Properties

Label 690.2.q.a.11.10
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 11.10
Character \(\chi\) \(=\) 690.11
Dual form 690.2.q.a.251.10

$q$-expansion

\(f(q)\) \(=\) \(q+(0.540641 + 0.841254i) q^{2} +(-1.25644 + 1.19221i) q^{3} +(-0.415415 + 0.909632i) q^{4} +(-0.959493 + 0.281733i) q^{5} +(-1.68223 - 0.412423i) q^{6} +(3.70222 - 3.20799i) q^{7} +(-0.989821 + 0.142315i) q^{8} +(0.157263 - 2.99588i) q^{9} +O(q^{10})\) \(q+(0.540641 + 0.841254i) q^{2} +(-1.25644 + 1.19221i) q^{3} +(-0.415415 + 0.909632i) q^{4} +(-0.959493 + 0.281733i) q^{5} +(-1.68223 - 0.412423i) q^{6} +(3.70222 - 3.20799i) q^{7} +(-0.989821 + 0.142315i) q^{8} +(0.157263 - 2.99588i) q^{9} +(-0.755750 - 0.654861i) q^{10} +(2.80081 + 1.79997i) q^{11} +(-0.562531 - 1.63816i) q^{12} +(3.81776 - 4.40593i) q^{13} +(4.70031 + 1.38014i) q^{14} +(0.869657 - 1.49790i) q^{15} +(-0.654861 - 0.755750i) q^{16} +(2.40866 + 5.27422i) q^{17} +(2.60531 - 1.48739i) q^{18} +(-1.05335 - 0.481051i) q^{19} +(0.142315 - 0.989821i) q^{20} +(-0.826998 + 8.44447i) q^{21} +3.32933i q^{22} +(-3.28761 - 3.49165i) q^{23} +(1.07398 - 1.35889i) q^{24} +(0.841254 - 0.540641i) q^{25} +(5.77054 + 0.829678i) q^{26} +(3.37413 + 3.95162i) q^{27} +(1.38014 + 4.70031i) q^{28} +(1.40873 - 0.643347i) q^{29} +(1.73028 - 0.0782228i) q^{30} +(0.0108063 + 0.0751597i) q^{31} +(0.281733 - 0.959493i) q^{32} +(-5.66499 + 1.07761i) q^{33} +(-3.13474 + 4.87775i) q^{34} +(-2.64846 + 4.12108i) q^{35} +(2.65981 + 1.38758i) q^{36} +(-2.82705 + 9.62804i) q^{37} +(-0.164801 - 1.14621i) q^{38} +(0.456029 + 10.0873i) q^{39} +(0.909632 - 0.415415i) q^{40} +(-1.93806 - 6.60042i) q^{41} +(-7.55105 + 3.86971i) q^{42} +(3.74808 + 0.538893i) q^{43} +(-2.80081 + 1.79997i) q^{44} +(0.693143 + 2.91883i) q^{45} +(1.15995 - 4.65344i) q^{46} +6.09793i q^{47} +(1.72380 + 0.168818i) q^{48} +(2.41902 - 16.8247i) q^{49} +(0.909632 + 0.415415i) q^{50} +(-9.31431 - 3.75509i) q^{51} +(2.42182 + 5.30304i) q^{52} +(-2.15669 - 2.48895i) q^{53} +(-1.50012 + 4.97490i) q^{54} +(-3.19447 - 0.937982i) q^{55} +(-3.20799 + 3.70222i) q^{56} +(1.89699 - 0.651412i) q^{57} +(1.30284 + 0.837282i) q^{58} +(1.85353 + 1.60609i) q^{59} +(1.00127 + 1.41332i) q^{60} +(11.3125 - 1.62650i) q^{61} +(-0.0573860 + 0.0497252i) q^{62} +(-9.02853 - 11.5959i) q^{63} +(0.959493 - 0.281733i) q^{64} +(-2.42182 + 5.30304i) q^{65} +(-3.96927 - 4.18310i) q^{66} +(4.35207 + 6.77195i) q^{67} -5.79819 q^{68} +(8.29346 + 0.467509i) q^{69} -4.89874 q^{70} +(-0.0737642 - 0.114779i) q^{71} +(0.270695 + 2.98776i) q^{72} +(-2.95980 + 6.48106i) q^{73} +(-9.62804 + 2.82705i) q^{74} +(-0.412423 + 1.68223i) q^{75} +(0.875159 - 0.758330i) q^{76} +(16.1435 - 2.32109i) q^{77} +(-8.23946 + 5.83726i) q^{78} +(4.93755 + 4.27841i) q^{79} +(0.841254 + 0.540641i) q^{80} +(-8.95054 - 0.942281i) q^{81} +(4.50483 - 5.19886i) q^{82} +(9.78245 + 2.87239i) q^{83} +(-7.33782 - 4.26022i) q^{84} +(-3.79701 - 4.38198i) q^{85} +(1.57302 + 3.44444i) q^{86} +(-1.00298 + 2.48783i) q^{87} +(-3.02847 - 1.38306i) q^{88} +(2.62988 - 18.2912i) q^{89} +(-2.08073 + 2.16115i) q^{90} -28.5591i q^{91} +(4.54184 - 1.54003i) q^{92} +(-0.103184 - 0.0815499i) q^{93} +(-5.12990 + 3.29679i) q^{94} +(1.14621 + 0.164801i) q^{95} +(0.789940 + 1.54143i) q^{96} +(-3.87364 - 13.1924i) q^{97} +(15.4616 - 7.06109i) q^{98} +(5.83296 - 8.10782i) 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
\(3\) −1.25644 + 1.19221i −0.725404 + 0.688324i
\(4\) −0.415415 + 0.909632i −0.207708 + 0.454816i
\(5\) −0.959493 + 0.281733i −0.429098 + 0.125995i
\(6\) −1.68223 0.412423i −0.686769 0.168371i
\(7\) 3.70222 3.20799i 1.39931 1.21251i 0.452069 0.891983i \(-0.350686\pi\)
0.947240 0.320525i \(-0.103859\pi\)
\(8\) −0.989821 + 0.142315i −0.349955 + 0.0503159i
\(9\) 0.157263 2.99588i 0.0524210 0.998625i
\(10\) −0.755750 0.654861i −0.238989 0.207085i
\(11\) 2.80081 + 1.79997i 0.844477 + 0.542713i 0.889848 0.456258i \(-0.150810\pi\)
−0.0453705 + 0.998970i \(0.514447\pi\)
\(12\) −0.562531 1.63816i −0.162389 0.472895i
\(13\) 3.81776 4.40593i 1.05886 1.22198i 0.0846290 0.996413i \(-0.473029\pi\)
0.974227 0.225572i \(-0.0724251\pi\)
\(14\) 4.70031 + 1.38014i 1.25621 + 0.368857i
\(15\) 0.869657 1.49790i 0.224544 0.386755i
\(16\) −0.654861 0.755750i −0.163715 0.188937i
\(17\) 2.40866 + 5.27422i 0.584185 + 1.27919i 0.938893 + 0.344209i \(0.111853\pi\)
−0.354708 + 0.934977i \(0.615420\pi\)
\(18\) 2.60531 1.48739i 0.614078 0.350582i
\(19\) −1.05335 0.481051i −0.241656 0.110361i 0.290906 0.956752i \(-0.406043\pi\)
−0.532562 + 0.846391i \(0.678771\pi\)
\(20\) 0.142315 0.989821i 0.0318226 0.221331i
\(21\) −0.826998 + 8.44447i −0.180466 + 1.84274i
\(22\) 3.32933i 0.709816i
\(23\) −3.28761 3.49165i −0.685514 0.728059i
\(24\) 1.07398 1.35889i 0.219225 0.277381i
\(25\) 0.841254 0.540641i 0.168251 0.108128i
\(26\) 5.77054 + 0.829678i 1.13170 + 0.162713i
\(27\) 3.37413 + 3.95162i 0.649351 + 0.760489i
\(28\) 1.38014 + 4.70031i 0.260821 + 0.888275i
\(29\) 1.40873 0.643347i 0.261595 0.119467i −0.280300 0.959912i \(-0.590434\pi\)
0.541896 + 0.840446i \(0.317707\pi\)
\(30\) 1.73028 0.0782228i 0.315905 0.0142815i
\(31\) 0.0108063 + 0.0751597i 0.00194087 + 0.0134991i 0.990769 0.135562i \(-0.0432840\pi\)
−0.988828 + 0.149061i \(0.952375\pi\)
\(32\) 0.281733 0.959493i 0.0498038 0.169616i
\(33\) −5.66499 + 1.07761i −0.986149 + 0.187588i
\(34\) −3.13474 + 4.87775i −0.537603 + 0.836527i
\(35\) −2.64846 + 4.12108i −0.447672 + 0.696590i
\(36\) 2.65981 + 1.38758i 0.443302 + 0.231264i
\(37\) −2.82705 + 9.62804i −0.464764 + 1.58284i 0.310095 + 0.950705i \(0.399639\pi\)
−0.774859 + 0.632134i \(0.782179\pi\)
\(38\) −0.164801 1.14621i −0.0267342 0.185941i
\(39\) 0.456029 + 10.0873i 0.0730231 + 1.61527i
\(40\) 0.909632 0.415415i 0.143825 0.0656829i
\(41\) −1.93806 6.60042i −0.302674 1.03081i −0.960647 0.277771i \(-0.910404\pi\)
0.657973 0.753041i \(-0.271414\pi\)
\(42\) −7.55105 + 3.86971i −1.16515 + 0.597109i
\(43\) 3.74808 + 0.538893i 0.571577 + 0.0821804i 0.422043 0.906576i \(-0.361313\pi\)
0.149535 + 0.988756i \(0.452222\pi\)
\(44\) −2.80081 + 1.79997i −0.422239 + 0.271356i
\(45\) 0.693143 + 2.91883i 0.103328 + 0.435113i
\(46\) 1.15995 4.65344i 0.171025 0.686113i
\(47\) 6.09793i 0.889474i 0.895661 + 0.444737i \(0.146703\pi\)
−0.895661 + 0.444737i \(0.853297\pi\)
\(48\) 1.72380 + 0.168818i 0.248810 + 0.0243668i
\(49\) 2.41902 16.8247i 0.345575 2.40352i
\(50\) 0.909632 + 0.415415i 0.128641 + 0.0587486i
\(51\) −9.31431 3.75509i −1.30426 0.525818i
\(52\) 2.42182 + 5.30304i 0.335846 + 0.735400i
\(53\) −2.15669 2.48895i −0.296244 0.341884i 0.588041 0.808831i \(-0.299899\pi\)
−0.884285 + 0.466947i \(0.845354\pi\)
\(54\) −1.50012 + 4.97490i −0.204141 + 0.676998i
\(55\) −3.19447 0.937982i −0.430743 0.126477i
\(56\) −3.20799 + 3.70222i −0.428686 + 0.494730i
\(57\) 1.89699 0.651412i 0.251262 0.0862816i
\(58\) 1.30284 + 0.837282i 0.171071 + 0.109941i
\(59\) 1.85353 + 1.60609i 0.241309 + 0.209096i 0.767116 0.641508i \(-0.221691\pi\)
−0.525807 + 0.850604i \(0.676237\pi\)
\(60\) 1.00127 + 1.41332i 0.129263 + 0.182458i
\(61\) 11.3125 1.62650i 1.44842 0.208252i 0.627199 0.778859i \(-0.284201\pi\)
0.821223 + 0.570608i \(0.193292\pi\)
\(62\) −0.0573860 + 0.0497252i −0.00728803 + 0.00631511i
\(63\) −9.02853 11.5959i −1.13749 1.46095i
\(64\) 0.959493 0.281733i 0.119937 0.0352166i
\(65\) −2.42182 + 5.30304i −0.300390 + 0.657762i
\(66\) −3.96927 4.18310i −0.488583 0.514903i
\(67\) 4.35207 + 6.77195i 0.531690 + 0.827325i 0.998368 0.0571015i \(-0.0181859\pi\)
−0.466679 + 0.884427i \(0.654550\pi\)
\(68\) −5.79819 −0.703134
\(69\) 8.29346 + 0.467509i 0.998415 + 0.0562814i
\(70\) −4.89874 −0.585512
\(71\) −0.0737642 0.114779i −0.00875420 0.0136218i 0.836849 0.547434i \(-0.184395\pi\)
−0.845603 + 0.533812i \(0.820759\pi\)
\(72\) 0.270695 + 2.98776i 0.0319017 + 0.352111i
\(73\) −2.95980 + 6.48106i −0.346418 + 0.758550i 0.653580 + 0.756857i \(0.273266\pi\)
−0.999999 + 0.00169305i \(0.999461\pi\)
\(74\) −9.62804 + 2.82705i −1.11924 + 0.328638i
\(75\) −0.412423 + 1.68223i −0.0476225 + 0.194248i
\(76\) 0.875159 0.758330i 0.100388 0.0869864i
\(77\) 16.1435 2.32109i 1.83973 0.264513i
\(78\) −8.23946 + 5.83726i −0.932936 + 0.660940i
\(79\) 4.93755 + 4.27841i 0.555517 + 0.481358i 0.886787 0.462178i \(-0.152932\pi\)
−0.331270 + 0.943536i \(0.607477\pi\)
\(80\) 0.841254 + 0.540641i 0.0940550 + 0.0604455i
\(81\) −8.95054 0.942281i −0.994504 0.104698i
\(82\) 4.50483 5.19886i 0.497476 0.574117i
\(83\) 9.78245 + 2.87239i 1.07376 + 0.315285i 0.770381 0.637584i \(-0.220066\pi\)
0.303382 + 0.952869i \(0.401884\pi\)
\(84\) −7.33782 4.26022i −0.800621 0.464829i
\(85\) −3.79701 4.38198i −0.411843 0.475293i
\(86\) 1.57302 + 3.44444i 0.169623 + 0.371423i
\(87\) −1.00298 + 2.48783i −0.107530 + 0.266724i
\(88\) −3.02847 1.38306i −0.322836 0.147434i
\(89\) 2.62988 18.2912i 0.278767 1.93887i −0.0604799 0.998169i \(-0.519263\pi\)
0.339247 0.940697i \(-0.389828\pi\)
\(90\) −2.08073 + 2.16115i −0.219328 + 0.227805i
\(91\) 28.5591i 2.99380i
\(92\) 4.54184 1.54003i 0.473519 0.160559i
\(93\) −0.103184 0.0815499i −0.0106996 0.00845633i
\(94\) −5.12990 + 3.29679i −0.529109 + 0.340038i
\(95\) 1.14621 + 0.164801i 0.117599 + 0.0169082i
\(96\) 0.789940 + 1.54143i 0.0806229 + 0.157321i
\(97\) −3.87364 13.1924i −0.393308 1.33949i −0.883729 0.467999i \(-0.844975\pi\)
0.490421 0.871486i \(-0.336843\pi\)
\(98\) 15.4616 7.06109i 1.56186 0.713278i
\(99\) 5.83296 8.10782i 0.586235 0.814867i
\(100\) 0.142315 + 0.989821i 0.0142315 + 0.0989821i
\(101\) −1.82251 + 6.20689i −0.181346 + 0.617609i 0.817769 + 0.575547i \(0.195211\pi\)
−0.999115 + 0.0420619i \(0.986607\pi\)
\(102\) −1.87671 9.86585i −0.185822 0.976865i
\(103\) −9.69259 + 15.0820i −0.955039 + 1.48607i −0.0830500 + 0.996545i \(0.526466\pi\)
−0.871989 + 0.489525i \(0.837170\pi\)
\(104\) −3.15187 + 4.90441i −0.309066 + 0.480916i
\(105\) −1.58558 8.33540i −0.154737 0.813452i
\(106\) 0.927845 3.15995i 0.0901203 0.306921i
\(107\) −1.46787 10.2093i −0.141904 0.986966i −0.928985 0.370116i \(-0.879318\pi\)
0.787081 0.616850i \(-0.211591\pi\)
\(108\) −4.99618 + 1.42765i −0.480758 + 0.137376i
\(109\) −1.41677 + 0.647018i −0.135702 + 0.0619731i −0.482109 0.876111i \(-0.660129\pi\)
0.346407 + 0.938084i \(0.387402\pi\)
\(110\) −0.937982 3.19447i −0.0894331 0.304581i
\(111\) −7.92665 15.4675i −0.752365 1.46811i
\(112\) −4.84888 0.697164i −0.458176 0.0658758i
\(113\) −8.85931 + 5.69354i −0.833414 + 0.535603i −0.886361 0.462995i \(-0.846775\pi\)
0.0529469 + 0.998597i \(0.483139\pi\)
\(114\) 1.57359 + 1.24367i 0.147380 + 0.116480i
\(115\) 4.13815 + 2.42399i 0.385884 + 0.226038i
\(116\) 1.54868i 0.143792i
\(117\) −12.5992 12.1304i −1.16480 1.12146i
\(118\) −0.349037 + 2.42761i −0.0321315 + 0.223479i
\(119\) 25.8371 + 11.7994i 2.36848 + 1.08165i
\(120\) −0.647632 + 1.60642i −0.0591204 + 0.146645i
\(121\) 0.0350886 + 0.0768333i 0.00318987 + 0.00698484i
\(122\) 7.48431 + 8.63736i 0.677598 + 0.781990i
\(123\) 10.3041 + 5.98243i 0.929093 + 0.539418i
\(124\) −0.0728567 0.0213927i −0.00654273 0.00192112i
\(125\) −0.654861 + 0.755750i −0.0585725 + 0.0675963i
\(126\) 4.87390 13.8645i 0.434201 1.23515i
\(127\) 10.8270 + 6.95808i 0.960740 + 0.617430i 0.924203 0.381902i \(-0.124731\pi\)
0.0365372 + 0.999332i \(0.488367\pi\)
\(128\) 0.755750 + 0.654861i 0.0667995 + 0.0578821i
\(129\) −5.35170 + 3.79142i −0.471191 + 0.333816i
\(130\) −5.77054 + 0.829678i −0.506110 + 0.0727676i
\(131\) 9.65854 8.36917i 0.843871 0.731218i −0.121363 0.992608i \(-0.538726\pi\)
0.965233 + 0.261390i \(0.0841809\pi\)
\(132\) 1.37309 5.60072i 0.119512 0.487480i
\(133\) −5.44296 + 1.59820i −0.471965 + 0.138581i
\(134\) −3.34402 + 7.32239i −0.288879 + 0.632558i
\(135\) −4.35075 2.84095i −0.374453 0.244510i
\(136\) −3.13474 4.87775i −0.268802 0.418264i
\(137\) −10.5804 −0.903946 −0.451973 0.892032i \(-0.649280\pi\)
−0.451973 + 0.892032i \(0.649280\pi\)
\(138\) 4.09049 + 7.22965i 0.348205 + 0.615429i
\(139\) −20.1327 −1.70764 −0.853818 0.520572i \(-0.825719\pi\)
−0.853818 + 0.520572i \(0.825719\pi\)
\(140\) −2.64846 4.12108i −0.223836 0.348295i
\(141\) −7.27002 7.66166i −0.612246 0.645228i
\(142\) 0.0566786 0.124109i 0.00475636 0.0104150i
\(143\) 18.6234 5.46832i 1.55737 0.457284i
\(144\) −2.36712 + 1.84303i −0.197260 + 0.153586i
\(145\) −1.17042 + 1.01417i −0.0971979 + 0.0842225i
\(146\) −7.05240 + 1.01398i −0.583661 + 0.0839177i
\(147\) 17.0192 + 24.0231i 1.40372 + 1.98139i
\(148\) −7.58357 6.57120i −0.623366 0.540150i
\(149\) −16.3214 10.4891i −1.33710 0.859304i −0.340387 0.940285i \(-0.610558\pi\)
−0.996716 + 0.0809813i \(0.974195\pi\)
\(150\) −1.63816 + 0.562531i −0.133755 + 0.0459305i
\(151\) −5.49774 + 6.34473i −0.447400 + 0.516327i −0.933988 0.357304i \(-0.883696\pi\)
0.486588 + 0.873632i \(0.338241\pi\)
\(152\) 1.11109 + 0.326247i 0.0901216 + 0.0264621i
\(153\) 16.1797 6.38659i 1.30805 0.516325i
\(154\) 10.6805 + 12.3259i 0.860658 + 0.993252i
\(155\) −0.0315435 0.0690707i −0.00253364 0.00554789i
\(156\) −9.36521 3.77561i −0.749817 0.302291i
\(157\) 9.61878 + 4.39275i 0.767662 + 0.350580i 0.760452 0.649394i \(-0.224978\pi\)
0.00721050 + 0.999974i \(0.497705\pi\)
\(158\) −0.929787 + 6.46681i −0.0739699 + 0.514472i
\(159\) 5.67710 + 0.555979i 0.450223 + 0.0440920i
\(160\) 1.00000i 0.0790569i
\(161\) −23.3727 2.38023i −1.84202 0.187589i
\(162\) −4.04633 8.03911i −0.317910 0.631612i
\(163\) −10.2795 + 6.60623i −0.805153 + 0.517440i −0.877293 0.479954i \(-0.840653\pi\)
0.0721409 + 0.997394i \(0.477017\pi\)
\(164\) 6.80905 + 0.978994i 0.531698 + 0.0764466i
\(165\) 5.13192 2.62997i 0.399520 0.204743i
\(166\) 2.87239 + 9.78245i 0.222940 + 0.759265i
\(167\) 3.00432 1.37203i 0.232481 0.106171i −0.295768 0.955260i \(-0.595576\pi\)
0.528250 + 0.849089i \(0.322848\pi\)
\(168\) −0.383193 8.47621i −0.0295640 0.653954i
\(169\) −2.98683 20.7739i −0.229756 1.59799i
\(170\) 1.63354 5.56332i 0.125287 0.426687i
\(171\) −1.60682 + 3.08007i −0.122877 + 0.235539i
\(172\) −2.04720 + 3.18551i −0.156098 + 0.242893i
\(173\) −0.829595 + 1.29088i −0.0630729 + 0.0981434i −0.871358 0.490649i \(-0.836760\pi\)
0.808285 + 0.588792i \(0.200396\pi\)
\(174\) −2.63515 + 0.501265i −0.199770 + 0.0380008i
\(175\) 1.38014 4.70031i 0.104328 0.355310i
\(176\) −0.473814 3.29545i −0.0357150 0.248404i
\(177\) −4.24365 + 0.191847i −0.318972 + 0.0144201i
\(178\) 16.8094 7.67659i 1.25992 0.575385i
\(179\) 2.50918 + 8.54547i 0.187545 + 0.638719i 0.998558 + 0.0536904i \(0.0170984\pi\)
−0.811013 + 0.585028i \(0.801083\pi\)
\(180\) −2.94300 0.582020i −0.219358 0.0433812i
\(181\) −6.81543 0.979911i −0.506587 0.0728362i −0.115717 0.993282i \(-0.536917\pi\)
−0.390870 + 0.920446i \(0.627826\pi\)
\(182\) 24.0254 15.4402i 1.78088 1.14450i
\(183\) −12.2743 + 15.5305i −0.907346 + 1.14805i
\(184\) 3.75106 + 2.98823i 0.276532 + 0.220296i
\(185\) 10.0345i 0.737752i
\(186\) 0.0128188 0.130893i 0.000939921 0.00959753i
\(187\) −2.74726 + 19.1076i −0.200900 + 1.39729i
\(188\) −5.54687 2.53317i −0.404547 0.184750i
\(189\) 25.1685 + 3.80559i 1.83074 + 0.276816i
\(190\) 0.481051 + 1.05335i 0.0348991 + 0.0764184i
\(191\) −1.06729 1.23171i −0.0772261 0.0891237i 0.715822 0.698283i \(-0.246052\pi\)
−0.793048 + 0.609159i \(0.791507\pi\)
\(192\) −0.869657 + 1.49790i −0.0627621 + 0.108101i
\(193\) −16.5375 4.85585i −1.19040 0.349532i −0.374222 0.927339i \(-0.622090\pi\)
−0.816173 + 0.577807i \(0.803909\pi\)
\(194\) 9.00391 10.3911i 0.646443 0.746035i
\(195\) −3.27949 9.55025i −0.234849 0.683908i
\(196\) 14.2994 + 9.18964i 1.02138 + 0.656403i
\(197\) 1.73164 + 1.50047i 0.123374 + 0.106904i 0.714363 0.699776i \(-0.246717\pi\)
−0.590989 + 0.806680i \(0.701262\pi\)
\(198\) 9.97427 + 0.523581i 0.708840 + 0.0372093i
\(199\) 2.01184 0.289259i 0.142616 0.0205050i −0.0706372 0.997502i \(-0.522503\pi\)
0.213253 + 0.976997i \(0.431594\pi\)
\(200\) −0.755750 + 0.654861i −0.0534396 + 0.0463056i
\(201\) −13.5417 3.31994i −0.955157 0.234170i
\(202\) −6.20689 + 1.82251i −0.436715 + 0.128231i
\(203\) 3.15159 6.90102i 0.221198 0.484357i
\(204\) 7.28506 6.91267i 0.510056 0.483984i
\(205\) 3.71911 + 5.78704i 0.259754 + 0.404185i
\(206\) −17.9280 −1.24910
\(207\) −10.9776 + 9.30016i −0.762994 + 0.646406i
\(208\) −5.82988 −0.404229
\(209\) −2.08437 3.24335i −0.144179 0.224347i
\(210\) 6.15496 5.84034i 0.424732 0.403022i
\(211\) −4.52663 + 9.91193i −0.311626 + 0.682366i −0.999036 0.0439042i \(-0.986020\pi\)
0.687410 + 0.726270i \(0.258748\pi\)
\(212\) 3.15995 0.927845i 0.217026 0.0637246i
\(213\) 0.229521 + 0.0562703i 0.0157265 + 0.00385558i
\(214\) 7.79498 6.75439i 0.532854 0.461721i
\(215\) −3.74808 + 0.538893i −0.255617 + 0.0367522i
\(216\) −3.90216 3.43121i −0.265508 0.233464i
\(217\) 0.281119 + 0.243591i 0.0190836 + 0.0165360i
\(218\) −1.31027 0.842060i −0.0887428 0.0570315i
\(219\) −4.00799 11.6717i −0.270835 0.788703i
\(220\) 2.18025 2.51614i 0.146992 0.169638i
\(221\) 32.4335 + 9.52333i 2.18171 + 0.640609i
\(222\) 8.72657 15.0307i 0.585689 1.00879i
\(223\) −14.0160 16.1753i −0.938579 1.08318i −0.996394 0.0848500i \(-0.972959\pi\)
0.0578152 0.998327i \(-0.481587\pi\)
\(224\) −2.03501 4.45605i −0.135970 0.297733i
\(225\) −1.48739 2.60531i −0.0991596 0.173688i
\(226\) −9.57941 4.37477i −0.637213 0.291005i
\(227\) 0.437069 3.03989i 0.0290093 0.201764i −0.970162 0.242456i \(-0.922047\pi\)
0.999172 + 0.0406916i \(0.0129561\pi\)
\(228\) −0.195492 + 1.99617i −0.0129468 + 0.132199i
\(229\) 11.8517i 0.783183i −0.920139 0.391591i \(-0.871925\pi\)
0.920139 0.391591i \(-0.128075\pi\)
\(230\) 0.198065 + 4.79174i 0.0130600 + 0.315958i
\(231\) −17.5161 + 22.1628i −1.15247 + 1.45821i
\(232\) −1.30284 + 0.837282i −0.0855354 + 0.0549703i
\(233\) −7.79717 1.12106i −0.510809 0.0734433i −0.117909 0.993024i \(-0.537619\pi\)
−0.392900 + 0.919581i \(0.628528\pi\)
\(234\) 3.39310 17.1573i 0.221814 1.12161i
\(235\) −1.71798 5.85092i −0.112069 0.381672i
\(236\) −2.23094 + 1.01884i −0.145222 + 0.0663205i
\(237\) −11.3045 + 0.511054i −0.734305 + 0.0331965i
\(238\) 4.04229 + 28.1147i 0.262023 + 1.82241i
\(239\) −6.51727 + 22.1958i −0.421567 + 1.43572i 0.425849 + 0.904794i \(0.359976\pi\)
−0.847415 + 0.530930i \(0.821843\pi\)
\(240\) −1.70154 + 0.323672i −0.109834 + 0.0208929i
\(241\) 10.4575 16.2722i 0.673626 1.04818i −0.321241 0.946997i \(-0.604100\pi\)
0.994868 0.101185i \(-0.0322635\pi\)
\(242\) −0.0456660 + 0.0710576i −0.00293552 + 0.00456776i
\(243\) 12.3692 9.48702i 0.793483 0.608593i
\(244\) −3.21988 + 10.9659i −0.206132 + 0.702021i
\(245\) 2.41902 + 16.8247i 0.154546 + 1.07489i
\(246\) 0.538100 + 11.9027i 0.0343080 + 0.758891i
\(247\) −6.14093 + 2.80447i −0.390738 + 0.178444i
\(248\) −0.0213927 0.0728567i −0.00135844 0.00462641i
\(249\) −15.7155 + 8.05378i −0.995930 + 0.510388i
\(250\) −0.989821 0.142315i −0.0626018 0.00900078i
\(251\) 9.61375 6.17838i 0.606814 0.389976i −0.200847 0.979623i \(-0.564369\pi\)
0.807661 + 0.589647i \(0.200733\pi\)
\(252\) 14.2986 3.39553i 0.900726 0.213898i
\(253\) −2.92310 15.6971i −0.183774 0.986867i
\(254\) 12.8701i 0.807540i
\(255\) 9.99495 + 0.978842i 0.625908 + 0.0612974i
\(256\) −0.142315 + 0.989821i −0.00889468 + 0.0618638i
\(257\) −3.76268 1.71836i −0.234710 0.107188i 0.294589 0.955624i \(-0.404817\pi\)
−0.529298 + 0.848436i \(0.677545\pi\)
\(258\) −6.08290 2.45234i −0.378705 0.152676i
\(259\) 20.4203 + 44.7143i 1.26886 + 2.77841i
\(260\) −3.81776 4.40593i −0.236767 0.273244i
\(261\) −1.70585 4.32156i −0.105589 0.267498i
\(262\) 12.2624 + 3.60057i 0.757574 + 0.222444i
\(263\) 4.44615 5.13113i 0.274161 0.316399i −0.601926 0.798552i \(-0.705600\pi\)
0.876087 + 0.482153i \(0.160145\pi\)
\(264\) 5.45397 1.87286i 0.335669 0.115266i
\(265\) 2.77055 + 1.78052i 0.170193 + 0.109377i
\(266\) −4.28718 3.71486i −0.262864 0.227773i
\(267\) 18.5027 + 26.1171i 1.13235 + 1.59834i
\(268\) −7.96790 + 1.14561i −0.486717 + 0.0699793i
\(269\) 7.16937 6.21229i 0.437124 0.378770i −0.408316 0.912841i \(-0.633884\pi\)
0.845440 + 0.534071i \(0.179338\pi\)
\(270\) 0.0377638 5.19602i 0.00229823 0.316219i
\(271\) −5.91719 + 1.73744i −0.359444 + 0.105542i −0.456468 0.889740i \(-0.650886\pi\)
0.0970242 + 0.995282i \(0.469068\pi\)
\(272\) 2.40866 5.27422i 0.146046 0.319797i
\(273\) 34.0485 + 35.8826i 2.06071 + 2.17172i
\(274\) −5.72021 8.90082i −0.345570 0.537718i
\(275\) 3.32933 0.200766
\(276\) −3.87049 + 7.34978i −0.232976 + 0.442405i
\(277\) −2.47047 −0.148436 −0.0742180 0.997242i \(-0.523646\pi\)
−0.0742180 + 0.997242i \(0.523646\pi\)
\(278\) −10.8846 16.9367i −0.652813 1.01580i
\(279\) 0.226868 0.0205546i 0.0135823 0.00123057i
\(280\) 2.03501 4.45605i 0.121615 0.266300i
\(281\) −17.0094 + 4.99442i −1.01470 + 0.297942i −0.746474 0.665414i \(-0.768255\pi\)
−0.268224 + 0.963357i \(0.586437\pi\)
\(282\) 2.51493 10.2581i 0.149762 0.610863i
\(283\) −4.41850 + 3.82865i −0.262652 + 0.227590i −0.776224 0.630457i \(-0.782867\pi\)
0.513572 + 0.858047i \(0.328322\pi\)
\(284\) 0.135050 0.0194172i 0.00801372 0.00115220i
\(285\) −1.63662 + 1.15947i −0.0969451 + 0.0686810i
\(286\) 14.6688 + 12.7106i 0.867385 + 0.751593i
\(287\) −28.3492 18.2189i −1.67340 1.07543i
\(288\) −2.83022 0.994928i −0.166772 0.0586267i
\(289\) −10.8831 + 12.5598i −0.640185 + 0.738813i
\(290\) −1.48595 0.436315i −0.0872581 0.0256213i
\(291\) 20.5951 + 11.9572i 1.20731 + 0.700944i
\(292\) −4.66583 5.38466i −0.273047 0.315113i
\(293\) 2.43967 + 5.34213i 0.142527 + 0.312090i 0.967411 0.253212i \(-0.0814869\pi\)
−0.824884 + 0.565302i \(0.808760\pi\)
\(294\) −11.0082 + 27.3054i −0.642014 + 1.59248i
\(295\) −2.23094 1.01884i −0.129890 0.0593189i
\(296\) 1.42806 9.93237i 0.0830042 0.577307i
\(297\) 2.33749 + 17.1411i 0.135635 + 0.994626i
\(298\) 19.4013i 1.12389i
\(299\) −27.9353 + 1.15469i −1.61554 + 0.0667777i
\(300\) −1.35889 1.07398i −0.0784553 0.0620061i
\(301\) 15.6050 10.0287i 0.899458 0.578046i
\(302\) −8.30983 1.19477i −0.478177 0.0687515i
\(303\) −5.11007 9.97138i −0.293566 0.572841i
\(304\) 0.326247 + 1.11109i 0.0187115 + 0.0637256i
\(305\) −10.3961 + 4.74772i −0.595277 + 0.271854i
\(306\) 14.1201 + 10.1584i 0.807195 + 0.580716i
\(307\) 2.39718 + 16.6727i 0.136814 + 0.951563i 0.936381 + 0.350986i \(0.114153\pi\)
−0.799567 + 0.600577i \(0.794938\pi\)
\(308\) −4.59493 + 15.6489i −0.261821 + 0.891679i
\(309\) −5.80277 30.5051i −0.330108 1.73538i
\(310\) 0.0410522 0.0638785i 0.00233161 0.00362806i
\(311\) −9.12245 + 14.1948i −0.517287 + 0.804914i −0.997383 0.0723019i \(-0.976965\pi\)
0.480096 + 0.877216i \(0.340602\pi\)
\(312\) −1.88697 9.91977i −0.106828 0.561596i
\(313\) 5.38827 18.3508i 0.304563 1.03725i −0.654971 0.755654i \(-0.727319\pi\)
0.959534 0.281592i \(-0.0908625\pi\)
\(314\) 1.50489 + 10.4667i 0.0849258 + 0.590672i
\(315\) 11.9298 + 8.58255i 0.672165 + 0.483572i
\(316\) −5.94291 + 2.71403i −0.334315 + 0.152676i
\(317\) −0.0495520 0.168759i −0.00278312 0.00947843i 0.958090 0.286468i \(-0.0924813\pi\)
−0.960873 + 0.276990i \(0.910663\pi\)
\(318\) 2.60155 + 5.07646i 0.145888 + 0.284674i
\(319\) 5.10361 + 0.733788i 0.285747 + 0.0410842i
\(320\) −0.841254 + 0.540641i −0.0470275 + 0.0302227i
\(321\) 14.0159 + 11.0773i 0.782290 + 0.618273i
\(322\) −10.6338 20.9492i −0.592600 1.16745i
\(323\) 6.71431i 0.373594i
\(324\) 4.57532 7.75026i 0.254184 0.430570i
\(325\) 0.829678 5.77054i 0.0460223 0.320092i
\(326\) −11.1150 5.07607i −0.615605 0.281137i
\(327\) 1.00870 2.50203i 0.0557813 0.138363i
\(328\) 2.85767 + 6.25742i 0.157788 + 0.345508i
\(329\) 19.5621 + 22.5759i 1.07849 + 1.24465i
\(330\) 4.98700 + 2.89538i 0.274525 + 0.159385i
\(331\) 11.1122 + 3.26284i 0.610783 + 0.179342i 0.572472 0.819924i \(-0.305984\pi\)
0.0383101 + 0.999266i \(0.487803\pi\)
\(332\) −6.67659 + 7.70520i −0.366425 + 0.422878i
\(333\) 28.3998 + 9.98361i 1.55630 + 0.547099i
\(334\) 2.77848 + 1.78562i 0.152032 + 0.0977049i
\(335\) −6.08366 5.27152i −0.332386 0.288014i
\(336\) 6.92348 4.90495i 0.377707 0.267587i
\(337\) 4.55302 0.654626i 0.248019 0.0356597i −0.0171841 0.999852i \(-0.505470\pi\)
0.265203 + 0.964193i \(0.414561\pi\)
\(338\) 15.8613 13.7439i 0.862740 0.747568i
\(339\) 4.34326 17.7157i 0.235894 0.962187i
\(340\) 5.56332 1.63354i 0.301714 0.0885911i
\(341\) −0.105019 + 0.229959i −0.00568709 + 0.0124530i
\(342\) −3.45983 + 0.313465i −0.187086 + 0.0169503i
\(343\) −26.4785 41.2013i −1.42970 2.22466i
\(344\) −3.78663 −0.204161
\(345\) −8.08923 + 1.88797i −0.435509 + 0.101645i
\(346\) −1.53447 −0.0824934
\(347\) 3.33102 + 5.18318i 0.178819 + 0.278247i 0.919079 0.394073i \(-0.128934\pi\)
−0.740260 + 0.672320i \(0.765298\pi\)
\(348\) −1.84636 1.94582i −0.0989753 0.104307i
\(349\) 7.46343 16.3426i 0.399508 0.874801i −0.597812 0.801637i \(-0.703963\pi\)
0.997320 0.0731645i \(-0.0233098\pi\)
\(350\) 4.70031 1.38014i 0.251242 0.0737713i
\(351\) 30.2921 + 0.220159i 1.61687 + 0.0117512i
\(352\) 2.51614 2.18025i 0.134111 0.116208i
\(353\) 10.8295 1.55704i 0.576394 0.0828730i 0.152048 0.988373i \(-0.451413\pi\)
0.424346 + 0.905500i \(0.360504\pi\)
\(354\) −2.45568 3.46626i −0.130518 0.184230i
\(355\) 0.103113 + 0.0893481i 0.00547268 + 0.00474211i
\(356\) 15.5458 + 9.99068i 0.823926 + 0.529505i
\(357\) −46.5300 + 15.9781i −2.46263 + 0.845649i
\(358\) −5.83235 + 6.73089i −0.308249 + 0.355738i
\(359\) −6.42730 1.88722i −0.339220 0.0996039i 0.107686 0.994185i \(-0.465656\pi\)
−0.446906 + 0.894581i \(0.647474\pi\)
\(360\) −1.10148 2.79047i −0.0580531 0.147071i
\(361\) −11.5642 13.3458i −0.608642 0.702411i
\(362\) −2.86035 6.26328i −0.150336 0.329191i
\(363\) −0.135688 0.0547031i −0.00712178 0.00287117i
\(364\) 25.9782 + 11.8639i 1.36163 + 0.621836i
\(365\) 1.01398 7.05240i 0.0530742 0.369139i
\(366\) −19.7011 1.92940i −1.02979 0.100852i
\(367\) 3.14108i 0.163963i −0.996634 0.0819816i \(-0.973875\pi\)
0.996634 0.0819816i \(-0.0261249\pi\)
\(368\) −0.485887 + 4.77115i −0.0253286 + 0.248714i
\(369\) −20.0788 + 4.76818i −1.04526 + 0.248221i
\(370\) 8.44156 5.42506i 0.438856 0.282036i
\(371\) −15.9691 2.29601i −0.829073 0.119203i
\(372\) 0.117044 0.0599821i 0.00606847 0.00310993i
\(373\) 6.91810 + 23.5609i 0.358206 + 1.21994i 0.919755 + 0.392493i \(0.128387\pi\)
−0.561549 + 0.827443i \(0.689794\pi\)
\(374\) −17.5596 + 8.01922i −0.907987 + 0.414664i
\(375\) −0.0782228 1.73028i −0.00403941 0.0893515i
\(376\) −0.867826 6.03586i −0.0447547 0.311276i
\(377\) 2.54366 8.66292i 0.131005 0.446163i
\(378\) 10.4057 + 23.2306i 0.535210 + 1.19485i
\(379\) −14.9462 + 23.2568i −0.767736 + 1.19462i 0.208524 + 0.978017i \(0.433134\pi\)
−0.976260 + 0.216603i \(0.930502\pi\)
\(380\) −0.626063 + 0.974173i −0.0321163 + 0.0499740i
\(381\) −21.8989 + 4.16568i −1.12192 + 0.213414i
\(382\) 0.459165 1.56377i 0.0234929 0.0800096i
\(383\) 2.51842 + 17.5160i 0.128685 + 0.895027i 0.947223 + 0.320574i \(0.103876\pi\)
−0.818538 + 0.574453i \(0.805215\pi\)
\(384\) −1.73028 + 0.0782228i −0.0882982 + 0.00399179i
\(385\) −14.8357 + 6.77523i −0.756097 + 0.345298i
\(386\) −4.85585 16.5375i −0.247156 0.841737i
\(387\) 2.20389 11.1440i 0.112030 0.566484i
\(388\) 13.6094 + 1.95674i 0.690912 + 0.0993382i
\(389\) −20.7460 + 13.3327i −1.05187 + 0.675993i −0.947894 0.318587i \(-0.896792\pi\)
−0.103972 + 0.994580i \(0.533155\pi\)
\(390\) 6.26116 7.92214i 0.317046 0.401153i
\(391\) 10.4970 25.7498i 0.530857 1.30222i
\(392\) 16.9977i 0.858513i
\(393\) −2.15751 + 22.0304i −0.108832 + 1.11128i
\(394\) −0.326083 + 2.26796i −0.0164278 + 0.114258i
\(395\) −5.94291 2.71403i −0.299020 0.136558i
\(396\) 4.95203 + 8.67396i 0.248849 + 0.435883i
\(397\) 9.53510 + 20.8790i 0.478553 + 1.04788i 0.982859 + 0.184360i \(0.0590211\pi\)
−0.504306 + 0.863525i \(0.668252\pi\)
\(398\) 1.33102 + 1.53608i 0.0667182 + 0.0769969i
\(399\) 4.93335 8.49720i 0.246976 0.425392i
\(400\) −0.959493 0.281733i −0.0479746 0.0140866i
\(401\) −5.85844 + 6.76100i −0.292557 + 0.337628i −0.882932 0.469500i \(-0.844434\pi\)
0.590376 + 0.807128i \(0.298980\pi\)
\(402\) −4.52828 13.1869i −0.225850 0.657702i
\(403\) 0.372404 + 0.239329i 0.0185508 + 0.0119219i
\(404\) −4.88889 4.23625i −0.243231 0.210761i
\(405\) 8.85345 1.61755i 0.439931 0.0803765i
\(406\) 7.50939 1.07969i 0.372685 0.0535840i
\(407\) −25.2482 + 21.8777i −1.25151 + 1.08444i
\(408\) 9.75391 + 2.39131i 0.482890 + 0.118387i
\(409\) −11.1899 + 3.28564i −0.553303 + 0.162464i −0.546419 0.837512i \(-0.684009\pi\)
−0.00688382 + 0.999976i \(0.502191\pi\)
\(410\) −2.85767 + 6.25742i −0.141130 + 0.309032i
\(411\) 13.2936 12.6141i 0.655726 0.622208i
\(412\) −9.69259 15.0820i −0.477520 0.743035i
\(413\) 12.0145 0.591196
\(414\) −13.7587 4.20687i −0.676204 0.206756i
\(415\) −10.1954 −0.500474
\(416\) −3.15187 4.90441i −0.154533 0.240458i
\(417\) 25.2955 24.0025i 1.23873 1.17541i
\(418\) 1.60158 3.50697i 0.0783358 0.171532i
\(419\) 23.8529 7.00384i 1.16529 0.342160i 0.358804 0.933413i \(-0.383185\pi\)
0.806486 + 0.591253i \(0.201367\pi\)
\(420\) 8.24083 + 2.02035i 0.402111 + 0.0985832i
\(421\) −17.5759 + 15.2296i −0.856599 + 0.742247i −0.967845 0.251545i \(-0.919061\pi\)
0.111246 + 0.993793i \(0.464516\pi\)
\(422\) −10.7857 + 1.55075i −0.525041 + 0.0754895i
\(423\) 18.2686 + 0.958978i 0.888251 + 0.0466271i
\(424\) 2.48895 + 2.15669i 0.120874 + 0.104738i
\(425\) 4.87775 + 3.13474i 0.236606 + 0.152057i
\(426\) 0.0767509 + 0.223507i 0.00371859 + 0.0108290i
\(427\) 36.6637 42.3122i 1.77428 2.04763i
\(428\) 9.89644 + 2.90586i 0.478363 + 0.140460i
\(429\) −16.8797 + 29.0736i −0.814960 + 1.40369i
\(430\) −2.47971 2.86174i −0.119582 0.138005i
\(431\) 1.10799 + 2.42616i 0.0533699 + 0.116864i 0.934438 0.356125i \(-0.115902\pi\)
−0.881068 + 0.472989i \(0.843175\pi\)
\(432\) 0.776850 5.13775i 0.0373762 0.247190i
\(433\) −14.0489 6.41593i −0.675148 0.308330i 0.0481755 0.998839i \(-0.484659\pi\)
−0.723324 + 0.690509i \(0.757387\pi\)
\(434\) −0.0529374 + 0.368188i −0.00254108 + 0.0176736i
\(435\) 0.261447 2.66963i 0.0125354 0.127999i
\(436\) 1.55752i 0.0745918i
\(437\) 1.78336 + 5.25946i 0.0853096 + 0.251594i
\(438\) 7.65201 9.68196i 0.365627 0.462622i
\(439\) 16.0963 10.3444i 0.768233 0.493714i −0.0968763 0.995296i \(-0.530885\pi\)
0.865110 + 0.501583i \(0.167249\pi\)
\(440\) 3.29545 + 0.473814i 0.157104 + 0.0225882i
\(441\) −50.0242 9.89299i −2.38210 0.471095i
\(442\) 9.52333 + 32.4335i 0.452979 + 1.54270i
\(443\) 24.3091 11.1016i 1.15496 0.527454i 0.256517 0.966540i \(-0.417425\pi\)
0.898445 + 0.439086i \(0.144698\pi\)
\(444\) 17.3625 0.784927i 0.823990 0.0372510i
\(445\) 2.62988 + 18.2912i 0.124668 + 0.867088i
\(446\) 6.02991 20.5360i 0.285525 0.972408i
\(447\) 33.0121 6.27965i 1.56142 0.297017i
\(448\) 2.64846 4.12108i 0.125128 0.194703i
\(449\) −10.5191 + 16.3680i −0.496426 + 0.772455i −0.995566 0.0940671i \(-0.970013\pi\)
0.499139 + 0.866522i \(0.333650\pi\)
\(450\) 1.38758 2.65981i 0.0654113 0.125385i
\(451\) 6.45244 21.9750i 0.303834 1.03476i
\(452\) −1.49873 10.4239i −0.0704943 0.490299i
\(453\) −0.656703 14.5262i −0.0308546 0.682502i
\(454\) 2.79361 1.27580i 0.131111 0.0598762i
\(455\) 8.04602 + 27.4022i 0.377203 + 1.28464i
\(456\) −1.78497 + 0.914751i −0.0835890 + 0.0428371i
\(457\) 23.0420 + 3.31294i 1.07786 + 0.154973i 0.658300 0.752756i \(-0.271276\pi\)
0.419558 + 0.907728i \(0.362185\pi\)
\(458\) 9.97029 6.40752i 0.465881 0.299404i
\(459\) −12.7146 + 27.3140i −0.593466 + 1.27491i
\(460\) −3.92399 + 2.75723i −0.182957 + 0.128557i
\(461\) 24.4776i 1.14003i 0.821633 + 0.570017i \(0.193063\pi\)
−0.821633 + 0.570017i \(0.806937\pi\)
\(462\) −28.1145 2.75335i −1.30800 0.128098i
\(463\) −1.85526 + 12.9036i −0.0862211 + 0.599681i 0.900204 + 0.435469i \(0.143417\pi\)
−0.986425 + 0.164212i \(0.947492\pi\)
\(464\) −1.40873 0.643347i −0.0653988 0.0298666i
\(465\) 0.121979 + 0.0491763i 0.00565665 + 0.00228050i
\(466\) −3.27237 7.16549i −0.151590 0.331935i
\(467\) −4.93693 5.69752i −0.228454 0.263650i 0.629937 0.776646i \(-0.283081\pi\)
−0.858391 + 0.512997i \(0.828535\pi\)
\(468\) 16.2681 6.42149i 0.751994 0.296834i
\(469\) 37.8367 + 11.1099i 1.74714 + 0.513006i
\(470\) 3.99329 4.60851i 0.184197 0.212575i
\(471\) −17.3225 + 5.94841i −0.798177 + 0.274088i
\(472\) −2.06324 1.32596i −0.0949681 0.0610323i
\(473\) 9.52769 + 8.25579i 0.438084 + 0.379602i
\(474\) −6.54159 9.23363i −0.300465 0.424115i
\(475\) −1.14621 + 0.164801i −0.0525919 + 0.00756158i
\(476\) −21.4662 + 18.6006i −0.983902 + 0.852556i
\(477\) −7.79575 + 6.06975i −0.356943 + 0.277915i
\(478\) −22.1958 + 6.51727i −1.01521 + 0.298093i
\(479\) 12.3761 27.0998i 0.565477 1.23822i −0.383693 0.923461i \(-0.625348\pi\)
0.949171 0.314762i \(-0.101925\pi\)
\(480\) −1.19221 1.25644i −0.0544168 0.0573482i
\(481\) 31.6275 + 49.2133i 1.44209 + 2.24393i
\(482\) 19.3428 0.881039
\(483\) 32.2040 24.8745i 1.46533 1.13183i
\(484\) −0.0844663 −0.00383938
\(485\) 7.43346 + 11.5667i 0.337536 + 0.525216i
\(486\) 14.6683 + 5.27654i 0.665366 + 0.239349i
\(487\) 1.92969 4.22543i 0.0874427 0.191473i −0.860859 0.508844i \(-0.830073\pi\)
0.948301 + 0.317371i \(0.102800\pi\)
\(488\) −10.9659 + 3.21988i −0.496404 + 0.145757i
\(489\) 5.03951 20.5556i 0.227894 0.929559i
\(490\) −12.8460 + 11.1311i −0.580323 + 0.502853i
\(491\) −21.2893 + 3.06093i −0.960770 + 0.138138i −0.604816 0.796365i \(-0.706753\pi\)
−0.355955 + 0.934503i \(0.615844\pi\)
\(492\) −9.72231 + 6.88779i −0.438315 + 0.310525i
\(493\) 6.78631 + 5.88037i 0.305640 + 0.264838i
\(494\) −5.67931 3.64987i −0.255524 0.164215i
\(495\) −3.31245 + 9.42273i −0.148884 + 0.423520i
\(496\) 0.0497252 0.0573860i 0.00223273 0.00257671i
\(497\) −0.641303 0.188303i −0.0287664 0.00844656i
\(498\) −15.2717 8.86653i −0.684342 0.397319i
\(499\) −27.5809 31.8300i −1.23469 1.42491i −0.869469 0.493987i \(-0.835539\pi\)
−0.365220 0.930921i \(-0.619006\pi\)
\(500\) −0.415415 0.909632i −0.0185779 0.0406800i
\(501\) −2.13899 + 5.30565i −0.0955631 + 0.237039i
\(502\) 10.3952 + 4.74731i 0.463959 + 0.211883i
\(503\) −5.45635 + 37.9498i −0.243287 + 1.69210i 0.392116 + 0.919916i \(0.371743\pi\)
−0.635403 + 0.772181i \(0.719166\pi\)
\(504\) 10.5869 + 10.1930i 0.471578 + 0.454031i
\(505\) 6.46893i 0.287864i
\(506\) 11.6249 10.9456i 0.516789 0.486589i
\(507\) 28.5196 + 22.5401i 1.26660 + 1.00104i
\(508\) −10.8270 + 6.95808i −0.480370 + 0.308715i
\(509\) 9.98240 + 1.43525i 0.442462 + 0.0636165i 0.359946 0.932973i \(-0.382795\pi\)
0.0825165 + 0.996590i \(0.473704\pi\)
\(510\) 4.58022 + 8.93748i 0.202816 + 0.395758i
\(511\) 9.83336 + 33.4893i 0.435002 + 1.48148i
\(512\) −0.909632 + 0.415415i −0.0402004 + 0.0183589i
\(513\) −1.65322 5.78558i −0.0729916 0.255440i
\(514\) −0.588684 4.09438i −0.0259657 0.180596i
\(515\) 5.05089 17.2018i 0.222569 0.758000i
\(516\) −1.22562 6.44309i −0.0539551 0.283641i
\(517\) −10.9761 + 17.0792i −0.482729 + 0.751141i
\(518\) −26.5760 + 41.3530i −1.16768 + 1.81695i
\(519\) −0.496663 2.61095i −0.0218011 0.114608i
\(520\) 1.64247 5.59373i 0.0720269 0.245301i
\(521\) −5.46189 37.9883i −0.239290 1.66430i −0.655626 0.755086i \(-0.727595\pi\)
0.416336 0.909211i \(-0.363314\pi\)
\(522\) 2.71328 3.77146i 0.118757 0.165072i
\(523\) −37.8416 + 17.2817i −1.65470 + 0.755674i −1.00000 0.000217648i \(-0.999931\pi\)
−0.654696 + 0.755892i \(0.727203\pi\)
\(524\) 3.60057 + 12.2624i 0.157291 + 0.535685i
\(525\) 3.86971 + 7.55105i 0.168888 + 0.329555i
\(526\) 6.72035 + 0.966241i 0.293021 + 0.0421301i
\(527\) −0.370380 + 0.238029i −0.0161340 + 0.0103687i
\(528\) 4.52419 + 3.57563i 0.196890 + 0.155609i
\(529\) −1.38324 + 22.9584i −0.0601410 + 0.998190i
\(530\) 3.29335i 0.143054i
\(531\) 5.10315 5.30037i 0.221458 0.230016i
\(532\) 0.807317 5.61501i 0.0350016 0.243442i
\(533\) −36.4800 16.6599i −1.58012 0.721619i
\(534\) −11.9678 + 29.6855i −0.517897 + 1.28462i
\(535\) 4.28469 + 9.38216i 0.185243 + 0.405626i
\(536\) −5.27152 6.08366i −0.227695 0.262774i
\(537\) −13.3406 7.74537i −0.575691 0.334237i
\(538\) 9.10216 + 2.67264i 0.392422 + 0.115226i
\(539\) 37.0592 42.7686i 1.59625 1.84217i
\(540\) 4.39158 2.77741i 0.188984 0.119521i
\(541\) −4.25568 2.73496i −0.182966 0.117585i 0.445952 0.895057i \(-0.352865\pi\)
−0.628917 + 0.777472i \(0.716502\pi\)
\(542\) −4.66071 4.03853i −0.200195 0.173470i
\(543\) 9.73141 6.89424i 0.417615 0.295860i
\(544\) 5.73917 0.825169i 0.246065 0.0353788i
\(545\) 1.17710 1.01996i 0.0504213 0.0436903i
\(546\) −11.7784 + 48.0430i −0.504070 + 2.05605i
\(547\) −18.4259 + 5.41033i −0.787834 + 0.231329i −0.650812 0.759239i \(-0.725571\pi\)
−0.137022 + 0.990568i \(0.543753\pi\)
\(548\) 4.39527 9.62429i 0.187756 0.411129i
\(549\) −3.09374 34.1467i −0.132038 1.45735i
\(550\) 1.79997 + 2.80081i 0.0767511 + 0.119427i
\(551\) −1.79338 −0.0764005
\(552\) −8.27558 + 0.717532i −0.352232 + 0.0305402i
\(553\) 32.0050 1.36099
\(554\) −1.33564 2.07829i −0.0567458 0.0882981i
\(555\) 11.9633 + 12.6077i 0.507812 + 0.535168i
\(556\) 8.36344 18.3134i 0.354689 0.776660i
\(557\) −15.5246 + 4.55843i −0.657798 + 0.193147i −0.593563 0.804788i \(-0.702279\pi\)
−0.0642356 + 0.997935i \(0.520461\pi\)
\(558\) 0.139946 + 0.179741i 0.00592438 + 0.00760905i
\(559\) 16.6836 14.4564i 0.705641 0.611441i
\(560\) 4.84888 0.697164i 0.204903 0.0294605i
\(561\) −19.3286 27.2828i −0.816053 1.15188i
\(562\) −13.3976 11.6091i −0.565142 0.489699i
\(563\) −19.9942 12.8495i −0.842656 0.541542i 0.0466201 0.998913i \(-0.485155\pi\)
−0.889276 + 0.457370i \(0.848791\pi\)
\(564\) 9.98936 3.43028i 0.420628 0.144441i
\(565\) 6.89640 7.95886i 0.290134 0.334832i
\(566\) −5.60968 1.64715i −0.235793 0.0692350i
\(567\) −36.1597 + 25.2247i −1.51857 + 1.05934i
\(568\) 0.0893481 + 0.103113i 0.00374896 + 0.00432654i
\(569\) −15.6152 34.1925i −0.654623 1.43342i −0.887449 0.460905i \(-0.847525\pi\)
0.232827 0.972518i \(-0.425202\pi\)
\(570\) −1.86023 0.749958i −0.0779165 0.0314123i
\(571\) −7.74485 3.53695i −0.324112 0.148017i 0.246713 0.969088i \(-0.420649\pi\)
−0.570825 + 0.821072i \(0.693377\pi\)
\(572\) −2.76228 + 19.2120i −0.115497 + 0.803296i
\(573\) 2.80944 + 0.275139i 0.117366 + 0.0114941i
\(574\) 33.6988i 1.40656i
\(575\) −4.65344 1.15995i −0.194062 0.0483731i
\(576\) −0.693143 2.91883i −0.0288810 0.121618i
\(577\) 30.4170 19.5478i 1.26627 0.813785i 0.277145 0.960828i \(-0.410612\pi\)
0.989130 + 0.147043i \(0.0469755\pi\)
\(578\) −16.4499 2.36513i −0.684224 0.0983766i
\(579\) 26.5675 13.6151i 1.10411 0.565826i
\(580\) −0.436315 1.48595i −0.0181170 0.0617008i
\(581\) 45.4314 20.7478i 1.88481 0.860765i
\(582\) 1.07551 + 23.7903i 0.0445814 + 0.986138i
\(583\) −1.56044 10.8531i −0.0646266 0.449488i
\(584\) 2.00732 6.83631i 0.0830636 0.282889i
\(585\) 15.5064 + 8.08944i 0.641110 + 0.334457i
\(586\) −3.17510 + 4.94055i −0.131162 + 0.204092i
\(587\) 7.66289 11.9237i 0.316281 0.492143i −0.646320 0.763067i \(-0.723693\pi\)
0.962601 + 0.270924i \(0.0873291\pi\)
\(588\) −28.9222 + 5.50167i −1.19273 + 0.226885i
\(589\) 0.0247727 0.0843682i 0.00102074 0.00347633i
\(590\) −0.349037 2.42761i −0.0143696 0.0999431i
\(591\) −3.96457 + 0.179230i −0.163080 + 0.00737256i
\(592\) 9.12771 4.16848i 0.375146 0.171324i
\(593\) −4.66749 15.8960i −0.191671 0.652771i −0.998110 0.0614540i \(-0.980426\pi\)
0.806439 0.591317i \(-0.201392\pi\)
\(594\) −13.1563 + 11.2336i −0.539808 + 0.460920i
\(595\) −28.1147 4.04229i −1.15259 0.165718i
\(596\) 16.3214 10.4891i 0.668552 0.429652i
\(597\) −2.18289 + 2.76198i −0.0893398 + 0.113040i
\(598\) −16.0743 22.8764i −0.657328 0.935484i
\(599\) 0.452727i 0.0184979i −0.999957 0.00924896i \(-0.997056\pi\)
0.999957 0.00924896i \(-0.00294408\pi\)
\(600\) 0.168818 1.72380i 0.00689198 0.0703740i
\(601\) −1.63673 + 11.3837i −0.0667638 + 0.464352i 0.928824 + 0.370520i \(0.120821\pi\)
−0.995588 + 0.0938317i \(0.970088\pi\)
\(602\) 16.8734 + 7.70583i 0.687709 + 0.314066i
\(603\) 20.9723 11.9733i 0.854060 0.487590i
\(604\) −3.48753 7.63662i −0.141906 0.310730i
\(605\) −0.0553137 0.0638354i −0.00224882 0.00259528i
\(606\) 5.62575 9.68980i 0.228530 0.393621i
\(607\) −11.6500 3.42076i −0.472861 0.138844i 0.0366151 0.999329i \(-0.488342\pi\)
−0.509476 + 0.860485i \(0.670161\pi\)
\(608\) −0.758330 + 0.875159i −0.0307543 + 0.0354924i
\(609\) 4.26771 + 12.4281i 0.172936 + 0.503610i
\(610\) −9.61457 6.17891i −0.389283 0.250177i
\(611\) 26.8670 + 23.2804i 1.08692 + 0.941825i
\(612\) −0.911841 + 17.3707i −0.0368590 + 0.702167i
\(613\) 41.9749 6.03508i 1.69535 0.243755i 0.774194 0.632948i \(-0.218155\pi\)
0.921156 + 0.389194i \(0.127246\pi\)
\(614\) −12.7300 + 11.0306i −0.513740 + 0.445158i
\(615\) −11.5722 2.83709i −0.466636 0.114402i
\(616\) −15.6489 + 4.59493i −0.630512 + 0.185135i
\(617\) −4.69795 + 10.2871i −0.189132 + 0.414142i −0.980316 0.197437i \(-0.936738\pi\)
0.791183 + 0.611579i \(0.209465\pi\)
\(618\) 22.5253 21.3739i 0.906102 0.859786i
\(619\) −2.49418 3.88102i −0.100250 0.155991i 0.787505 0.616308i \(-0.211372\pi\)
−0.887755 + 0.460317i \(0.847736\pi\)
\(620\) 0.0759325 0.00304952
\(621\) 2.70485 24.7726i 0.108542 0.994092i
\(622\) −16.8734 −0.676562
\(623\) −48.9418 76.1549i −1.96081 3.05108i
\(624\) 7.32487 6.95045i 0.293229 0.278241i
\(625\) 0.415415 0.909632i 0.0166166 0.0363853i
\(626\) 18.3508 5.38827i 0.733444 0.215358i
\(627\) 6.48564 + 1.59004i 0.259011 + 0.0635003i
\(628\) −7.99157 + 6.92474i −0.318898 + 0.276327i
\(629\) −57.5898 + 8.28016i −2.29625 + 0.330152i
\(630\) −0.770391 + 14.6760i −0.0306931 + 0.584707i
\(631\) 2.98801 + 2.58913i 0.118951 + 0.103071i 0.712305 0.701870i \(-0.247651\pi\)
−0.593354 + 0.804941i \(0.702197\pi\)
\(632\) −5.49617 3.53217i −0.218626 0.140502i
\(633\) −6.12970 17.8504i −0.243634 0.709490i
\(634\) 0.115179 0.132924i 0.00457434 0.00527907i
\(635\) −12.3487 3.62592i −0.490045 0.143890i
\(636\) −2.86409 + 4.93311i −0.113568 + 0.195610i
\(637\) −64.8930 74.8906i −2.57116 2.96727i
\(638\) 2.14192 + 4.69014i 0.0847993 + 0.185685i
\(639\) −0.355465 + 0.202938i −0.0140620 + 0.00802809i
\(640\) −0.909632 0.415415i −0.0359564 0.0164207i
\(641\) 4.44630 30.9247i 0.175618 1.22145i −0.691138 0.722722i \(-0.742891\pi\)
0.866757 0.498731i \(-0.166200\pi\)
\(642\) −1.74123 + 17.7797i −0.0687210 + 0.701710i
\(643\) 17.6159i 0.694703i 0.937735 + 0.347351i \(0.112919\pi\)
−0.937735 + 0.347351i \(0.887081\pi\)
\(644\) 11.8745 20.2717i 0.467920 0.798818i
\(645\) 4.06675 5.14559i 0.160128 0.202608i
\(646\) 5.64844 3.63003i 0.222235 0.142822i
\(647\) −36.8500 5.29823i −1.44872 0.208295i −0.627373 0.778719i \(-0.715870\pi\)
−0.821350 + 0.570424i \(0.806779\pi\)
\(648\) 8.99353 0.341105i 0.353299 0.0133999i
\(649\) 2.30047 + 7.83468i 0.0903013 + 0.307538i
\(650\) 5.30304 2.42182i 0.208002 0.0949915i
\(651\) −0.643621 + 0.0290968i −0.0252255 + 0.00114040i
\(652\) −1.73898 12.0949i −0.0681038 0.473672i
\(653\) −2.00598 + 6.83173i −0.0785000 + 0.267346i −0.989386 0.145312i \(-0.953581\pi\)
0.910886 + 0.412658i \(0.135400\pi\)
\(654\) 2.65019 0.504126i 0.103630 0.0197129i
\(655\) −6.90943 + 10.7513i −0.269974 + 0.420088i
\(656\) −3.71911 + 5.78704i −0.145207 + 0.225946i
\(657\) 18.9510 + 9.88642i 0.739348 + 0.385706i
\(658\) −8.41597 + 28.6621i −0.328089 + 1.11737i
\(659\) −6.06757 42.2009i −0.236359 1.64391i −0.669662 0.742666i \(-0.733561\pi\)
0.433303 0.901248i \(-0.357348\pi\)
\(660\) 0.260430 + 5.76069i 0.0101372 + 0.224235i
\(661\) 10.2077 4.66170i 0.397033 0.181319i −0.206885 0.978365i \(-0.566333\pi\)
0.603918 + 0.797046i \(0.293605\pi\)
\(662\) 3.26284 + 11.1122i 0.126814 + 0.431889i
\(663\) −52.1044 + 26.7021i −2.02357 + 1.03702i
\(664\) −10.0917 1.45096i −0.391632 0.0563082i
\(665\) 4.77222 3.06692i 0.185059 0.118930i
\(666\) 6.95535 + 29.2890i 0.269514 + 1.13493i
\(667\) −6.87771 2.80373i −0.266306 0.108561i
\(668\) 3.30279i 0.127789i
\(669\) 36.8945 + 3.61322i 1.42642 + 0.139695i
\(670\) 1.14561 7.96790i 0.0442588 0.307827i
\(671\) 34.6120 + 15.8068i 1.33618 + 0.610213i
\(672\) 7.86942 + 3.17258i 0.303569 + 0.122385i
\(673\) 0.192056 + 0.420545i 0.00740323 + 0.0162108i 0.913297 0.407293i \(-0.133527\pi\)
−0.905894 + 0.423504i \(0.860800\pi\)
\(674\) 3.01225 + 3.47633i 0.116028 + 0.133903i
\(675\) 4.97490 + 1.50012i 0.191484 + 0.0577397i
\(676\) 20.1373 + 5.91285i 0.774513 + 0.227417i
\(677\) 0.961607 1.10975i 0.0369575 0.0426513i −0.736970 0.675926i \(-0.763744\pi\)
0.773927 + 0.633274i \(0.218290\pi\)
\(678\) 17.2516 5.92407i 0.662543 0.227512i
\(679\) −56.6622 36.4146i −2.17450 1.39746i
\(680\) 4.38198 + 3.79701i 0.168041 + 0.145609i
\(681\) 3.07504 + 4.34050i 0.117836 + 0.166328i
\(682\) −0.250232 + 0.0359779i −0.00958186 + 0.00137766i
\(683\) −13.5967 + 11.7816i −0.520265 + 0.450812i −0.874978 0.484163i \(-0.839124\pi\)
0.354713 + 0.934975i \(0.384579\pi\)
\(684\) −2.13423 2.74112i −0.0816043 0.104809i
\(685\) 10.1518 2.98085i 0.387882 0.113892i
\(686\) 20.3454 44.5502i 0.776791 1.70093i
\(687\) 14.1297 + 14.8909i 0.539083 + 0.568124i
\(688\) −2.04720 3.18551i −0.0780489 0.121447i
\(689\) −19.1998 −0.731456
\(690\) −5.96162 5.78438i −0.226955 0.220208i
\(691\) 34.0057 1.29364 0.646818 0.762644i \(-0.276099\pi\)
0.646818 + 0.762644i \(0.276099\pi\)
\(692\) −0.829595 1.29088i −0.0315365 0.0490717i
\(693\) −4.41492 48.7291i −0.167709 1.85106i
\(694\) −2.55948 + 5.60447i −0.0971564 + 0.212743i
\(695\) 19.3172 5.67205i 0.732744 0.215153i
\(696\) 0.638713 2.60525i 0.0242104 0.0987517i
\(697\) 30.1440 26.1199i 1.14178 0.989361i
\(698\) 17.7833 2.55686i 0.673109 0.0967785i
\(699\) 11.1332 7.88733i 0.421096 0.298326i
\(700\) 3.70222 + 3.20799i 0.139931 + 0.121251i
\(701\) −12.5471 8.06352i −0.473897 0.304555i 0.281804 0.959472i \(-0.409067\pi\)
−0.755701 + 0.654917i \(0.772704\pi\)
\(702\) 16.1920 + 25.6024i 0.611126 + 0.966300i
\(703\) 7.60946 8.78179i 0.286996 0.331211i
\(704\) 3.19447 + 0.937982i 0.120396 + 0.0353515i
\(705\) 9.13407 + 5.30310i 0.344009 + 0.199726i
\(706\) 7.16472 + 8.26852i 0.269648 + 0.311190i
\(707\) 13.1643 + 28.8259i 0.495096 + 1.08411i
\(708\) 1.58836 3.93985i 0.0596944 0.148069i
\(709\) −3.64079 1.66269i −0.136733 0.0624438i 0.345874 0.938281i \(-0.387583\pi\)
−0.482606 + 0.875837i \(0.660310\pi\)
\(710\) −0.0194172 + 0.135050i −0.000728715 + 0.00506832i
\(711\) 13.5941 14.1194i 0.509817 0.529520i
\(712\) 18.4793i 0.692542i
\(713\) 0.226904 0.284828i 0.00849763 0.0106669i
\(714\) −38.5976 30.5051i −1.44448 1.14162i
\(715\) −16.3284 + 10.4936i −0.610648 + 0.392439i
\(716\) −8.81559 1.26749i −0.329454 0.0473683i
\(717\) −18.2735 35.6575i −0.682437 1.33165i
\(718\) −1.88722 6.42730i −0.0704306 0.239865i
\(719\) −17.7331 + 8.09845i −0.661335 + 0.302021i −0.717663 0.696391i \(-0.754788\pi\)
0.0563280 + 0.998412i \(0.482061\pi\)
\(720\) 1.75199 2.43527i 0.0652928 0.0907571i
\(721\) 12.4987 + 86.9306i 0.465477 + 3.23746i
\(722\) 4.97512 16.9437i 0.185155 0.630580i
\(723\) 6.26070 + 32.9125i 0.232838 + 1.22403i
\(724\) 3.72259 5.79246i 0.138349 0.215275i
\(725\) 0.837282 1.30284i 0.0310959 0.0483861i
\(726\) −0.0273394 0.143723i −0.00101466 0.00533405i
\(727\) −9.65750 + 32.8904i −0.358177 + 1.21984i 0.561604 + 0.827406i \(0.310184\pi\)
−0.919781 + 0.392432i \(0.871634\pi\)
\(728\) 4.06438 + 28.2684i 0.150636 + 1.04770i
\(729\) −4.23054 + 26.6665i −0.156687 + 0.987648i
\(730\) 6.48106 2.95980i 0.239875 0.109547i
\(731\) 6.18560 + 21.0662i 0.228783 + 0.779163i
\(732\) −9.02811 17.6168i −0.333689 0.651134i
\(733\) −26.5003 3.81016i −0.978810 0.140732i −0.365703 0.930732i \(-0.619171\pi\)
−0.613107 + 0.790000i \(0.710081\pi\)
\(734\) 2.64245 1.69820i 0.0975345 0.0626816i
\(735\) −23.0979 18.2551i −0.851979 0.673351i
\(736\) −4.27644 + 2.17073i −0.157632 + 0.0800141i
\(737\) 26.8006i 0.987212i
\(738\) −14.8667 14.3135i −0.547250 0.526887i
\(739\) −1.20643 + 8.39090i −0.0443792 + 0.308664i 0.955526 + 0.294906i \(0.0952885\pi\)
−0.999905 + 0.0137578i \(0.995621\pi\)
\(740\) 9.12771 + 4.16848i 0.335541 + 0.153237i
\(741\) 4.37217 10.8449i 0.160616 0.398398i
\(742\) −6.70201 14.6754i −0.246039 0.538749i
\(743\) −16.7358 19.3142i −0.613978 0.708568i 0.360574 0.932731i \(-0.382581\pi\)
−0.974552 + 0.224163i \(0.928035\pi\)
\(744\) 0.113739 + 0.0660352i 0.00416988 + 0.00242097i
\(745\) 18.6154 + 5.46598i 0.682016 + 0.200258i
\(746\) −16.0805 + 18.5579i −0.588748 + 0.679451i
\(747\) 10.1437 28.8553i 0.371140 1.05576i
\(748\) −16.2397 10.4366i −0.593781 0.381600i
\(749\) −38.1856 33.0880i −1.39527 1.20901i
\(750\) 1.41332 1.00127i 0.0516070 0.0365611i
\(751\) −6.69390 + 0.962437i −0.244264 + 0.0351198i −0.263359 0.964698i \(-0.584830\pi\)
0.0190955 + 0.999818i \(0.493921\pi\)
\(752\) 4.60851 3.99329i 0.168055 0.145620i
\(753\) −4.71312 + 19.2244i −0.171756 + 0.700575i
\(754\) 8.66292 2.54366i 0.315485 0.0926347i
\(755\) 3.48753 7.63662i 0.126924 0.277925i
\(756\) −13.9171 + 21.3132i −0.506159 + 0.775154i
\(757\) 4.46861 + 6.95329i 0.162414 + 0.252722i 0.912917 0.408146i \(-0.133825\pi\)
−0.750502 + 0.660868i \(0.770188\pi\)
\(758\) −27.6454 −1.00413
\(759\) 22.3869 + 16.2374i 0.812594 + 0.589381i
\(760\) −1.15800 −0.0420051
\(761\) 26.9587 + 41.9485i 0.977250 + 1.52063i 0.848664 + 0.528933i \(0.177408\pi\)
0.128587 + 0.991698i \(0.458956\pi\)
\(762\) −15.3438 16.1704i −0.555849 0.585792i
\(763\) −3.16958 + 6.94040i −0.114746 + 0.251260i
\(764\) 1.56377 0.459165i 0.0565753 0.0166120i
\(765\) −13.7250 + 10.6862i −0.496228 + 0.386362i
\(766\) −13.3739 + 11.5885i −0.483217 + 0.418710i
\(767\) 14.1527 2.03485i 0.511023 0.0734740i
\(768\) −1.00127 1.41332i −0.0361301 0.0509987i
\(769\) −11.0690 9.59138i −0.399160 0.345874i 0.432033 0.901858i \(-0.357796\pi\)
−0.831193 + 0.555984i \(0.812342\pi\)
\(770\) −13.7205 8.81761i −0.494451 0.317765i
\(771\) 6.77622 2.32690i 0.244039 0.0838014i
\(772\) 11.2870 13.0259i 0.406227 0.468811i
\(773\) 29.4462 + 8.64619i 1.05911 + 0.310982i 0.764491 0.644634i \(-0.222990\pi\)
0.294616 + 0.955616i \(0.404808\pi\)