Properties

Label 731.2.k.a.35.17
Level 731
Weight 2
Character 731.35
Analytic conductor 5.837
Analytic rank 0
Dimension 180
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) = \( 731 = 17 \cdot 43 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 731.k (of order \(7\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.83706438776\)
Analytic rank: \(0\)
Dimension: \(180\)
Relative dimension: \(30\) over \(\Q(\zeta_{7})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label 35.17
Character \(\chi\) = 731.35
Dual form 731.2.k.a.188.17

$q$-expansion

\(f(q)\) \(=\) \(q+(0.0448375 - 0.196446i) q^{2} +(0.586118 + 2.56795i) q^{3} +(1.76536 + 0.850151i) q^{4} +(2.40408 - 3.01462i) q^{5} +0.530744 q^{6} +0.970344 q^{7} +(0.497427 - 0.623754i) q^{8} +(-3.54794 + 1.70860i) q^{9} +O(q^{10})\) \(q+(0.0448375 - 0.196446i) q^{2} +(0.586118 + 2.56795i) q^{3} +(1.76536 + 0.850151i) q^{4} +(2.40408 - 3.01462i) q^{5} +0.530744 q^{6} +0.970344 q^{7} +(0.497427 - 0.623754i) q^{8} +(-3.54794 + 1.70860i) q^{9} +(-0.484418 - 0.607441i) q^{10} +(-3.37126 + 1.62351i) q^{11} +(-1.14844 + 5.03164i) q^{12} +(-0.449319 + 0.563429i) q^{13} +(0.0435078 - 0.190620i) q^{14} +(9.15049 + 4.40664i) q^{15} +(2.34310 + 2.93815i) q^{16} +(0.623490 + 0.781831i) q^{17} +(0.176566 + 0.773588i) q^{18} +(-1.04131 - 0.501466i) q^{19} +(6.80695 - 3.27805i) q^{20} +(0.568736 + 2.49180i) q^{21} +(0.167774 + 0.735064i) q^{22} +(3.59841 - 1.73290i) q^{23} +(1.89332 + 0.911775i) q^{24} +(-2.19574 - 9.62016i) q^{25} +(0.0905370 + 0.113530i) q^{26} +(-1.54031 - 1.93148i) q^{27} +(1.71300 + 0.824939i) q^{28} +(-0.196103 + 0.859184i) q^{29} +(1.27595 - 1.59999i) q^{30} +(-1.06213 + 4.65350i) q^{31} +(2.11985 - 1.02087i) q^{32} +(-6.14505 - 7.70565i) q^{33} +(0.181543 - 0.0874267i) q^{34} +(2.33279 - 2.92522i) q^{35} -7.71594 q^{36} -5.07411 q^{37} +(-0.145201 + 0.182076i) q^{38} +(-1.71021 - 0.823595i) q^{39} +(-0.684527 - 2.99911i) q^{40} +(1.72092 - 7.53985i) q^{41} +0.515004 q^{42} +(3.87659 - 5.28886i) q^{43} -7.33170 q^{44} +(-3.37876 + 14.8033i) q^{45} +(-0.179078 - 0.784593i) q^{46} +(4.11148 + 1.97999i) q^{47} +(-6.17171 + 7.73907i) q^{48} -6.05843 q^{49} -1.98829 q^{50} +(-1.64227 + 2.05934i) q^{51} +(-1.27221 + 0.612663i) q^{52} +(2.50728 + 3.14403i) q^{53} +(-0.448496 + 0.215984i) q^{54} +(-3.21050 + 14.0661i) q^{55} +(0.482675 - 0.605256i) q^{56} +(0.677413 - 2.96794i) q^{57} +(0.159990 + 0.0770474i) q^{58} +(-3.94932 - 4.95230i) q^{59} +(12.4076 + 15.5586i) q^{60} +(-0.944133 - 4.13651i) q^{61} +(0.866538 + 0.417303i) q^{62} +(-3.44272 + 1.65793i) q^{63} +(1.56699 + 6.86543i) q^{64} +(0.618325 + 2.70906i) q^{65} +(-1.78927 + 0.861669i) q^{66} +(-5.08415 - 2.44840i) q^{67} +(0.436007 + 1.91027i) q^{68} +(6.55911 + 8.22486i) q^{69} +(-0.470052 - 0.589426i) q^{70} +(9.41628 + 4.53464i) q^{71} +(-0.699097 + 3.06294i) q^{72} +(-1.37076 + 1.71888i) q^{73} +(-0.227511 + 0.996789i) q^{74} +(23.4172 - 11.2771i) q^{75} +(-1.41195 - 1.77053i) q^{76} +(-3.27128 + 1.57536i) q^{77} +(-0.238474 + 0.299036i) q^{78} -12.3805 q^{79} +14.4904 q^{80} +(-3.30859 + 4.14884i) q^{81} +(-1.40401 - 0.676137i) q^{82} +(-0.397879 - 1.74322i) q^{83} +(-1.11438 + 4.88242i) q^{84} +3.85585 q^{85} +(-0.865158 - 0.998681i) q^{86} -2.32128 q^{87} +(-0.664282 + 2.91041i) q^{88} +(-2.67095 - 11.7022i) q^{89} +(2.75656 + 1.32749i) q^{90} +(-0.435994 + 0.546719i) q^{91} +7.82571 q^{92} -12.5725 q^{93} +(0.573309 - 0.718907i) q^{94} +(-4.01511 + 1.93358i) q^{95} +(3.86402 + 4.84533i) q^{96} +(-16.3592 + 7.87816i) q^{97} +(-0.271645 + 1.19016i) q^{98} +(9.18708 - 11.5202i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 180q - 4q^{2} - 6q^{3} - 34q^{4} - 6q^{5} - 14q^{6} + 66q^{7} + 2q^{8} - 26q^{9} + O(q^{10}) \) \( 180q - 4q^{2} - 6q^{3} - 34q^{4} - 6q^{5} - 14q^{6} + 66q^{7} + 2q^{8} - 26q^{9} - 8q^{10} - 12q^{11} - 24q^{12} - 5q^{13} - 8q^{14} - q^{15} - 58q^{16} - 30q^{17} + 36q^{18} - 24q^{19} - 36q^{20} - 28q^{21} + 5q^{22} + 27q^{23} - 46q^{24} - 38q^{25} + 6q^{26} - 36q^{27} - 54q^{28} + 28q^{29} - 21q^{30} + 36q^{31} + 11q^{32} + 5q^{33} - 4q^{34} + 6q^{35} + 192q^{36} + 164q^{37} + 32q^{38} - 34q^{39} + 2q^{40} + 42q^{41} - 2q^{42} - 22q^{43} + 14q^{44} + 58q^{45} - 53q^{46} + 21q^{47} - 20q^{48} + 166q^{49} + 18q^{50} - 6q^{51} + 54q^{52} + 8q^{53} - 154q^{54} - 5q^{55} - 35q^{56} + 8q^{57} + 9q^{58} - 13q^{59} - 88q^{60} - 34q^{61} - 36q^{62} - 31q^{63} - 18q^{64} + 9q^{65} + 222q^{66} - 48q^{67} - 27q^{68} + 2q^{69} - 64q^{70} - 42q^{71} + 77q^{72} - 44q^{73} - 35q^{74} - 21q^{75} + 44q^{76} - 32q^{77} + 124q^{78} - 96q^{79} + 490q^{80} - 12q^{81} - 130q^{82} - 8q^{83} + 170q^{84} + 22q^{85} - 12q^{86} - 90q^{87} - 122q^{88} - 81q^{89} + 49q^{90} - 27q^{91} - 116q^{92} + 18q^{93} - 124q^{94} + 117q^{95} + 52q^{96} - 79q^{97} - 54q^{98} - 39q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).

\(n\) \(173\) \(562\)
\(\chi(n)\) \(1\) \(e\left(\frac{3}{7}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.0448375 0.196446i 0.0317049 0.138908i −0.956598 0.291410i \(-0.905876\pi\)
0.988303 + 0.152501i \(0.0487329\pi\)
\(3\) 0.586118 + 2.56795i 0.338396 + 1.48261i 0.802406 + 0.596778i \(0.203553\pi\)
−0.464010 + 0.885830i \(0.653590\pi\)
\(4\) 1.76536 + 0.850151i 0.882679 + 0.425076i
\(5\) 2.40408 3.01462i 1.07514 1.34818i 0.141510 0.989937i \(-0.454804\pi\)
0.933628 0.358244i \(-0.116624\pi\)
\(6\) 0.530744 0.216675
\(7\) 0.970344 0.366755 0.183378 0.983043i \(-0.441297\pi\)
0.183378 + 0.983043i \(0.441297\pi\)
\(8\) 0.497427 0.623754i 0.175867 0.220530i
\(9\) −3.54794 + 1.70860i −1.18265 + 0.569532i
\(10\) −0.484418 0.607441i −0.153186 0.192090i
\(11\) −3.37126 + 1.62351i −1.01647 + 0.489507i −0.866497 0.499183i \(-0.833634\pi\)
−0.149975 + 0.988690i \(0.547919\pi\)
\(12\) −1.14844 + 5.03164i −0.331526 + 1.45251i
\(13\) −0.449319 + 0.563429i −0.124619 + 0.156267i −0.840227 0.542235i \(-0.817578\pi\)
0.715608 + 0.698502i \(0.246150\pi\)
\(14\) 0.0435078 0.190620i 0.0116280 0.0509454i
\(15\) 9.15049 + 4.40664i 2.36265 + 1.13779i
\(16\) 2.34310 + 2.93815i 0.585775 + 0.734538i
\(17\) 0.623490 + 0.781831i 0.151218 + 0.189622i
\(18\) 0.176566 + 0.773588i 0.0416171 + 0.182336i
\(19\) −1.04131 0.501466i −0.238892 0.115044i 0.310608 0.950538i \(-0.399467\pi\)
−0.549500 + 0.835494i \(0.685182\pi\)
\(20\) 6.80695 3.27805i 1.52208 0.732995i
\(21\) 0.568736 + 2.49180i 0.124108 + 0.543755i
\(22\) 0.167774 + 0.735064i 0.0357694 + 0.156716i
\(23\) 3.59841 1.73290i 0.750321 0.361335i −0.0193195 0.999813i \(-0.506150\pi\)
0.769640 + 0.638478i \(0.220436\pi\)
\(24\) 1.89332 + 0.911775i 0.386473 + 0.186115i
\(25\) −2.19574 9.62016i −0.439148 1.92403i
\(26\) 0.0905370 + 0.113530i 0.0177558 + 0.0222650i
\(27\) −1.54031 1.93148i −0.296432 0.371714i
\(28\) 1.71300 + 0.824939i 0.323727 + 0.155899i
\(29\) −0.196103 + 0.859184i −0.0364154 + 0.159546i −0.989866 0.142002i \(-0.954646\pi\)
0.953451 + 0.301548i \(0.0975033\pi\)
\(30\) 1.27595 1.59999i 0.232956 0.292118i
\(31\) −1.06213 + 4.65350i −0.190764 + 0.835793i 0.785440 + 0.618938i \(0.212437\pi\)
−0.976204 + 0.216855i \(0.930420\pi\)
\(32\) 2.11985 1.02087i 0.374741 0.180466i
\(33\) −6.14505 7.70565i −1.06972 1.34138i
\(34\) 0.181543 0.0874267i 0.0311344 0.0149936i
\(35\) 2.33279 2.92522i 0.394313 0.494453i
\(36\) −7.71594 −1.28599
\(37\) −5.07411 −0.834179 −0.417089 0.908865i \(-0.636950\pi\)
−0.417089 + 0.908865i \(0.636950\pi\)
\(38\) −0.145201 + 0.182076i −0.0235546 + 0.0295366i
\(39\) −1.71021 0.823595i −0.273853 0.131881i
\(40\) −0.684527 2.99911i −0.108233 0.474201i
\(41\) 1.72092 7.53985i 0.268763 1.17753i −0.642691 0.766125i \(-0.722182\pi\)
0.911454 0.411402i \(-0.134961\pi\)
\(42\) 0.515004 0.0794669
\(43\) 3.87659 5.28886i 0.591175 0.806543i
\(44\) −7.33170 −1.10530
\(45\) −3.37876 + 14.8033i −0.503676 + 2.20675i
\(46\) −0.179078 0.784593i −0.0264036 0.115682i
\(47\) 4.11148 + 1.97999i 0.599722 + 0.288811i 0.709009 0.705199i \(-0.249143\pi\)
−0.109287 + 0.994010i \(0.534857\pi\)
\(48\) −6.17171 + 7.73907i −0.890809 + 1.11704i
\(49\) −6.05843 −0.865490
\(50\) −1.98829 −0.281187
\(51\) −1.64227 + 2.05934i −0.229963 + 0.288365i
\(52\) −1.27221 + 0.612663i −0.176424 + 0.0849611i
\(53\) 2.50728 + 3.14403i 0.344401 + 0.431865i 0.923622 0.383306i \(-0.125214\pi\)
−0.579220 + 0.815171i \(0.696643\pi\)
\(54\) −0.448496 + 0.215984i −0.0610326 + 0.0293917i
\(55\) −3.21050 + 14.0661i −0.432904 + 1.89668i
\(56\) 0.482675 0.605256i 0.0645002 0.0808807i
\(57\) 0.677413 2.96794i 0.0897256 0.393113i
\(58\) 0.159990 + 0.0770474i 0.0210078 + 0.0101168i
\(59\) −3.94932 4.95230i −0.514158 0.644734i 0.455199 0.890390i \(-0.349568\pi\)
−0.969357 + 0.245656i \(0.920997\pi\)
\(60\) 12.4076 + 15.5586i 1.60181 + 2.00861i
\(61\) −0.944133 4.13651i −0.120884 0.529626i −0.998716 0.0506583i \(-0.983868\pi\)
0.877832 0.478968i \(-0.158989\pi\)
\(62\) 0.866538 + 0.417303i 0.110050 + 0.0529975i
\(63\) −3.44272 + 1.65793i −0.433742 + 0.208879i
\(64\) 1.56699 + 6.86543i 0.195874 + 0.858178i
\(65\) 0.618325 + 2.70906i 0.0766937 + 0.336017i
\(66\) −1.78927 + 0.861669i −0.220244 + 0.106064i
\(67\) −5.08415 2.44840i −0.621128 0.299119i 0.0967284 0.995311i \(-0.469162\pi\)
−0.717856 + 0.696191i \(0.754876\pi\)
\(68\) 0.436007 + 1.91027i 0.0528736 + 0.231655i
\(69\) 6.55911 + 8.22486i 0.789624 + 0.990157i
\(70\) −0.470052 0.589426i −0.0561819 0.0704499i
\(71\) 9.41628 + 4.53464i 1.11751 + 0.538163i 0.899121 0.437700i \(-0.144207\pi\)
0.218386 + 0.975863i \(0.429921\pi\)
\(72\) −0.699097 + 3.06294i −0.0823893 + 0.360971i
\(73\) −1.37076 + 1.71888i −0.160435 + 0.201180i −0.855551 0.517718i \(-0.826782\pi\)
0.695116 + 0.718898i \(0.255353\pi\)
\(74\) −0.227511 + 0.996789i −0.0264476 + 0.115874i
\(75\) 23.4172 11.2771i 2.70398 1.30217i
\(76\) −1.41195 1.77053i −0.161962 0.203094i
\(77\) −3.27128 + 1.57536i −0.372797 + 0.179529i
\(78\) −0.238474 + 0.299036i −0.0270018 + 0.0338592i
\(79\) −12.3805 −1.39292 −0.696460 0.717596i \(-0.745242\pi\)
−0.696460 + 0.717596i \(0.745242\pi\)
\(80\) 14.4904 1.62008
\(81\) −3.30859 + 4.14884i −0.367621 + 0.460983i
\(82\) −1.40401 0.676137i −0.155047 0.0746668i
\(83\) −0.397879 1.74322i −0.0436729 0.191343i 0.948386 0.317119i \(-0.102715\pi\)
−0.992059 + 0.125775i \(0.959858\pi\)
\(84\) −1.11438 + 4.88242i −0.121589 + 0.532716i
\(85\) 3.85585 0.418225
\(86\) −0.865158 0.998681i −0.0932924 0.107691i
\(87\) −2.32128 −0.248868
\(88\) −0.664282 + 2.91041i −0.0708127 + 0.310251i
\(89\) −2.67095 11.7022i −0.283120 1.24043i −0.893769 0.448528i \(-0.851948\pi\)
0.610649 0.791901i \(-0.290909\pi\)
\(90\) 2.75656 + 1.32749i 0.290567 + 0.139929i
\(91\) −0.435994 + 0.546719i −0.0457046 + 0.0573118i
\(92\) 7.82571 0.815887
\(93\) −12.5725 −1.30371
\(94\) 0.573309 0.718907i 0.0591323 0.0741496i
\(95\) −4.01511 + 1.93358i −0.411942 + 0.198381i
\(96\) 3.86402 + 4.84533i 0.394370 + 0.494525i
\(97\) −16.3592 + 7.87816i −1.66102 + 0.799906i −0.662307 + 0.749233i \(0.730423\pi\)
−0.998715 + 0.0506736i \(0.983863\pi\)
\(98\) −0.271645 + 1.19016i −0.0274403 + 0.120224i
\(99\) 9.18708 11.5202i 0.923336 1.15783i
\(100\) 4.30233 18.8497i 0.430233 1.88497i
\(101\) −8.20323 3.95047i −0.816252 0.393086i −0.0213111 0.999773i \(-0.506784\pi\)
−0.794941 + 0.606687i \(0.792498\pi\)
\(102\) 0.330914 + 0.414953i 0.0327653 + 0.0410864i
\(103\) −4.80454 6.02470i −0.473405 0.593631i 0.486596 0.873627i \(-0.338238\pi\)
−0.960001 + 0.279996i \(0.909667\pi\)
\(104\) 0.127937 + 0.560529i 0.0125453 + 0.0549644i
\(105\) 8.87912 + 4.27596i 0.866513 + 0.417291i
\(106\) 0.730052 0.351574i 0.0709089 0.0341479i
\(107\) −0.846265 3.70773i −0.0818115 0.358440i 0.917408 0.397949i \(-0.130278\pi\)
−0.999219 + 0.0395089i \(0.987421\pi\)
\(108\) −1.07714 4.71925i −0.103648 0.454110i
\(109\) 10.2328 4.92784i 0.980121 0.472001i 0.125974 0.992034i \(-0.459794\pi\)
0.854147 + 0.520032i \(0.174080\pi\)
\(110\) 2.61928 + 1.26138i 0.249739 + 0.120268i
\(111\) −2.97403 13.0301i −0.282282 1.23676i
\(112\) 2.27361 + 2.85102i 0.214836 + 0.269396i
\(113\) −11.4127 14.3111i −1.07362 1.34627i −0.934486 0.355999i \(-0.884141\pi\)
−0.139130 0.990274i \(-0.544431\pi\)
\(114\) −0.552667 0.266150i −0.0517620 0.0249273i
\(115\) 3.42682 15.0139i 0.319553 1.40005i
\(116\) −1.07663 + 1.35005i −0.0999624 + 0.125349i
\(117\) 0.631485 2.76672i 0.0583808 0.255783i
\(118\) −1.14994 + 0.553780i −0.105860 + 0.0509796i
\(119\) 0.604999 + 0.758645i 0.0554602 + 0.0695449i
\(120\) 7.30036 3.51567i 0.666429 0.320935i
\(121\) 1.87119 2.34639i 0.170108 0.213309i
\(122\) −0.854935 −0.0774021
\(123\) 20.3706 1.83676
\(124\) −5.83122 + 7.31212i −0.523659 + 0.656647i
\(125\) −16.9099 8.14339i −1.51247 0.728367i
\(126\) 0.171330 + 0.750646i 0.0152633 + 0.0668729i
\(127\) −1.52579 + 6.68491i −0.135392 + 0.593190i 0.861021 + 0.508569i \(0.169825\pi\)
−0.996413 + 0.0846213i \(0.973032\pi\)
\(128\) 6.12466 0.541349
\(129\) 15.8537 + 6.85501i 1.39584 + 0.603550i
\(130\) 0.559908 0.0491072
\(131\) 1.56994 6.87835i 0.137166 0.600964i −0.858884 0.512170i \(-0.828842\pi\)
0.996050 0.0887938i \(-0.0283012\pi\)
\(132\) −4.29724 18.8275i −0.374027 1.63872i
\(133\) −1.01042 0.486595i −0.0876149 0.0421931i
\(134\) −0.708939 + 0.888981i −0.0612430 + 0.0767963i
\(135\) −9.52572 −0.819843
\(136\) 0.797811 0.0684117
\(137\) −8.64014 + 10.8344i −0.738177 + 0.925644i −0.999212 0.0396849i \(-0.987365\pi\)
0.261036 + 0.965329i \(0.415936\pi\)
\(138\) 1.90984 0.919728i 0.162576 0.0782925i
\(139\) 11.8260 + 14.8293i 1.00306 + 1.25780i 0.966014 + 0.258490i \(0.0832249\pi\)
0.0370507 + 0.999313i \(0.488204\pi\)
\(140\) 6.60508 3.18084i 0.558231 0.268830i
\(141\) −2.67469 + 11.7186i −0.225250 + 0.986885i
\(142\) 1.31302 1.64647i 0.110186 0.138169i
\(143\) 0.600038 2.62894i 0.0501777 0.219843i
\(144\) −13.3333 6.42098i −1.11111 0.535081i
\(145\) 2.11867 + 2.65673i 0.175946 + 0.220629i
\(146\) 0.276206 + 0.346351i 0.0228589 + 0.0286642i
\(147\) −3.55096 15.5578i −0.292878 1.28318i
\(148\) −8.95762 4.31376i −0.736312 0.354589i
\(149\) 16.8437 8.11150i 1.37989 0.664520i 0.410914 0.911674i \(-0.365210\pi\)
0.968976 + 0.247154i \(0.0794955\pi\)
\(150\) −1.16538 5.10585i −0.0951526 0.416891i
\(151\) −3.06747 13.4394i −0.249627 1.09369i −0.931936 0.362623i \(-0.881881\pi\)
0.682309 0.731064i \(-0.260976\pi\)
\(152\) −0.830765 + 0.400075i −0.0673839 + 0.0324504i
\(153\) −3.54794 1.70860i −0.286834 0.138132i
\(154\) 0.162798 + 0.713265i 0.0131186 + 0.0574765i
\(155\) 11.4751 + 14.3893i 0.921702 + 1.15578i
\(156\) −2.31896 2.90788i −0.185665 0.232817i
\(157\) 4.61704 + 2.22345i 0.368480 + 0.177451i 0.608955 0.793205i \(-0.291589\pi\)
−0.240475 + 0.970655i \(0.577303\pi\)
\(158\) −0.555113 + 2.43211i −0.0441624 + 0.193488i
\(159\) −6.60415 + 8.28134i −0.523743 + 0.656753i
\(160\) 2.01877 8.84481i 0.159598 0.699243i
\(161\) 3.49170 1.68151i 0.275184 0.132522i
\(162\) 0.666675 + 0.835984i 0.0523789 + 0.0656811i
\(163\) 3.09444 1.49021i 0.242376 0.116722i −0.308753 0.951142i \(-0.599912\pi\)
0.551129 + 0.834420i \(0.314197\pi\)
\(164\) 9.44806 11.8475i 0.737769 0.925133i
\(165\) −38.0029 −2.95852
\(166\) −0.360289 −0.0279638
\(167\) −3.41572 + 4.28318i −0.264317 + 0.331443i −0.896224 0.443601i \(-0.853701\pi\)
0.631908 + 0.775044i \(0.282272\pi\)
\(168\) 1.83717 + 0.884736i 0.141741 + 0.0682588i
\(169\) 2.77721 + 12.1677i 0.213631 + 0.935980i
\(170\) 0.172887 0.757466i 0.0132598 0.0580950i
\(171\) 4.55129 0.348046
\(172\) 11.3399 6.04103i 0.864659 0.460624i
\(173\) 0.646309 0.0491380 0.0245690 0.999698i \(-0.492179\pi\)
0.0245690 + 0.999698i \(0.492179\pi\)
\(174\) −0.104081 + 0.456007i −0.00789033 + 0.0345698i
\(175\) −2.13062 9.33487i −0.161060 0.705650i
\(176\) −12.6693 6.10122i −0.954985 0.459897i
\(177\) 10.4025 13.0443i 0.781899 0.980470i
\(178\) −2.41861 −0.181282
\(179\) 18.4959 1.38245 0.691226 0.722639i \(-0.257071\pi\)
0.691226 + 0.722639i \(0.257071\pi\)
\(180\) −18.5498 + 23.2607i −1.38262 + 1.73375i
\(181\) −16.6617 + 8.02383i −1.23845 + 0.596407i −0.934392 0.356246i \(-0.884056\pi\)
−0.304059 + 0.952653i \(0.598342\pi\)
\(182\) 0.0878520 + 0.110163i 0.00651202 + 0.00816582i
\(183\) 10.0690 4.84898i 0.744322 0.358447i
\(184\) 0.709042 3.10652i 0.0522713 0.229015i
\(185\) −12.1986 + 15.2965i −0.896857 + 1.12462i
\(186\) −0.563720 + 2.46982i −0.0413339 + 0.181096i
\(187\) −3.37126 1.62351i −0.246531 0.118723i
\(188\) 5.57495 + 6.99077i 0.406595 + 0.509854i
\(189\) −1.49463 1.87420i −0.108718 0.136328i
\(190\) 0.199816 + 0.875450i 0.0144962 + 0.0635118i
\(191\) −4.55088 2.19159i −0.329290 0.158578i 0.261932 0.965086i \(-0.415640\pi\)
−0.591223 + 0.806508i \(0.701355\pi\)
\(192\) −16.7116 + 8.04790i −1.20606 + 0.580808i
\(193\) −5.42279 23.7588i −0.390341 1.71019i −0.663458 0.748213i \(-0.730912\pi\)
0.273117 0.961981i \(-0.411945\pi\)
\(194\) 0.814129 + 3.56693i 0.0584511 + 0.256091i
\(195\) −6.59432 + 3.17566i −0.472229 + 0.227413i
\(196\) −10.6953 5.15058i −0.763950 0.367899i
\(197\) −3.21271 14.0758i −0.228896 1.00286i −0.950542 0.310596i \(-0.899471\pi\)
0.721646 0.692262i \(-0.243386\pi\)
\(198\) −1.85118 2.32130i −0.131558 0.164968i
\(199\) 6.63942 + 8.32557i 0.470656 + 0.590184i 0.959332 0.282282i \(-0.0910913\pi\)
−0.488676 + 0.872466i \(0.662520\pi\)
\(200\) −7.09283 3.41573i −0.501539 0.241528i
\(201\) 3.30746 14.4909i 0.233290 1.02211i
\(202\) −1.14387 + 1.43436i −0.0804822 + 0.100921i
\(203\) −0.190287 + 0.833704i −0.0133556 + 0.0585145i
\(204\) −4.64994 + 2.23929i −0.325561 + 0.156782i
\(205\) −18.5926 23.3144i −1.29856 1.62835i
\(206\) −1.39895 + 0.673700i −0.0974696 + 0.0469389i
\(207\) −9.80611 + 12.2965i −0.681572 + 0.854664i
\(208\) −2.70824 −0.187783
\(209\) 4.32464 0.299142
\(210\) 1.23811 1.55254i 0.0854379 0.107136i
\(211\) −4.18140 2.01366i −0.287860 0.138626i 0.284382 0.958711i \(-0.408212\pi\)
−0.572241 + 0.820085i \(0.693926\pi\)
\(212\) 1.75334 + 7.68190i 0.120420 + 0.527595i
\(213\) −6.12569 + 26.8384i −0.419725 + 1.83894i
\(214\) −0.766313 −0.0523841
\(215\) −6.62427 24.4013i −0.451771 1.66416i
\(216\) −1.97096 −0.134107
\(217\) −1.03063 + 4.51549i −0.0699639 + 0.306532i
\(218\) −0.509242 2.23114i −0.0344903 0.151112i
\(219\) −5.21743 2.51258i −0.352561 0.169785i
\(220\) −17.6260 + 22.1023i −1.18835 + 1.49014i
\(221\) −0.720652 −0.0484763
\(222\) −2.69306 −0.180746
\(223\) 7.89237 9.89672i 0.528512 0.662733i −0.443880 0.896086i \(-0.646398\pi\)
0.972392 + 0.233353i \(0.0749697\pi\)
\(224\) 2.05699 0.990592i 0.137438 0.0661867i
\(225\) 24.2273 + 30.3801i 1.61516 + 2.02534i
\(226\) −3.32307 + 1.60031i −0.221047 + 0.106451i
\(227\) −5.58989 + 24.4909i −0.371014 + 1.62552i 0.352923 + 0.935652i \(0.385188\pi\)
−0.723937 + 0.689866i \(0.757669\pi\)
\(228\) 3.71907 4.66357i 0.246302 0.308853i
\(229\) −1.53844 + 6.74036i −0.101663 + 0.445416i 0.898318 + 0.439345i \(0.144789\pi\)
−0.999982 + 0.00607057i \(0.998068\pi\)
\(230\) −2.79577 1.34637i −0.184348 0.0887771i
\(231\) −5.96282 7.47713i −0.392324 0.491959i
\(232\) 0.438372 + 0.549701i 0.0287805 + 0.0360897i
\(233\) 4.86163 + 21.3002i 0.318496 + 1.39542i 0.840191 + 0.542290i \(0.182443\pi\)
−0.521695 + 0.853132i \(0.674700\pi\)
\(234\) −0.515196 0.248105i −0.0336794 0.0162192i
\(235\) 15.8533 7.63453i 1.03415 0.498022i
\(236\) −2.76177 12.1001i −0.179776 0.787649i
\(237\) −7.25646 31.7926i −0.471358 2.06515i
\(238\) 0.176160 0.0848340i 0.0114187 0.00549897i
\(239\) 16.0838 + 7.74554i 1.04037 + 0.501017i 0.874447 0.485121i \(-0.161224\pi\)
0.165926 + 0.986138i \(0.446939\pi\)
\(240\) 8.49311 + 37.2107i 0.548228 + 2.40194i
\(241\) 10.2270 + 12.8242i 0.658776 + 0.826079i 0.993209 0.116340i \(-0.0371164\pi\)
−0.334433 + 0.942419i \(0.608545\pi\)
\(242\) −0.377041 0.472794i −0.0242371 0.0303923i
\(243\) −19.2707 9.28027i −1.23622 0.595330i
\(244\) 1.84993 8.10508i 0.118430 0.518875i
\(245\) −14.5650 + 18.2639i −0.930522 + 1.16684i
\(246\) 0.913370 4.00173i 0.0582343 0.255141i
\(247\) 0.750419 0.361383i 0.0477480 0.0229942i
\(248\) 2.37431 + 2.97728i 0.150769 + 0.189058i
\(249\) 4.24331 2.04347i 0.268909 0.129500i
\(250\) −2.35793 + 2.95676i −0.149129 + 0.187002i
\(251\) 23.8886 1.50783 0.753917 0.656970i \(-0.228162\pi\)
0.753917 + 0.656970i \(0.228162\pi\)
\(252\) −7.48712 −0.471644
\(253\) −9.31778 + 11.6841i −0.585804 + 0.734574i
\(254\) 1.24481 + 0.599470i 0.0781064 + 0.0376141i
\(255\) 2.25998 + 9.90163i 0.141526 + 0.620064i
\(256\) −2.85936 + 12.5277i −0.178710 + 0.782980i
\(257\) −2.11714 −0.132063 −0.0660317 0.997818i \(-0.521034\pi\)
−0.0660317 + 0.997818i \(0.521034\pi\)
\(258\) 2.05748 2.80703i 0.128093 0.174758i
\(259\) −4.92363 −0.305940
\(260\) −1.21154 + 5.30812i −0.0751368 + 0.329196i
\(261\) −0.772237 3.38339i −0.0478003 0.209427i
\(262\) −1.28083 0.616816i −0.0791301 0.0381070i
\(263\) 1.08919 1.36581i 0.0671626 0.0842192i −0.747115 0.664694i \(-0.768562\pi\)
0.814278 + 0.580475i \(0.197133\pi\)
\(264\) −7.86315 −0.483943
\(265\) 15.5058 0.952511
\(266\) −0.140894 + 0.176676i −0.00863880 + 0.0108327i
\(267\) 28.4852 13.7177i 1.74326 0.839512i
\(268\) −6.89383 8.64459i −0.421108 0.528053i
\(269\) −1.89788 + 0.913969i −0.115715 + 0.0557256i −0.490846 0.871246i \(-0.663312\pi\)
0.375130 + 0.926972i \(0.377598\pi\)
\(270\) −0.427110 + 1.87129i −0.0259931 + 0.113883i
\(271\) 12.2282 15.3337i 0.742811 0.931455i −0.256574 0.966525i \(-0.582594\pi\)
0.999385 + 0.0350693i \(0.0111652\pi\)
\(272\) −0.836243 + 3.66382i −0.0507047 + 0.222152i
\(273\) −1.65949 0.799170i −0.100437 0.0483680i
\(274\) 1.74097 + 2.18311i 0.105176 + 0.131886i
\(275\) 23.0208 + 28.8672i 1.38821 + 1.74076i
\(276\) 4.58679 + 20.0961i 0.276092 + 1.20964i
\(277\) −18.8132 9.05996i −1.13038 0.544360i −0.227293 0.973826i \(-0.572987\pi\)
−0.903083 + 0.429466i \(0.858702\pi\)
\(278\) 3.44340 1.65825i 0.206521 0.0994555i
\(279\) −4.18258 18.3251i −0.250405 1.09709i
\(280\) −0.664227 2.91017i −0.0396951 0.173916i
\(281\) 9.44071 4.54641i 0.563185 0.271216i −0.130555 0.991441i \(-0.541676\pi\)
0.693740 + 0.720225i \(0.255962\pi\)
\(282\) 2.18215 + 1.05087i 0.129945 + 0.0625782i
\(283\) −2.99405 13.1178i −0.177978 0.779773i −0.982562 0.185934i \(-0.940469\pi\)
0.804584 0.593839i \(-0.202388\pi\)
\(284\) 12.7680 + 16.0105i 0.757639 + 0.950050i
\(285\) −7.31867 9.17732i −0.433520 0.543617i
\(286\) −0.489540 0.235750i −0.0289471 0.0139402i
\(287\) 1.66989 7.31625i 0.0985703 0.431865i
\(288\) −5.77686 + 7.24395i −0.340405 + 0.426854i
\(289\) −0.222521 + 0.974928i −0.0130895 + 0.0573487i
\(290\) 0.616899 0.297083i 0.0362256 0.0174453i
\(291\) −29.8192 37.3920i −1.74803 2.19196i
\(292\) −3.88119 + 1.86908i −0.227130 + 0.109380i
\(293\) −9.81688 + 12.3100i −0.573508 + 0.719157i −0.980990 0.194057i \(-0.937835\pi\)
0.407482 + 0.913213i \(0.366407\pi\)
\(294\) −3.21548 −0.187530
\(295\) −24.4238 −1.42201
\(296\) −2.52400 + 3.16500i −0.146705 + 0.183962i
\(297\) 8.32855 + 4.01082i 0.483272 + 0.232731i
\(298\) −0.838242 3.67258i −0.0485581 0.212747i
\(299\) −0.640468 + 2.80607i −0.0370392 + 0.162279i
\(300\) 50.9269 2.94027
\(301\) 3.76163 5.13201i 0.216817 0.295804i
\(302\) −2.77766 −0.159837
\(303\) 5.33655 23.3810i 0.306577 1.34320i
\(304\) −0.966497 4.23450i −0.0554324 0.242865i
\(305\) −14.7398 7.09832i −0.843999 0.406448i
\(306\) −0.494728 + 0.620369i −0.0282817 + 0.0354641i
\(307\) 22.2209 1.26821 0.634106 0.773246i \(-0.281368\pi\)
0.634106 + 0.773246i \(0.281368\pi\)
\(308\) −7.11427 −0.405373
\(309\) 12.6551 15.8690i 0.719924 0.902756i
\(310\) 3.34124 1.60906i 0.189770 0.0913883i
\(311\) 12.5858 + 15.7821i 0.713677 + 0.894923i 0.997962 0.0638173i \(-0.0203275\pi\)
−0.284285 + 0.958740i \(0.591756\pi\)
\(312\) −1.36443 + 0.657073i −0.0772454 + 0.0371994i
\(313\) −5.33300 + 23.3654i −0.301439 + 1.32069i 0.566517 + 0.824050i \(0.308290\pi\)
−0.867956 + 0.496641i \(0.834567\pi\)
\(314\) 0.643804 0.807305i 0.0363320 0.0455589i
\(315\) −3.27856 + 14.3643i −0.184726 + 0.809336i
\(316\) −21.8561 10.5253i −1.22950 0.592096i
\(317\) −2.61013 3.27300i −0.146600 0.183830i 0.703110 0.711081i \(-0.251794\pi\)
−0.849710 + 0.527251i \(0.823223\pi\)
\(318\) 1.33072 + 1.66867i 0.0746233 + 0.0935746i
\(319\) −0.733781 3.21490i −0.0410838 0.180000i
\(320\) 24.4638 + 11.7812i 1.36757 + 0.658587i
\(321\) 9.02526 4.34634i 0.503741 0.242589i
\(322\) −0.173767 0.761325i −0.00968368 0.0424270i
\(323\) −0.257181 1.12678i −0.0143099 0.0626960i
\(324\) −9.36799 + 4.51139i −0.520444 + 0.250633i
\(325\) 6.40686 + 3.08538i 0.355389 + 0.171146i
\(326\) −0.153998 0.674708i −0.00852915 0.0373686i
\(327\) 18.6521 + 23.3889i 1.03146 + 1.29341i
\(328\) −3.84698 4.82396i −0.212414 0.266359i
\(329\) 3.98955 + 1.92127i 0.219951 + 0.105923i
\(330\) −1.70395 + 7.46551i −0.0937996 + 0.410963i
\(331\) 9.26904 11.6230i 0.509472 0.638858i −0.458864 0.888506i \(-0.651744\pi\)
0.968337 + 0.249648i \(0.0803150\pi\)
\(332\) 0.779604 3.41567i 0.0427863 0.187459i
\(333\) 18.0026 8.66961i 0.986538 0.475092i
\(334\) 0.688262 + 0.863053i 0.0376600 + 0.0472241i
\(335\) −19.6037 + 9.44065i −1.07107 + 0.515798i
\(336\) −5.98868 + 7.50956i −0.326709 + 0.409680i
\(337\) 17.0055 0.926347 0.463174 0.886268i \(-0.346711\pi\)
0.463174 + 0.886268i \(0.346711\pi\)
\(338\) 2.51483 0.136789
\(339\) 30.0610 37.6953i 1.63269 2.04733i
\(340\) 6.80695 + 3.27805i 0.369159 + 0.177777i
\(341\) −3.97429 17.4125i −0.215220 0.942941i
\(342\) 0.204069 0.894083i 0.0110348 0.0483465i
\(343\) −12.6712 −0.684179
\(344\) −1.37062 5.04886i −0.0738990 0.272216i
\(345\) 40.5635 2.18387
\(346\) 0.0289789 0.126965i 0.00155792 0.00682568i
\(347\) 6.92637 + 30.3464i 0.371827 + 1.62908i 0.721645 + 0.692264i \(0.243386\pi\)
−0.349817 + 0.936818i \(0.613756\pi\)
\(348\) −4.09789 1.97344i −0.219670 0.105788i
\(349\) 20.7941 26.0749i 1.11308 1.39576i 0.204085 0.978953i \(-0.434578\pi\)
0.908996 0.416805i \(-0.136850\pi\)
\(350\) −1.92933 −0.103127
\(351\) 1.78034 0.0950277
\(352\) −5.48918 + 6.88321i −0.292574 + 0.366876i
\(353\) 17.9419 8.64036i 0.954951 0.459880i 0.109531 0.993983i \(-0.465065\pi\)
0.845419 + 0.534103i \(0.179351\pi\)
\(354\) −2.09608 2.62840i −0.111405 0.139698i
\(355\) 36.3077 17.4849i 1.92702 0.928002i
\(356\) 5.23345 22.9293i 0.277372 1.21525i
\(357\) −1.59356 + 1.99827i −0.0843403 + 0.105759i
\(358\) 0.829312 3.63345i 0.0438305 0.192034i
\(359\) 16.4924 + 7.94231i 0.870434 + 0.419179i 0.815121 0.579290i \(-0.196670\pi\)
0.0553127 + 0.998469i \(0.482384\pi\)
\(360\) 7.55293 + 9.47108i 0.398074 + 0.499170i
\(361\) −11.0135 13.8104i −0.579656 0.726865i
\(362\) 0.829182 + 3.63289i 0.0435809 + 0.190940i
\(363\) 7.12217 + 3.42986i 0.373817 + 0.180021i
\(364\) −1.23448 + 0.594494i −0.0647043 + 0.0311600i
\(365\) 1.88635 + 8.26466i 0.0987363 + 0.432592i
\(366\) −0.501093 2.19543i −0.0261925 0.114757i
\(367\) −26.1936 + 12.6142i −1.36730 + 0.658455i −0.966251 0.257603i \(-0.917067\pi\)
−0.401045 + 0.916058i \(0.631353\pi\)
\(368\) 13.5230 + 6.51232i 0.704934 + 0.339478i
\(369\) 6.77685 + 29.6913i 0.352788 + 1.54567i
\(370\) 2.45799 + 3.08222i 0.127785 + 0.160237i
\(371\) 2.43292 + 3.05079i 0.126311 + 0.158389i
\(372\) −22.1950 10.6885i −1.15075 0.554174i
\(373\) −7.18484 + 31.4788i −0.372017 + 1.62991i 0.349090 + 0.937089i \(0.386491\pi\)
−0.721107 + 0.692824i \(0.756366\pi\)
\(374\) −0.470091 + 0.589476i −0.0243078 + 0.0304811i
\(375\) 11.0006 48.1968i 0.568069 2.48887i
\(376\) 3.28019 1.57966i 0.169163 0.0814645i
\(377\) −0.395976 0.496538i −0.0203938 0.0255730i
\(378\) −0.435195 + 0.209579i −0.0223840 + 0.0107796i
\(379\) −14.5915 + 18.2972i −0.749516 + 0.939863i −0.999598 0.0283615i \(-0.990971\pi\)
0.250082 + 0.968225i \(0.419542\pi\)
\(380\) −8.73194 −0.447939
\(381\) −18.0608 −0.925284
\(382\) −0.634579 + 0.795737i −0.0324679 + 0.0407134i
\(383\) −10.9402 5.26853i −0.559019 0.269210i 0.132967 0.991121i \(-0.457550\pi\)
−0.691986 + 0.721911i \(0.743264\pi\)
\(384\) 3.58978 + 15.7278i 0.183190 + 0.802608i
\(385\) −3.11529 + 13.6490i −0.158770 + 0.695616i
\(386\) −4.91046 −0.249936
\(387\) −4.71739 + 25.3881i −0.239798 + 1.29055i
\(388\) −35.5774 −1.80617
\(389\) −5.57389 + 24.4208i −0.282608 + 1.23819i 0.611829 + 0.790990i \(0.290434\pi\)
−0.894437 + 0.447195i \(0.852423\pi\)
\(390\) 0.328172 + 1.43782i 0.0166176 + 0.0728067i
\(391\) 3.59841 + 1.73290i 0.181979 + 0.0876367i
\(392\) −3.01363 + 3.77897i −0.152211 + 0.190867i
\(393\) 18.5834 0.937411
\(394\) −2.90918 −0.146563
\(395\) −29.7638 + 37.3227i −1.49758 + 1.87791i
\(396\) 26.0124 12.5269i 1.30717 0.629502i
\(397\) 11.5616 + 14.4978i 0.580261 + 0.727625i 0.982157 0.188061i \(-0.0602201\pi\)
−0.401896 + 0.915685i \(0.631649\pi\)
\(398\) 1.93322 0.930990i 0.0969036 0.0466663i
\(399\) 0.657324 2.87992i 0.0329073 0.144176i
\(400\) 23.1207 28.9924i 1.15603 1.44962i
\(401\) 2.43146 10.6529i 0.121421 0.531982i −0.877230 0.480070i \(-0.840611\pi\)
0.998652 0.0519118i \(-0.0165315\pi\)
\(402\) −2.69838 1.29947i −0.134583 0.0648118i
\(403\) −2.14468 2.68934i −0.106834 0.133966i
\(404\) −11.1231 13.9480i −0.553397 0.693938i
\(405\) 4.55307 + 19.9483i 0.226244 + 0.991240i
\(406\) 0.155246 + 0.0747624i 0.00770472 + 0.00371040i
\(407\) 17.1061 8.23788i 0.847919 0.408336i
\(408\) 0.467612 + 2.04874i 0.0231502 + 0.101428i
\(409\) 0.400350 + 1.75405i 0.0197960 + 0.0867321i 0.983861 0.178935i \(-0.0572651\pi\)
−0.964065 + 0.265667i \(0.914408\pi\)
\(410\) −5.41366 + 2.60708i −0.267362 + 0.128755i
\(411\) −32.8863 15.8372i −1.62216 0.781193i
\(412\) −3.35982 14.7203i −0.165526 0.725218i
\(413\) −3.83220 4.80543i −0.188570 0.236460i
\(414\) 1.97591 + 2.47771i 0.0971107 + 0.121773i
\(415\) −6.21169 2.99139i −0.304920 0.146842i
\(416\) −0.377305 + 1.65308i −0.0184989 + 0.0810490i
\(417\) −31.1495 + 39.0602i −1.52540 + 1.91279i
\(418\) 0.193906 0.849559i 0.00948426 0.0415533i
\(419\) −19.2703 + 9.28008i −0.941415 + 0.453361i −0.840668 0.541551i \(-0.817837\pi\)
−0.100747 + 0.994912i \(0.532123\pi\)
\(420\) 12.0396 + 15.0972i 0.587472 + 0.736667i
\(421\) 7.44008 3.58295i 0.362607 0.174622i −0.243704 0.969850i \(-0.578363\pi\)
0.606312 + 0.795227i \(0.292648\pi\)
\(422\) −0.583059 + 0.731133i −0.0283829 + 0.0355910i
\(423\) −17.9703 −0.873746
\(424\) 3.20829 0.155808
\(425\) 6.15233 7.71477i 0.298432 0.374221i
\(426\) 4.99764 + 2.40673i 0.242136 + 0.116607i
\(427\) −0.916133 4.01384i −0.0443348 0.194243i
\(428\) 1.65817 7.26492i 0.0801507 0.351163i
\(429\) 7.10268 0.342921
\(430\) −5.09056 + 0.207216i −0.245489 + 0.00999286i
\(431\) −32.8271 −1.58123 −0.790613 0.612316i \(-0.790238\pi\)
−0.790613 + 0.612316i \(0.790238\pi\)
\(432\) 2.06590 9.05132i 0.0993959 0.435482i
\(433\) −8.21626 35.9978i −0.394848 1.72994i −0.647211 0.762311i \(-0.724065\pi\)
0.252363 0.967633i \(-0.418792\pi\)
\(434\) 0.840840 + 0.404927i 0.0403616 + 0.0194371i
\(435\) −5.58055 + 6.99779i −0.267567 + 0.335519i
\(436\) 22.2539 1.06577
\(437\) −4.61604 −0.220815
\(438\) −0.727524 + 0.912286i −0.0347624 + 0.0435907i
\(439\) 21.2417 10.2295i 1.01381 0.488225i 0.148207 0.988956i \(-0.452650\pi\)
0.865603 + 0.500731i \(0.166936\pi\)
\(440\) 7.17681 + 8.99943i 0.342141 + 0.429031i
\(441\) 21.4949 10.3514i 1.02357 0.492925i
\(442\) −0.0323123 + 0.141569i −0.00153694 + 0.00673376i
\(443\) −15.1121 + 18.9499i −0.717995 + 0.900337i −0.998223 0.0595962i \(-0.981019\pi\)
0.280227 + 0.959934i \(0.409590\pi\)
\(444\) 5.82731 25.5311i 0.276552 1.21165i
\(445\) −41.6989 20.0811i −1.97672 0.951936i
\(446\) −1.59030 1.99417i −0.0753027 0.0944267i
\(447\) 30.7023 + 38.4995i 1.45217 + 1.82097i
\(448\) 1.52052 + 6.66182i 0.0718377 + 0.314742i
\(449\) 34.0202 + 16.3833i 1.60551 + 0.773175i 0.999748 0.0224670i \(-0.00715208\pi\)
0.605767 + 0.795642i \(0.292866\pi\)
\(450\) 7.05435 3.39719i 0.332545 0.160145i
\(451\) 6.43937 + 28.2127i 0.303218 + 1.32848i
\(452\) −7.98092 34.9667i −0.375391 1.64469i
\(453\) 32.7140 15.7542i 1.53704 0.740197i
\(454\) 4.56050 + 2.19622i 0.214035 + 0.103074i
\(455\) 0.599987 + 2.62872i 0.0281278 + 0.123236i
\(456\) −1.51430 1.89887i −0.0709136 0.0889229i
\(457\) −6.51886 8.17439i −0.304939 0.382382i 0.605624 0.795751i \(-0.292923\pi\)
−0.910564 + 0.413369i \(0.864352\pi\)
\(458\) 1.25514 + 0.604442i 0.0586487 + 0.0282437i
\(459\) 0.549729 2.40852i 0.0256592 0.112420i
\(460\) 18.8136 23.5916i 0.877191 1.09996i
\(461\) 4.22273 18.5010i 0.196672 0.861677i −0.776228 0.630452i \(-0.782869\pi\)
0.972900 0.231225i \(-0.0742734\pi\)
\(462\) −1.73621 + 0.836115i −0.0807759 + 0.0388996i
\(463\) 16.6505 + 20.8791i 0.773817 + 0.970335i 0.999993 0.00375100i \(-0.00119398\pi\)
−0.226176 + 0.974086i \(0.572623\pi\)
\(464\) −2.98390 + 1.43697i −0.138524 + 0.0667098i
\(465\) −30.2253 + 37.9014i −1.40167 + 1.75763i
\(466\) 4.40232 0.203934
\(467\) −4.05087 −0.187452 −0.0937259 0.995598i \(-0.529878\pi\)
−0.0937259 + 0.995598i \(0.529878\pi\)
\(468\) 3.46692 4.34738i 0.160259 0.200958i
\(469\) −4.93337 2.37579i −0.227802 0.109704i
\(470\) −0.788952 3.45662i −0.0363916 0.159442i
\(471\) −3.00358 + 13.1595i −0.138398 + 0.606360i
\(472\) −5.05351 −0.232607
\(473\) −4.48247 + 24.1238i −0.206104 + 1.10921i
\(474\) −6.57090 −0.301811
\(475\) −2.53775 + 11.1186i −0.116440 + 0.510157i
\(476\) 0.423077 + 1.85362i 0.0193917 + 0.0849606i
\(477\) −14.2675 6.87089i −0.653266 0.314596i
\(478\) 2.24274 2.81230i 0.102580 0.128632i
\(479\) −32.0614 −1.46492 −0.732462 0.680808i \(-0.761629\pi\)
−0.732462 + 0.680808i \(0.761629\pi\)
\(480\) 23.8963 1.09071
\(481\) 2.27990 2.85890i 0.103954 0.130355i
\(482\) 2.97781 1.43404i 0.135636 0.0653187i
\(483\) 6.36459 + 7.98094i 0.289599 + 0.363146i
\(484\) 5.29810 2.55143i 0.240823 0.115974i
\(485\) −15.5791 + 68.2565i −0.707410 + 3.09937i
\(486\) −2.68712 + 3.36955i −0.121890 + 0.152846i
\(487\) −6.59379 + 28.8893i −0.298793 + 1.30910i 0.573133 + 0.819462i \(0.305728\pi\)
−0.871926 + 0.489637i \(0.837129\pi\)
\(488\) −3.04980 1.46871i −0.138058 0.0664853i
\(489\) 5.64049 + 7.07295i 0.255072 + 0.319850i
\(490\) 2.93481 + 3.68014i 0.132581 + 0.166252i
\(491\) −2.74814 12.0404i −0.124022 0.543375i −0.998318 0.0579814i \(-0.981534\pi\)
0.874296 0.485393i \(-0.161324\pi\)
\(492\) 35.9615 + 17.3181i 1.62127 + 0.780762i
\(493\) −0.794005 + 0.382373i −0.0357602 + 0.0172212i
\(494\) −0.0373453 0.163620i −0.00168024 0.00736163i
\(495\) −12.6427 55.3912i −0.568246 2.48965i
\(496\) −16.1614 + 7.78291i −0.725667 + 0.349463i
\(497\) 9.13703 + 4.40016i 0.409852 + 0.197374i
\(498\) −0.211172 0.925205i −0.00946284 0.0414594i
\(499\) 25.5021 + 31.9786i 1.14163 + 1.43156i 0.885332 + 0.464960i \(0.153931\pi\)
0.256298 + 0.966598i \(0.417497\pi\)
\(500\) −22.9289 28.7520i −1.02541 1.28583i
\(501\) −13.0010 6.26096i −0.580843 0.279719i
\(502\) 1.07110 4.69281i 0.0478057 0.209451i
\(503\) 1.09586 1.37416i 0.0488618 0.0612708i −0.756800 0.653646i \(-0.773238\pi\)
0.805662 + 0.592376i \(0.201810\pi\)
\(504\) −0.678364 + 2.97211i −0.0302167 + 0.132388i
\(505\) −31.6304 + 15.2324i −1.40754 + 0.677833i
\(506\) 1.87751 + 2.35433i 0.0834656 + 0.104663i
\(507\) −29.6184 + 14.2635i −1.31540 + 0.633463i
\(508\) −8.37674 + 10.5041i −0.371658 + 0.466044i
\(509\) 34.0176 1.50780 0.753902 0.656987i \(-0.228170\pi\)
0.753902 + 0.656987i \(0.228170\pi\)
\(510\) 2.04647 0.0906192
\(511\) −1.33011 + 1.66790i −0.0588406 + 0.0737838i
\(512\) 13.3691 + 6.43821i 0.590835 + 0.284531i
\(513\) 0.635356 + 2.78368i 0.0280516 + 0.122902i
\(514\) −0.0949271 + 0.415903i −0.00418706 + 0.0183447i
\(515\) −29.7127 −1.30930
\(516\) 22.1596 + 25.5796i 0.975522 + 1.12608i
\(517\) −17.0754 −0.750975
\(518\) −0.220764 + 0.967228i −0.00969979 + 0.0424976i
\(519\) 0.378814 + 1.65969i 0.0166281 + 0.0728524i
\(520\) 1.99736 + 0.961876i 0.0875898 + 0.0421810i
\(521\) 12.9848 16.2824i 0.568874 0.713346i −0.411296 0.911502i \(-0.634924\pi\)
0.980171 + 0.198156i \(0.0634952\pi\)
\(522\) −0.699279 −0.0306066
\(523\) −8.65661 −0.378527 −0.189264 0.981926i \(-0.560610\pi\)
−0.189264 + 0.981926i \(0.560610\pi\)
\(524\) 8.61914 10.8081i 0.376529 0.472152i
\(525\) 22.7227 10.9427i 0.991700 0.477577i
\(526\) −0.219470 0.275207i −0.00956937 0.0119996i
\(527\) −4.30048 + 2.07100i −0.187332 + 0.0902143i
\(528\) 8.24192 36.1102i 0.358684 1.57150i
\(529\) −4.39466 + 5.51073i −0.191072 + 0.239597i
\(530\) 0.695240 3.04604i 0.0301993 0.132312i
\(531\) 22.4734 + 10.8226i 0.975264 + 0.469663i
\(532\) −1.37008 1.71803i −0.0594005 0.0744859i
\(533\) 3.47493 + 4.35742i 0.150516 + 0.188741i
\(534\) −1.41759 6.21087i −0.0613451 0.268771i
\(535\) −13.2119 6.36251i −0.571200 0.275075i
\(536\) −4.05619 + 1.95336i −0.175201 + 0.0843722i
\(537\) 10.8408 + 47.4967i 0.467816 + 2.04963i
\(538\) 0.0944495 + 0.413810i 0.00407201 + 0.0178406i
\(539\) 20.4245 9.83593i 0.879747 0.423664i
\(540\) −16.8163 8.09830i −0.723658 0.348495i
\(541\) 8.44385 + 36.9949i 0.363030 + 1.59054i 0.745459 + 0.666552i \(0.232230\pi\)
−0.382429 + 0.923985i \(0.624912\pi\)
\(542\) −2.46396 3.08971i −0.105836 0.132714i
\(543\) −30.3705 38.0834i −1.30332 1.63432i
\(544\) 2.11985 + 1.02087i 0.0908880 + 0.0437693i
\(545\) 9.74482 42.6948i 0.417422 1.82885i
\(546\) −0.231401 + 0.290168i −0.00990307 + 0.0124181i
\(547\) 3.49736 15.3229i 0.149536 0.655161i −0.843478 0.537164i \(-0.819496\pi\)
0.993014 0.117997i \(-0.0376474\pi\)
\(548\) −24.4638 + 11.7811i −1.04504 + 0.503265i
\(549\) 10.4174 + 13.0630i 0.444602 + 0.557514i
\(550\) 6.70305 3.22802i 0.285819 0.137643i
\(551\) 0.635055 0.796333i 0.0270542 0.0339249i
\(552\) 8.39297 0.357228
\(553\) −12.0134 −0.510861
\(554\) −2.62333 + 3.28955i −0.111455 + 0.139760i
\(555\) −46.4306 22.3598i −1.97087 0.949120i
\(556\) 8.26991 + 36.2328i 0.350722 + 1.53661i
\(557\) 6.16990 27.0321i 0.261427 1.14539i −0.658278 0.752775i \(-0.728715\pi\)
0.919705 0.392611i \(-0.128428\pi\)
\(558\) −3.78743 −0.160335
\(559\) 1.23807 + 4.56057i 0.0523646 + 0.192892i
\(560\) 14.0607 0.594173
\(561\) 2.19314 9.60879i 0.0925946 0.405684i
\(562\) −0.469825 2.05844i −0.0198184 0.0868300i
\(563\) −18.8162 9.06140i −0.793008 0.381893i −0.00689590 0.999976i \(-0.502195\pi\)
−0.786112 + 0.618084i \(0.787909\pi\)
\(564\) −14.6844 + 18.4136i −0.618324 + 0.775354i
\(565\) −70.5796 −2.96931
\(566\) −2.71119 −0.113960
\(567\) −3.21047 + 4.02581i −0.134827 + 0.169068i
\(568\) 7.51241 3.61779i 0.315214 0.151799i
\(569\) −11.6637 14.6258i −0.488967 0.613146i 0.474734 0.880129i \(-0.342544\pi\)
−0.963701 + 0.266984i \(0.913973\pi\)
\(570\) −2.13100 + 1.02623i −0.0892577 + 0.0429843i
\(571\) −10.4876 + 45.9490i −0.438891 + 1.92291i −0.0579133 + 0.998322i \(0.518445\pi\)
−0.380977 + 0.924584i \(0.624412\pi\)
\(572\) 3.29427 4.13089i 0.137741 0.172721i
\(573\) 2.96054 12.9710i 0.123678 0.541870i
\(574\) −1.36237 0.656085i −0.0568644 0.0273845i
\(575\) −24.5720 30.8123i −1.02472 1.28496i
\(576\) −17.2898 21.6808i −0.720409 0.903365i
\(577\) 9.43272 + 41.3275i 0.392689 + 1.72048i 0.655112 + 0.755532i \(0.272621\pi\)
−0.262422 + 0.964953i \(0.584521\pi\)
\(578\) 0.181543 + 0.0874267i 0.00755121 + 0.00363647i
\(579\) 57.8330 27.8509i 2.40346 1.15744i
\(580\) 1.48159 + 6.49126i 0.0615195 + 0.269535i
\(581\) −0.386079 1.69152i −0.0160173 0.0701763i
\(582\) −8.68254 + 4.18129i −0.359903 + 0.173320i
\(583\) −13.5570 6.52872i −0.561475 0.270392i
\(584\) 0.390304 + 1.71004i 0.0161509 + 0.0707618i
\(585\) −6.82247 8.55510i −0.282074 0.353710i
\(586\) 1.97808 + 2.48044i 0.0817138 + 0.102466i
\(587\) −2.75546 1.32696i −0.113730 0.0547694i 0.376154 0.926557i \(-0.377246\pi\)
−0.489884 + 0.871788i \(0.662961\pi\)
\(588\) 6.95774 30.4839i 0.286933 1.25713i
\(589\) 3.43958 4.31309i 0.141725 0.177718i
\(590\) −1.09510 + 4.79796i −0.0450847 + 0.197529i
\(591\) 34.2629 16.5002i 1.40939 0.678726i
\(592\) −11.8891 14.9085i −0.488641 0.612736i
\(593\) −16.9187 + 8.14763i −0.694769 + 0.334583i −0.747720 0.664014i \(-0.768851\pi\)
0.0529514 + 0.998597i \(0.483137\pi\)
\(594\) 1.16134 1.45628i 0.0476504 0.0597517i
\(595\) 3.74150 0.153386
\(596\) 36.6311 1.50047
\(597\) −17.4882 + 21.9295i −0.715744 + 0.897514i
\(598\) 0.522525 + 0.251635i 0.0213676 + 0.0102901i
\(599\) −3.42631 15.0117i −0.139995 0.613360i −0.995434 0.0954551i \(-0.969569\pi\)
0.855438 0.517905i \(-0.173288\pi\)
\(600\) 4.61419 20.2161i 0.188373 0.825318i
\(601\) −15.5369 −0.633764 −0.316882 0.948465i \(-0.602636\pi\)
−0.316882 + 0.948465i \(0.602636\pi\)
\(602\) −0.839501 0.969064i −0.0342155 0.0394961i
\(603\) 22.2216 0.904933
\(604\) 6.01039 26.3332i 0.244559 1.07148i
\(605\) −2.57501 11.2819i −0.104689 0.458672i
\(606\) −4.35382 2.09669i −0.176862 0.0851722i
\(607\) 10.5721 13.2571i 0.429110 0.538087i −0.519527 0.854454i \(-0.673892\pi\)
0.948637 + 0.316367i \(0.102463\pi\)
\(608\) −2.71934 −0.110284
\(609\) −2.25244 −0.0912736
\(610\) −2.05533 + 2.57731i −0.0832180 + 0.104352i
\(611\) −2.96295 + 1.42688i −0.119868 + 0.0577255i
\(612\) −4.81081 6.03257i −0.194466 0.243852i
\(613\) 13.3154 6.41237i 0.537805 0.258993i −0.145206 0.989401i \(-0.546384\pi\)
0.683011 + 0.730408i \(0.260670\pi\)
\(614\) 0.996329 4.36520i 0.0402086 0.176165i
\(615\) 48.9727 61.4098i 1.97477 2.47628i
\(616\) −0.644582 + 2.82410i −0.0259710 + 0.113786i
\(617\) −42.7887 20.6060i −1.72261 0.829565i −0.988625 0.150399i \(-0.951944\pi\)
−0.733984 0.679166i \(-0.762341\pi\)
\(618\) −2.54998 3.19757i −0.102575 0.128625i
\(619\) −10.1660 12.7478i −0.408607 0.512377i 0.534363 0.845255i \(-0.320552\pi\)
−0.942970 + 0.332878i \(0.891980\pi\)
\(620\) 8.02455 + 35.1579i 0.322274 + 1.41197i
\(621\) −8.88973 4.28107i −0.356733 0.171793i
\(622\) 3.66466 1.76480i 0.146939 0.0707622i
\(623\) −2.59174 11.3551i −0.103836 0.454934i
\(624\) −1.58735 6.95463i −0.0635448 0.278408i
\(625\) −20.7502 + 9.99278i −0.830009 + 0.399711i
\(626\) 4.35092 + 2.09529i 0.173898 + 0.0837448i
\(627\) 2.53475 + 11.1055i 0.101228 + 0.443510i
\(628\) 6.26045 + 7.85036i 0.249819 + 0.313264i
\(629\) −3.16366 3.96710i −0.126143 0.158179i
\(630\) 2.67481 + 1.28812i 0.106567 + 0.0513199i
\(631\) −3.91743 + 17.1634i −0.155950 + 0.683263i 0.835136 + 0.550043i \(0.185389\pi\)
−0.991087 + 0.133220i \(0.957468\pi\)
\(632\) −6.15841 + 7.72241i −0.244969 + 0.307181i
\(633\) 2.72018 11.9179i 0.108117 0.473693i
\(634\) −0.760000 + 0.365997i −0.0301835 + 0.0145356i
\(635\) 16.4844 + 20.6707i 0.654162 + 0.820294i
\(636\) −18.6991 + 9.00500i −0.741467 + 0.357071i
\(637\) 2.72217 3.41349i 0.107856 0.135248i
\(638\) −0.664456 −0.0263061
\(639\) −41.1563 −1.62812
\(640\) 14.7242 18.4636i 0.582025 0.729836i
\(641\) 20.0349 + 9.64831i 0.791332 + 0.381085i 0.785472 0.618897i \(-0.212420\pi\)
0.00586026 + 0.999983i \(0.498135\pi\)
\(642\) −0.449150 1.96786i −0.0177265 0.0776651i
\(643\) 0.920469 4.03284i 0.0362998 0.159040i −0.953530 0.301299i \(-0.902580\pi\)
0.989829 + 0.142260i \(0.0454368\pi\)
\(644\) 7.59363 0.299231
\(645\) 58.7788 31.3129i 2.31441 1.23294i
\(646\) −0.232884 −0.00916269
\(647\) −0.418940 + 1.83550i −0.0164702 + 0.0721608i −0.982495 0.186288i \(-0.940354\pi\)
0.966025 + 0.258449i \(0.0832114\pi\)
\(648\) 0.942074 + 4.12749i 0.0370081 + 0.162143i
\(649\) 21.3543 + 10.2837i 0.838229 + 0.403670i
\(650\) 0.893379 1.12026i 0.0350412 0.0439403i
\(651\) −12.1996 −0.478142
\(652\) 6.72970 0.263555
\(653\) 22.9097 28.7278i 0.896524 1.12421i −0.0951535 0.995463i \(-0.530334\pi\)
0.991678 0.128743i \(-0.0410944\pi\)
\(654\) 5.43098 2.61542i 0.212368 0.102271i
\(655\) −16.9614 21.2689i −0.662736 0.831044i
\(656\) 26.1855 12.6103i 1.02237 0.492349i
\(657\) 1.92650 8.44056i 0.0751600 0.329298i
\(658\) 0.556307 0.697587i 0.0216871 0.0271948i
\(659\) −5.53687 + 24.2586i −0.215686 + 0.944981i 0.744939 + 0.667133i \(0.232479\pi\)
−0.960625 + 0.277849i \(0.910379\pi\)
\(660\) −67.0886 32.3082i −2.61142 1.25759i
\(661\) −3.56690 4.47276i −0.138737 0.173970i 0.707609 0.706604i \(-0.249774\pi\)
−0.846346 + 0.532634i \(0.821202\pi\)
\(662\) −1.86769 2.34201i −0.0725899 0.0910249i
\(663\) −0.422388 1.85060i −0.0164042 0.0718714i
\(664\) −1.28526 0.618947i −0.0498776 0.0240198i
\(665\) −3.89604 + 1.87623i −0.151082 + 0.0727573i
\(666\) −0.895917 3.92527i −0.0347161 0.152101i
\(667\) 0.783223 + 3.43152i 0.0303265 + 0.132869i
\(668\) −9.67132 + 4.65746i −0.374195 + 0.180203i
\(669\) 30.0402 + 14.4666i 1.16142 + 0.559310i
\(670\) 0.975596 + 4.27437i 0.0376906 + 0.165133i
\(671\) 9.89859 + 12.4124i 0.382131 + 0.479177i
\(672\) 3.74943 + 4.70164i 0.144637 + 0.181370i
\(673\) 22.0454 + 10.6165i 0.849788 + 0.409236i 0.807499 0.589869i \(-0.200821\pi\)
0.0422889 + 0.999105i \(0.486535\pi\)
\(674\) 0.762483 3.34066i 0.0293698 0.128677i
\(675\) −15.1991 + 19.0590i −0.585013 + 0.733583i
\(676\) −5.44166 + 23.8415i −0.209295 + 0.916979i
\(677\) −44.4059 + 21.3848i −1.70666 + 0.821883i −0.714110 + 0.700034i \(0.753168\pi\)
−0.992549 + 0.121850i \(0.961117\pi\)
\(678\) −6.05723 7.59552i −0.232626 0.291704i
\(679\) −15.8740 + 7.64453i −0.609189 + 0.293370i
\(680\) 1.91800 2.40510i 0.0735521 0.0922314i
\(681\) −66.1678 −2.53556
\(682\) −3.59882 −0.137806
\(683\) −3.54431 + 4.44442i −0.135619 + 0.170061i −0.845003 0.534761i \(-0.820402\pi\)
0.709384 + 0.704822i \(0.248973\pi\)
\(684\) 8.03465 + 3.86929i 0.307213 + 0.147946i
\(685\) 11.8900 + 52.0935i 0.454294 + 1.99039i
\(686\) −0.568144 + 2.48920i −0.0216918 + 0.0950381i
\(687\) −18.2106 −0.694779
\(688\) 24.6227 1.00229i 0.938733 0.0382121i
\(689\) −2.89800 −0.110405
\(690\) 1.81877 7.96854i 0.0692393 0.303357i
\(691\) −5.58892 24.4866i −0.212612 0.931516i −0.962784 0.270272i \(-0.912886\pi\)
0.750171 0.661243i \(-0.229971\pi\)
\(692\) 1.14097 + 0.549461i 0.0433730 + 0.0208874i
\(693\) 8.91463 11.1786i 0.338639 0.424639i
\(694\) 6.27200 0.238082
\(695\) 73.1353 2.77418
\(696\) −1.15467 + 1.44791i −0.0437676 + 0.0548828i
\(697\) 6.96787 3.35555i 0.263927 0.127101i
\(698\) −4.18996 5.25405i −0.158592 0.198869i
\(699\) −51.8484 + 24.9689i −1.96109 + 0.944409i
\(700\) 4.17474 18.2907i 0.157790 0.691324i
\(701\) 17.3677 21.7785i 0.655971 0.822561i −0.336927 0.941531i \(-0.609388\pi\)
0.992898 + 0.118970i \(0.0379591\pi\)
\(702\) 0.0798262 0.349741i 0.00301284 0.0132001i
\(703\) 5.28370 + 2.54450i 0.199278 + 0.0959674i
\(704\) −16.4288 20.6011i −0.619184 0.776432i
\(705\) 28.8970 + 36.2357i 1.08832 + 1.36471i
\(706\) −0.892895 3.91203i −0.0336045 0.147231i
\(707\) −7.95996 3.83331i −0.299365 0.144167i
\(708\) 29.4537 14.1842i 1.10694 0.533074i
\(709\) 1.03625 + 4.54013i 0.0389174 + 0.170508i 0.990652 0.136414i \(-0.0435579\pi\)
−0.951734 + 0.306923i \(0.900701\pi\)
\(710\) −1.80689 7.91649i −0.0678113 0.297101i
\(711\) 43.9254 21.1533i 1.64733 0.793313i
\(712\) −8.62789 4.15497i −0.323344 0.155714i
\(713\) 4.24208 + 18.5858i 0.158867 + 0.696043i
\(714\) 0.321100 + 0.402647i 0.0120169 + 0.0150687i
\(715\) −6.48271 8.12907i −0.242440 0.304010i
\(716\) 32.6519 + 15.7243i 1.22026 + 0.587646i
\(717\) −10.4632 + 45.8422i −0.390754 + 1.71201i
\(718\) 2.29971 2.88375i 0.0858245 0.107621i
\(719\) 3.02667 13.2607i 0.112876 0.494540i −0.886611 0.462515i \(-0.846947\pi\)
0.999487 0.0320252i \(-0.0101957\pi\)
\(720\) −51.4112 + 24.7583i −1.91598 + 0.922688i
\(721\) −4.66205 5.84603i −0.173624 0.217717i
\(722\) −3.20682 + 1.54432i −0.119346 + 0.0574738i
\(723\) −26.9377 + 33.7788i −1.00182 + 1.25625i
\(724\) −36.2352 −1.34667
\(725\) 8.69608 0.322964
\(726\) 0.993122 1.24534i 0.0368582 0.0462187i
\(727\) −26.0933 12.5659i −0.967746 0.466042i −0.117872 0.993029i \(-0.537607\pi\)
−0.849873 + 0.526987i \(0.823322\pi\)
\(728\) 0.124143 + 0.543906i 0.00460105 + 0.0201585i
\(729\) 8.99393 39.4050i 0.333108 1.45944i
\(730\) 1.70814 0.0632211
\(731\) 6.55201 0.266706i 0.242335 0.00986449i
\(732\) 21.8977 0.809364
\(733\) 3.39092 14.8566i 0.125247 0.548741i −0.872901 0.487898i \(-0.837764\pi\)
0.998147 0.0608435i \(-0.0193790\pi\)
\(734\) 1.30355 + 5.71122i 0.0481149 + 0.210805i
\(735\) −55.4376 26.6973i −2.04485 0.984746i
\(736\) 5.85904 7.34700i 0.215967 0.270814i
\(737\) 21.1150 0.777780
\(738\) 6.13660 0.225891
\(739\) 21.3896 26.8217i 0.786827 0.986650i −0.213126 0.977025i \(-0.568365\pi\)
0.999954 0.00962576i \(-0.00306402\pi\)
\(740\) −34.5392 + 16.6332i −1.26969 + 0.611449i
\(741\) 1.36785 + 1.71523i 0.0502492 + 0.0630104i
\(742\) 0.708401 0.341148i 0.0260062 0.0125239i
\(743\) 0.888320 3.89198i 0.0325893 0.142783i −0.956016 0.293315i \(-0.905242\pi\)
0.988605 + 0.150532i \(0.0480987\pi\)
\(744\) −6.25390 + 7.84214i −0.229279 + 0.287507i
\(745\) 16.0405 70.2781i 0.587679 2.57479i
\(746\) 5.86174 + 2.82287i 0.214614 + 0.103353i
\(747\) 4.39011 + 5.50503i 0.160626 + 0.201419i
\(748\) −4.57124 5.73215i −0.167141 0.209588i
\(749\) −0.821168 3.59777i −0.0300048 0.131460i
\(750\) −8.97484 4.32206i −0.327715 0.157819i
\(751\) −45.9691 + 22.1376i −1.67744 + 0.807811i −0.680241 + 0.732989i \(0.738125\pi\)
−0.997197 + 0.0748223i \(0.976161\pi\)
\(752\) 3.81611 + 16.7195i 0.139159 + 0.609697i
\(753\) 14.0015 + 61.3447i 0.510244 + 2.23553i
\(754\) −0.115297 + 0.0555243i −0.00419889 + 0.00202208i
\(755\) −47.8893 23.0623i −1.74287 0.839322i
\(756\) −1.04519 4.57930i −0.0380134 0.166547i
\(757\) 15.8719 + 19.9028i 0.576876 + 0.723379i 0.981576 0.191070i \(-0.0611958\pi\)
−0.404701 + 0.914449i \(0.632624\pi\)