Properties

Label 507.2.t.b.355.2
Level $507$
Weight $2$
Character 507.355
Analytic conductor $4.048$
Analytic rank $0$
Dimension $360$
CM no
Inner twists $2$

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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 355.2
Character \(\chi\) \(=\) 507.355
Dual form 507.2.t.b.10.2

$q$-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 \(\left(\mathbb{Z}/507\mathbb{Z}\right)^\times\).

\(n\) \(170\) \(340\)
\(\chi(n)\) \(1\) \(e\left(\frac{73}{78}\right)\)

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 −0.954084 0.299538i \(-0.903167\pi\)
−0.760329 + 0.649538i \(0.774962\pi\)
\(3\) −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 0.985269 0.171014i \(-0.0547043\pi\)
−0.951886 + 0.306452i \(0.900858\pi\)
\(6\) 2.47255 0.0996403i 1.00941 0.0406780i
\(7\) −4.01396 1.90465i −1.51713 0.719889i −0.525721 0.850657i \(-0.676205\pi\)
−0.991413 + 0.130768i \(0.958256\pi\)
\(8\) −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 0.947027 + 0.321153i \(0.104070\pi\)
−0.564164 + 0.825662i \(0.690802\pi\)
\(12\) −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 −0.973472 0.228807i \(-0.926517\pi\)
0.792903 + 0.609348i \(0.208569\pi\)
\(18\) −2.45651 0.298275i −0.579006 0.0703040i
\(19\) −2.40942 + 1.39108i −0.552759 + 0.319136i −0.750234 0.661172i \(-0.770059\pi\)
0.197475 + 0.980308i \(0.436726\pi\)
\(20\) 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 −0.783329 0.621607i \(-0.786480\pi\)
0.929992 + 0.367579i \(0.119813\pi\)
\(24\) 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 −0.963796 0.266641i \(-0.914086\pi\)
0.782158 0.623080i \(-0.214119\pi\)
\(30\) 0.214740 + 0.741369i 0.0392060 + 0.135355i
\(31\) 2.45367 4.67508i 0.440693 0.839669i −0.559251 0.828999i \(-0.688911\pi\)
0.999943 0.0106708i \(-0.00339668\pi\)
\(32\) −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 0.897122 + 0.441783i \(0.145654\pi\)
0.0145394 + 0.999894i \(0.495372\pi\)
\(38\) 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 0.333581 + 0.942722i \(0.391743\pi\)
−0.614943 + 0.788571i \(0.710821\pi\)
\(42\) −10.1145 4.30938i −1.56070 0.664952i
\(43\) 5.54325 + 3.50534i 0.845338 + 0.534560i 0.885503 0.464633i \(-0.153814\pi\)
−0.0401647 + 0.999193i \(0.512788\pi\)
\(44\) 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 −0.343349 0.939208i \(-0.611561\pi\)
−0.108605 + 0.994085i \(0.534638\pi\)
\(48\) −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 0.984357 + 0.176183i \(0.0563750\pi\)
−0.184324 + 0.982865i \(0.559010\pi\)
\(54\) 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 −0.555905 0.831246i \(-0.687628\pi\)
0.808188 + 0.588925i \(0.200449\pi\)
\(60\) −0.597701 1.13882i −0.0771629 0.147022i
\(61\) 12.1873 + 0.983861i 1.56042 + 0.125970i 0.830289 0.557333i \(-0.188175\pi\)
0.730135 + 0.683303i \(0.239457\pi\)
\(62\) −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 0.609069 + 0.793118i \(0.291543\pi\)
−0.993915 + 0.110150i \(0.964867\pi\)
\(68\) −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 0.996649 0.0817925i \(-0.0260645\pi\)
0.119216 + 0.992868i \(0.461962\pi\)
\(72\) −5.04708 + 1.46190i −0.594804 + 0.172287i
\(73\) 8.26333 9.32737i 0.967149 1.09169i −0.0286008 0.999591i \(-0.509105\pi\)
0.995750 0.0920951i \(-0.0293564\pi\)
\(74\) −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 −0.999463 0.0327587i \(-0.989571\pi\)
0.962581 0.270994i \(-0.0873524\pi\)
\(80\) 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 0.00180085 0.999998i \(-0.499427\pi\)
−0.661774 + 0.749704i \(0.730196\pi\)
\(84\) 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 0.362543 0.931967i \(-0.381909\pi\)
−0.625836 + 0.779955i \(0.715242\pi\)
\(90\) −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 −0.266979 0.963702i \(-0.586026\pi\)
0.289418 + 0.957203i \(0.406538\pi\)
\(98\) −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 −0.923085 0.384595i \(-0.874341\pi\)
0.951039 0.309070i \(-0.100018\pi\)
\(102\) −1.68449 + 3.95363i −0.166789 + 0.391468i
\(103\) 1.07172 + 2.82588i 0.105599 + 0.278442i 0.977393 0.211431i \(-0.0678123\pi\)
−0.871794 + 0.489873i \(0.837043\pi\)
\(104\) 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 0.507688 + 0.861541i \(0.330500\pi\)
−0.889557 + 0.456824i \(0.848987\pi\)
\(108\) −4.11006 0.331798i −0.395490 0.0319273i
\(109\) −0.685704 1.30650i −0.0656786 0.125140i 0.850403 0.526131i \(-0.176358\pi\)
−0.916082 + 0.400991i \(0.868666\pi\)
\(110\) 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 0.673306 0.739364i \(-0.264874\pi\)
0.872788 + 0.488100i \(0.162310\pi\)
\(114\) −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 −0.274426 0.961608i \(-0.588488\pi\)
−0.883616 + 0.468212i \(0.844898\pi\)
\(128\) 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 −0.573607 0.819131i \(-0.694456\pi\)
0.744018 + 0.668160i \(0.232918\pi\)
\(132\) −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 −0.893435 0.449193i \(-0.851712\pi\)
0.788832 + 0.614609i \(0.210686\pi\)
\(138\) 1.61773 3.08233i 0.137710 0.262385i
\(139\) 4.78221 + 16.5101i 0.405622 + 1.40037i 0.860334 + 0.509730i \(0.170255\pi\)
−0.454713 + 0.890638i \(0.650258\pi\)
\(140\) −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 0.518645 0.854990i \(-0.326437\pi\)
−0.965529 + 0.260294i \(0.916180\pi\)
\(150\) 10.5066 6.06602i 0.857864 0.495288i
\(151\) 1.19552 + 0.145163i 0.0972904 + 0.0118132i 0.169037 0.985610i \(-0.445934\pi\)
−0.0717467 + 0.997423i \(0.522857\pi\)
\(152\) 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 0.476516 0.879166i \(-0.341900\pi\)
0.830502 + 0.557015i \(0.188053\pi\)
\(158\) 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 −0.0155123 0.999880i \(-0.504938\pi\)
0.0649949 + 0.997886i \(0.479297\pi\)
\(164\) 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 −0.262002 0.965067i \(-0.584383\pi\)
0.137238 + 0.990538i \(0.456177\pi\)
\(168\) −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 −0.658690 0.752415i \(-0.728889\pi\)
0.0863530 + 0.996265i \(0.472479\pi\)
\(174\) −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 0.837697 0.546135i \(-0.183901\pi\)
−0.952837 + 0.303484i \(0.901850\pi\)
\(180\) 0.407281 + 1.21996i 0.0303569 + 0.0909301i
\(181\) −3.21635 + 0.792759i −0.239069 + 0.0589253i −0.357030 0.934093i \(-0.616211\pi\)
0.117960 + 0.993018i \(0.462364\pi\)
\(182\) −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 0.589210 0.807980i \(-0.299439\pi\)
−0.994336 + 0.106281i \(0.966106\pi\)
\(192\) 3.19756 5.53834i 0.230764 0.399695i
\(193\) 4.80060 2.27791i 0.345555 0.163968i −0.248003 0.968759i \(-0.579774\pi\)
0.593557 + 0.804792i \(0.297723\pi\)
\(194\) −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 0.811964 0.583708i \(-0.198399\pi\)
0.762362 + 0.647151i \(0.224040\pi\)
\(198\) −1.98481 9.72224i −0.141054 0.690929i
\(199\) 0.576370 + 1.98986i 0.0408578 + 0.141057i 0.978354 0.206938i \(-0.0663497\pi\)
−0.937496 + 0.347995i \(0.886863\pi\)
\(200\) −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 0.0690371 0.997614i \(-0.478007\pi\)
−0.671658 + 0.740861i \(0.734418\pi\)
\(212\) 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 −0.143066 0.989713i \(-0.545696\pi\)
−0.649886 + 0.760032i \(0.725183\pi\)
\(224\) 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 0.841683 0.539972i \(-0.181565\pi\)
−0.972483 + 0.232973i \(0.925155\pi\)
\(228\) 8.27365 7.94695i 0.547936 0.526300i
\(229\) −9.35112 17.8171i −0.617940 1.17739i −0.970387 0.241554i \(-0.922343\pi\)
0.352448 0.935831i \(-0.385349\pi\)
\(230\) −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 0.448596 + 0.893735i \(0.351924\pi\)
−0.928435 + 0.371496i \(0.878845\pi\)
\(234\) 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 \(0.351877\pi\)
−0.448728 + 0.893668i \(0.648123\pi\)
\(240\) −1.14904 0.938162i −0.0741702 0.0605581i
\(241\) 24.5249 7.10372i 1.57979 0.457591i 0.631597 0.775297i \(-0.282400\pi\)
0.948189 + 0.317706i \(0.102913\pi\)
\(242\) 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 −0.999978 0.00669922i \(-0.997868\pi\)
0.996196 0.0871423i \(-0.0277735\pi\)
\(252\) −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 −0.996309 0.0858379i \(-0.972643\pi\)
−0.359639 0.933091i \(-0.617100\pi\)
\(258\) 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 0.619430 0.785052i \(-0.287364\pi\)
0.966813 + 0.255486i \(0.0822354\pi\)
\(264\) 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 −0.895419 0.445224i \(-0.853124\pi\)
0.615333 + 0.788267i \(0.289022\pi\)
\(270\) −0.0310790 + 0.771217i −0.00189141 + 0.0469348i
\(271\) 5.69249 13.3608i 0.345794 0.811608i −0.652745 0.757577i \(-0.726383\pi\)
0.998539 0.0540308i \(-0.0172069\pi\)
\(272\) 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 0.586750 0.809768i \(-0.300407\pi\)
0.449255 + 0.893403i \(0.351689\pi\)
\(278\) −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 −0.231050 0.972942i \(-0.574216\pi\)
0.472237 + 0.881472i \(0.343447\pi\)
\(282\) −7.62355 + 1.23895i −0.453976 + 0.0737782i
\(283\) −1.73247 + 1.09555i −0.102985 + 0.0651235i −0.584965 0.811058i \(-0.698892\pi\)
0.481981 + 0.876182i \(0.339918\pi\)
\(284\) 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 0.593805 + 0.804609i \(0.297625\pi\)
−0.715184 + 0.698937i \(0.753657\pi\)
\(294\) 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 0.552085 + 0.833788i \(0.313832\pi\)
−0.999814 + 0.0192888i \(0.993860\pi\)
\(308\) −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 −0.260919 0.965361i \(-0.584025\pi\)
−0.942695 + 0.333656i \(0.891718\pi\)
\(312\) −13.6301 13.1588i −0.771652 0.744968i
\(313\) −2.03275 + 1.06687i −0.114898 + 0.0603029i −0.521193 0.853439i \(-0.674513\pi\)
0.406295 + 0.913742i \(0.366820\pi\)
\(314\) −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 0.101736 0.994811i \(-0.467560\pi\)
−0.894089 + 0.447890i \(0.852176\pi\)
\(318\) 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 0.953601 0.301074i \(-0.0973453\pi\)
0.369887 + 0.929077i \(0.379397\pi\)
\(332\) −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 −0.313343 0.949640i \(-0.601449\pi\)
−0.820988 + 0.570945i \(0.806577\pi\)
\(348\) 8.64417 + 18.2172i 0.463376 + 0.976545i
\(349\) 7.41294 + 22.2045i 0.396805 + 1.18858i 0.937688 + 0.347479i \(0.112962\pi\)
−0.540882 + 0.841098i \(0.681910\pi\)
\(350\) 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 0.847752 + 0.530393i \(0.177956\pi\)
−0.751692 + 0.659514i \(0.770762\pi\)
\(354\) 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 0.781871 0.623440i \(-0.214266\pi\)
−0.305672 + 0.952137i \(0.598881\pi\)
\(360\) −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 0.499942 + 0.866059i \(0.333355\pi\)
−0.120470 + 0.992717i \(0.538440\pi\)
\(368\) −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 0.630828 + 0.775923i \(0.282716\pi\)
−0.884484 + 0.466570i \(0.845490\pi\)
\(374\) 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 −0.931685 0.363267i \(-0.881661\pi\)
0.998772 0.0495374i \(-0.0157747\pi\)
\(380\) −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 −0.996431 0.0844149i \(-0.973098\pi\)
0.997068 + 0.0765169i \(0.0243799\pi\)
\(384\) −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 −0.480571 0.876956i \(-0.659571\pi\)
0.990381 + 0.138369i \(0.0441860\pi\)
\(390\) 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 −0.601893 0.798577i \(-0.705587\pi\)
0.773693 + 0.633560i \(0.218407\pi\)
\(398\) −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 −0.983301 0.181988i \(-0.941747\pi\)
−0.221434 0.975175i \(-0.571074\pi\)
\(402\) −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 0.599392 0.800456i \(-0.295409\pi\)
−0.664385 + 0.747390i \(0.731307\pi\)
\(410\) 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 0.919202 0.393786i \(-0.128835\pi\)
−0.122500 + 0.992468i \(0.539091\pi\)
\(420\) 0.230089 + 5.70961i 0.0112272 + 0.278600i
\(421\) −13.5343 5.13287i −0.659620 0.250161i 0.00200260 0.999998i \(-0.499363\pi\)
−0.661622 + 0.749837i \(0.730132\pi\)
\(422\) 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 0.181510 0.983389i \(-0.441902\pi\)
0.894064 0.447939i \(-0.147842\pi\)
\(432\) −4.51104 + 1.50601i −0.217038 + 0.0724578i
\(433\) 10.5692 + 11.0037i 0.507923 + 0.528804i 0.924949 0.380091i \(-0.124107\pi\)
−0.417026 + 0.908894i \(0.636928\pi\)
\(434\) 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 −0.926230 0.376958i \(-0.876970\pi\)
0.953559 0.301205i \(-0.0973888\pi\)
\(440\) 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 −0.944053 0.329795i \(-0.893020\pi\)
0.925328 + 0.379167i \(0.123790\pi\)
\(444\) −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 0.993669 0.112348i \(-0.0358370\pi\)
−0.769364 + 0.638811i \(0.779427\pi\)
\(450\) −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 −0.422605 0.906314i \(-0.638884\pi\)
0.803466 + 0.595351i \(0.202987\pi\)
\(458\) 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 −0.908844 0.417136i \(-0.863034\pi\)
0.977160 + 0.212505i \(0.0681622\pi\)
\(462\) 3.54746 43.9431i 0.165043 2.04442i
\(463\) 15.4952 + 17.4904i 0.720122 + 0.812850i 0.988621 0.150430i \(-0.0480659\pi\)
−0.268499 + 0.963280i \(0.586527\pi\)
\(464\) −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 0.997456 0.0712796i \(-0.0227083\pi\)
0.0494702 + 0.998776i \(0.484247\pi\)
\(468\) −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 −0.774186 0.632959i \(-0.781840\pi\)
−0.822607 + 0.568610i \(0.807481\pi\)
\(480\) 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 0.325807 0.945436i \(-0.394364\pi\)
−0.998754 + 0.0499070i \(0.984108\pi\)
\(488\) −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 −0.920006 0.391905i \(-0.871816\pi\)
0.428632 + 0.903479i \(0.358996\pi\)
\(492\) −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 0.339164 0.940727i \(-0.389856\pi\)
0.999864 + 0.0164627i \(0.00524048\pi\)
\(500\) 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 0.0479170 0.998851i \(-0.484742\pi\)
0.753567 + 0.657371i \(0.228331\pi\)
\(504\) 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 0.319084 0.947727i \(-0.396625\pi\)
0.665028 + 0.746819i \(0.268420\pi\)
\(510\) −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 −0.259216 0.965819i \(-0.583464\pi\)
−0.678363 + 0.734727i \(0.737310\pi\)
\(522\) 0.973715 + 12.0616i 0.0426184 + 0.527923i
\(523\) 10.8796 11.3268i 0.475730 0.495287i −0.439487 0.898249i \(-0.644840\pi\)
0.915217 + 0.402962i \(0.132019\pi\)
\(524\) 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 −0.985093 0.172025i \(-0.944969\pi\)
0.952200 + 0.305474i \(0.0988150\pi\)
\(542\) −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 0.982228 0.187691i \(-0.0601002\pi\)
−0.0679276 + 0.997690i \(0.521639\pi\)
\(548\) −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 −0.434527 0.900659i \(-0.643084\pi\)
0.795541 + 0.605900i \(0.207187\pi\)
\(558\) −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 0.111117 0.993807i \(-0.464557\pi\)
0.420106 + 0.907475i \(0.361993\pi\)
\(564\) 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 0.735217 + 0.677832i \(0.237080\pi\)
−0.983676 + 0.179948i \(0.942407\pi\)
\(570\) −1.54870 1.48755i −0.0648680 0.0623066i
\(571\) 14.9495 39.4186i 0.625617 1.64962i −0.127584 0.991828i \(-0.540722\pi\)
0.753202 0.657790i \(-0.228508\pi\)
\(572\) 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 \(-0.962314\pi\)
0.993000 0.118118i \(-0.0376863\pi\)
\(578\) −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 0.668564 0.743654i \(-0.266909\pi\)
−0.309741 + 0.950821i \(0.600242\pi\)
\(588\) −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 0.671957 0.740590i \(-0.265454\pi\)
0.0118650 + 0.999930i \(0.496223\pi\)
\(594\) 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 0.613131 + 0.789981i \(0.289910\pi\)
−0.784370 + 0.620294i \(0.787013\pi\)
\(600\) 15.4760 20.5948i 0.631805 0.840780i
\(601\) −7.48534 + 2.49897i −0.305333 + 0.101935i −0.465206 0.885202i \(-0.654020\pi\)
0.159873 + 0.987138i \(0.448892\pi\)
\(602\) 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 −0.994996 0.0999174i \(-0.968142\pi\)
0.296923 + 0.954901i \(0.404040\pi\)
\(608\) 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 0.844472 0.535600i \(-0.179914\pi\)
−0.501162 + 0.865353i \(0.667094\pi\)
\(614\) 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 0.255865 0.966712i \(-0.417640\pi\)
0.976231 0.216732i \(-0.0695398\pi\)
\(618\) 2.93144 + 6.88034i 0.117920 + 0.276768i
\(619\) 25.9781 9.85218i 1.04415 0.395993i 0.227893 0.973686i \(-0.426816\pi\)
0.816254 + 0.577694i \(0.196047\pi\)
\(620\) 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 0.819531 + 0.573034i \(0.194234\pi\)
−0.900840 + 0.434152i \(0.857048\pi\)
\(632\) 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 −0.973088 0.230434i \(-0.925985\pi\)
0.985543 + 0.169423i \(0.0541905\pi\)
\(642\) −8.40795 + 34.1124i −0.331835 + 1.34631i
\(643\) −3.75382 23.0982i −0.148036 0.910904i −0.949707 0.313139i \(-0.898620\pi\)
0.801671 0.597765i \(-0.203945\pi\)
\(644\) −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 0.879828 + 0.475293i \(0.157658\pi\)
−0.623124 + 0.782123i \(0.714137\pi\)
\(648\) −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 −0.969335 0.245744i \(-0.920968\pi\)
0.697488 + 0.716596i \(0.254301\pi\)
\(654\) −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 −0.532402 0.846492i \(-0.678710\pi\)
0.992412 0.122959i \(-0.0392384\pi\)
\(660\) 3.57261 3.71949i 0.139064 0.144781i
\(661\) −0.648386 8.03171i −0.0252193 0.312397i −0.997052 0.0767262i \(-0.975553\pi\)
0.971833 0.235671i \(-0.0757288\pi\)
\(662\) −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 −0.647287 0.762247i \(-0.724096\pi\)
−0.855354 + 0.518044i \(0.826660\pi\)
\(674\) 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 0.543716 0.839269i \(-0.317017\pi\)
−0.306232 + 0.951957i \(0.599068\pi\)
\(684\) −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 −0.880935 0.473237i \(-0.843086\pi\)
0.793615 0.608420i \(-0.208196\pi\)
\(692\) −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 −0.713231 0.700929i \(-0.752769\pi\)
0.171691 + 0.985151i \(0.445077\pi\)
\(702\) −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 0.973877 + 0.227075i \(0.0729161\pi\)
−0.851851 + 0.523784i \(0.824520\pi\)
\(710\) 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 0.225877 0.974156i \(-0.427475\pi\)
−0.783270 + 0.621682i \(0.786450\pi\)
\(720\) 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 −0.0122049 + 0.999926i \(0.503885\pi\)
−0.930619 + 0.365990i \(0.880730\pi\)
\(728\) −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 −0.897668 0.440672i \(-0.854740\pi\)
−0.379695 + 0.925112i \(0.623971\pi\)
\(734\) −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 0.990226 0.139472i \(-0.0445404\pi\)
−0.0994861 + 0.995039i \(0.531720\pi\)
\(740\) −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 −0.472604 0.881275i \(-0.656686\pi\)
0.962962 0.269637i \(-0.0869037\pi\)
\(744\) 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 −0.548072 0.836431i \(-0.684638\pi\)
0.0643272 + 0.997929i \(0.479510\pi\)
\(752\) −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 0.925520 0.378700i \(-0.123629\pi\)
−0.106252 + 0.994339i \(0.533885\pi\)
\(758\) 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 0.519032 0.854755i \(-0.326293\pi\)
0.142463 + 0.989800i \(0.454498\pi\)
\(762\) −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 0.177672 + 0.984090i \(0.443143\pi\)
−0.994667 + 0.103134i \(0.967113\pi\)
\(770\) −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