\)
\(278\) −19.7668 + 37.6624i −1.18553 + 2.25884i
\(279\) 3.80785 + 3.65749i 0.227970 + 0.218968i
\(280\) 2.85420 6.69905i 0.170571 0.400345i
\(281\) 4.04302 + 1.53332i 0.241187 + 0.0914700i 0.472237 0.881472i \(-0.343447\pi\)
−0.231050 + 0.972942i \(0.574216\pi\)
\(282\) −7.62355 1.23895i −0.453976 0.0737782i
\(283\) −1.73247 1.09555i −0.102985 0.0651235i 0.481981 0.876182i \(-0.339918\pi\)
−0.584965 + 0.811058i \(0.698892\pi\)
\(284\) 48.0756 13.9253i 2.85276 0.826312i
\(285\) 0.492960 0.714176i 0.0292004 0.0423041i
\(286\) −22.6975 27.6554i −1.34213 1.63530i
\(287\) 28.3459 + 41.0661i 1.67320 + 2.42405i
\(288\) −0.975539 0.796503i −0.0574842 0.0469344i
\(289\) 8.84407 10.8320i 0.520239 0.637177i
\(290\) −3.01742 2.26744i −0.177189 0.133149i
\(291\) −0.228399 0.0277326i −0.0133890 0.00162572i
\(292\) 16.2713 + 48.7386i 0.952209 + 2.85221i
\(293\) −2.07767 25.7366i −0.121379 1.50355i −0.715184 0.698937i \(-0.753657\pi\)
0.593805 0.804609i \(-0.297625\pi\)
\(294\) 20.9048 23.5966i 1.21919 1.37618i
\(295\) 0.708341 0.447927i 0.0412412 0.0260793i
\(296\) −50.1565 + 21.3697i −2.91529 + 1.24209i
\(297\) 0.643236 + 3.95799i 0.0373244 + 0.229666i
\(298\) 16.8188 14.9002i 0.974289 0.863144i
\(299\) −5.00431 + 0.826363i −0.289407 + 0.0477898i
\(300\) −15.1319 13.4057i −0.873639 0.773977i
\(301\) −15.5740 + 24.6282i −0.897668 + 1.41955i
\(302\) −2.97046 0.239800i −0.170931 0.0137989i
\(303\) −1.39556 6.83591i −0.0801728 0.392713i
\(304\) −3.16648 12.8469i −0.181610 0.736820i
\(305\) 0.611765 3.76434i 0.0350296 0.215546i
\(306\) 2.29688 + 3.63223i 0.131304 + 0.207641i
\(307\) −7.84485 14.9471i −0.447729 0.853077i −0.999814 0.0192888i \(-0.993860\pi\)
0.552085 0.833788i \(-0.313832\pi\)
\(308\) −20.4384 + 70.5616i −1.16459 + 4.02062i
\(309\) −0.604534 + 2.96120i −0.0343907 + 0.168457i
\(310\) −4.07192 + 0.164093i −0.231269 + 0.00931983i
\(311\) −21.2260 + 11.1402i −1.20361 + 0.631705i −0.942695 0.333656i \(-0.891718\pi\)
−0.260919 + 0.965361i \(0.584025\pi\)
\(312\) −13.6301 + 13.1588i −0.771652 + 0.744968i
\(313\) −2.03275 1.06687i −0.114898 0.0603029i 0.406295 0.913742i \(-0.366820\pi\)
−0.521193 + 0.853439i \(0.674513\pi\)
\(314\) −37.7085 17.8929i −2.12802 1.00976i
\(315\) 0.692900 + 1.20014i 0.0390405 + 0.0676201i
\(316\) −5.60712 + 9.71182i −0.315425 + 0.546333i
\(317\) −14.1074 + 9.73767i −0.792353 + 0.546922i −0.894089 0.447890i \(-0.852176\pi\)
0.101736 + 0.994811i \(0.467560\pi\)
\(318\) 15.2417 20.2830i 0.854712 1.13742i
\(319\) 16.9819 + 9.80449i 0.950802 + 0.548946i
\(320\) −1.98017 + 0.240436i −0.110695 + 0.0134408i
\(321\) 6.08650 + 12.8270i 0.339715 + 0.715935i
\(322\) 10.7137 + 11.1542i 0.597054 + 0.621599i
\(323\) −0.388793 + 4.81607i −0.0216330 + 0.267973i
\(324\) 4.00361 0.986801i 0.222423 0.0548223i
\(325\) −13.2015 + 11.7557i −0.732289 + 0.652086i
\(326\) −1.51911 0.374427i −0.0841358 0.0207376i
\(327\) 0.467247 1.39958i 0.0258388 0.0773967i
\(328\) −25.2990 + 53.3165i −1.39690 + 2.94391i
\(329\) 13.1536 4.39130i 0.725179 0.242100i
\(330\) −2.54716 1.75818i −0.140216 0.0967844i
\(331\) 24.0787 11.4255i 1.32349 0.628003i 0.369887 0.929077i \(-0.379397\pi\)
0.953601 + 0.301074i \(0.0973453\pi\)
\(332\) −26.4943 1.06768i −1.45406 0.0585967i
\(333\) 2.48305 10.0741i 0.136070 0.552059i
\(334\) 3.74617 + 1.59609i 0.204981 + 0.0873344i
\(335\) −2.47427 + 0.402108i −0.135184 + 0.0219695i
\(336\) 20.7026 + 4.22647i 1.12942 + 0.230573i
\(337\) −36.4027 −1.98298 −0.991490 0.130184i \(-0.958443\pi\)
−0.991490 + 0.130184i \(0.958443\pi\)
\(338\) 19.4561 + 25.6187i 1.05827 + 1.39347i
\(339\) −16.6508 −0.904349
\(340\) −2.18849 0.446783i −0.118687 0.0242302i
\(341\) 20.8976 3.39620i 1.13167 0.183914i
\(342\) 6.33370 + 2.69854i 0.342487 + 0.145920i
\(343\) −6.10265 + 24.7594i −0.329512 + 1.33688i
\(344\) −34.4344 1.38766i −1.85658 0.0748176i
\(345\) −0.396416 + 0.188102i −0.0213423 + 0.0101270i
\(346\) 16.6642 + 11.5025i 0.895874 + 0.618377i
\(347\) −21.1302 + 7.05431i −1.13433 + 0.378695i −0.820988 0.570945i \(-0.806577\pi\)
−0.313343 + 0.949640i \(0.601449\pi\)
\(348\) 8.64417 18.2172i 0.463376 0.976545i
\(349\) 7.41294 22.2045i 0.396805 1.18858i −0.540882 0.841098i \(-0.681910\pi\)
0.937688 0.347479i \(-0.112962\pi\)
\(350\) 52.3354 + 12.8995i 2.79744 + 0.689508i
\(351\) −0.443712 3.57814i −0.0236836 0.190987i
\(352\) −4.90335 + 1.20857i −0.261350 + 0.0644169i
\(353\) 1.80479 22.3563i 0.0960593 1.18991i −0.751692 0.659514i \(-0.770762\pi\)
0.847752 0.530393i \(-0.177956\pi\)
\(354\) 4.60589 + 4.79524i 0.244800 + 0.254864i
\(355\) −1.62307 3.42056i −0.0861438 0.181544i
\(356\) −11.7404 + 1.42555i −0.622242 + 0.0755539i
\(357\) −6.68222 3.85798i −0.353660 0.204186i
\(358\) 5.34183 7.10869i 0.282325 0.375706i
\(359\) 9.02269 6.22791i 0.476199 0.328697i −0.305672 0.952137i \(-0.598881\pi\)
0.781871 + 0.623440i \(0.214266\pi\)
\(360\) −0.819476 + 1.41937i −0.0431902 + 0.0748076i
\(361\) −5.62980 9.75109i −0.296305 0.513215i
\(362\) 7.40579 + 3.51409i 0.389240 + 0.184697i
\(363\) 4.49764 + 2.36054i 0.236065 + 0.123896i
\(364\) 20.7576 62.7076i 1.08799 3.28677i
\(365\) 3.44160 1.80629i 0.180141 0.0945455i
\(366\) 30.2317 1.21830i 1.58024 0.0636814i
\(367\) 7.26963 35.6090i 0.379472 1.85878i −0.120470 0.992717i \(-0.538440\pi\)
0.499942 0.866059i \(-0.333355\pi\)
\(368\) −1.86132 + 6.42604i −0.0970283 + 0.334980i
\(369\) −5.21936 9.94467i −0.271709 0.517699i
\(370\) 4.28019 + 6.76858i 0.222517 + 0.351882i
\(371\) −7.30721 + 44.9631i −0.379372 + 2.33437i
\(372\) −5.21017 21.1385i −0.270135 1.09598i
\(373\) −4.89893 23.9965i −0.253657 1.24249i −0.884484 0.466570i \(-0.845490\pi\)
0.630828 0.775923i \(-0.282716\pi\)
\(374\) 17.1769 + 1.38666i 0.888194 + 0.0717024i
\(375\) −1.65084 + 2.61060i −0.0852492 + 0.134811i
\(376\) 12.2759 + 10.8755i 0.633081 + 0.560861i
\(377\) −14.9260 9.38550i −0.768727 0.483378i
\(378\) −8.22932 + 7.29054i −0.423271 + 0.374985i
\(379\) 1.30605 + 8.03645i 0.0670873 + 0.412805i 0.998772 + 0.0495374i \(0.0157747\pi\)
−0.931685 + 0.363267i \(0.881661\pi\)
\(380\) −3.29193 + 1.40256i −0.168872 + 0.0719497i
\(381\) 11.9895 7.58173i 0.614243 0.388424i
\(382\) 18.3750 20.7411i 0.940149 1.06121i
\(383\) 0.0124779 + 0.154567i 0.000637593 + 0.00789800i 0.997068 0.0765169i \(-0.0243799\pi\)
−0.996431 + 0.0844149i \(0.973098\pi\)
\(384\) −5.80893 17.3999i −0.296436 0.887933i
\(385\) 5.51643 + 0.669816i 0.281143 + 0.0341370i
\(386\) −10.5118 7.89908i −0.535035 0.402052i
\(387\) 4.14795 5.08032i 0.210852 0.258247i
\(388\) 0.734870 + 0.600003i 0.0373074 + 0.0304605i
\(389\) 10.0550 + 14.5672i 0.509810 + 0.738587i 0.990381 0.138369i \(-0.0441860\pi\)
−0.480571 + 0.876956i \(0.659571\pi\)
\(390\) 2.22903 + 1.66615i 0.112872 + 0.0843687i
\(391\) 1.38782 2.01061i 0.0701852 0.101681i
\(392\) −64.2976 + 18.6240i −3.24752 + 0.940655i
\(393\) −2.20237 1.39269i −0.111095 0.0702521i
\(394\) −54.0153 8.77833i −2.72125 0.442246i
\(395\) 0.793164 + 0.300807i 0.0399084 + 0.0151353i
\(396\) 6.48102 15.2115i 0.325683 0.764407i
\(397\) 3.42309 + 3.28792i 0.171800 + 0.165016i 0.773693 0.633560i \(-0.218407\pi\)
−0.601893 + 0.798577i \(0.705587\pi\)
\(398\) −2.38237 + 4.53922i −0.119417 + 0.227531i
\(399\) −12.3208 + 0.994641i −0.616813 + 0.0497943i
\(400\) 6.48700 + 22.3957i 0.324350 + 1.11979i
\(401\) −24.1248 + 23.1722i −1.20473 + 1.15716i −0.221434 + 0.975175i \(0.571074\pi\)
−0.983301 + 0.181988i \(0.941747\pi\)
\(402\) −7.05209 18.5948i −0.351726 0.927426i
\(403\) −18.8921 + 2.34274i −0.941082 + 0.116700i
\(404\) −10.2015 + 26.8993i −0.507546 + 1.33829i
\(405\) −0.122259 0.286952i −0.00607510 0.0142588i
\(406\) 2.16483 + 53.7196i 0.107439 + 2.66606i
\(407\) −26.3132 32.2278i −1.30430 1.59747i
\(408\) 9.12548i 0.451779i
\(409\) −1.31441 + 1.07319i −0.0649936 + 0.0530656i −0.664385 0.747390i \(-0.731307\pi\)
0.599392 + 0.800456i \(0.295409\pi\)
\(410\) 8.32641 + 2.41177i 0.411212 + 0.119109i
\(411\) 1.51907 + 1.71467i 0.0749301 + 0.0845787i
\(412\) 8.63283 8.98773i 0.425309 0.442794i
\(413\) −11.3234 3.78032i −0.557190 0.186018i
\(414\) −2.09122 2.78291i −0.102778 0.136773i
\(415\) 0.241767 + 1.99113i 0.0118679 + 0.0977407i
\(416\) 4.44674 0.919608i 0.218019 0.0450875i
\(417\) −2.07187 + 17.0634i −0.101460 + 0.835599i
\(418\) 23.9081 13.8034i 1.16938 0.675145i
\(419\) 16.3081 12.2547i 0.796702 0.598683i −0.122500 0.992468i \(-0.539091\pi\)
0.919202 + 0.393786i \(0.128835\pi\)
\(420\) 0.230089 5.70961i 0.0112272 0.278600i
\(421\) −13.5343 + 5.13287i −0.659620 + 0.250161i −0.661622 0.749837i \(-0.730132\pi\)
0.00200260 + 0.999998i \(0.499363\pi\)
\(422\) 23.0695 4.70967i 1.12301 0.229263i
\(423\) −3.05812 + 0.624319i −0.148691 + 0.0303554i
\(424\) −50.3735 + 19.1041i −2.44635 + 0.927779i
\(425\) 0.342843 8.50756i 0.0166303 0.412677i
\(426\) 24.0129 18.0446i 1.16343 0.874261i
\(427\) −47.0454 + 27.1617i −2.27669 + 1.31445i
\(428\) 7.05666 58.1169i 0.341097 2.80918i
\(429\) −12.5393 7.19708i −0.605405 0.347479i
\(430\) 0.610181 + 5.02529i 0.0294255 + 0.242341i
\(431\) 22.3295 + 29.7152i 1.07557 + 1.43133i 0.894064 + 0.447939i \(0.147842\pi\)
0.181510 + 0.983389i \(0.441902\pi\)
\(432\) −4.51104 1.50601i −0.217038 0.0724578i
\(433\) 10.5692 11.0037i 0.507923 0.528804i −0.417026 0.908894i \(-0.636928\pi\)
0.924949 + 0.380091i \(0.124107\pi\)
\(434\) 38.4930 + 43.4496i 1.84772 + 2.08565i
\(435\) −1.46506 0.424361i −0.0702444 0.0203465i
\(436\) −4.71282 + 3.84790i −0.225703 + 0.184281i
\(437\) 3.91378i 0.187222i
\(438\) 19.5021 + 23.8857i 0.931846 + 1.14130i
\(439\) 0.572607 + 14.2091i 0.0273290 + 0.678163i 0.953559 + 0.301205i \(0.0973888\pi\)
−0.926230 + 0.376958i \(0.876970\pi\)
\(440\) 2.57603 + 6.04617i 0.122807 + 0.288240i
\(441\) 4.51751 11.9117i 0.215120 0.567224i
\(442\) −15.3867 1.82854i −0.731870 0.0869749i
\(443\) −0.394105 1.03917i −0.0187245 0.0493724i 0.925328 0.379167i \(-0.123790\pi\)
−0.944053 + 0.329795i \(0.893020\pi\)
\(444\) −30.8553 + 29.6369i −1.46433 + 1.40651i
\(445\) 0.248897 + 0.859294i 0.0117989 + 0.0407344i
\(446\) 30.4075 2.45475i 1.43984 0.116236i
\(447\) 4.21983 8.04021i 0.199591 0.380289i
\(448\) 20.4916 + 19.6824i 0.968136 + 0.929907i
\(449\) 4.75294 11.1556i 0.224305 0.526463i −0.769364 0.638811i \(-0.779427\pi\)
0.993669 + 0.112348i \(0.0358370\pi\)
\(450\) −11.3436 4.30208i −0.534745 0.202802i
\(451\) −44.4527 7.22427i −2.09320 0.340177i
\(452\) 58.0294 + 36.6956i 2.72948 + 1.72602i
\(453\) −1.15676 + 0.335059i −0.0543492 + 0.0157424i
\(454\) 7.06751 10.2391i 0.331695 0.480543i
\(455\) −4.93389 0.788948i −0.231304 0.0369864i
\(456\) −8.30452 12.0312i −0.388895 0.563411i
\(457\) 8.14187 + 6.64763i 0.380860 + 0.310963i 0.803466 0.595351i \(-0.202987\pi\)
−0.422605 + 0.906314i \(0.638884\pi\)
\(458\) 31.4912 38.5698i 1.47149 1.80225i
\(459\) 1.38838 + 1.04330i 0.0648041 + 0.0486971i
\(460\) 1.79608 + 0.218084i 0.0837429 + 0.0101682i
\(461\) 1.46680 + 4.39360i 0.0683157 + 0.204630i 0.977160 0.212505i \(-0.0681622\pi\)
−0.908844 + 0.417136i \(0.863034\pi\)
\(462\) 3.54746 + 43.9431i 0.165043 + 2.04442i
\(463\) 15.4952 17.4904i 0.720122 0.812850i −0.268499 0.963280i \(-0.586527\pi\)
0.988621 + 0.150430i \(0.0480659\pi\)
\(464\) −19.6561 + 12.4297i −0.912510 + 0.577036i
\(465\) −1.51507 + 0.645510i −0.0702596 + 0.0299348i
\(466\) 8.19900 + 50.4504i 0.379811 + 2.33707i
\(467\) 22.6243 20.0434i 1.04693 0.927496i 0.0494702 0.998776i \(-0.484247\pi\)
0.997456 + 0.0712796i \(0.0227083\pi\)
\(468\) −6.33925 + 13.4480i −0.293032 + 0.621633i
\(469\) 26.7265 + 23.6776i 1.23412 + 1.09333i
\(470\) 1.28757 2.03612i 0.0593910 0.0939193i
\(471\) −16.8123 1.35723i −0.774671 0.0625379i
\(472\) −2.82408 13.8332i −0.129989 0.636726i
\(473\) −6.29386 25.5352i −0.289392 1.17411i
\(474\) −1.07955 + 6.64276i −0.0495855 + 0.305112i
\(475\) −7.29018 11.5285i −0.334496 0.528964i
\(476\) 14.7857 + 28.1718i 0.677702 + 1.29125i
\(477\) 2.85255 9.84813i 0.130609 0.450915i
\(478\) −13.6769 + 66.9940i −0.625568 + 3.06423i
\(479\) −34.9475 + 1.40834i −1.59679 + 0.0643485i −0.822607 0.568610i \(-0.807481\pi\)
−0.774186 + 0.632959i \(0.781840\pi\)
\(480\) 0.347827 0.182554i 0.0158760 0.00833239i
\(481\) 22.5498 + 29.8497i 1.02818 + 1.36103i
\(482\) −55.9455 29.3625i −2.54825 1.33742i
\(483\) 5.64661 + 2.67935i 0.256930 + 0.121915i
\(484\) −10.4724 18.1387i −0.476018 0.824487i
\(485\) 0.0358817 0.0621490i 0.00162931 0.00282204i
\(486\) 2.03652 1.40571i 0.0923784 0.0637642i
\(487\) −14.8506 + 19.7626i −0.672947 + 0.895529i −0.998754 0.0499070i \(-0.984108\pi\)
0.325807 + 0.945436i \(0.394364\pi\)
\(488\) −55.6395 32.1235i −2.51868 1.45416i
\(489\) −0.627655 + 0.0762112i −0.0283836 + 0.00344639i
\(490\) 4.21531 + 8.88358i 0.190428 + 0.401319i
\(491\) −10.8881 11.3357i −0.491374 0.511574i 0.428632 0.903479i \(-0.358996\pi\)
−0.920006 + 0.391905i \(0.871816\pi\)
\(492\) −3.72646 + 46.1605i −0.168002 + 2.08108i
\(493\) 8.24581 2.03241i 0.371373 0.0915352i
\(494\) −21.9501 + 11.5917i −0.987580 + 0.521533i
\(495\) −1.21440 0.299322i −0.0545831 0.0134535i
\(496\) −7.95151 + 23.8177i −0.357033 + 1.06944i
\(497\) −23.1193 + 48.7230i −1.03704 + 2.18552i
\(498\) −15.0938 + 5.03903i −0.676367 + 0.225805i
\(499\) 29.9116 + 20.6465i 1.33903 + 0.924265i 0.999864 0.0164627i \(-0.00524048\pi\)
0.339164 + 0.940727i \(0.389856\pi\)
\(500\) 11.5066 5.45997i 0.514592 0.244177i
\(501\) 1.64422 + 0.0662598i 0.0734583 + 0.00296027i
\(502\) 0.881155 3.57499i 0.0393279 0.159559i
\(503\) 17.9754 + 7.65861i 0.801484 + 0.341481i 0.753567 0.657371i \(-0.228331\pi\)
0.0479170 + 0.998851i \(0.484742\pi\)
\(504\) 23.0432 3.74488i 1.02643 0.166810i
\(505\) 2.13220 + 0.435292i 0.0948816 + 0.0193702i
\(506\) −13.9588 −0.620544
\(507\) 11.0227 + 6.89202i 0.489536 + 0.306085i
\(508\) −58.4933 −2.59522
\(509\) 22.2026 + 4.53269i 0.984111 + 0.200908i 0.665028 0.746819i \(-0.268420\pi\)
0.319084 + 0.947727i \(0.396625\pi\)
\(510\) −1.32309 + 0.215023i −0.0585874 + 0.00952138i
\(511\) −50.9340 21.7010i −2.25319 0.959994i
\(512\) −10.5274 + 42.7113i −0.465249 + 1.88759i
\(513\) 2.77990 + 0.112026i 0.122736 + 0.00494608i
\(514\) 60.7889 28.8447i 2.68128 1.27228i
\(515\) −0.775814 0.535506i −0.0341865 0.0235972i
\(516\) −25.6521 + 8.56392i −1.12927 + 0.377006i
\(517\) −5.36540 + 11.3073i −0.235970 + 0.497296i
\(518\) 36.1231 108.202i 1.58716 4.75411i
\(519\) 7.94492 + 1.95825i 0.348743 + 0.0859575i
\(520\) −2.10954 5.51996i −0.0925093 0.242066i
\(521\) −21.4006 + 5.27479i −0.937579 + 0.231093i −0.678363 0.734727i \(-0.737310\pi\)
−0.259216 + 0.965819i \(0.583464\pi\)
\(522\) 0.973715 12.0616i 0.0426184 0.527923i
\(523\) 10.8796 + 11.3268i 0.475730 + 0.495287i 0.915217 0.402962i \(-0.132019\pi\)
−0.439487 + 0.898249i \(0.644840\pi\)
\(524\) 4.60617 + 9.70729i 0.201221 + 0.424065i
\(525\) 21.6235 2.62557i 0.943729 0.114589i
\(526\) −58.1194 33.5553i −2.53413 1.46308i
\(527\) 5.50848 7.33045i 0.239953 0.319319i
\(528\) −15.6946 + 10.8332i −0.683019 + 0.471454i
\(529\) 10.5105 18.2048i 0.456980 0.791512i
\(530\) 3.95683 + 6.85343i 0.171874 + 0.297694i
\(531\) 2.42751 + 1.15187i 0.105345 + 0.0499867i
\(532\) 45.1311 + 23.6866i 1.95668 + 1.02695i
\(533\) 39.6965 + 7.99888i 1.71945 + 0.346470i
\(534\) −6.28447 + 3.29834i −0.271956 + 0.142733i
\(535\) −4.42488 + 0.178316i −0.191304 + 0.00770929i
\(536\) −8.44687 + 41.3755i −0.364849 + 1.78715i
\(537\) 0.999745 3.45152i 0.0431422 0.148944i
\(538\) 8.35290 + 15.9151i 0.360119 + 0.686149i
\(539\) −27.3030 43.1762i −1.17602 1.85973i
\(540\) −0.206312 + 1.26949i −0.00887826 + 0.0546301i
\(541\) −0.765053 3.10394i −0.0328922 0.133449i 0.952200 0.305474i \(-0.0988150\pi\)
−0.985093 + 0.172025i \(0.944969\pi\)
\(542\) −7.18846 35.2114i −0.308771 1.51246i
\(543\) 3.30186 + 0.266554i 0.141697 + 0.0114389i
\(544\) −1.16898 + 1.84859i −0.0501194 + 0.0792575i
\(545\) 0.344487 + 0.305188i 0.0147562 + 0.0130728i
\(546\) −1.69699 39.6040i −0.0726246 1.69490i
\(547\) 21.3837 18.9443i 0.914301 0.810000i −0.0679276 0.997690i \(-0.521639\pi\)
0.982228 + 0.187691i \(0.0601002\pi\)
\(548\) −1.51522 9.32355i −0.0647272 0.398282i
\(549\) 11.2485 4.79256i 0.480076 0.204541i
\(550\) −41.1172 + 26.0009i −1.75324 + 1.10868i
\(551\) 9.02184 10.1836i 0.384343 0.433834i
\(552\) 0.594792 + 7.36782i 0.0253160 + 0.313595i
\(553\) −3.82635 11.4613i −0.162713 0.487385i
\(554\) −42.4944 5.15975i −1.80541 0.219217i
\(555\) 2.58722 + 1.94417i 0.109821 + 0.0825254i
\(556\) 44.8255 54.9013i 1.90103 2.32833i
\(557\) 8.52022 + 6.95655i 0.361013 + 0.294758i 0.795541 0.605900i \(-0.207187\pi\)
−0.434527 + 0.900659i \(0.643084\pi\)
\(558\) −7.42194 10.7525i −0.314196 0.455191i
\(559\) 4.78905 + 23.1573i 0.202555 + 0.979450i
\(560\) −3.74387 + 5.42394i −0.158208 + 0.229203i
\(561\) 6.68902 1.93750i 0.282411 0.0818012i
\(562\) −9.04355 5.71879i −0.381479 0.241233i
\(563\) 12.6047 + 2.04846i 0.531223 + 0.0863321i 0.420106 0.907475i \(-0.361993\pi\)
0.111117 + 0.993807i \(0.464557\pi\)
\(564\) 12.0337 + 4.56377i 0.506709 + 0.192169i
\(565\) 2.03571 4.77799i 0.0856431 0.201012i
\(566\) 3.65818 + 3.51373i 0.153765 + 0.147693i
\(567\) −2.06473 + 3.93401i −0.0867105 + 0.165213i
\(568\) −63.5747 + 5.13228i −2.66754 + 0.215346i
\(569\) −5.92667 20.4612i −0.248459 0.857780i −0.983676 0.179948i \(-0.942407\pi\)
0.735217 0.677832i \(-0.237080\pi\)
\(570\) −1.54870 + 1.48755i −0.0648680 + 0.0623066i
\(571\) 14.9495 + 39.4186i 0.625617 + 1.64962i 0.753202 + 0.657790i \(0.228508\pi\)
−0.127584 + 0.991828i \(0.540722\pi\)
\(572\) 27.8394 + 52.7170i 1.16402 + 2.20421i
\(573\) 3.97084 10.4702i 0.165884 0.437400i
\(574\) −48.3992 113.597i −2.02014 4.74145i
\(575\) 0.277708 + 6.89126i 0.0115812 + 0.287385i
\(576\) −4.04457 4.95370i −0.168524 0.206404i
\(577\) 5.67461i 0.236237i 0.993000 + 0.118118i \(0.0376863\pi\)
−0.993000 + 0.118118i \(0.962314\pi\)
\(578\) −26.8044 + 21.8851i −1.11492 + 0.910302i
\(579\) −5.10383 1.47834i −0.212108 0.0614379i
\(580\) 4.17064 + 4.70768i 0.173177 + 0.195476i
\(581\) 19.7913 20.6050i 0.821083 0.854838i
\(582\) 0.540036 + 0.180291i 0.0223852 + 0.00747329i
\(583\) −24.6986 32.8678i −1.02291 1.36125i
\(584\) −7.89250 65.0006i −0.326594 2.68975i
\(585\) 1.08101 + 0.310136i 0.0446941 + 0.0128225i
\(586\) −7.70154 + 63.4279i −0.318148 + 2.62018i
\(587\) 8.69359 5.01925i 0.358823 0.207167i −0.309741 0.950821i \(-0.600242\pi\)
0.668564 + 0.743654i \(0.266909\pi\)
\(588\) −41.9952 + 31.5574i −1.73185 + 1.30140i
\(589\) 0.591483 14.6775i 0.0243716 0.604775i
\(590\) −1.93912 + 0.735410i −0.0798322 + 0.0302764i
\(591\) −21.6677 + 4.42350i −0.891291 + 0.181958i
\(592\) 48.3471 9.87014i 1.98706 0.405660i
\(593\) 16.6522 6.31533i 0.683822 0.259340i 0.0118650 0.999930i \(-0.496223\pi\)
0.671957 + 0.740590i \(0.265454\pi\)
\(594\) 0.399550 9.91472i 0.0163937 0.406806i
\(595\) 1.92402 1.44581i 0.0788770 0.0592722i
\(596\) −32.4257 + 18.7210i −1.32821 + 0.766841i
\(597\) −0.249710 + 2.05655i −0.0102200 + 0.0841689i
\(598\) 12.5422 + 0.473454i 0.512890 + 0.0193610i
\(599\) −4.19097 34.5157i −0.171238 1.41027i −0.784370 0.620294i \(-0.787013\pi\)
0.613131 0.789981i \(-0.289910\pi\)
\(600\) 15.4760 + 20.5948i 0.631805 + 0.840780i
\(601\) −7.48534 2.49897i −0.305333 0.101935i 0.159873 0.987138i \(-0.448892\pi\)
−0.465206 + 0.885202i \(0.654020\pi\)
\(602\) 49.9502 52.0036i 2.03582 2.11951i
\(603\) −5.32929 6.01553i −0.217026 0.244971i
\(604\) 4.76980 + 1.38159i 0.194080 + 0.0562161i
\(605\) −1.22724 + 1.00201i −0.0498944 + 0.0407375i
\(606\) 17.2647i 0.701332i
\(607\) −17.1987 21.0646i −0.698073 0.854984i 0.296923 0.954901i \(-0.404040\pi\)
−0.994996 + 0.0999174i \(0.968142\pi\)
\(608\) 0.141086 + 3.50101i 0.00572179 + 0.141985i
\(609\) 8.51603 + 19.9879i 0.345087 + 0.809949i
\(610\) −3.34651 + 8.82402i −0.135496 + 0.357274i
\(611\) 5.20443 9.97787i 0.210549 0.403661i
\(612\) −2.53936 6.69574i −0.102648 0.270659i
\(613\) 8.49995 8.16432i 0.343310 0.329754i −0.501162 0.865353i \(-0.667094\pi\)
0.844472 + 0.535600i \(0.179914\pi\)
\(614\) 11.6218 + 40.1230i 0.469016 + 1.61923i
\(615\) 3.49176 0.281884i 0.140801 0.0113667i
\(616\) 43.5044 82.8907i 1.75284 3.33976i
\(617\) 30.6046 + 29.3962i 1.23210 + 1.18344i 0.976231 + 0.216732i \(0.0695398\pi\)
0.255865 + 0.966712i \(0.417640\pi\)
\(618\) 2.93144 6.88034i 0.117920 0.276768i
\(619\) 25.9781 + 9.85218i 1.04415 + 0.395993i 0.816254 0.577694i \(-0.196047\pi\)
0.227893 + 0.973686i \(0.426816\pi\)
\(620\) 6.70273 + 1.08930i 0.269188 + 0.0437473i
\(621\) −1.18897 0.751856i −0.0477115 0.0301709i
\(622\) 56.9775 16.5037i 2.28459 0.661739i
\(623\) 7.23887 10.4873i 0.290019 0.420166i
\(624\) 14.4693 9.20149i 0.579236 0.368354i
\(625\) 13.3780 + 19.3814i 0.535120 + 0.775255i
\(626\) 4.40041 + 3.59283i 0.175876 + 0.143598i
\(627\) 7.05571 8.64167i 0.281778 0.345115i
\(628\) 55.6012 + 41.7816i 2.21873 + 1.66727i
\(629\) −17.8878 2.17198i −0.713234 0.0866023i
\(630\) −1.08593 3.25276i −0.0432645 0.129593i
\(631\) −2.04244 25.3002i −0.0813084 1.00719i −0.900840 0.434152i \(-0.857048\pi\)
0.819531 0.573034i \(-0.194234\pi\)
\(632\) 9.47633 10.6966i 0.376948 0.425487i
\(633\) 8.04196 5.08543i 0.319639 0.202128i
\(634\) 39.0241 16.6266i 1.54984 0.660326i
\(635\) 0.709765 + 4.36736i 0.0281662 + 0.173313i
\(636\) −31.6450 + 28.0350i −1.25480 + 1.11166i
\(637\) 23.0678 + 39.7207i 0.913978 + 1.57379i
\(638\) −36.3204 32.1770i −1.43794 1.27390i
\(639\) 6.48755 10.2592i 0.256643 0.405849i
\(640\) 5.70313 + 0.460404i 0.225436 + 0.0181991i
\(641\) 0.315346 + 1.54467i 0.0124554 + 0.0610107i 0.985543 0.169423i \(-0.0541905\pi\)
−0.973088 + 0.230434i \(0.925985\pi\)
\(642\) −8.40795 34.1124i −0.331835 1.34631i
\(643\) −3.75382 + 23.0982i −0.148036 + 0.910904i 0.801671 + 0.597765i \(0.203945\pi\)
−0.949707 + 0.313139i \(0.898620\pi\)
\(644\) −13.7741 21.7819i −0.542774 0.858328i
\(645\) 0.950685 + 1.81138i 0.0374332 + 0.0713229i
\(646\) 3.32648 11.4843i 0.130879 0.451845i
\(647\) 6.52955 31.9839i 0.256703 1.25742i −0.623124 0.782123i \(-0.714137\pi\)
0.879828 0.475293i \(-0.157658\pi\)
\(648\) −5.25028 + 0.211579i −0.206250 + 0.00831160i
\(649\) 9.54023 5.00710i 0.374487 0.196546i
\(650\) 37.8265 21.9677i 1.48368 0.861644i
\(651\) 20.7710 + 10.9015i 0.814081 + 0.427263i
\(652\) 2.35538 + 1.11764i 0.0922440 + 0.0437703i
\(653\) −6.94673 12.0321i −0.271847 0.470852i 0.697488 0.716596i \(-0.254301\pi\)
−0.969335 + 0.245744i \(0.920968\pi\)
\(654\) −1.82562 + 3.16206i −0.0713873 + 0.123646i
\(655\) 0.668896 0.461705i 0.0261359 0.0180403i
\(656\) 32.0874 42.7006i 1.25280 1.66718i
\(657\) 10.7917 + 6.23062i 0.421026 + 0.243080i
\(658\) −34.0650 + 4.13624i −1.32799 + 0.161247i
\(659\) 11.8089 + 24.8868i 0.460010 + 0.969451i 0.992412 + 0.122959i \(0.0392384\pi\)
−0.532402 + 0.846492i \(0.678710\pi\)
\(660\) 3.57261 + 3.71949i 0.139064 + 0.144781i
\(661\) −0.648386 + 8.03171i −0.0252193 + 0.312397i 0.971833 + 0.235671i \(0.0757288\pi\)
−0.997052 + 0.0767262i \(0.975553\pi\)
\(662\) −64.0354 + 15.7833i −2.48881 + 0.613435i
\(663\) −6.07592 + 1.51400i −0.235969 + 0.0587988i
\(664\) 32.8075 + 8.08633i 1.27318 + 0.313811i
\(665\) 1.22092 3.65710i 0.0473452 0.141816i
\(666\) −11.0067 + 23.1962i −0.426502 + 0.898833i
\(667\) −6.52511 + 2.17840i −0.252653 + 0.0843481i
\(668\) −5.58421 3.85450i −0.216060 0.149135i
\(669\) 11.1378 5.28494i 0.430611 0.204327i
\(670\) 6.19801 + 0.249771i 0.239450 + 0.00964951i
\(671\) 11.7334 47.6044i 0.452964 1.83775i
\(672\) −5.14767 2.19322i −0.198576 0.0846053i
\(673\) −38.9819 + 6.33517i −1.50264 + 0.244203i −0.855354 0.518044i \(-0.826660\pi\)
−0.647287 + 0.762247i \(0.724096\pi\)
\(674\) 88.2600 + 18.0184i 3.39965 + 0.694043i
\(675\) −4.90271 −0.188705
\(676\) −23.2262 48.3114i −0.893314 1.85813i
\(677\) 21.3687 0.821266 0.410633 0.911801i \(-0.365308\pi\)
0.410633 + 0.911801i \(0.365308\pi\)
\(678\) 40.3707 + 8.24174i 1.55043 + 0.316522i
\(679\) −1.00897 + 0.163974i −0.0387209 + 0.00629275i
\(680\) 2.61858 + 1.11567i 0.100418 + 0.0427841i
\(681\) 1.20321 4.88163i 0.0461072 0.187064i
\(682\) −52.3483 2.10957i −2.00452 0.0807794i
\(683\) 6.20647 2.94501i 0.237484 0.112688i −0.306232 0.951957i \(-0.599068\pi\)
0.543716 + 0.839269i \(0.317017\pi\)
\(684\) −9.44129 6.51685i −0.360997 0.249178i
\(685\) −0.677750 + 0.226266i −0.0258955 + 0.00864518i
\(686\) 27.0515 57.0097i 1.03283 2.17664i
\(687\) 6.37197 19.0864i 0.243106 0.728191i
\(688\) 30.2849 + 7.46457i 1.15460 + 0.284584i
\(689\) 21.0773 + 30.3701i 0.802982 + 1.15701i
\(690\) 1.05423 0.259845i 0.0401340 0.00989214i
\(691\) −2.29538 + 28.4334i −0.0873204 + 1.08166i 0.793615 + 0.608420i \(0.208196\pi\)
−0.880935 + 0.473237i \(0.843086\pi\)
\(692\) −23.3730 24.3339i −0.888510 0.925036i
\(693\) 7.63749 + 16.0957i 0.290124 + 0.611424i
\(694\) 54.7230 6.64457i 2.07726 0.252225i
\(695\) −4.64308 2.68069i −0.176122 0.101684i
\(696\) −15.4363 + 20.5419i −0.585110 + 0.778640i
\(697\) −16.0522 + 11.0801i −0.608022 + 0.419687i
\(698\) −28.9637 + 50.1665i −1.09629 + 1.89883i
\(699\) 10.3276 + 17.8879i 0.390625 + 0.676582i
\(700\) −81.1461 38.5043i −3.06703 1.45533i
\(701\) −14.3380 7.52518i −0.541540 0.284222i 0.171691 0.985151i \(-0.445077\pi\)
−0.713231 + 0.700929i \(0.752769\pi\)
\(702\) −0.695290 + 8.89501i −0.0262420 + 0.335720i
\(703\) −25.5602 + 13.4150i −0.964019 + 0.505956i
\(704\) −25.6232 + 1.03258i −0.965709 + 0.0389167i
\(705\) 0.194732 0.953862i 0.00733405 0.0359245i
\(706\) −15.4416 + 53.3106i −0.581153 + 2.00637i
\(707\) −14.4054 27.4472i −0.541772 1.03226i
\(708\) −5.92153 9.36416i −0.222545 0.351927i
\(709\) 3.24920 19.9932i 0.122026 0.750859i −0.851851 0.523784i \(-0.824520\pi\)
0.973877 0.227075i \(-0.0729161\pi\)
\(710\) 2.24213 + 9.09668i 0.0841456 + 0.341392i
\(711\) 0.543999 + 2.66468i 0.0204015 + 0.0999333i
\(712\) 15.0220 + 1.21270i 0.562974 + 0.0454480i
\(713\) −3.96969 + 6.27757i −0.148666 + 0.235097i
\(714\) 14.2917 + 12.6614i 0.534855 + 0.473840i
\(715\) 3.59827 2.71828i 0.134568 0.101658i
\(716\) −11.0908 + 9.82555i −0.414481 + 0.367198i
\(717\) 4.43241 + 27.2737i 0.165531 + 1.01856i
\(718\) −24.9586 + 10.6339i −0.931446 + 0.396852i
\(719\) −14.9460 + 9.45130i −0.557393 + 0.352474i −0.783270 0.621682i \(-0.786450\pi\)
0.225877 + 0.974156i \(0.427475\pi\)
\(720\) 0.983668 1.11033i 0.0366591 0.0413796i
\(721\) 1.08049 + 13.3842i 0.0402394 + 0.498454i
\(722\) 8.82316 + 26.4286i 0.328364 + 0.983570i
\(723\) −25.3468 3.07766i −0.942658 0.114459i
\(724\) −10.9198 8.20571i −0.405832 0.304963i
\(725\) −15.1628 + 18.5710i −0.563131 + 0.689710i
\(726\) −9.73632 7.94946i −0.361349 0.295032i
\(727\) −25.4213 36.8291i −0.942824 1.36592i −0.930619 0.365990i \(-0.880730\pi\)
−0.0122049 0.999926i \(-0.503885\pi\)
\(728\) −41.9010 + 73.0032i −1.55295 + 2.70568i
\(729\) 0.568065 0.822984i 0.0210394 0.0304809i
\(730\) −9.23838 + 2.67593i −0.341928 + 0.0990406i
\(731\) −9.62689 6.08768i −0.356063 0.225161i
\(732\) −49.7640 8.08745i −1.83933 0.298921i
\(733\) −34.5833 13.1157i −1.27736 0.484440i −0.379695 0.925112i \(-0.623971\pi\)
−0.897668 + 0.440672i \(0.854740\pi\)
\(734\) −35.2511 + 82.7375i −1.30114 + 3.05390i
\(735\) 2.86578 + 2.75262i 0.105706 + 0.101532i
\(736\) 0.823329 1.56872i 0.0303483 0.0578239i
\(737\) −32.1219 + 2.59315i −1.18322 + 0.0955197i
\(738\) 7.73223 + 26.6948i 0.284627 + 0.982648i
\(739\) 24.2144 23.2582i 0.890740 0.855567i −0.0994861 0.995039i \(-0.531720\pi\)
0.990226 + 0.139472i \(0.0445404\pi\)
\(740\) −4.73205 12.4774i −0.173954 0.458678i
\(741\) −6.63279 + 7.52538i −0.243662 + 0.276452i
\(742\) 39.9723 105.398i 1.46743 3.86929i
\(743\) 13.3662 + 31.3716i 0.490358 + 1.15091i 0.962962 + 0.269637i \(0.0869037\pi\)
−0.472604 + 0.881275i \(0.656686\pi\)
\(744\) 1.11711 + 27.7207i 0.0409551 + 1.01629i
\(745\) 1.79125 + 2.19388i 0.0656262 + 0.0803775i
\(746\) 60.6055i 2.21893i
\(747\) −4.98111 + 4.06695i −0.182249 + 0.148802i
\(748\) −27.5817 7.98913i −1.00849 0.292112i
\(749\) 41.8297 + 47.2159i 1.52842 + 1.72523i
\(750\) 5.29473 5.51239i 0.193336 0.201284i
\(751\) −13.2567 4.42575i −0.483745 0.161498i 0.0643272 0.997929i \(-0.479510\pi\)
−0.548072 + 0.836431i \(0.684638\pi\)
\(752\) −8.91727 11.8667i −0.325179 0.432735i
\(753\) −0.179351 1.47709i −0.00653591 0.0538280i
\(754\) 31.5431 + 30.1436i 1.14873 + 1.09776i
\(755\) 0.0452780 0.372898i 0.00164784 0.0135711i
\(756\) 15.8656 9.16003i 0.577028 0.333147i
\(757\) 22.5410 16.9385i 0.819267 0.615639i −0.106252 0.994339i \(-0.533885\pi\)
0.925520 + 0.378700i \(0.123629\pi\)
\(758\) 0.811260 20.1312i 0.0294663 0.731199i
\(759\) −5.27436 + 2.00030i −0.191447 + 0.0726063i
\(760\) 4.46767 0.912082i 0.162060 0.0330847i
\(761\) 18.2481 3.72539i 0.661495 0.135045i 0.142463 0.989800i \(-0.454498\pi\)
0.519032 + 0.854755i \(0.326293\pi\)
\(762\) −32.8220 + 12.4477i −1.18901 + 0.450934i
\(763\) 0.263967 6.55027i 0.00955623 0.237136i
\(764\) −36.9133 + 27.7385i −1.33548 + 1.00355i
\(765\) −0.469120 + 0.270846i −0.0169611 + 0.00979247i
\(766\) 0.0462534 0.380931i 0.00167120 0.0137636i
\(767\) −8.74189 + 4.17538i −0.315652 + 0.150764i
\(768\) 3.92983 + 32.3650i 0.141805 + 1.16787i
\(769\) −22.6560 30.1496i −0.816996 1.08722i −0.994667 0.103134i \(-0.967113\pi\)
0.177672 0.984090i \(-0.443143\pi\)
\(770\) −13.0433 4.35449i −0.470048 0.156925i
\(771\) 18.8357 19.6101i 0.678353 0.706240i
\(772\) 14.5292 + 16.4001i 0.522919 + 0.590254i
\(773\) 27.9282 + 8.08951i 1.00451 + 0.290959i 0.739405