Properties

Label 690.2.q.a.11.7
Level $690$
Weight $2$
Character 690.11
Analytic conductor $5.510$
Analytic rank $0$
Dimension $160$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 690.q (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.50967773947\)
Analytic rank: \(0\)
Dimension: \(160\)
Relative dimension: \(16\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 11.7
Character \(\chi\) \(=\) 690.11
Dual form 690.2.q.a.251.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.540641 - 0.841254i) q^{2} +(1.47579 - 0.906664i) q^{3} +(-0.415415 + 0.909632i) q^{4} +(-0.959493 + 0.281733i) q^{5} +(-1.56061 - 0.751335i) q^{6} +(-1.93677 + 1.67822i) q^{7} +(0.989821 - 0.142315i) q^{8} +(1.35592 - 2.67609i) q^{9} +O(q^{10})\) \(q+(-0.540641 - 0.841254i) q^{2} +(1.47579 - 0.906664i) q^{3} +(-0.415415 + 0.909632i) q^{4} +(-0.959493 + 0.281733i) q^{5} +(-1.56061 - 0.751335i) q^{6} +(-1.93677 + 1.67822i) q^{7} +(0.989821 - 0.142315i) q^{8} +(1.35592 - 2.67609i) q^{9} +(0.755750 + 0.654861i) q^{10} +(4.86446 + 3.12620i) q^{11} +(0.211665 + 1.71907i) q^{12} +(2.75804 - 3.18294i) q^{13} +(2.45891 + 0.722000i) q^{14} +(-1.16057 + 1.28572i) q^{15} +(-0.654861 - 0.755750i) q^{16} +(1.02470 + 2.24378i) q^{17} +(-2.98434 + 0.306134i) q^{18} +(-1.20876 - 0.552021i) q^{19} +(0.142315 - 0.989821i) q^{20} +(-1.33669 + 4.23270i) q^{21} -5.78240i q^{22} +(4.03585 - 2.59074i) q^{23} +(1.33174 - 1.10746i) q^{24} +(0.841254 - 0.540641i) q^{25} +(-4.16877 - 0.599378i) q^{26} +(-0.425265 - 5.17872i) q^{27} +(-0.722000 - 2.45891i) q^{28} +(9.05831 - 4.13679i) q^{29} +(1.70907 + 0.281227i) q^{30} +(-1.06802 - 7.42827i) q^{31} +(-0.281733 + 0.959493i) q^{32} +(10.0133 + 0.203185i) q^{33} +(1.33359 - 2.07511i) q^{34} +(1.38551 - 2.15589i) q^{35} +(1.87099 + 2.34508i) q^{36} +(-0.831698 + 2.83250i) q^{37} +(0.189114 + 1.31532i) q^{38} +(1.18442 - 7.19797i) q^{39} +(-0.909632 + 0.415415i) q^{40} +(2.86232 + 9.74816i) q^{41} +(4.28344 - 1.16388i) q^{42} +(-8.83499 - 1.27028i) q^{43} +(-4.86446 + 3.12620i) q^{44} +(-0.547053 + 2.94970i) q^{45} +(-4.36141 - 1.99452i) q^{46} +1.54834i q^{47} +(-1.65165 - 0.521590i) q^{48} +(-0.0615513 + 0.428098i) q^{49} +(-0.909632 - 0.415415i) q^{50} +(3.54660 + 2.38229i) q^{51} +(1.74958 + 3.83104i) q^{52} +(-5.48005 - 6.32431i) q^{53} +(-4.12670 + 3.15758i) q^{54} +(-5.54817 - 1.62909i) q^{55} +(-1.67822 + 1.93677i) q^{56} +(-2.28437 + 0.281269i) q^{57} +(-8.37738 - 5.38382i) q^{58} +(2.63681 + 2.28481i) q^{59} +(-0.687409 - 1.58980i) q^{60} +(0.891151 - 0.128128i) q^{61} +(-5.67164 + 4.91451i) q^{62} +(1.86497 + 7.45851i) q^{63} +(0.959493 - 0.281733i) q^{64} +(-1.74958 + 3.83104i) q^{65} +(-5.24269 - 8.53361i) q^{66} +(7.82353 + 12.1736i) q^{67} -2.46669 q^{68} +(3.60714 - 7.48255i) q^{69} -2.56271 q^{70} +(4.57179 + 7.11385i) q^{71} +(0.961271 - 2.84182i) q^{72} +(4.76049 - 10.4240i) q^{73} +(2.83250 - 0.831698i) q^{74} +(0.751335 - 1.56061i) q^{75} +(1.00427 - 0.870206i) q^{76} +(-14.6678 + 2.10891i) q^{77} +(-6.69567 + 2.89512i) q^{78} +(2.10799 + 1.82658i) q^{79} +(0.841254 + 0.540641i) q^{80} +(-5.32296 - 7.25714i) q^{81} +(6.65319 - 7.67819i) q^{82} +(-8.68171 - 2.54918i) q^{83} +(-3.29492 - 2.97422i) q^{84} +(-1.61534 - 1.86420i) q^{85} +(3.70793 + 8.11923i) q^{86} +(9.61749 - 14.3179i) q^{87} +(5.25985 + 2.40209i) q^{88} +(-1.22184 + 8.49808i) q^{89} +(2.77720 - 1.13452i) q^{90} +10.7932i q^{91} +(0.680064 + 4.74737i) q^{92} +(-8.31113 - 9.99424i) q^{93} +(1.30254 - 0.837094i) q^{94} +(1.31532 + 0.189114i) q^{95} +(0.454160 + 1.67145i) q^{96} +(-1.63510 - 5.56864i) q^{97} +(0.393416 - 0.179667i) q^{98} +(14.9618 - 8.77888i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 160q + 16q^{4} - 16q^{5} - 2q^{6} + 42q^{9} + O(q^{10}) \) \( 160q + 16q^{4} - 16q^{5} - 2q^{6} + 42q^{9} - 12q^{11} - 12q^{14} - 16q^{16} - 8q^{18} + 16q^{20} + 62q^{21} + 4q^{23} + 2q^{24} - 16q^{25} + 42q^{27} - 2q^{30} - 4q^{31} + 16q^{33} + 2q^{36} + 72q^{38} - 124q^{39} + 44q^{41} + 44q^{43} + 12q^{44} - 2q^{45} + 4q^{46} + 70q^{49} - 2q^{51} - 52q^{53} + 92q^{54} + 10q^{55} - 54q^{56} - 38q^{57} - 36q^{58} - 44q^{61} - 220q^{63} + 16q^{64} - 34q^{66} - 44q^{67} + 22q^{69} - 12q^{70} - 36q^{72} - 28q^{73} - 24q^{74} - 88q^{77} - 54q^{78} - 44q^{79} - 16q^{80} - 66q^{81} - 28q^{82} + 4q^{83} - 18q^{84} + 158q^{86} - 64q^{87} + 80q^{89} - 8q^{90} - 4q^{92} + 4q^{93} + 24q^{94} - 2q^{96} - 88q^{98} + 190q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).

\(n\) \(277\) \(461\) \(511\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{9}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.540641 0.841254i −0.382291 0.594856i
\(3\) 1.47579 0.906664i 0.852048 0.523463i
\(4\) −0.415415 + 0.909632i −0.207708 + 0.454816i
\(5\) −0.959493 + 0.281733i −0.429098 + 0.125995i
\(6\) −1.56061 0.751335i −0.637115 0.306731i
\(7\) −1.93677 + 1.67822i −0.732030 + 0.634308i −0.938951 0.344050i \(-0.888201\pi\)
0.206921 + 0.978358i \(0.433656\pi\)
\(8\) 0.989821 0.142315i 0.349955 0.0503159i
\(9\) 1.35592 2.67609i 0.451973 0.892031i
\(10\) 0.755750 + 0.654861i 0.238989 + 0.207085i
\(11\) 4.86446 + 3.12620i 1.46669 + 0.942585i 0.998253 + 0.0590884i \(0.0188194\pi\)
0.468438 + 0.883496i \(0.344817\pi\)
\(12\) 0.211665 + 1.71907i 0.0611024 + 0.496252i
\(13\) 2.75804 3.18294i 0.764941 0.882789i −0.230985 0.972957i \(-0.574195\pi\)
0.995927 + 0.0901679i \(0.0287404\pi\)
\(14\) 2.45891 + 0.722000i 0.657170 + 0.192963i
\(15\) −1.16057 + 1.28572i −0.299659 + 0.331971i
\(16\) −0.654861 0.755750i −0.163715 0.188937i
\(17\) 1.02470 + 2.24378i 0.248526 + 0.544197i 0.992245 0.124296i \(-0.0396671\pi\)
−0.743719 + 0.668493i \(0.766940\pi\)
\(18\) −2.98434 + 0.306134i −0.703416 + 0.0721564i
\(19\) −1.20876 0.552021i −0.277308 0.126642i 0.271907 0.962324i \(-0.412346\pi\)
−0.549215 + 0.835681i \(0.685073\pi\)
\(20\) 0.142315 0.989821i 0.0318226 0.221331i
\(21\) −1.33669 + 4.23270i −0.291689 + 0.923651i
\(22\) 5.78240i 1.23281i
\(23\) 4.03585 2.59074i 0.841533 0.540206i
\(24\) 1.33174 1.10746i 0.271840 0.226060i
\(25\) 0.841254 0.540641i 0.168251 0.108128i
\(26\) −4.16877 0.599378i −0.817563 0.117548i
\(27\) −0.425265 5.17872i −0.0818422 0.996645i
\(28\) −0.722000 2.45891i −0.136445 0.464689i
\(29\) 9.05831 4.13679i 1.68209 0.768183i 0.682791 0.730613i \(-0.260766\pi\)
0.999294 0.0375693i \(-0.0119615\pi\)
\(30\) 1.70907 + 0.281227i 0.312032 + 0.0513447i
\(31\) −1.06802 7.42827i −0.191823 1.33416i −0.827179 0.561938i \(-0.810056\pi\)
0.635356 0.772219i \(-0.280853\pi\)
\(32\) −0.281733 + 0.959493i −0.0498038 + 0.169616i
\(33\) 10.0133 + 0.203185i 1.74310 + 0.0353699i
\(34\) 1.33359 2.07511i 0.228709 0.355879i
\(35\) 1.38551 2.15589i 0.234193 0.364412i
\(36\) 1.87099 + 2.34508i 0.311832 + 0.390846i
\(37\) −0.831698 + 2.83250i −0.136730 + 0.465661i −0.999180 0.0404815i \(-0.987111\pi\)
0.862450 + 0.506142i \(0.168929\pi\)
\(38\) 0.189114 + 1.31532i 0.0306783 + 0.213372i
\(39\) 1.18442 7.19797i 0.189660 1.15260i
\(40\) −0.909632 + 0.415415i −0.143825 + 0.0656829i
\(41\) 2.86232 + 9.74816i 0.447019 + 1.52241i 0.807630 + 0.589690i \(0.200750\pi\)
−0.360611 + 0.932716i \(0.617432\pi\)
\(42\) 4.28344 1.16388i 0.660950 0.179591i
\(43\) −8.83499 1.27028i −1.34732 0.193716i −0.569392 0.822066i \(-0.692821\pi\)
−0.777931 + 0.628350i \(0.783731\pi\)
\(44\) −4.86446 + 3.12620i −0.733345 + 0.471292i
\(45\) −0.547053 + 2.94970i −0.0815498 + 0.439715i
\(46\) −4.36141 1.99452i −0.643055 0.294075i
\(47\) 1.54834i 0.225848i 0.993604 + 0.112924i \(0.0360217\pi\)
−0.993604 + 0.112924i \(0.963978\pi\)
\(48\) −1.65165 0.521590i −0.238395 0.0752850i
\(49\) −0.0615513 + 0.428098i −0.00879304 + 0.0611569i
\(50\) −0.909632 0.415415i −0.128641 0.0587486i
\(51\) 3.54660 + 2.38229i 0.496623 + 0.333588i
\(52\) 1.74958 + 3.83104i 0.242623 + 0.531270i
\(53\) −5.48005 6.32431i −0.752742 0.868711i 0.242089 0.970254i \(-0.422167\pi\)
−0.994831 + 0.101543i \(0.967622\pi\)
\(54\) −4.12670 + 3.15758i −0.561573 + 0.429693i
\(55\) −5.54817 1.62909i −0.748115 0.219666i
\(56\) −1.67822 + 1.93677i −0.224262 + 0.258812i
\(57\) −2.28437 + 0.281269i −0.302572 + 0.0372550i
\(58\) −8.37738 5.38382i −1.10000 0.706930i
\(59\) 2.63681 + 2.28481i 0.343284 + 0.297457i 0.809390 0.587272i \(-0.199798\pi\)
−0.466106 + 0.884729i \(0.654343\pi\)
\(60\) −0.687409 1.58980i −0.0887441 0.205243i
\(61\) 0.891151 0.128128i 0.114100 0.0164051i −0.0850282 0.996379i \(-0.527098\pi\)
0.199128 + 0.979973i \(0.436189\pi\)
\(62\) −5.67164 + 4.91451i −0.720299 + 0.624143i
\(63\) 1.86497 + 7.45851i 0.234964 + 0.939684i
\(64\) 0.959493 0.281733i 0.119937 0.0352166i
\(65\) −1.74958 + 3.83104i −0.217008 + 0.475182i
\(66\) −5.24269 8.53361i −0.645331 1.05042i
\(67\) 7.82353 + 12.1736i 0.955796 + 1.48725i 0.871257 + 0.490827i \(0.163305\pi\)
0.0845390 + 0.996420i \(0.473058\pi\)
\(68\) −2.46669 −0.299130
\(69\) 3.60714 7.48255i 0.434249 0.900793i
\(70\) −2.56271 −0.306303
\(71\) 4.57179 + 7.11385i 0.542572 + 0.844258i 0.998963 0.0455208i \(-0.0144947\pi\)
−0.456392 + 0.889779i \(0.650858\pi\)
\(72\) 0.961271 2.84182i 0.113287 0.334912i
\(73\) 4.76049 10.4240i 0.557173 1.22004i −0.396178 0.918174i \(-0.629664\pi\)
0.953351 0.301865i \(-0.0976091\pi\)
\(74\) 2.83250 0.831698i 0.329272 0.0966830i
\(75\) 0.751335 1.56061i 0.0867567 0.180203i
\(76\) 1.00427 0.870206i 0.115198 0.0998195i
\(77\) −14.6678 + 2.10891i −1.67155 + 0.240333i
\(78\) −6.69567 + 2.89512i −0.758135 + 0.327807i
\(79\) 2.10799 + 1.82658i 0.237167 + 0.205507i 0.765333 0.643635i \(-0.222574\pi\)
−0.528165 + 0.849142i \(0.677120\pi\)
\(80\) 0.841254 + 0.540641i 0.0940550 + 0.0604455i
\(81\) −5.32296 7.25714i −0.591440 0.806349i
\(82\) 6.65319 7.67819i 0.734721 0.847914i
\(83\) −8.68171 2.54918i −0.952941 0.279809i −0.231930 0.972732i \(-0.574504\pi\)
−0.721011 + 0.692924i \(0.756322\pi\)
\(84\) −3.29492 2.97422i −0.359506 0.324514i
\(85\) −1.61534 1.86420i −0.175208 0.202201i
\(86\) 3.70793 + 8.11923i 0.399836 + 0.875519i
\(87\) 9.61749 14.3179i 1.03110 1.53504i
\(88\) 5.25985 + 2.40209i 0.560702 + 0.256064i
\(89\) −1.22184 + 8.49808i −0.129515 + 0.900794i 0.816656 + 0.577125i \(0.195826\pi\)
−0.946170 + 0.323669i \(0.895084\pi\)
\(90\) 2.77720 1.13452i 0.292743 0.119589i
\(91\) 10.7932i 1.13144i
\(92\) 0.680064 + 4.74737i 0.0709016 + 0.494947i
\(93\) −8.31113 9.99424i −0.861824 1.03635i
\(94\) 1.30254 0.837094i 0.134347 0.0863397i
\(95\) 1.31532 + 0.189114i 0.134949 + 0.0194027i
\(96\) 0.454160 + 1.67145i 0.0463525 + 0.170591i
\(97\) −1.63510 5.56864i −0.166019 0.565409i −0.999909 0.0134787i \(-0.995709\pi\)
0.833890 0.551931i \(-0.186109\pi\)
\(98\) 0.393416 0.179667i 0.0397411 0.0181491i
\(99\) 14.9618 8.77888i 1.50372 0.882311i
\(100\) 0.142315 + 0.989821i 0.0142315 + 0.0989821i
\(101\) 5.23999 17.8458i 0.521398 1.77572i −0.103076 0.994674i \(-0.532868\pi\)
0.624474 0.781046i \(-0.285313\pi\)
\(102\) 0.0866758 4.27156i 0.00858218 0.422947i
\(103\) −6.19308 + 9.63662i −0.610222 + 0.949524i 0.389373 + 0.921080i \(0.372692\pi\)
−0.999595 + 0.0284440i \(0.990945\pi\)
\(104\) 2.27698 3.54305i 0.223277 0.347425i
\(105\) 0.0900499 4.43784i 0.00878797 0.433088i
\(106\) −2.35761 + 8.02929i −0.228992 + 0.779873i
\(107\) −2.24434 15.6098i −0.216969 1.50905i −0.749138 0.662414i \(-0.769532\pi\)
0.532169 0.846638i \(-0.321377\pi\)
\(108\) 4.88739 + 1.76448i 0.470289 + 0.169788i
\(109\) 0.323080 0.147546i 0.0309454 0.0141323i −0.399882 0.916567i \(-0.630949\pi\)
0.430828 + 0.902434i \(0.358222\pi\)
\(110\) 1.62909 + 5.54817i 0.155328 + 0.528997i
\(111\) 1.34072 + 4.93426i 0.127255 + 0.468339i
\(112\) 2.53663 + 0.364712i 0.239689 + 0.0344621i
\(113\) −14.4028 + 9.25609i −1.35490 + 0.870740i −0.997988 0.0633992i \(-0.979806\pi\)
−0.356909 + 0.934139i \(0.616170\pi\)
\(114\) 1.47164 + 1.76967i 0.137832 + 0.165745i
\(115\) −3.14247 + 3.62282i −0.293037 + 0.337830i
\(116\) 9.95821i 0.924597i
\(117\) −4.77818 11.6966i −0.441743 1.08135i
\(118\) 0.496537 3.45349i 0.0457099 0.317920i
\(119\) −5.75017 2.62601i −0.527117 0.240726i
\(120\) −0.965785 + 1.43780i −0.0881637 + 0.131252i
\(121\) 9.32030 + 20.4086i 0.847300 + 1.85533i
\(122\) −0.589581 0.680412i −0.0533781 0.0616016i
\(123\) 13.0625 + 11.7911i 1.17780 + 1.06317i
\(124\) 7.20067 + 2.11431i 0.646639 + 0.189870i
\(125\) −0.654861 + 0.755750i −0.0585725 + 0.0675963i
\(126\) 5.26622 5.60129i 0.469152 0.499003i
\(127\) −3.31134 2.12807i −0.293834 0.188836i 0.385415 0.922743i \(-0.374058\pi\)
−0.679250 + 0.733907i \(0.737695\pi\)
\(128\) −0.755750 0.654861i −0.0667995 0.0578821i
\(129\) −14.1903 + 6.13570i −1.24939 + 0.540218i
\(130\) 4.16877 0.599378i 0.365625 0.0525690i
\(131\) −14.6769 + 12.7176i −1.28232 + 1.11114i −0.294485 + 0.955656i \(0.595148\pi\)
−0.987838 + 0.155483i \(0.950306\pi\)
\(132\) −4.34452 + 9.02405i −0.378142 + 0.785443i
\(133\) 3.26750 0.959424i 0.283328 0.0831926i
\(134\) 6.01140 13.1631i 0.519306 1.13712i
\(135\) 1.86705 + 4.84914i 0.160690 + 0.417347i
\(136\) 1.33359 + 2.07511i 0.114355 + 0.177939i
\(137\) 14.7205 1.25766 0.628830 0.777543i \(-0.283534\pi\)
0.628830 + 0.777543i \(0.283534\pi\)
\(138\) −8.24489 + 1.01085i −0.701852 + 0.0860491i
\(139\) −6.38665 −0.541708 −0.270854 0.962620i \(-0.587306\pi\)
−0.270854 + 0.962620i \(0.587306\pi\)
\(140\) 1.38551 + 2.15589i 0.117097 + 0.182206i
\(141\) 1.40382 + 2.28502i 0.118223 + 0.192434i
\(142\) 3.51285 7.69207i 0.294792 0.645504i
\(143\) 23.3669 6.86113i 1.95404 0.573757i
\(144\) −2.91040 + 0.727733i −0.242533 + 0.0606444i
\(145\) −7.52591 + 6.52124i −0.624993 + 0.541560i
\(146\) −11.3430 + 1.63087i −0.938750 + 0.134972i
\(147\) 0.297305 + 0.687590i 0.0245213 + 0.0567115i
\(148\) −2.23104 1.93320i −0.183390 0.158908i
\(149\) −1.91294 1.22937i −0.156714 0.100714i 0.459934 0.887953i \(-0.347873\pi\)
−0.616647 + 0.787239i \(0.711510\pi\)
\(150\) −1.71907 + 0.211665i −0.140361 + 0.0172824i
\(151\) −4.24042 + 4.89370i −0.345080 + 0.398244i −0.901586 0.432600i \(-0.857596\pi\)
0.556506 + 0.830844i \(0.312142\pi\)
\(152\) −1.27501 0.374378i −0.103417 0.0303661i
\(153\) 7.39398 + 0.300192i 0.597768 + 0.0242691i
\(154\) 9.70414 + 11.1992i 0.781982 + 0.902455i
\(155\) 3.11755 + 6.82648i 0.250408 + 0.548316i
\(156\) 6.05548 + 4.06754i 0.484826 + 0.325663i
\(157\) 2.74720 + 1.25461i 0.219251 + 0.100128i 0.522012 0.852938i \(-0.325181\pi\)
−0.302762 + 0.953066i \(0.597909\pi\)
\(158\) 0.396955 2.76088i 0.0315800 0.219644i
\(159\) −13.8214 4.36480i −1.09611 0.346151i
\(160\) 1.00000i 0.0790569i
\(161\) −3.46868 + 11.7907i −0.273371 + 0.929238i
\(162\) −3.22728 + 8.40147i −0.253559 + 0.660082i
\(163\) 11.1826 7.18665i 0.875892 0.562902i −0.0236576 0.999720i \(-0.507531\pi\)
0.899550 + 0.436818i \(0.143895\pi\)
\(164\) −10.0563 1.44588i −0.785264 0.112904i
\(165\) −9.66498 + 2.62613i −0.752418 + 0.204444i
\(166\) 2.54918 + 8.68171i 0.197855 + 0.673831i
\(167\) −4.11619 + 1.87980i −0.318521 + 0.145464i −0.568259 0.822850i \(-0.692383\pi\)
0.249738 + 0.968313i \(0.419655\pi\)
\(168\) −0.720703 + 4.37985i −0.0556035 + 0.337913i
\(169\) −0.674271 4.68966i −0.0518670 0.360743i
\(170\) −0.694947 + 2.36677i −0.0533000 + 0.181523i
\(171\) −3.11624 + 2.48625i −0.238305 + 0.190128i
\(172\) 4.82567 7.50889i 0.367954 0.572548i
\(173\) −1.23651 + 1.92405i −0.0940103 + 0.146283i −0.885073 0.465452i \(-0.845892\pi\)
0.791063 + 0.611735i \(0.209528\pi\)
\(174\) −17.2446 0.349916i −1.30731 0.0265271i
\(175\) −0.722000 + 2.45891i −0.0545781 + 0.185876i
\(176\) −0.822921 5.72354i −0.0620300 0.431428i
\(177\) 5.96294 + 0.981200i 0.448202 + 0.0737515i
\(178\) 7.80961 3.56653i 0.585355 0.267323i
\(179\) 6.78351 + 23.1025i 0.507023 + 1.72676i 0.672080 + 0.740479i \(0.265401\pi\)
−0.165057 + 0.986284i \(0.552781\pi\)
\(180\) −2.45589 1.72297i −0.183051 0.128422i
\(181\) −19.4357 2.79443i −1.44464 0.207708i −0.625018 0.780611i \(-0.714908\pi\)
−0.819624 + 0.572902i \(0.805817\pi\)
\(182\) 9.07983 5.83525i 0.673042 0.432538i
\(183\) 1.19898 0.997065i 0.0886314 0.0737051i
\(184\) 3.62607 3.13873i 0.267317 0.231390i
\(185\) 2.95208i 0.217042i
\(186\) −3.91435 + 12.3951i −0.287014 + 0.908850i
\(187\) −2.02989 + 14.1182i −0.148440 + 1.03243i
\(188\) −1.40842 0.643203i −0.102719 0.0469104i
\(189\) 9.51467 + 9.31630i 0.692091 + 0.677661i
\(190\) −0.552021 1.20876i −0.0400478 0.0876925i
\(191\) −4.30392 4.96699i −0.311421 0.359399i 0.578364 0.815779i \(-0.303691\pi\)
−0.889785 + 0.456380i \(0.849146\pi\)
\(192\) 1.16057 1.28572i 0.0837573 0.0927886i
\(193\) −11.4095 3.35015i −0.821277 0.241149i −0.156011 0.987755i \(-0.549864\pi\)
−0.665266 + 0.746606i \(0.731682\pi\)
\(194\) −3.80063 + 4.38616i −0.272870 + 0.314908i
\(195\) 0.891456 + 7.24009i 0.0638385 + 0.518474i
\(196\) −0.363843 0.233828i −0.0259888 0.0167020i
\(197\) −16.4851 14.2844i −1.17451 1.01772i −0.999450 0.0331654i \(-0.989441\pi\)
−0.175064 0.984557i \(-0.556013\pi\)
\(198\) −15.4742 7.84047i −1.09971 0.557198i
\(199\) 2.48112 0.356731i 0.175882 0.0252880i −0.0538111 0.998551i \(-0.517137\pi\)
0.229693 + 0.973263i \(0.426228\pi\)
\(200\) 0.755750 0.654861i 0.0534396 0.0463056i
\(201\) 22.5833 + 10.8724i 1.59290 + 0.766883i
\(202\) −17.8458 + 5.23999i −1.25562 + 0.368684i
\(203\) −10.6014 + 23.2138i −0.744073 + 1.62929i
\(204\) −3.64032 + 2.23646i −0.254873 + 0.156584i
\(205\) −5.49275 8.54688i −0.383630 0.596940i
\(206\) 11.4551 0.798112
\(207\) −1.46077 14.3131i −0.101530 0.994832i
\(208\) −4.21164 −0.292024
\(209\) −4.15423 6.46410i −0.287354 0.447131i
\(210\) −3.78203 + 2.32352i −0.260985 + 0.160338i
\(211\) −5.75935 + 12.6112i −0.396490 + 0.868192i 0.601124 + 0.799156i \(0.294720\pi\)
−0.997614 + 0.0690366i \(0.978007\pi\)
\(212\) 8.02929 2.35761i 0.551454 0.161921i
\(213\) 13.1969 + 6.35347i 0.904235 + 0.435333i
\(214\) −11.9184 + 10.3273i −0.814724 + 0.705962i
\(215\) 8.83499 1.27028i 0.602541 0.0866323i
\(216\) −1.15794 5.06549i −0.0787882 0.344663i
\(217\) 14.5348 + 12.5945i 0.986686 + 0.854969i
\(218\) −0.298793 0.192023i −0.0202368 0.0130054i
\(219\) −2.42560 19.6998i −0.163907 1.33119i
\(220\) 3.78667 4.37004i 0.255297 0.294628i
\(221\) 9.96799 + 2.92687i 0.670519 + 0.196882i
\(222\) 3.42611 3.79554i 0.229946 0.254740i
\(223\) −1.34766 1.55529i −0.0902463 0.104150i 0.708830 0.705379i \(-0.249223\pi\)
−0.799076 + 0.601229i \(0.794678\pi\)
\(224\) −1.06459 2.33113i −0.0711309 0.155755i
\(225\) −0.306134 2.98434i −0.0204089 0.198956i
\(226\) 15.5734 + 7.11215i 1.03593 + 0.473093i
\(227\) −0.0999327 + 0.695047i −0.00663276 + 0.0461319i −0.992869 0.119210i \(-0.961964\pi\)
0.986236 + 0.165342i \(0.0528728\pi\)
\(228\) 0.693110 2.19478i 0.0459024 0.145353i
\(229\) 13.2875i 0.878063i −0.898472 0.439032i \(-0.855322\pi\)
0.898472 0.439032i \(-0.144678\pi\)
\(230\) 4.74666 + 0.684972i 0.312986 + 0.0451657i
\(231\) −19.7345 + 16.4111i −1.29844 + 1.07977i
\(232\) 8.37738 5.38382i 0.550002 0.353465i
\(233\) 8.03888 + 1.15582i 0.526645 + 0.0757201i 0.400509 0.916293i \(-0.368833\pi\)
0.126136 + 0.992013i \(0.459742\pi\)
\(234\) −7.25651 + 10.3433i −0.474373 + 0.676163i
\(235\) −0.436217 1.48562i −0.0284557 0.0969111i
\(236\) −3.17371 + 1.44938i −0.206591 + 0.0943469i
\(237\) 4.76705 + 0.784417i 0.309653 + 0.0509534i
\(238\) 0.899632 + 6.25708i 0.0583145 + 0.405586i
\(239\) −4.21113 + 14.3418i −0.272395 + 0.927693i 0.703727 + 0.710471i \(0.251518\pi\)
−0.976122 + 0.217223i \(0.930300\pi\)
\(240\) 1.73169 + 0.0351385i 0.111780 + 0.00226818i
\(241\) 0.330605 0.514431i 0.0212961 0.0331374i −0.830442 0.557105i \(-0.811912\pi\)
0.851738 + 0.523967i \(0.175549\pi\)
\(242\) 12.1299 18.8745i 0.779738 1.21330i
\(243\) −14.4354 5.88388i −0.926029 0.377451i
\(244\) −0.253648 + 0.863845i −0.0162381 + 0.0553020i
\(245\) −0.0615513 0.428098i −0.00393237 0.0273502i
\(246\) 2.85718 17.3636i 0.182167 1.10706i
\(247\) −5.09085 + 2.32491i −0.323923 + 0.147931i
\(248\) −2.11431 7.20067i −0.134259 0.457243i
\(249\) −15.1236 + 4.10934i −0.958422 + 0.260419i
\(250\) 0.989821 + 0.142315i 0.0626018 + 0.00900078i
\(251\) 6.85669 4.40653i 0.432790 0.278138i −0.306053 0.952014i \(-0.599009\pi\)
0.738844 + 0.673877i \(0.235372\pi\)
\(252\) −7.55924 1.40194i −0.476187 0.0883139i
\(253\) 27.7314 + 0.0143353i 1.74346 + 0.000901254i
\(254\) 3.93620i 0.246979i
\(255\) −4.07411 1.28660i −0.255131 0.0805701i
\(256\) −0.142315 + 0.989821i −0.00889468 + 0.0618638i
\(257\) −3.38402 1.54543i −0.211089 0.0964012i 0.307065 0.951689i \(-0.400653\pi\)
−0.518154 + 0.855287i \(0.673381\pi\)
\(258\) 12.8335 + 8.62044i 0.798982 + 0.536685i
\(259\) −3.14276 6.88168i −0.195282 0.427607i
\(260\) −2.75804 3.18294i −0.171046 0.197398i
\(261\) 1.21190 29.8500i 0.0750145 1.84767i
\(262\) 18.6336 + 5.47132i 1.15119 + 0.338019i
\(263\) −5.80137 + 6.69514i −0.357728 + 0.412840i −0.905877 0.423541i \(-0.860787\pi\)
0.548149 + 0.836381i \(0.315333\pi\)
\(264\) 9.94034 1.22393i 0.611786 0.0753278i
\(265\) 7.03983 + 4.52422i 0.432453 + 0.277921i
\(266\) −2.57366 2.23009i −0.157801 0.136736i
\(267\) 5.90172 + 13.6492i 0.361180 + 0.835317i
\(268\) −14.3235 + 2.05942i −0.874950 + 0.125799i
\(269\) 1.40427 1.21680i 0.0856196 0.0741898i −0.610999 0.791631i \(-0.709232\pi\)
0.696619 + 0.717441i \(0.254687\pi\)
\(270\) 3.06995 4.19231i 0.186831 0.255136i
\(271\) −26.9474 + 7.91249i −1.63694 + 0.480649i −0.965499 0.260408i \(-0.916143\pi\)
−0.671442 + 0.741057i \(0.734325\pi\)
\(272\) 1.02470 2.24378i 0.0621316 0.136049i
\(273\) 9.78582 + 15.9285i 0.592265 + 0.964039i
\(274\) −7.95853 12.3837i −0.480792 0.748127i
\(275\) 5.78240 0.348692
\(276\) 5.30790 + 6.38954i 0.319498 + 0.384605i
\(277\) −12.6601 −0.760674 −0.380337 0.924848i \(-0.624192\pi\)
−0.380337 + 0.924848i \(0.624192\pi\)
\(278\) 3.45288 + 5.37279i 0.207090 + 0.322238i
\(279\) −21.3269 7.21401i −1.27681 0.431891i
\(280\) 1.06459 2.33113i 0.0636214 0.139311i
\(281\) −7.07815 + 2.07833i −0.422247 + 0.123983i −0.485951 0.873986i \(-0.661527\pi\)
0.0637043 + 0.997969i \(0.479709\pi\)
\(282\) 1.16332 2.41635i 0.0692747 0.143891i
\(283\) −3.58601 + 3.10729i −0.213166 + 0.184709i −0.754899 0.655841i \(-0.772314\pi\)
0.541733 + 0.840551i \(0.317769\pi\)
\(284\) −8.37017 + 1.20345i −0.496678 + 0.0714116i
\(285\) 2.11260 0.913458i 0.125139 0.0541086i
\(286\) −18.4050 15.9481i −1.08831 0.943028i
\(287\) −21.9032 14.0763i −1.29291 0.830900i
\(288\) 2.18569 + 2.05494i 0.128793 + 0.121088i
\(289\) 7.14809 8.24934i 0.420476 0.485255i
\(290\) 9.55483 + 2.80555i 0.561079 + 0.164748i
\(291\) −7.46195 6.73566i −0.437427 0.394851i
\(292\) 7.50444 + 8.66058i 0.439164 + 0.506822i
\(293\) −4.46524 9.77751i −0.260862 0.571208i 0.733201 0.680012i \(-0.238025\pi\)
−0.994063 + 0.108803i \(0.965298\pi\)
\(294\) 0.417703 0.621848i 0.0243609 0.0362669i
\(295\) −3.17371 1.44938i −0.184780 0.0843864i
\(296\) −0.420125 + 2.92204i −0.0244193 + 0.169840i
\(297\) 14.1210 26.5212i 0.819386 1.53891i
\(298\) 2.27391i 0.131724i
\(299\) 2.88485 19.9912i 0.166835 1.15612i
\(300\) 1.10746 + 1.33174i 0.0639394 + 0.0768879i
\(301\) 19.2431 12.3668i 1.10916 0.712812i
\(302\) 6.40938 + 0.921530i 0.368819 + 0.0530281i
\(303\) −8.44698 31.0875i −0.485266 1.78593i
\(304\) 0.374378 + 1.27501i 0.0214721 + 0.0731271i
\(305\) −0.818955 + 0.374004i −0.0468932 + 0.0214154i
\(306\) −3.74495 6.38251i −0.214085 0.364864i
\(307\) −0.433913 3.01793i −0.0247647 0.172242i 0.973685 0.227896i \(-0.0731847\pi\)
−0.998450 + 0.0556539i \(0.982276\pi\)
\(308\) 4.17489 14.2184i 0.237886 0.810167i
\(309\) −0.402514 + 19.8367i −0.0228982 + 1.12847i
\(310\) 4.05733 6.31332i 0.230441 0.358573i
\(311\) −5.94289 + 9.24731i −0.336990 + 0.524367i −0.967849 0.251530i \(-0.919066\pi\)
0.630859 + 0.775897i \(0.282703\pi\)
\(312\) 0.147991 7.29327i 0.00837831 0.412900i
\(313\) 3.37499 11.4941i 0.190766 0.649688i −0.807448 0.589939i \(-0.799152\pi\)
0.998213 0.0597488i \(-0.0190300\pi\)
\(314\) −0.429809 2.98938i −0.0242555 0.168701i
\(315\) −3.89073 6.63096i −0.219218 0.373613i
\(316\) −2.53721 + 1.15870i −0.142729 + 0.0651822i
\(317\) 3.61922 + 12.3259i 0.203276 + 0.692294i 0.996517 + 0.0833866i \(0.0265736\pi\)
−0.793241 + 0.608907i \(0.791608\pi\)
\(318\) 3.80053 + 13.9871i 0.213123 + 0.784359i
\(319\) 56.9962 + 8.19482i 3.19118 + 0.458822i
\(320\) −0.841254 + 0.540641i −0.0470275 + 0.0302227i
\(321\) −17.4650 21.0019i −0.974801 1.17221i
\(322\) 11.7943 3.45649i 0.657270 0.192623i
\(323\) 3.27784i 0.182384i
\(324\) 8.81256 1.82721i 0.489587 0.101512i
\(325\) 0.599378 4.16877i 0.0332475 0.231242i
\(326\) −12.0916 5.52204i −0.669691 0.305838i
\(327\) 0.343024 0.510672i 0.0189693 0.0282402i
\(328\) 4.22049 + 9.24158i 0.233038 + 0.510281i
\(329\) −2.59845 2.99877i −0.143257 0.165328i
\(330\) 7.43452 + 6.71090i 0.409257 + 0.369423i
\(331\) −10.6216 3.11878i −0.583816 0.171424i −0.0235300 0.999723i \(-0.507491\pi\)
−0.560286 + 0.828299i \(0.689309\pi\)
\(332\) 5.92533 6.83819i 0.325195 0.375295i
\(333\) 6.45233 + 6.06635i 0.353586 + 0.332434i
\(334\) 3.80677 + 2.44646i 0.208297 + 0.133865i
\(335\) −10.9363 9.47638i −0.597516 0.517750i
\(336\) 4.07421 1.76163i 0.222266 0.0961049i
\(337\) −5.50374 + 0.791318i −0.299808 + 0.0431058i −0.290577 0.956852i \(-0.593847\pi\)
−0.00923052 + 0.999957i \(0.502938\pi\)
\(338\) −3.58065 + 3.10265i −0.194762 + 0.168762i
\(339\) −12.8633 + 26.7185i −0.698639 + 1.45115i
\(340\) 2.36677 0.694947i 0.128356 0.0376888i
\(341\) 18.0269 39.4734i 0.976212 2.13761i
\(342\) 3.77633 + 1.27738i 0.204201 + 0.0690726i
\(343\) −10.2978 16.0237i −0.556028 0.865197i
\(344\) −8.92584 −0.481249
\(345\) −1.35295 + 8.19570i −0.0728405 + 0.441242i
\(346\) 2.28712 0.122957
\(347\) 14.6361 + 22.7742i 0.785708 + 1.22259i 0.970806 + 0.239865i \(0.0771033\pi\)
−0.185098 + 0.982720i \(0.559260\pi\)
\(348\) 9.02875 + 14.6962i 0.483992 + 0.787801i
\(349\) −1.72610 + 3.77963i −0.0923960 + 0.202319i −0.950188 0.311679i \(-0.899109\pi\)
0.857792 + 0.513998i \(0.171836\pi\)
\(350\) 2.45891 0.722000i 0.131434 0.0385925i
\(351\) −17.6565 12.9295i −0.942432 0.690126i
\(352\) −4.37004 + 3.78667i −0.232924 + 0.201830i
\(353\) 3.63698 0.522919i 0.193577 0.0278321i −0.0448444 0.998994i \(-0.514279\pi\)
0.238421 + 0.971162i \(0.423370\pi\)
\(354\) −2.39837 5.54682i −0.127472 0.294810i
\(355\) −6.39080 5.53766i −0.339189 0.293909i
\(356\) −7.22255 4.64165i −0.382795 0.246007i
\(357\) −10.8670 + 1.33802i −0.575141 + 0.0708157i
\(358\) 15.7676 18.1968i 0.833345 0.961731i
\(359\) 18.5419 + 5.44439i 0.978603 + 0.287344i 0.731648 0.681683i \(-0.238752\pi\)
0.246955 + 0.969027i \(0.420570\pi\)
\(360\) −0.121698 + 2.99753i −0.00641406 + 0.157984i
\(361\) −11.2860 13.0247i −0.593999 0.685512i
\(362\) 8.15689 + 17.8611i 0.428717 + 0.938759i
\(363\) 32.2586 + 21.6685i 1.69314 + 1.13730i
\(364\) −9.81786 4.48366i −0.514595 0.235008i
\(365\) −1.63087 + 11.3430i −0.0853637 + 0.593717i
\(366\) −1.48700 0.469595i −0.0777269 0.0245461i
\(367\) 20.3602i 1.06279i −0.847124 0.531396i \(-0.821668\pi\)
0.847124 0.531396i \(-0.178332\pi\)
\(368\) −4.60087 1.35352i −0.239837 0.0705571i
\(369\) 29.9681 + 5.55789i 1.56007 + 0.289332i
\(370\) −2.48345 + 1.59602i −0.129109 + 0.0829730i
\(371\) 21.2272 + 3.05201i 1.10206 + 0.158452i
\(372\) 12.5437 3.40831i 0.650358 0.176713i
\(373\) 2.33776 + 7.96167i 0.121044 + 0.412240i 0.997614 0.0690352i \(-0.0219921\pi\)
−0.876570 + 0.481275i \(0.840174\pi\)
\(374\) 12.9744 5.92523i 0.670892 0.306386i
\(375\) −0.281227 + 1.70907i −0.0145225 + 0.0882559i
\(376\) 0.220351 + 1.53258i 0.0113638 + 0.0790366i
\(377\) 11.8160 40.2415i 0.608553 2.07254i
\(378\) 2.69335 13.0410i 0.138531 0.670758i
\(379\) 8.75631 13.6251i 0.449781 0.699874i −0.540127 0.841584i \(-0.681624\pi\)
0.989908 + 0.141710i \(0.0452601\pi\)
\(380\) −0.718426 + 1.11789i −0.0368545 + 0.0573467i
\(381\) −6.81630 0.138312i −0.349210 0.00708595i
\(382\) −1.85162 + 6.30605i −0.0947372 + 0.322645i
\(383\) −1.44592 10.0566i −0.0738832 0.513869i −0.992834 0.119498i \(-0.961872\pi\)
0.918951 0.394371i \(-0.129038\pi\)
\(384\) −1.70907 0.281227i −0.0872155 0.0143513i
\(385\) 13.4795 6.15588i 0.686979 0.313733i
\(386\) 3.35015 + 11.4095i 0.170518 + 0.580731i
\(387\) −15.3789 + 21.9209i −0.781755 + 1.11430i
\(388\) 5.74465 + 0.825957i 0.291641 + 0.0419316i
\(389\) 17.9718 11.5498i 0.911206 0.585596i 0.00111240 0.999999i \(-0.499646\pi\)
0.910094 + 0.414403i \(0.136010\pi\)
\(390\) 5.60880 4.66423i 0.284012 0.236182i
\(391\) 9.94858 + 6.40084i 0.503121 + 0.323704i
\(392\) 0.432501i 0.0218446i
\(393\) −10.1294 + 32.0755i −0.510961 + 1.61799i
\(394\) −3.10430 + 21.5909i −0.156392 + 1.08773i
\(395\) −2.53721 1.15870i −0.127661 0.0583008i
\(396\) 1.77019 + 17.2566i 0.0889552 + 0.867179i
\(397\) 0.334270 + 0.731949i 0.0167765 + 0.0367355i 0.917835 0.396963i \(-0.129936\pi\)
−0.901058 + 0.433698i \(0.857208\pi\)
\(398\) −1.64150 1.89439i −0.0822807 0.0949570i
\(399\) 3.95227 4.37843i 0.197861 0.219196i
\(400\) −0.959493 0.281733i −0.0479746 0.0140866i
\(401\) 9.60368 11.0832i 0.479585 0.553471i −0.463468 0.886114i \(-0.653395\pi\)
0.943053 + 0.332643i \(0.107940\pi\)
\(402\) −3.06297 24.8764i −0.152767 1.24072i
\(403\) −26.5894 17.0880i −1.32451 0.851213i
\(404\) 14.0563 + 12.1799i 0.699327 + 0.605970i
\(405\) 7.15192 + 5.46352i 0.355382 + 0.271485i
\(406\) 25.2603 3.63188i 1.25365 0.180247i
\(407\) −12.9007 + 11.1786i −0.639466 + 0.554101i
\(408\) 3.84954 + 1.85331i 0.190580 + 0.0917526i
\(409\) −17.7898 + 5.22354i −0.879647 + 0.258288i −0.690213 0.723606i \(-0.742483\pi\)
−0.189434 + 0.981894i \(0.560665\pi\)
\(410\) −4.22049 + 9.24158i −0.208435 + 0.456409i
\(411\) 21.7244 13.3466i 1.07159 0.658339i
\(412\) −6.19308 9.63662i −0.305111 0.474762i
\(413\) −8.94131 −0.439973
\(414\) −11.2512 + 8.96715i −0.552968 + 0.440711i
\(415\) 9.04822 0.444160
\(416\) 2.27698 + 3.54305i 0.111638 + 0.173713i
\(417\) −9.42536 + 5.79054i −0.461562 + 0.283564i
\(418\) −3.19200 + 6.98951i −0.156126 + 0.341868i
\(419\) 4.85132 1.42448i 0.237003 0.0695902i −0.161074 0.986942i \(-0.551496\pi\)
0.398077 + 0.917352i \(0.369678\pi\)
\(420\) 3.99939 + 1.92546i 0.195150 + 0.0939526i
\(421\) 21.8578 18.9399i 1.06529 0.923076i 0.0680731 0.997680i \(-0.478315\pi\)
0.997213 + 0.0746045i \(0.0237694\pi\)
\(422\) 13.7230 1.97307i 0.668024 0.0960474i
\(423\) 4.14350 + 2.09942i 0.201464 + 0.102077i
\(424\) −6.32431 5.48005i −0.307136 0.266135i
\(425\) 2.07511 + 1.33359i 0.100658 + 0.0646888i
\(426\) −1.78989 14.5369i −0.0867205 0.704314i
\(427\) −1.51093 + 1.74370i −0.0731188 + 0.0843836i
\(428\) 15.1315 + 4.44300i 0.731407 + 0.214761i
\(429\) 28.2639 31.3115i 1.36459 1.51173i
\(430\) −5.84518 6.74570i −0.281880 0.325307i
\(431\) 0.894471 + 1.95862i 0.0430852 + 0.0943433i 0.929951 0.367684i \(-0.119849\pi\)
−0.886865 + 0.462028i \(0.847122\pi\)
\(432\) −3.63533 + 3.71273i −0.174905 + 0.178629i
\(433\) −24.3569 11.1234i −1.17052 0.534558i −0.267248 0.963628i \(-0.586114\pi\)
−0.903272 + 0.429069i \(0.858842\pi\)
\(434\) 2.73704 19.0365i 0.131382 0.913783i
\(435\) −5.19410 + 16.4475i −0.249038 + 0.788596i
\(436\) 0.355177i 0.0170099i
\(437\) −6.30850 + 0.903698i −0.301777 + 0.0432297i
\(438\) −15.2612 + 12.6911i −0.729207 + 0.606403i
\(439\) −7.32089 + 4.70485i −0.349407 + 0.224550i −0.703558 0.710638i \(-0.748406\pi\)
0.354151 + 0.935188i \(0.384770\pi\)
\(440\) −5.72354 0.822921i −0.272859 0.0392312i
\(441\) 1.06217 + 0.745184i 0.0505797 + 0.0354850i
\(442\) −2.92687 9.96799i −0.139217 0.474129i
\(443\) −10.8529 + 4.95634i −0.515636 + 0.235483i −0.656198 0.754589i \(-0.727836\pi\)
0.140562 + 0.990072i \(0.455109\pi\)
\(444\) −5.04531 0.830205i −0.239440 0.0393998i
\(445\) −1.22184 8.49808i −0.0579207 0.402848i
\(446\) −0.579789 + 1.97458i −0.0274538 + 0.0934991i
\(447\) −3.93772 0.0799019i −0.186248 0.00377923i
\(448\) −1.38551 + 2.15589i −0.0654591 + 0.101856i
\(449\) 6.99131 10.8787i 0.329940 0.513397i −0.636162 0.771555i \(-0.719479\pi\)
0.966103 + 0.258158i \(0.0831155\pi\)
\(450\) −2.34508 + 1.87099i −0.110548 + 0.0881994i
\(451\) −16.5511 + 56.3677i −0.779359 + 2.65425i
\(452\) −2.43651 16.9463i −0.114604 0.797088i
\(453\) −1.82102 + 11.0667i −0.0855592 + 0.519960i
\(454\) 0.638738 0.291702i 0.0299775 0.0136903i
\(455\) −3.04080 10.3560i −0.142555 0.485497i
\(456\) −2.22109 + 0.603506i −0.104012 + 0.0282618i
\(457\) −38.6057 5.55066i −1.80590 0.259649i −0.844648 0.535323i \(-0.820190\pi\)
−0.961251 + 0.275674i \(0.911099\pi\)
\(458\) −11.1782 + 7.18377i −0.522321 + 0.335676i
\(459\) 11.1841 6.26084i 0.522031 0.292231i
\(460\) −1.99001 4.36347i −0.0927845 0.203448i
\(461\) 14.0773i 0.655645i 0.944739 + 0.327822i \(0.106315\pi\)
−0.944739 + 0.327822i \(0.893685\pi\)
\(462\) 24.4752 + 7.72924i 1.13869 + 0.359597i
\(463\) 4.59339 31.9478i 0.213473 1.48474i −0.547965 0.836501i \(-0.684597\pi\)
0.761438 0.648237i \(-0.224494\pi\)
\(464\) −9.05831 4.13679i −0.420521 0.192046i
\(465\) 10.7902 + 7.24789i 0.500382 + 0.336113i
\(466\) −3.37381 7.38762i −0.156289 0.342225i
\(467\) −8.99451 10.3802i −0.416216 0.480339i 0.508464 0.861083i \(-0.330213\pi\)
−0.924680 + 0.380744i \(0.875668\pi\)
\(468\) 12.6245 + 0.512549i 0.583568 + 0.0236926i
\(469\) −35.5824 10.4479i −1.64304 0.482441i
\(470\) −1.01395 + 1.17016i −0.0467698 + 0.0539752i
\(471\) 5.19180 0.639255i 0.239226 0.0294553i
\(472\) 2.93514 + 1.88630i 0.135101 + 0.0868239i
\(473\) −39.0063 33.7992i −1.79351 1.55409i
\(474\) −1.91737 4.43439i −0.0880677 0.203678i
\(475\) −1.31532 + 0.189114i −0.0603509 + 0.00867714i
\(476\) 4.77741 4.13965i 0.218972 0.189741i
\(477\) −24.3550 + 6.08986i −1.11514 + 0.278836i
\(478\) 14.3418 4.21113i 0.655978 0.192613i
\(479\) −6.02735 + 13.1981i −0.275397 + 0.603035i −0.995904 0.0904123i \(-0.971182\pi\)
0.720508 + 0.693447i \(0.243909\pi\)
\(480\) −0.906664 1.47579i −0.0413834 0.0673603i
\(481\) 6.72185 + 10.4594i 0.306490 + 0.476907i
\(482\) −0.611505 −0.0278533
\(483\) 5.57116 + 20.5456i 0.253496 + 0.934855i
\(484\) −22.4361 −1.01982
\(485\) 3.13773 + 4.88241i 0.142477 + 0.221699i
\(486\) 2.85451 + 15.3249i 0.129483 + 0.695150i
\(487\) −15.3077 + 33.5191i −0.693656 + 1.51890i 0.153841 + 0.988096i \(0.450836\pi\)
−0.847497 + 0.530800i \(0.821892\pi\)
\(488\) 0.863845 0.253648i 0.0391044 0.0114821i
\(489\) 9.98737 20.7449i 0.451644 0.938116i
\(490\) −0.326862 + 0.283228i −0.0147661 + 0.0127949i
\(491\) −24.3602 + 3.50247i −1.09936 + 0.158064i −0.668034 0.744131i \(-0.732864\pi\)
−0.431328 + 0.902195i \(0.641955\pi\)
\(492\) −16.1519 + 6.98386i −0.728184 + 0.314857i
\(493\) 18.5641 + 16.0859i 0.836085 + 0.724472i
\(494\) 4.70816 + 3.02575i 0.211830 + 0.136135i
\(495\) −11.8825 + 12.6385i −0.534077 + 0.568059i
\(496\) −4.91451 + 5.67164i −0.220668 + 0.254664i
\(497\) −20.7931 6.10541i −0.932698 0.273865i
\(498\) 11.6335 + 10.5011i 0.521307 + 0.470567i
\(499\) 5.53356 + 6.38607i 0.247716 + 0.285880i 0.865967 0.500101i \(-0.166704\pi\)
−0.618251 + 0.785981i \(0.712158\pi\)
\(500\) −0.415415 0.909632i −0.0185779 0.0406800i
\(501\) −4.37029 + 6.50620i −0.195250 + 0.290676i
\(502\) −7.41401 3.38587i −0.330904 0.151119i
\(503\) 0.533344 3.70949i 0.0237806 0.165398i −0.974470 0.224516i \(-0.927920\pi\)
0.998251 + 0.0591183i \(0.0188289\pi\)
\(504\) 2.90745 + 7.11718i 0.129508 + 0.317024i
\(505\) 18.5992i 0.827651i
\(506\) −14.9807 23.3369i −0.665972 1.03745i
\(507\) −5.24703 6.30962i −0.233029 0.280220i
\(508\) 3.31134 2.12807i 0.146917 0.0944179i
\(509\) 8.77011 + 1.26095i 0.388728 + 0.0558907i 0.333908 0.942606i \(-0.391632\pi\)
0.0548200 + 0.998496i \(0.482542\pi\)
\(510\) 1.12027 + 4.12295i 0.0496064 + 0.182567i
\(511\) 8.27383 + 28.1781i 0.366012 + 1.24652i
\(512\) 0.909632 0.415415i 0.0402004 0.0183589i
\(513\) −2.34472 + 6.49457i −0.103522 + 0.286742i
\(514\) 0.529440 + 3.68234i 0.0233526 + 0.162421i
\(515\) 3.22727 10.9911i 0.142210 0.484324i
\(516\) 0.313640 15.4568i 0.0138073 0.680449i
\(517\) −4.84041 + 7.53183i −0.212881 + 0.331249i
\(518\) −4.09014 + 6.36438i −0.179710 + 0.279635i
\(519\) −0.0803661 + 3.96060i −0.00352768 + 0.173851i
\(520\) −1.18656 + 4.04104i −0.0520339 + 0.177211i
\(521\) −4.25871 29.6200i −0.186577 1.29767i −0.840789 0.541363i \(-0.817909\pi\)
0.654212 0.756311i \(-0.273000\pi\)
\(522\) −25.7667 + 15.1186i −1.12778 + 0.661725i
\(523\) −18.9348 + 8.64722i −0.827960 + 0.378117i −0.783881 0.620911i \(-0.786763\pi\)
−0.0440791 + 0.999028i \(0.514035\pi\)
\(524\) −5.47132 18.6336i −0.239016 0.814013i
\(525\) 1.16388 + 4.28344i 0.0507959 + 0.186945i
\(526\) 8.76877 + 1.26076i 0.382336 + 0.0549717i
\(527\) 15.5730 10.0082i 0.678371 0.435963i
\(528\) −6.40379 7.70064i −0.278689 0.335127i
\(529\) 9.57617 20.9116i 0.416355 0.909202i
\(530\) 8.36826i 0.363494i
\(531\) 9.68968 3.95834i 0.420496 0.171777i
\(532\) −0.484645 + 3.37078i −0.0210120 + 0.146142i
\(533\) 38.9222 + 17.7752i 1.68591 + 0.769928i
\(534\) 8.29171 12.3442i 0.358818 0.534184i
\(535\) 6.55121 + 14.3451i 0.283234 + 0.620195i
\(536\) 9.47638 + 10.9363i 0.409317 + 0.472378i
\(537\) 30.9573 + 27.9441i 1.33590 + 1.20588i
\(538\) −1.78284 0.523490i −0.0768638 0.0225693i
\(539\) −1.63774 + 1.89005i −0.0705423 + 0.0814101i
\(540\) −5.18653 0.316073i −0.223193 0.0136016i
\(541\) 2.64126 + 1.69743i 0.113557 + 0.0729784i 0.596186 0.802846i \(-0.296682\pi\)
−0.482630 + 0.875824i \(0.660318\pi\)
\(542\) 21.2253 + 18.3918i 0.911705 + 0.789997i
\(543\) −31.2166 + 13.4976i −1.33963 + 0.579239i
\(544\) −2.44158 + 0.351047i −0.104682 + 0.0150510i
\(545\) −0.268424 + 0.232591i −0.0114980 + 0.00996311i
\(546\) 8.10932 16.8440i 0.347047 0.720856i
\(547\) 13.1059 3.84823i 0.560367 0.164538i 0.0107301 0.999942i \(-0.496584\pi\)
0.549636 + 0.835404i \(0.314766\pi\)
\(548\) −6.11513 + 13.3903i −0.261226 + 0.572004i
\(549\) 0.865446 2.55853i 0.0369363 0.109196i
\(550\) −3.12620 4.86446i −0.133302 0.207421i
\(551\) −13.2329 −0.563740
\(552\) 2.50555 7.91974i 0.106643 0.337086i
\(553\) −7.14810 −0.303968
\(554\) 6.84459 + 10.6504i 0.290799 + 0.452491i
\(555\) −2.67655 4.35666i −0.113613 0.184930i
\(556\) 2.65311 5.80950i 0.112517 0.246378i
\(557\) 0.741256 0.217652i 0.0314080 0.00922222i −0.265991 0.963976i \(-0.585699\pi\)
0.297399 + 0.954753i \(0.403881\pi\)
\(558\) 5.46139 + 21.8415i 0.231199 + 0.924626i
\(559\) −28.4104 + 24.6178i −1.20163 + 1.04122i
\(560\) −2.53663 + 0.364712i −0.107192 + 0.0154119i
\(561\) 9.80478 + 22.6760i 0.413958 + 0.957380i
\(562\) 5.57514 + 4.83089i 0.235173 + 0.203779i
\(563\) 29.4323 + 18.9150i 1.24042 + 0.797172i 0.985481 0.169784i \(-0.0543070\pi\)
0.254943 + 0.966956i \(0.417943\pi\)
\(564\) −2.66170 + 0.327729i −0.112078 + 0.0137999i
\(565\) 11.2116 12.9389i 0.471676 0.544343i
\(566\) 4.55276 + 1.33681i 0.191367 + 0.0561904i
\(567\) 22.4884 + 5.12230i 0.944425 + 0.215116i
\(568\) 5.53766 + 6.39080i 0.232355 + 0.268152i
\(569\) 10.8605 + 23.7812i 0.455297 + 0.996961i 0.988534 + 0.150995i \(0.0482478\pi\)
−0.533238 + 0.845965i \(0.679025\pi\)
\(570\) −1.91060 1.28338i −0.0800264 0.0537547i
\(571\) −8.65904 3.95445i −0.362369 0.165489i 0.225906 0.974149i \(-0.427466\pi\)
−0.588276 + 0.808660i \(0.700193\pi\)
\(572\) −3.46584 + 24.1055i −0.144914 + 1.00790i
\(573\) −10.8551 3.42803i −0.453478 0.143208i
\(574\) 26.0364i 1.08674i
\(575\) 1.99452 4.36141i 0.0831770 0.181883i
\(576\) 0.547053 2.94970i 0.0227939 0.122904i
\(577\) 5.62370 3.61413i 0.234118 0.150458i −0.418322 0.908299i \(-0.637382\pi\)
0.652440 + 0.757840i \(0.273745\pi\)
\(578\) −10.8043 1.55343i −0.449401 0.0646141i
\(579\) −19.8756 + 5.40051i −0.826001 + 0.224438i
\(580\) −2.80555 9.55483i −0.116494 0.396743i
\(581\) 21.0925 9.63264i 0.875066 0.399629i
\(582\) −1.63216 + 9.91896i −0.0676553 + 0.411154i
\(583\) −6.88642 47.8961i −0.285206 1.98365i
\(584\) 3.22854 10.9954i 0.133598 0.454993i
\(585\) 7.87994 + 9.87662i 0.325795 + 0.408348i
\(586\) −5.81128 + 9.04252i −0.240062 + 0.373543i
\(587\) −5.47855 + 8.52478i −0.226124 + 0.351856i −0.935714 0.352759i \(-0.885244\pi\)
0.709590 + 0.704614i \(0.248880\pi\)
\(588\) −0.748959 0.0151974i −0.0308865 0.000626731i
\(589\) −2.80958 + 9.56855i −0.115767 + 0.394265i
\(590\) 0.496537 + 3.45349i 0.0204421 + 0.142178i
\(591\) −37.2797 6.13437i −1.53348 0.252334i
\(592\) 2.68531 1.22634i 0.110366 0.0504023i
\(593\) 12.2671 + 41.7781i 0.503751 + 1.71562i 0.681746 + 0.731589i \(0.261221\pi\)
−0.177995 + 0.984031i \(0.556961\pi\)
\(594\) −29.9454 + 2.45905i −1.22868 + 0.100896i
\(595\) 6.25708 + 0.899632i 0.256515 + 0.0368813i
\(596\) 1.91294 1.22937i 0.0783570 0.0503570i
\(597\) 3.33818 2.77600i 0.136623 0.113614i
\(598\) −18.3774 + 8.38118i −0.751506 + 0.342732i
\(599\) 15.7761i 0.644595i 0.946638 + 0.322298i \(0.104455\pi\)
−0.946638 + 0.322298i \(0.895545\pi\)
\(600\) 0.521590 1.65165i 0.0212938 0.0674283i
\(601\) 6.84193 47.5867i 0.279088 1.94110i −0.0548210 0.998496i \(-0.517459\pi\)
0.333909 0.942605i \(-0.391632\pi\)
\(602\) −20.8073 9.50236i −0.848041 0.387287i
\(603\) 43.1859 4.43001i 1.75867 0.180404i
\(604\) −2.68993 5.89013i −0.109452 0.239666i
\(605\) −14.6925 16.9561i −0.597337 0.689363i
\(606\) −21.5857 + 23.9132i −0.876859 + 0.971409i
\(607\) 31.1060 + 9.13355i 1.26255 + 0.370719i 0.843444 0.537216i \(-0.180524\pi\)
0.419110 + 0.907936i \(0.362342\pi\)
\(608\) 0.870206 1.00427i 0.0352915 0.0407286i
\(609\) 5.40170 + 43.8707i 0.218888 + 1.77773i
\(610\) 0.757393 + 0.486747i 0.0306659 + 0.0197078i
\(611\) 4.92827 + 4.27037i 0.199376 + 0.172761i
\(612\) −3.34464 + 6.60110i −0.135199 + 0.266834i
\(613\) 5.51748 0.793294i 0.222849 0.0320408i −0.0299858 0.999550i \(-0.509546\pi\)
0.252835 + 0.967509i \(0.418637\pi\)
\(614\) −2.30425 + 1.99665i −0.0929921 + 0.0805781i
\(615\) −15.8553 7.63333i −0.639347 0.307806i
\(616\) −14.2184 + 4.17489i −0.572874 + 0.168211i
\(617\) −9.86851 + 21.6090i −0.397291 + 0.869946i 0.600247 + 0.799815i \(0.295069\pi\)
−0.997538 + 0.0701314i \(0.977658\pi\)
\(618\) 16.9053 10.3859i 0.680030 0.417782i
\(619\) 6.65486 + 10.3552i 0.267481 + 0.416209i 0.948848 0.315733i \(-0.102250\pi\)
−0.681367 + 0.731942i \(0.738614\pi\)
\(620\) −7.50466 −0.301394
\(621\) −15.1330 19.7988i −0.607267 0.794498i
\(622\) 10.9923 0.440751
\(623\) −11.8952 18.5093i −0.476572 0.741561i
\(624\) −6.21550 + 3.81854i −0.248819 + 0.152864i
\(625\) 0.415415 0.909632i 0.0166166 0.0363853i
\(626\) −11.4941 + 3.37499i −0.459399 + 0.134892i
\(627\) −11.9915 5.77318i −0.478896 0.230558i
\(628\) −2.28246 + 1.97776i −0.0910800 + 0.0789213i
\(629\) −7.20776 + 1.03632i −0.287392 + 0.0413208i
\(630\) −3.47483 + 6.85806i −0.138441 + 0.273232i
\(631\) 36.0577 + 31.2442i 1.43544 + 1.24381i 0.922841 + 0.385182i \(0.125861\pi\)
0.512595 + 0.858630i \(0.328684\pi\)
\(632\) 2.34648 + 1.50799i 0.0933381 + 0.0599847i
\(633\) 2.93454 + 23.8333i 0.116638 + 0.947290i
\(634\) 8.41254 9.70859i 0.334105 0.385577i
\(635\) 3.77676 + 1.10896i 0.149876 + 0.0440076i
\(636\) 9.71199 10.7592i 0.385106 0.426631i
\(637\) 1.19285 + 1.37662i 0.0472625 + 0.0545439i
\(638\) −23.9206 52.3787i −0.947024 2.07369i
\(639\) 25.2363 2.58874i 0.998333 0.102409i
\(640\) 0.909632 + 0.415415i 0.0359564 + 0.0164207i
\(641\) 6.44662 44.8372i 0.254626 1.77096i −0.315031 0.949081i \(-0.602015\pi\)
0.569657 0.821883i \(-0.307076\pi\)
\(642\) −8.22562 + 26.0470i −0.324639 + 1.02799i
\(643\) 30.6594i 1.20909i −0.796572 0.604543i \(-0.793356\pi\)
0.796572 0.604543i \(-0.206644\pi\)
\(644\) −9.28426 8.05326i −0.365851 0.317343i
\(645\) 11.8869 9.88504i 0.468046 0.389223i
\(646\) −2.75750 + 1.77214i −0.108492 + 0.0697237i
\(647\) −36.7534 5.28434i −1.44493 0.207749i −0.625182 0.780479i \(-0.714975\pi\)
−0.819744 + 0.572730i \(0.805884\pi\)
\(648\) −6.30158 6.42574i −0.247549 0.252427i
\(649\) 5.68390 + 19.3576i 0.223113 + 0.759852i
\(650\) −3.83104 + 1.74958i −0.150266 + 0.0686241i
\(651\) 32.8693 + 5.40863i 1.28825 + 0.211981i
\(652\) 1.89177 + 13.1575i 0.0740873 + 0.515289i
\(653\) 1.26295 4.30120i 0.0494229 0.168319i −0.931083 0.364806i \(-0.881135\pi\)
0.980506 + 0.196487i \(0.0629534\pi\)
\(654\) −0.615057 0.0124804i −0.0240506 0.000488021i
\(655\) 10.4994 16.3374i 0.410245 0.638354i
\(656\) 5.49275 8.54688i 0.214456 0.333700i
\(657\) −21.4408 26.8736i −0.836486 1.04844i
\(658\) −1.11790 + 3.80721i −0.0435802 + 0.148421i
\(659\) −3.84254 26.7255i −0.149684 1.04108i −0.916737 0.399492i \(-0.869186\pi\)
0.767052 0.641585i \(-0.221723\pi\)
\(660\) 1.62616 9.88251i 0.0632984 0.384676i
\(661\) 10.5642 4.82451i 0.410900 0.187652i −0.199231 0.979953i \(-0.563844\pi\)
0.610130 + 0.792301i \(0.291117\pi\)
\(662\) 3.11878 + 10.6216i 0.121215 + 0.412820i
\(663\) 17.3644 4.71818i 0.674376 0.183239i
\(664\) −8.95613 1.28770i −0.347565 0.0499723i
\(665\) −2.86484 + 1.84112i −0.111094 + 0.0713956i
\(666\) 1.61495 8.70777i 0.0625779 0.337419i
\(667\) 25.8406 40.1632i 1.00055 1.55512i
\(668\) 4.52512i 0.175082i
\(669\) −3.39900 1.07340i −0.131413 0.0415001i
\(670\) −2.05942 + 14.3235i −0.0795622 + 0.553367i
\(671\) 4.73552 + 2.16264i 0.182813 + 0.0834878i
\(672\) −3.68466 2.47503i −0.142139 0.0954764i
\(673\) 14.4316 + 31.6008i 0.556298 + 1.21812i 0.953778 + 0.300512i \(0.0971575\pi\)
−0.397480 + 0.917611i \(0.630115\pi\)
\(674\) 3.64124 + 4.20222i 0.140255 + 0.161863i
\(675\) −3.15758 4.12670i −0.121535 0.158837i
\(676\) 4.54596 + 1.33482i 0.174845 + 0.0513391i
\(677\) −18.1373 + 20.9315i −0.697071 + 0.804463i −0.988354 0.152174i \(-0.951373\pi\)
0.291282 + 0.956637i \(0.405918\pi\)
\(678\) 29.4315 3.62383i 1.13031 0.139172i
\(679\) 12.5122 + 8.04111i 0.480174 + 0.308589i
\(680\) −1.86420 1.61534i −0.0714888 0.0619454i
\(681\) 0.482694 + 1.11635i 0.0184969 + 0.0427786i
\(682\) −42.9532 + 6.17574i −1.64476 + 0.236481i
\(683\) 12.0251 10.4198i 0.460128 0.398704i −0.393716 0.919232i \(-0.628811\pi\)
0.853844 + 0.520529i \(0.174265\pi\)
\(684\) −0.967043 3.86746i −0.0369758 0.147876i
\(685\) −14.1243 + 4.14726i −0.539660 + 0.158458i
\(686\) −7.91256 + 17.3261i −0.302103 + 0.661513i
\(687\) −12.0473 19.6096i −0.459634 0.748153i
\(688\) 4.82567 + 7.50889i 0.183977 + 0.286274i
\(689\) −35.2441 −1.34269
\(690\) 7.62612 3.29275i 0.290322 0.125353i
\(691\) 30.9086 1.17582 0.587910 0.808926i \(-0.299951\pi\)
0.587910 + 0.808926i \(0.299951\pi\)
\(692\) −1.23651 1.92405i −0.0470052 0.0731415i
\(693\) −14.2447 + 42.1119i −0.541112 + 1.59970i
\(694\) 11.2460 24.6254i 0.426893 0.934766i
\(695\) 6.12794 1.79933i 0.232446 0.0682523i
\(696\) 7.48195 15.5409i 0.283603 0.589075i
\(697\) −18.9397 + 16.4114i −0.717393 + 0.621624i
\(698\) 4.11283 0.591336i 0.155673 0.0223824i
\(699\) 12.9116 5.58282i 0.488363 0.211162i
\(700\) −1.93677 1.67822i −0.0732030 0.0634308i
\(701\) −17.8784 11.4898i −0.675259 0.433963i 0.157559 0.987510i \(-0.449638\pi\)
−0.832818 + 0.553547i \(0.813274\pi\)
\(702\) −1.33118 + 21.8438i −0.0502423 + 0.824440i
\(703\) 2.56892 2.96470i 0.0968888 0.111816i
\(704\) 5.54817 + 1.62909i 0.209105 + 0.0613986i
\(705\) −1.99072 1.79696i −0.0749750 0.0676775i
\(706\) −2.40621 2.77691i −0.0905588 0.104510i
\(707\) 19.8005 + 43.3570i 0.744673 + 1.63061i
\(708\) −3.36963 + 5.01648i −0.126638 + 0.188531i
\(709\) 7.37602 + 3.36852i 0.277012 + 0.126507i 0.549077 0.835772i \(-0.314979\pi\)
−0.272065 + 0.962279i \(0.587707\pi\)
\(710\) −1.20345 + 8.37017i −0.0451646 + 0.314127i
\(711\) 7.74637 3.16448i 0.290512 0.118677i
\(712\) 8.58547i 0.321754i
\(713\) −23.5551 27.2124i −0.882145 1.01911i
\(714\) 7.00074 + 8.41848i 0.261996 + 0.315054i
\(715\) −20.4873 + 13.1664i −0.766183 + 0.492396i
\(716\) −23.8328 3.42663i −0.890672 0.128059i
\(717\) 6.78844 + 24.9836i 0.253519 + 0.933028i
\(718\) −5.44439 18.5419i −0.203183 0.691977i
\(719\) 9.70419 4.43176i 0.361905 0.165277i −0.226160 0.974090i \(-0.572617\pi\)
0.588065 + 0.808814i \(0.299890\pi\)
\(720\) 2.58748 1.51821i 0.0964296 0.0565803i
\(721\) −4.17780 29.0573i −0.155589 1.08215i
\(722\) −4.85543 + 16.5361i −0.180700 + 0.615409i
\(723\) 0.0214874 1.05894i 0.000799124 0.0393824i
\(724\) 10.6158 16.5185i 0.394532 0.613903i
\(725\) 5.38382 8.37738i 0.199950 0.311128i
\(726\) 0.788371 38.8525i 0.0292592 1.44195i
\(727\) −3.56706 + 12.1483i −0.132295 + 0.450556i −0.998819 0.0485794i \(-0.984531\pi\)
0.866524 + 0.499135i \(0.166349\pi\)
\(728\) 1.53603 + 10.6834i 0.0569292 + 0.395952i
\(729\) −26.6383 + 4.40465i −0.986604 + 0.163135i
\(730\) 10.4240 4.76049i 0.385810 0.176194i
\(731\) −6.20299 21.1254i −0.229426 0.781353i
\(732\) 0.408886 + 1.50483i 0.0151129 + 0.0556201i
\(733\) 6.74269 + 0.969452i 0.249047 + 0.0358075i 0.265708 0.964054i \(-0.414394\pi\)
−0.0166607 + 0.999861i \(0.505304\pi\)
\(734\) −17.1281 + 11.0075i −0.632208 + 0.406296i
\(735\) −0.478978 0.575978i −0.0176674 0.0212453i
\(736\) 1.34876 + 4.60226i 0.0497161 + 0.169642i
\(737\) 83.6762i 3.08225i
\(738\) −11.5264 28.2156i −0.424291 1.03863i
\(739\) 2.48560 17.2877i 0.0914341 0.635938i −0.891642 0.452741i \(-0.850446\pi\)
0.983076 0.183197i \(-0.0586447\pi\)
\(740\) 2.68531 + 1.22634i 0.0987140 + 0.0450812i
\(741\) −5.40511 + 8.04677i −0.198562 + 0.295606i
\(742\) −8.90876 19.5075i −0.327051 0.716142i
\(743\) 0.824757 + 0.951820i 0.0302574 + 0.0349189i 0.770677 0.637227i \(-0.219918\pi\)
−0.740419 + 0.672145i \(0.765373\pi\)
\(744\) −9.64886 8.70972i −0.353745 0.319314i
\(745\) 2.18180 + 0.640636i 0.0799351 + 0.0234711i
\(746\) 5.43390 6.27105i 0.198949 0.229599i
\(747\) −18.5935 + 19.7766i −0.680302 + 0.723587i
\(748\) −11.9991 7.71137i −0.438732 0.281956i
\(749\) 30.5434 + 26.4660i 1.11603 + 0.967047i
\(750\) 1.58980 0.687409i 0.0580513 0.0251006i
\(751\) −34.0221 + 4.89163i −1.24148 + 0.178498i −0.731593 0.681741i \(-0.761223\pi\)
−0.509890 + 0.860240i \(0.670314\pi\)
\(752\) 1.17016 1.01395i 0.0426712 0.0369748i
\(753\) 6.12380 12.7198i 0.223164 0.463536i
\(754\) −40.2415 + 11.8160i −1.46551 + 0.430312i
\(755\) 2.68993 5.89013i 0.0978967 0.214364i
\(756\) −12.4269 + 4.78472i −0.451964 + 0.174019i
\(757\) 21.4958 + 33.4482i 0.781280 + 1.21570i 0.972214 + 0.234092i \(0.0752118\pi\)
−0.190935 + 0.981603i \(0.561152\pi\)
\(758\) −16.1962 −0.588271
\(759\) 40.9388 25.1219i 1.48598 0.911868i
\(760\) 1.32884 0.0482022
\(761\) −16.1793 25.1754i −0.586498 0.912608i −0.999998 0.00210408i \(-0.999330\pi\)
0.413500 0.910504i \(-0.364306\pi\)
\(762\) 3.56881 + 5.80901i 0.129285 + 0.210438i
\(763\) −0.378117 + 0.827961i −0.0136888 + 0.0299742i
\(764\) 6.30605 1.85162i 0.228145 0.0669893i
\(765\) −7.17905 + 1.79509i −0.259559 + 0.0649017i
\(766\) −7.67844 + 6.65340i −0.277433 + 0.240397i
\(767\) 14.5448 2.09123i 0.525184 0.0755100i
\(768\) 0.687409 + 1.58980i 0.0248047 + 0.0573670i
\(769\) 6.00967 + 5.20741i 0.216714 + 0.187784i 0.756452 0.654049i \(-0.226931\pi\)
−0.539738 + 0.841833i \(0.681477\pi\)
\(770\) −12.4662 8.01155i −0.449251 0.288716i
\(771\) −6.39529 + 0.787437i −0.230321 + 0.0283589i
\(772\) 7.78710 8.98679i 0.280264 0.323442i
\(773\) 11.2206 + 3.29466i 0.403576 + 0.118501i 0.477220 0.878784i \(-0.341645\pi\)
−0.0736438 + 0.997285i \(0.523463\pi\)