Properties

Label 76.2.k.a.59.4
Level $76$
Weight $2$
Character 76.59
Analytic conductor $0.607$
Analytic rank $0$
Dimension $48$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 76 = 2^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 76.k (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.606863055362\)
Analytic rank: \(0\)
Dimension: \(48\)
Relative dimension: \(8\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 59.4
Character \(\chi\) \(=\) 76.59
Dual form 76.2.k.a.67.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.800393 - 1.16592i) q^{2} +(1.21573 + 1.02012i) q^{3} +(-0.718743 + 1.86639i) q^{4} +(2.19521 - 0.798993i) q^{5} +(0.216316 - 2.23393i) q^{6} +(-1.56922 + 0.905989i) q^{7} +(2.75134 - 0.655847i) q^{8} +(-0.0835893 - 0.474059i) q^{9} +O(q^{10})\) \(q+(-0.800393 - 1.16592i) q^{2} +(1.21573 + 1.02012i) q^{3} +(-0.718743 + 1.86639i) q^{4} +(2.19521 - 0.798993i) q^{5} +(0.216316 - 2.23393i) q^{6} +(-1.56922 + 0.905989i) q^{7} +(2.75134 - 0.655847i) q^{8} +(-0.0835893 - 0.474059i) q^{9} +(-2.68860 - 1.91994i) q^{10} +(-1.01630 - 0.586764i) q^{11} +(-2.77773 + 1.53582i) q^{12} +(-2.13186 - 2.54065i) q^{13} +(2.31230 + 1.10444i) q^{14} +(3.48385 + 1.26802i) q^{15} +(-2.96682 - 2.68291i) q^{16} +(-1.18980 + 6.74770i) q^{17} +(-0.485810 + 0.476892i) q^{18} +(-2.39394 + 3.64267i) q^{19} +(-0.0865640 + 4.67139i) q^{20} +(-2.83196 - 0.499350i) q^{21} +(0.129323 + 1.65457i) q^{22} +(1.21130 - 3.32803i) q^{23} +(4.01392 + 2.00935i) q^{24} +(0.350354 - 0.293982i) q^{25} +(-1.25587 + 4.51909i) q^{26} +(2.76250 - 4.78479i) q^{27} +(-0.563063 - 3.57995i) q^{28} +(-0.974984 + 0.171916i) q^{29} +(-1.31004 - 5.07680i) q^{30} +(-5.07007 - 8.78162i) q^{31} +(-0.753441 + 5.60645i) q^{32} +(-0.636982 - 1.75009i) q^{33} +(8.81959 - 4.01359i) q^{34} +(-2.72089 + 3.24263i) q^{35} +(0.944857 + 0.184716i) q^{36} +3.26731i q^{37} +(6.16316 - 0.124428i) q^{38} -5.26347i q^{39} +(5.51576 - 3.63802i) q^{40} +(6.74550 - 8.03898i) q^{41} +(1.68447 + 3.70151i) q^{42} +(2.85313 + 7.83891i) q^{43} +(1.82559 - 1.47509i) q^{44} +(-0.562266 - 0.973873i) q^{45} +(-4.84974 + 1.25145i) q^{46} +(6.49876 - 1.14591i) q^{47} +(-0.869961 - 6.28818i) q^{48} +(-1.85837 + 3.21879i) q^{49} +(-0.623181 - 0.173184i) q^{50} +(-8.32990 + 6.98962i) q^{51} +(6.27409 - 2.15280i) q^{52} +(-0.859106 + 2.36038i) q^{53} +(-7.78977 + 0.608855i) q^{54} +(-2.69983 - 0.476052i) q^{55} +(-3.72326 + 3.52185i) q^{56} +(-6.62632 + 1.98640i) q^{57} +(0.980811 + 0.999154i) q^{58} +(-0.0105140 + 0.0596279i) q^{59} +(-4.87060 + 5.59083i) q^{60} +(2.43900 + 0.887725i) q^{61} +(-6.18062 + 12.9400i) q^{62} +(0.560662 + 0.668171i) q^{63} +(7.13973 - 3.60891i) q^{64} +(-6.70984 - 3.87393i) q^{65} +(-1.53063 + 2.14343i) q^{66} +(0.731326 + 4.14755i) q^{67} +(-11.7387 - 7.07049i) q^{68} +(4.86759 - 2.81031i) q^{69} +(5.95844 + 0.576966i) q^{70} +(14.6166 - 5.32002i) q^{71} +(-0.540892 - 1.24947i) q^{72} +(5.56052 + 4.66583i) q^{73} +(3.80943 - 2.61513i) q^{74} +0.725831 q^{75} +(-5.07802 - 7.08616i) q^{76} +2.12641 q^{77} +(-6.13679 + 4.21285i) q^{78} +(-2.92379 - 2.45335i) q^{79} +(-8.65642 - 3.51909i) q^{80} +(6.88247 - 2.50501i) q^{81} +(-14.7719 - 1.43038i) q^{82} +(-7.29036 + 4.20909i) q^{83} +(2.96743 - 4.92663i) q^{84} +(2.77949 + 15.7633i) q^{85} +(6.85593 - 9.60073i) q^{86} +(-1.36069 - 0.785594i) q^{87} +(-3.18102 - 0.947846i) q^{88} +(-4.45745 - 5.31218i) q^{89} +(-0.685425 + 1.43504i) q^{90} +(5.64715 + 2.05539i) q^{91} +(5.34079 + 4.65277i) q^{92} +(2.79445 - 15.8481i) q^{93} +(-6.53760 - 6.65987i) q^{94} +(-2.34474 + 9.90919i) q^{95} +(-6.63521 + 6.04732i) q^{96} +(9.53373 + 1.68105i) q^{97} +(5.24028 - 0.409584i) q^{98} +(-0.193208 + 0.530835i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 48q - 6q^{2} - 12q^{5} - 12q^{6} - 9q^{8} - 18q^{9} + O(q^{10}) \) \( 48q - 6q^{2} - 12q^{5} - 12q^{6} - 9q^{8} - 18q^{9} - 3q^{10} - 9q^{12} - 3q^{14} - 12q^{17} - 42q^{20} - 18q^{21} - 12q^{22} + 24q^{24} - 12q^{25} + 21q^{26} - 12q^{29} + 42q^{30} + 9q^{32} - 36q^{33} + 87q^{36} + 60q^{38} + 6q^{40} + 30q^{41} + 3q^{42} + 45q^{44} - 6q^{45} + 36q^{46} + 45q^{48} - 18q^{49} + 18q^{50} - 15q^{52} - 24q^{53} - 75q^{54} - 12q^{57} + 60q^{58} + 6q^{60} - 66q^{62} - 45q^{64} + 18q^{65} - 42q^{66} - 42q^{68} + 126q^{69} - 63q^{70} - 78q^{72} - 12q^{73} - 105q^{74} - 126q^{76} - 36q^{77} + 3q^{78} - 3q^{80} + 72q^{81} - 111q^{82} - 117q^{84} + 108q^{85} - 24q^{86} - 81q^{88} - 18q^{90} + 36q^{92} + 30q^{93} - 66q^{96} - 6q^{97} + 39q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/76\mathbb{Z}\right)^\times\).

\(n\) \(21\) \(39\)
\(\chi(n)\) \(e\left(\frac{1}{18}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.800393 1.16592i −0.565963 0.824431i
\(3\) 1.21573 + 1.02012i 0.701900 + 0.588964i 0.922314 0.386442i \(-0.126296\pi\)
−0.220413 + 0.975407i \(0.570741\pi\)
\(4\) −0.718743 + 1.86639i −0.359372 + 0.933195i
\(5\) 2.19521 0.798993i 0.981730 0.357320i 0.199217 0.979955i \(-0.436160\pi\)
0.782512 + 0.622635i \(0.213938\pi\)
\(6\) 0.216316 2.23393i 0.0883105 0.912000i
\(7\) −1.56922 + 0.905989i −0.593109 + 0.342432i −0.766326 0.642452i \(-0.777917\pi\)
0.173217 + 0.984884i \(0.444584\pi\)
\(8\) 2.75134 0.655847i 0.972745 0.231877i
\(9\) −0.0835893 0.474059i −0.0278631 0.158020i
\(10\) −2.68860 1.91994i −0.850209 0.607138i
\(11\) −1.01630 0.586764i −0.306427 0.176916i 0.338899 0.940823i \(-0.389945\pi\)
−0.645327 + 0.763907i \(0.723279\pi\)
\(12\) −2.77773 + 1.53582i −0.801861 + 0.443352i
\(13\) −2.13186 2.54065i −0.591270 0.704649i 0.384579 0.923092i \(-0.374347\pi\)
−0.975850 + 0.218443i \(0.929902\pi\)
\(14\) 2.31230 + 1.10444i 0.617989 + 0.295174i
\(15\) 3.48385 + 1.26802i 0.899525 + 0.327400i
\(16\) −2.96682 2.68291i −0.741704 0.670727i
\(17\) −1.18980 + 6.74770i −0.288569 + 1.63656i 0.403682 + 0.914899i \(0.367730\pi\)
−0.692251 + 0.721657i \(0.743381\pi\)
\(18\) −0.485810 + 0.476892i −0.114507 + 0.112404i
\(19\) −2.39394 + 3.64267i −0.549207 + 0.835686i
\(20\) −0.0865640 + 4.67139i −0.0193563 + 1.04456i
\(21\) −2.83196 0.499350i −0.617983 0.108967i
\(22\) 0.129323 + 1.65457i 0.0275717 + 0.352756i
\(23\) 1.21130 3.32803i 0.252574 0.693943i −0.747001 0.664822i \(-0.768507\pi\)
0.999576 0.0291203i \(-0.00927058\pi\)
\(24\) 4.01392 + 2.00935i 0.819337 + 0.410158i
\(25\) 0.350354 0.293982i 0.0700709 0.0587965i
\(26\) −1.25587 + 4.51909i −0.246297 + 0.886267i
\(27\) 2.76250 4.78479i 0.531644 0.920834i
\(28\) −0.563063 3.57995i −0.106409 0.676546i
\(29\) −0.974984 + 0.171916i −0.181050 + 0.0319240i −0.263438 0.964676i \(-0.584856\pi\)
0.0823880 + 0.996600i \(0.473745\pi\)
\(30\) −1.31004 5.07680i −0.239179 0.926893i
\(31\) −5.07007 8.78162i −0.910611 1.57722i −0.813203 0.581980i \(-0.802278\pi\)
−0.0974082 0.995245i \(-0.531055\pi\)
\(32\) −0.753441 + 5.60645i −0.133191 + 0.991090i
\(33\) −0.636982 1.75009i −0.110884 0.304652i
\(34\) 8.81959 4.01359i 1.51255 0.688325i
\(35\) −2.72089 + 3.24263i −0.459915 + 0.548105i
\(36\) 0.944857 + 0.184716i 0.157476 + 0.0307860i
\(37\) 3.26731i 0.537143i 0.963260 + 0.268571i \(0.0865515\pi\)
−0.963260 + 0.268571i \(0.913448\pi\)
\(38\) 6.16316 0.124428i 0.999796 0.0201848i
\(39\) 5.26347i 0.842830i
\(40\) 5.51576 3.63802i 0.872119 0.575222i
\(41\) 6.74550 8.03898i 1.05347 1.25548i 0.0876811 0.996149i \(-0.472054\pi\)
0.965789 0.259328i \(-0.0835012\pi\)
\(42\) 1.68447 + 3.70151i 0.259920 + 0.571156i
\(43\) 2.85313 + 7.83891i 0.435098 + 1.19542i 0.942645 + 0.333798i \(0.108330\pi\)
−0.507546 + 0.861625i \(0.669447\pi\)
\(44\) 1.82559 1.47509i 0.275218 0.222378i
\(45\) −0.562266 0.973873i −0.0838176 0.145176i
\(46\) −4.84974 + 1.25145i −0.715055 + 0.184516i
\(47\) 6.49876 1.14591i 0.947942 0.167148i 0.321757 0.946822i \(-0.395727\pi\)
0.626185 + 0.779674i \(0.284615\pi\)
\(48\) −0.869961 6.28818i −0.125568 0.907621i
\(49\) −1.85837 + 3.21879i −0.265481 + 0.459827i
\(50\) −0.623181 0.173184i −0.0881311 0.0244920i
\(51\) −8.32990 + 6.98962i −1.16642 + 0.978743i
\(52\) 6.27409 2.15280i 0.870060 0.298540i
\(53\) −0.859106 + 2.36038i −0.118007 + 0.324223i −0.984607 0.174781i \(-0.944078\pi\)
0.866600 + 0.499003i \(0.166301\pi\)
\(54\) −7.78977 + 0.608855i −1.06005 + 0.0828547i
\(55\) −2.69983 0.476052i −0.364044 0.0641908i
\(56\) −3.72326 + 3.52185i −0.497542 + 0.470627i
\(57\) −6.62632 + 1.98640i −0.877678 + 0.263105i
\(58\) 0.980811 + 0.999154i 0.128787 + 0.131195i
\(59\) −0.0105140 + 0.0596279i −0.00136881 + 0.00776289i −0.985485 0.169765i \(-0.945699\pi\)
0.984116 + 0.177528i \(0.0568101\pi\)
\(60\) −4.87060 + 5.59083i −0.628792 + 0.721774i
\(61\) 2.43900 + 0.887725i 0.312283 + 0.113662i 0.493407 0.869799i \(-0.335751\pi\)
−0.181124 + 0.983460i \(0.557974\pi\)
\(62\) −6.18062 + 12.9400i −0.784940 + 1.64339i
\(63\) 0.560662 + 0.668171i 0.0706367 + 0.0841816i
\(64\) 7.13973 3.60891i 0.892466 0.451114i
\(65\) −6.70984 3.87393i −0.832253 0.480502i
\(66\) −1.53063 + 2.14343i −0.188408 + 0.263838i
\(67\) 0.731326 + 4.14755i 0.0893456 + 0.506704i 0.996334 + 0.0855486i \(0.0272643\pi\)
−0.906988 + 0.421156i \(0.861625\pi\)
\(68\) −11.7387 7.07049i −1.42352 0.857423i
\(69\) 4.86759 2.81031i 0.585990 0.338321i
\(70\) 5.95844 + 0.576966i 0.712170 + 0.0689606i
\(71\) 14.6166 5.32002i 1.73468 0.631371i 0.735731 0.677274i \(-0.236839\pi\)
0.998946 + 0.0459036i \(0.0146167\pi\)
\(72\) −0.540892 1.24947i −0.0637448 0.147252i
\(73\) 5.56052 + 4.66583i 0.650810 + 0.546095i 0.907317 0.420448i \(-0.138127\pi\)
−0.256507 + 0.966542i \(0.582572\pi\)
\(74\) 3.80943 2.61513i 0.442837 0.304003i
\(75\) 0.725831 0.0838118
\(76\) −5.07802 7.08616i −0.582489 0.812839i
\(77\) 2.12641 0.242326
\(78\) −6.13679 + 4.21285i −0.694855 + 0.477011i
\(79\) −2.92379 2.45335i −0.328952 0.276024i 0.463320 0.886191i \(-0.346658\pi\)
−0.792273 + 0.610167i \(0.791102\pi\)
\(80\) −8.65642 3.51909i −0.967817 0.393447i
\(81\) 6.88247 2.50501i 0.764718 0.278335i
\(82\) −14.7719 1.43038i −1.63128 0.157959i
\(83\) −7.29036 + 4.20909i −0.800220 + 0.462008i −0.843548 0.537053i \(-0.819537\pi\)
0.0433278 + 0.999061i \(0.486204\pi\)
\(84\) 2.96743 4.92663i 0.323773 0.537539i
\(85\) 2.77949 + 15.7633i 0.301478 + 1.70977i
\(86\) 6.85593 9.60073i 0.739294 1.03527i
\(87\) −1.36069 0.785594i −0.145881 0.0842245i
\(88\) −3.18102 0.947846i −0.339098 0.101041i
\(89\) −4.45745 5.31218i −0.472488 0.563090i 0.476186 0.879345i \(-0.342019\pi\)
−0.948674 + 0.316255i \(0.897574\pi\)
\(90\) −0.685425 + 1.43504i −0.0722502 + 0.151266i
\(91\) 5.64715 + 2.05539i 0.591982 + 0.215464i
\(92\) 5.34079 + 4.65277i 0.556815 + 0.485084i
\(93\) 2.79445 15.8481i 0.289771 1.64337i
\(94\) −6.53760 6.65987i −0.674302 0.686913i
\(95\) −2.34474 + 9.90919i −0.240565 + 1.01666i
\(96\) −6.63521 + 6.04732i −0.677203 + 0.617202i
\(97\) 9.53373 + 1.68105i 0.968004 + 0.170685i 0.635231 0.772322i \(-0.280905\pi\)
0.332773 + 0.943007i \(0.392016\pi\)
\(98\) 5.24028 0.409584i 0.529348 0.0413742i
\(99\) −0.193208 + 0.530835i −0.0194181 + 0.0533509i
\(100\) 0.296871 + 0.865196i 0.0296871 + 0.0865196i
\(101\) −1.07323 + 0.900546i −0.106790 + 0.0896076i −0.694619 0.719377i \(-0.744427\pi\)
0.587829 + 0.808985i \(0.299983\pi\)
\(102\) 14.8165 + 4.11757i 1.46706 + 0.407700i
\(103\) −2.55488 + 4.42519i −0.251740 + 0.436027i −0.964005 0.265884i \(-0.914336\pi\)
0.712265 + 0.701911i \(0.247670\pi\)
\(104\) −7.53173 5.59201i −0.738547 0.548342i
\(105\) −6.61573 + 1.16653i −0.645629 + 0.113842i
\(106\) 3.43963 0.887577i 0.334087 0.0862091i
\(107\) 0.566591 + 0.981364i 0.0547744 + 0.0948721i 0.892112 0.451813i \(-0.149223\pi\)
−0.837338 + 0.546685i \(0.815889\pi\)
\(108\) 6.94476 + 8.59494i 0.668259 + 0.827048i
\(109\) 0.407072 + 1.11842i 0.0389904 + 0.107125i 0.957660 0.287901i \(-0.0929575\pi\)
−0.918670 + 0.395027i \(0.870735\pi\)
\(110\) 1.60588 + 3.52881i 0.153115 + 0.336459i
\(111\) −3.33304 + 3.97216i −0.316358 + 0.377021i
\(112\) 7.08627 + 1.52217i 0.669590 + 0.143831i
\(113\) 7.84826i 0.738302i −0.929369 0.369151i \(-0.879648\pi\)
0.929369 0.369151i \(-0.120352\pi\)
\(114\) 7.61965 + 6.13587i 0.713645 + 0.574676i
\(115\) 8.27357i 0.771514i
\(116\) 0.379901 1.94326i 0.0352729 0.180427i
\(117\) −1.02622 + 1.22300i −0.0948736 + 0.113066i
\(118\) 0.0779367 0.0354672i 0.00717466 0.00326502i
\(119\) −4.24628 11.6666i −0.389256 1.06947i
\(120\) 10.4169 + 1.20387i 0.950925 + 0.109898i
\(121\) −4.81142 8.33362i −0.437402 0.757602i
\(122\) −0.917144 3.55422i −0.0830343 0.321784i
\(123\) 16.4014 2.89200i 1.47886 0.260763i
\(124\) 20.0340 3.15099i 1.79911 0.282968i
\(125\) −5.30603 + 9.19032i −0.474586 + 0.822007i
\(126\) 0.330285 1.18849i 0.0294241 0.105879i
\(127\) −7.87179 + 6.60521i −0.698508 + 0.586118i −0.921349 0.388737i \(-0.872911\pi\)
0.222841 + 0.974855i \(0.428467\pi\)
\(128\) −9.92229 5.43581i −0.877015 0.480463i
\(129\) −4.52797 + 12.4405i −0.398666 + 1.09532i
\(130\) 0.853813 + 10.9238i 0.0748844 + 0.958081i
\(131\) 6.12205 + 1.07948i 0.534886 + 0.0943148i 0.434565 0.900640i \(-0.356902\pi\)
0.100320 + 0.994955i \(0.468013\pi\)
\(132\) 3.72418 + 0.0690115i 0.324148 + 0.00600668i
\(133\) 0.456389 7.88503i 0.0395740 0.683719i
\(134\) 4.25037 4.17234i 0.367176 0.360435i
\(135\) 2.24127 12.7109i 0.192898 1.09398i
\(136\) 1.15191 + 19.3455i 0.0987753 + 1.65886i
\(137\) −2.75780 1.00376i −0.235615 0.0857568i 0.221514 0.975157i \(-0.428900\pi\)
−0.457129 + 0.889400i \(0.651122\pi\)
\(138\) −7.17258 3.42588i −0.610571 0.291630i
\(139\) −11.9779 14.2747i −1.01595 1.21077i −0.977376 0.211510i \(-0.932162\pi\)
−0.0385770 0.999256i \(-0.512282\pi\)
\(140\) −4.09639 7.40887i −0.346208 0.626164i
\(141\) 9.06968 + 5.23638i 0.763805 + 0.440983i
\(142\) −17.9018 12.7837i −1.50228 1.07279i
\(143\) 0.675855 + 3.83297i 0.0565179 + 0.320529i
\(144\) −1.02386 + 1.63071i −0.0853218 + 0.135892i
\(145\) −2.00294 + 1.15640i −0.166335 + 0.0960336i
\(146\) 0.989390 10.2176i 0.0818825 0.845617i
\(147\) −5.54280 + 2.01742i −0.457163 + 0.166394i
\(148\) −6.09808 2.34836i −0.501259 0.193034i
\(149\) −1.24200 1.04216i −0.101749 0.0853774i 0.590494 0.807042i \(-0.298933\pi\)
−0.692243 + 0.721665i \(0.743377\pi\)
\(150\) −0.580950 0.846262i −0.0474344 0.0690970i
\(151\) 8.25535 0.671811 0.335905 0.941896i \(-0.390958\pi\)
0.335905 + 0.941896i \(0.390958\pi\)
\(152\) −4.19750 + 11.5923i −0.340462 + 0.940258i
\(153\) 3.29826 0.266648
\(154\) −1.70196 2.47922i −0.137148 0.199781i
\(155\) −18.1463 15.2266i −1.45755 1.22303i
\(156\) 9.82369 + 3.78309i 0.786525 + 0.302889i
\(157\) −12.1664 + 4.42820i −0.970983 + 0.353409i −0.778328 0.627857i \(-0.783932\pi\)
−0.192655 + 0.981267i \(0.561710\pi\)
\(158\) −0.520234 + 5.37256i −0.0413876 + 0.427418i
\(159\) −3.45230 + 1.99318i −0.273785 + 0.158070i
\(160\) 2.82555 + 12.9094i 0.223379 + 1.02057i
\(161\) 1.11436 + 6.31984i 0.0878237 + 0.498073i
\(162\) −8.42932 6.01942i −0.662270 0.472930i
\(163\) 17.5402 + 10.1269i 1.37386 + 0.793196i 0.991411 0.130782i \(-0.0417487\pi\)
0.382445 + 0.923978i \(0.375082\pi\)
\(164\) 10.1556 + 18.3677i 0.793017 + 1.43428i
\(165\) −2.79662 3.33288i −0.217717 0.259465i
\(166\) 10.7426 + 5.13105i 0.833788 + 0.398247i
\(167\) −0.241205 0.0877915i −0.0186650 0.00679351i 0.332671 0.943043i \(-0.392050\pi\)
−0.351336 + 0.936250i \(0.614272\pi\)
\(168\) −8.11917 + 0.483447i −0.626407 + 0.0372987i
\(169\) 0.347349 1.96991i 0.0267192 0.151532i
\(170\) 16.1541 15.8575i 1.23896 1.21621i
\(171\) 1.92695 + 0.830378i 0.147357 + 0.0635006i
\(172\) −16.6811 0.309112i −1.27192 0.0235696i
\(173\) −5.11056 0.901129i −0.388548 0.0685116i −0.0240384 0.999711i \(-0.507652\pi\)
−0.364510 + 0.931199i \(0.618764\pi\)
\(174\) 0.173145 + 2.21524i 0.0131261 + 0.167937i
\(175\) −0.283438 + 0.778740i −0.0214259 + 0.0588672i
\(176\) 1.44096 + 4.46747i 0.108616 + 0.336748i
\(177\) −0.0736095 + 0.0617657i −0.00553283 + 0.00464259i
\(178\) −2.62587 + 9.44886i −0.196817 + 0.708222i
\(179\) 0.140150 0.242747i 0.0104753 0.0181437i −0.860740 0.509044i \(-0.829999\pi\)
0.871216 + 0.490901i \(0.163332\pi\)
\(180\) 2.22175 0.349442i 0.165599 0.0260459i
\(181\) −20.5607 + 3.62540i −1.52826 + 0.269474i −0.873675 0.486511i \(-0.838269\pi\)
−0.654589 + 0.755985i \(0.727158\pi\)
\(182\) −2.12351 8.22925i −0.157405 0.609992i
\(183\) 2.05958 + 3.56730i 0.152249 + 0.263702i
\(184\) 1.15003 9.95097i 0.0847814 0.733596i
\(185\) 2.61056 + 7.17245i 0.191932 + 0.527329i
\(186\) −20.7143 + 9.42660i −1.51885 + 0.691192i
\(187\) 5.16850 6.15958i 0.377958 0.450433i
\(188\) −2.53223 + 12.9528i −0.184682 + 0.944683i
\(189\) 10.0112i 0.728206i
\(190\) 13.4300 5.19746i 0.974317 0.377064i
\(191\) 15.2578i 1.10401i 0.833840 + 0.552006i \(0.186138\pi\)
−0.833840 + 0.552006i \(0.813862\pi\)
\(192\) 12.3615 + 2.89590i 0.892112 + 0.208994i
\(193\) 2.65609 3.16541i 0.191190 0.227851i −0.661931 0.749565i \(-0.730263\pi\)
0.853120 + 0.521714i \(0.174707\pi\)
\(194\) −5.67075 12.4611i −0.407136 0.894654i
\(195\) −4.20548 11.5545i −0.301160 0.827431i
\(196\) −4.67182 5.78192i −0.333702 0.412994i
\(197\) −10.4337 18.0717i −0.743372 1.28756i −0.950951 0.309340i \(-0.899892\pi\)
0.207579 0.978218i \(-0.433441\pi\)
\(198\) 0.773554 0.199611i 0.0549741 0.0141857i
\(199\) −4.23509 + 0.746761i −0.300218 + 0.0529365i −0.321728 0.946832i \(-0.604264\pi\)
0.0215103 + 0.999769i \(0.493153\pi\)
\(200\) 0.771137 1.03862i 0.0545276 0.0734418i
\(201\) −3.34189 + 5.78833i −0.235719 + 0.408277i
\(202\) 1.90897 + 0.530509i 0.134315 + 0.0373265i
\(203\) 1.37421 1.15310i 0.0964506 0.0809317i
\(204\) −7.05829 20.5706i −0.494179 1.44023i
\(205\) 8.38474 23.0369i 0.585616 1.60897i
\(206\) 7.20433 0.563096i 0.501950 0.0392328i
\(207\) −1.67893 0.296041i −0.116694 0.0205763i
\(208\) −0.491498 + 13.2572i −0.0340793 + 0.919222i
\(209\) 4.57036 2.29739i 0.316138 0.158914i
\(210\) 6.65526 + 6.77973i 0.459257 + 0.467846i
\(211\) −2.59449 + 14.7141i −0.178612 + 1.01296i 0.755279 + 0.655403i \(0.227501\pi\)
−0.933891 + 0.357557i \(0.883610\pi\)
\(212\) −3.78790 3.29993i −0.260154 0.226640i
\(213\) 23.1969 + 8.44298i 1.58942 + 0.578503i
\(214\) 0.690698 1.44608i 0.0472151 0.0988518i
\(215\) 12.5265 + 14.9285i 0.854298 + 1.01811i
\(216\) 4.46249 14.9764i 0.303634 1.01901i
\(217\) 15.9121 + 9.18685i 1.08018 + 0.623644i
\(218\) 0.978173 1.36979i 0.0662503 0.0927739i
\(219\) 2.00039 + 11.3448i 0.135174 + 0.766608i
\(220\) 2.82898 4.69677i 0.190730 0.316656i
\(221\) 19.6800 11.3623i 1.32382 0.764308i
\(222\) 7.29896 + 0.706771i 0.489874 + 0.0474353i
\(223\) −15.6616 + 5.70034i −1.04878 + 0.381723i −0.808200 0.588907i \(-0.799558\pi\)
−0.240575 + 0.970631i \(0.577336\pi\)
\(224\) −3.89707 9.48036i −0.260384 0.633433i
\(225\) −0.168651 0.141515i −0.0112434 0.00943432i
\(226\) −9.15045 + 6.28169i −0.608679 + 0.417852i
\(227\) −7.67504 −0.509410 −0.254705 0.967019i \(-0.581978\pi\)
−0.254705 + 0.967019i \(0.581978\pi\)
\(228\) 1.05522 13.7950i 0.0698839 0.913597i
\(229\) 15.6098 1.03153 0.515763 0.856732i \(-0.327509\pi\)
0.515763 + 0.856732i \(0.327509\pi\)
\(230\) −9.64633 + 6.62210i −0.636060 + 0.436649i
\(231\) 2.58513 + 2.16918i 0.170089 + 0.142722i
\(232\) −2.56976 + 1.11244i −0.168713 + 0.0730352i
\(233\) 17.7513 6.46096i 1.16293 0.423272i 0.312786 0.949824i \(-0.398738\pi\)
0.850143 + 0.526552i \(0.176515\pi\)
\(234\) 2.24729 + 0.217609i 0.146910 + 0.0142255i
\(235\) 13.3506 7.70798i 0.870898 0.502813i
\(236\) −0.103732 0.0624803i −0.00675237 0.00406712i
\(237\) −1.05183 5.96522i −0.0683236 0.387482i
\(238\) −10.2036 + 14.2887i −0.661401 + 0.926196i
\(239\) −2.32121 1.34015i −0.150146 0.0866870i 0.423045 0.906109i \(-0.360961\pi\)
−0.573191 + 0.819422i \(0.694295\pi\)
\(240\) −6.93396 13.1088i −0.447585 0.846170i
\(241\) −4.69158 5.59121i −0.302211 0.360161i 0.593471 0.804855i \(-0.297757\pi\)
−0.895683 + 0.444694i \(0.853313\pi\)
\(242\) −5.86532 + 12.2799i −0.377037 + 0.789382i
\(243\) −4.65281 1.69348i −0.298478 0.108637i
\(244\) −3.40986 + 3.91409i −0.218294 + 0.250574i
\(245\) −1.50773 + 8.55075i −0.0963252 + 0.546287i
\(246\) −16.4994 16.8080i −1.05196 1.07164i
\(247\) 14.3583 1.68351i 0.913595 0.107119i
\(248\) −19.7089 20.8360i −1.25151 1.32309i
\(249\) −13.1568 2.31991i −0.833781 0.147018i
\(250\) 14.9621 1.16945i 0.946286 0.0739624i
\(251\) 3.91516 10.7568i 0.247122 0.678963i −0.752666 0.658402i \(-0.771233\pi\)
0.999789 0.0205610i \(-0.00654522\pi\)
\(252\) −1.65004 + 0.566170i −0.103943 + 0.0356654i
\(253\) −3.18382 + 2.67154i −0.200165 + 0.167959i
\(254\) 14.0017 + 3.89112i 0.878543 + 0.244150i
\(255\) −12.7013 + 21.9992i −0.795384 + 1.37765i
\(256\) 1.60400 + 15.9194i 0.100250 + 0.994962i
\(257\) 8.44341 1.48880i 0.526685 0.0928688i 0.0960181 0.995380i \(-0.469389\pi\)
0.430667 + 0.902511i \(0.358278\pi\)
\(258\) 18.1288 4.67803i 1.12865 0.291241i
\(259\) −2.96015 5.12713i −0.183935 0.318584i
\(260\) 12.0529 9.73881i 0.747490 0.603975i
\(261\) 0.162996 + 0.447829i 0.0100892 + 0.0277199i
\(262\) −3.64145 8.00183i −0.224970 0.494355i
\(263\) 19.3940 23.1129i 1.19589 1.42520i 0.316835 0.948481i \(-0.397380\pi\)
0.879053 0.476723i \(-0.158176\pi\)
\(264\) −2.90034 4.39733i −0.178504 0.270637i
\(265\) 5.86795i 0.360465i
\(266\) −9.55861 + 5.77901i −0.586076 + 0.354334i
\(267\) 11.0053i 0.673511i
\(268\) −8.26658 1.61609i −0.504962 0.0987183i
\(269\) −11.2344 + 13.3887i −0.684974 + 0.816321i −0.990738 0.135787i \(-0.956644\pi\)
0.305764 + 0.952107i \(0.401088\pi\)
\(270\) −16.6138 + 7.56054i −1.01108 + 0.460120i
\(271\) −3.44483 9.46458i −0.209258 0.574932i 0.790014 0.613089i \(-0.210073\pi\)
−0.999272 + 0.0381571i \(0.987851\pi\)
\(272\) 21.6334 16.8270i 1.31172 1.02029i
\(273\) 4.76865 + 8.25954i 0.288612 + 0.499890i
\(274\) 1.03702 + 4.01878i 0.0626488 + 0.242783i
\(275\) −0.528565 + 0.0932002i −0.0318737 + 0.00562019i
\(276\) 1.74658 + 11.1047i 0.105132 + 0.668425i
\(277\) 8.52155 14.7598i 0.512010 0.886828i −0.487893 0.872903i \(-0.662234\pi\)
0.999903 0.0139240i \(-0.00443230\pi\)
\(278\) −7.05616 + 25.3907i −0.423200 + 1.52283i
\(279\) −3.73920 + 3.13756i −0.223860 + 0.187841i
\(280\) −5.35943 + 10.7061i −0.320287 + 0.639810i
\(281\) −7.37539 + 20.2637i −0.439979 + 1.20883i 0.499527 + 0.866298i \(0.333507\pi\)
−0.939506 + 0.342533i \(0.888715\pi\)
\(282\) −1.15410 14.7657i −0.0687255 0.879284i
\(283\) 7.93108 + 1.39846i 0.471454 + 0.0831300i 0.404327 0.914614i \(-0.367506\pi\)
0.0671267 + 0.997744i \(0.478617\pi\)
\(284\) −0.576379 + 31.1041i −0.0342018 + 1.84569i
\(285\) −12.9591 + 9.65496i −0.767629 + 0.571911i
\(286\) 3.92799 3.85587i 0.232267 0.228002i
\(287\) −3.30195 + 18.7263i −0.194908 + 1.10538i
\(288\) 2.72077 0.111464i 0.160323 0.00656811i
\(289\) −28.1410 10.2425i −1.65535 0.602499i
\(290\) 2.95141 + 1.40970i 0.173313 + 0.0827802i
\(291\) 9.87555 + 11.7692i 0.578915 + 0.689924i
\(292\) −12.7048 + 7.02457i −0.743495 + 0.411082i
\(293\) −18.5727 10.7229i −1.08503 0.626441i −0.152779 0.988260i \(-0.548822\pi\)
−0.932248 + 0.361820i \(0.882156\pi\)
\(294\) 6.78857 + 4.84775i 0.395917 + 0.282726i
\(295\) 0.0245617 + 0.139297i 0.00143004 + 0.00811016i
\(296\) 2.14286 + 8.98948i 0.124551 + 0.522503i
\(297\) −5.61508 + 3.24187i −0.325820 + 0.188112i
\(298\) −0.220991 + 2.28222i −0.0128017 + 0.132205i
\(299\) −11.0377 + 4.01739i −0.638326 + 0.232332i
\(300\) −0.521686 + 1.35468i −0.0301196 + 0.0782127i
\(301\) −11.5792 9.71606i −0.667411 0.560025i
\(302\) −6.60752 9.62509i −0.380220 0.553861i
\(303\) −2.22341 −0.127732
\(304\) 16.8753 4.38443i 0.967867 0.251464i
\(305\) 6.06342 0.347191
\(306\) −2.63990 3.84551i −0.150913 0.219833i
\(307\) −6.36105 5.33755i −0.363044 0.304630i 0.442958 0.896542i \(-0.353929\pi\)
−0.806003 + 0.591912i \(0.798373\pi\)
\(308\) −1.52834 + 3.96870i −0.0870852 + 0.226138i
\(309\) −7.62025 + 2.77354i −0.433501 + 0.157781i
\(310\) −3.22880 + 33.3444i −0.183383 + 1.89384i
\(311\) −17.7153 + 10.2279i −1.00454 + 0.579972i −0.909589 0.415510i \(-0.863603\pi\)
−0.0949523 + 0.995482i \(0.530270\pi\)
\(312\) −3.45203 14.4816i −0.195433 0.819859i
\(313\) −1.09670 6.21967i −0.0619889 0.351557i −0.999988 0.00491871i \(-0.998434\pi\)
0.937999 0.346638i \(-0.112677\pi\)
\(314\) 14.9008 + 10.6407i 0.840902 + 0.600492i
\(315\) 1.76464 + 1.01881i 0.0994260 + 0.0574036i
\(316\) 6.68037 3.69361i 0.375800 0.207782i
\(317\) 11.1327 + 13.2675i 0.625277 + 0.745176i 0.981968 0.189047i \(-0.0605397\pi\)
−0.356692 + 0.934222i \(0.616095\pi\)
\(318\) 5.08709 + 2.42977i 0.285270 + 0.136255i
\(319\) 1.09175 + 0.397366i 0.0611265 + 0.0222482i
\(320\) 12.7897 13.6269i 0.714968 0.761768i
\(321\) −0.312286 + 1.77106i −0.0174301 + 0.0988509i
\(322\) 6.47651 6.35761i 0.360922 0.354296i
\(323\) −21.7313 20.4876i −1.20916 1.13996i
\(324\) −0.271397 + 14.6458i −0.0150776 + 0.813657i
\(325\) −1.49381 0.263399i −0.0828617 0.0146108i
\(326\) −2.23196 28.5560i −0.123617 1.58157i
\(327\) −0.646031 + 1.77496i −0.0357256 + 0.0981553i
\(328\) 13.2868 26.5420i 0.733642 1.46553i
\(329\) −9.15980 + 7.68599i −0.504996 + 0.423742i
\(330\) −1.64748 + 5.92826i −0.0906910 + 0.326340i
\(331\) 13.0657 22.6305i 0.718156 1.24388i −0.243573 0.969883i \(-0.578320\pi\)
0.961729 0.274001i \(-0.0883471\pi\)
\(332\) −2.61590 16.6319i −0.143566 0.912794i
\(333\) 1.54890 0.273112i 0.0848790 0.0149665i
\(334\) 0.0907009 + 0.351494i 0.00496293 + 0.0192329i
\(335\) 4.91928 + 8.52044i 0.268769 + 0.465522i
\(336\) 7.06218 + 9.07936i 0.385274 + 0.495320i
\(337\) −6.88630 18.9199i −0.375120 1.03063i −0.973353 0.229312i \(-0.926352\pi\)
0.598233 0.801323i \(-0.295870\pi\)
\(338\) −2.57478 + 1.17172i −0.140050 + 0.0637334i
\(339\) 8.00614 9.54134i 0.434834 0.518215i
\(340\) −31.4182 6.14214i −1.70389 0.333104i
\(341\) 11.8997i 0.644406i
\(342\) −0.574160 2.91130i −0.0310470 0.157425i
\(343\) 19.4185i 1.04850i
\(344\) 12.9911 + 19.6963i 0.700431 + 1.06195i
\(345\) 8.44000 10.0584i 0.454394 0.541526i
\(346\) 3.03981 + 6.67976i 0.163421 + 0.359106i
\(347\) 2.24633 + 6.17173i 0.120589 + 0.331316i 0.985270 0.171006i \(-0.0547016\pi\)
−0.864681 + 0.502321i \(0.832479\pi\)
\(348\) 2.44421 1.97493i 0.131023 0.105868i
\(349\) 16.1218 + 27.9239i 0.862983 + 1.49473i 0.869036 + 0.494748i \(0.164740\pi\)
−0.00605389 + 0.999982i \(0.501927\pi\)
\(350\) 1.13481 0.292831i 0.0606582 0.0156525i
\(351\) −18.0457 + 3.18195i −0.963209 + 0.169840i
\(352\) 4.05539 5.25577i 0.216153 0.280134i
\(353\) 2.45216 4.24727i 0.130516 0.226060i −0.793360 0.608753i \(-0.791670\pi\)
0.923875 + 0.382693i \(0.125003\pi\)
\(354\) 0.130930 + 0.0363860i 0.00695887 + 0.00193390i
\(355\) 27.8360 23.3572i 1.47738 1.23967i
\(356\) 13.1183 4.50124i 0.695271 0.238565i
\(357\) 6.73893 18.5150i 0.356662 0.979920i
\(358\) −0.395198 + 0.0308890i −0.0208869 + 0.00163254i
\(359\) −17.8834 3.15333i −0.943852 0.166427i −0.319514 0.947581i \(-0.603520\pi\)
−0.624337 + 0.781155i \(0.714631\pi\)
\(360\) −2.18569 2.31069i −0.115196 0.121784i
\(361\) −7.53813 17.4407i −0.396744 0.917929i
\(362\) 20.6836 + 21.0704i 1.08710 + 1.10743i
\(363\) 2.65189 15.0396i 0.139188 0.789375i
\(364\) −7.89501 + 9.06247i −0.413811 + 0.475003i
\(365\) 15.9345 + 5.79969i 0.834050 + 0.303569i
\(366\) 2.51071 5.25655i 0.131237 0.274764i
\(367\) 5.82470 + 6.94161i 0.304047 + 0.362349i 0.896335 0.443377i \(-0.146220\pi\)
−0.592288 + 0.805726i \(0.701775\pi\)
\(368\) −12.5225 + 6.62384i −0.652782 + 0.345292i
\(369\) −4.37480 2.52579i −0.227743 0.131487i
\(370\) 6.27304 8.78448i 0.326120 0.456683i
\(371\) −0.790348 4.48229i −0.0410328 0.232709i
\(372\) 27.5702 + 16.6062i 1.42945 + 0.860994i
\(373\) −11.9329 + 6.88948i −0.617864 + 0.356724i −0.776037 0.630688i \(-0.782773\pi\)
0.158173 + 0.987411i \(0.449440\pi\)
\(374\) −11.3184 1.09598i −0.585261 0.0566718i
\(375\) −15.8259 + 5.76015i −0.817245 + 0.297453i
\(376\) 17.1288 7.41497i 0.883348 0.382398i
\(377\) 2.51530 + 2.11059i 0.129545 + 0.108701i
\(378\) 11.6722 8.01288i 0.600356 0.412138i
\(379\) 1.11238 0.0571390 0.0285695 0.999592i \(-0.490905\pi\)
0.0285695 + 0.999592i \(0.490905\pi\)
\(380\) −16.8091 11.4983i −0.862290 0.589853i
\(381\) −16.3080 −0.835485
\(382\) 17.7893 12.2122i 0.910182 0.624830i
\(383\) 17.7814 + 14.9204i 0.908586 + 0.762394i 0.971850 0.235602i \(-0.0757063\pi\)
−0.0632632 + 0.997997i \(0.520151\pi\)
\(384\) −6.51764 16.7304i −0.332602 0.853767i
\(385\) 4.66791 1.69898i 0.237899 0.0865881i
\(386\) −5.81653 0.563224i −0.296053 0.0286674i
\(387\) 3.47761 2.00780i 0.176777 0.102062i
\(388\) −9.98981 + 16.5854i −0.507156 + 0.841997i
\(389\) 1.22008 + 6.91939i 0.0618603 + 0.350827i 0.999990 + 0.00454218i \(0.00144583\pi\)
−0.938129 + 0.346285i \(0.887443\pi\)
\(390\) −10.1055 + 14.1514i −0.511714 + 0.716582i
\(391\) 21.0153 + 12.1332i 1.06279 + 0.613603i
\(392\) −3.00197 + 10.0748i −0.151622 + 0.508853i
\(393\) 6.34154 + 7.55755i 0.319888 + 0.381228i
\(394\) −12.7191 + 26.6294i −0.640781 + 1.34157i
\(395\) −8.37857 3.04955i −0.421571 0.153439i
\(396\) −0.851877 0.742135i −0.0428085 0.0372937i
\(397\) −2.10220 + 11.9222i −0.105507 + 0.598357i 0.885510 + 0.464620i \(0.153809\pi\)
−0.991017 + 0.133737i \(0.957302\pi\)
\(398\) 4.26040 + 4.34008i 0.213554 + 0.217548i
\(399\) 8.59849 9.12047i 0.430463 0.456595i
\(400\) −1.82817 0.0677775i −0.0914083 0.00338887i
\(401\) 20.0520 + 3.53571i 1.00135 + 0.176565i 0.650207 0.759757i \(-0.274682\pi\)
0.351143 + 0.936322i \(0.385793\pi\)
\(402\) 9.42356 0.736553i 0.470004 0.0367359i
\(403\) −11.5023 + 31.6024i −0.572972 + 1.57423i
\(404\) −0.909393 2.65032i −0.0452440 0.131858i
\(405\) 13.1070 10.9981i 0.651292 0.546499i
\(406\) −2.44433 0.679288i −0.121310 0.0337125i
\(407\) 1.91714 3.32058i 0.0950291 0.164595i
\(408\) −18.3343 + 24.6940i −0.907682 + 1.22253i
\(409\) 14.9773 2.64089i 0.740578 0.130584i 0.209383 0.977834i \(-0.432854\pi\)
0.531195 + 0.847250i \(0.321743\pi\)
\(410\) −33.5703 + 8.66261i −1.65792 + 0.427816i
\(411\) −2.32878 4.03357i −0.114870 0.198961i
\(412\) −6.42282 7.94898i −0.316430 0.391618i
\(413\) −0.0375234 0.103095i −0.00184641 0.00507296i
\(414\) 0.998646 + 2.19445i 0.0490808 + 0.107852i
\(415\) −12.6409 + 15.0648i −0.620515 + 0.739502i
\(416\) 15.8502 10.0379i 0.777122 0.492150i
\(417\) 29.5730i 1.44820i
\(418\) −6.33665 3.48986i −0.309936 0.170695i
\(419\) 35.8245i 1.75014i 0.483993 + 0.875072i \(0.339186\pi\)
−0.483993 + 0.875072i \(0.660814\pi\)
\(420\) 2.57781 13.1860i 0.125784 0.643409i
\(421\) 14.5620 17.3544i 0.709711 0.845800i −0.283877 0.958861i \(-0.591621\pi\)
0.993588 + 0.113060i \(0.0360653\pi\)
\(422\) 19.2321 8.75209i 0.936204 0.426045i
\(423\) −1.08645 2.98501i −0.0528252 0.145136i
\(424\) −0.815649 + 7.05764i −0.0396114 + 0.342749i
\(425\) 1.56685 + 2.71387i 0.0760034 + 0.131642i
\(426\) −8.72278 33.8034i −0.422620 1.63778i
\(427\) −4.63160 + 0.816676i −0.224139 + 0.0395217i
\(428\) −2.23884 + 0.352130i −0.108218 + 0.0170209i
\(429\) −3.08841 + 5.34929i −0.149110 + 0.258266i
\(430\) 7.37931 26.5535i 0.355862 1.28052i
\(431\) 8.59711 7.21383i 0.414108 0.347478i −0.411808 0.911270i \(-0.635103\pi\)
0.825916 + 0.563793i \(0.190658\pi\)
\(432\) −21.0330 + 6.78406i −1.01195 + 0.326398i
\(433\) −6.89325 + 18.9391i −0.331269 + 0.910153i 0.656514 + 0.754314i \(0.272030\pi\)
−0.987782 + 0.155839i \(0.950192\pi\)
\(434\) −2.02478 25.9053i −0.0971926 1.24350i
\(435\) −3.61469 0.637367i −0.173311 0.0305594i
\(436\) −2.37999 0.0441028i −0.113981 0.00211214i
\(437\) 9.22315 + 12.3795i 0.441203 + 0.592191i
\(438\) 11.6260 11.4126i 0.555512 0.545313i
\(439\) 0.0844362 0.478862i 0.00402992 0.0228548i −0.982726 0.185064i \(-0.940751\pi\)
0.986756 + 0.162209i \(0.0518619\pi\)
\(440\) −7.74035 + 0.460891i −0.369007 + 0.0219721i
\(441\) 1.68123 + 0.611919i 0.0800587 + 0.0291390i
\(442\) −28.9992 13.8511i −1.37935 0.658828i
\(443\) −2.97644 3.54718i −0.141415 0.168531i 0.690688 0.723153i \(-0.257308\pi\)
−0.832103 + 0.554621i \(0.812863\pi\)
\(444\) −5.01800 9.07571i −0.238144 0.430714i
\(445\) −14.0294 8.09990i −0.665059 0.383972i
\(446\) 19.1815 + 13.6976i 0.908272 + 0.648601i
\(447\) −0.446808 2.53397i −0.0211333 0.119853i
\(448\) −7.93417 + 12.1317i −0.374854 + 0.573168i
\(449\) −18.4815 + 10.6703i −0.872196 + 0.503562i −0.868077 0.496429i \(-0.834644\pi\)
−0.00411831 + 0.999992i \(0.501311\pi\)
\(450\) −0.0300082 + 0.309901i −0.00141460 + 0.0146089i
\(451\) −11.5725 + 4.21203i −0.544926 + 0.198337i
\(452\) 14.6479 + 5.64088i 0.688980 + 0.265325i
\(453\) 10.0363 + 8.42141i 0.471544 + 0.395673i
\(454\) 6.14305 + 8.94849i 0.288307 + 0.419973i
\(455\) 14.0389 0.658156
\(456\) −16.9285 + 9.81112i −0.792749 + 0.459448i
\(457\) −15.4983 −0.724981 −0.362490 0.931987i \(-0.618073\pi\)
−0.362490 + 0.931987i \(0.618073\pi\)
\(458\) −12.4940 18.1998i −0.583805 0.850421i
\(459\) 28.9995 + 24.3335i 1.35358 + 1.13579i
\(460\) 15.4417 + 5.94657i 0.719973 + 0.277260i
\(461\) −12.0438 + 4.38359i −0.560937 + 0.204164i −0.606899 0.794779i \(-0.707587\pi\)
0.0459625 + 0.998943i \(0.485365\pi\)
\(462\) 0.459975 4.75025i 0.0214000 0.221002i
\(463\) 1.66871 0.963428i 0.0775513 0.0447743i −0.460723 0.887544i \(-0.652410\pi\)
0.538274 + 0.842770i \(0.319076\pi\)
\(464\) 3.35383 + 2.10575i 0.155698 + 0.0977570i
\(465\) −6.52811 37.0227i −0.302734 1.71689i
\(466\) −21.7410 15.5254i −1.00713 0.719198i
\(467\) −13.5965 7.84993i −0.629170 0.363251i 0.151261 0.988494i \(-0.451667\pi\)
−0.780430 + 0.625243i \(0.785000\pi\)
\(468\) −1.54500 2.79434i −0.0714177 0.129168i
\(469\) −4.90525 5.84585i −0.226503 0.269936i
\(470\) −19.6726 9.39634i −0.907430 0.433421i
\(471\) −19.3083 7.02764i −0.889679 0.323817i
\(472\) 0.0101791 + 0.170952i 0.000468533 + 0.00786871i
\(473\) 1.69994 9.64083i 0.0781633 0.443286i
\(474\) −6.11310 + 6.00087i −0.280784 + 0.275629i
\(475\) 0.232155 + 1.98000i 0.0106520 + 0.0908487i
\(476\) 24.8263 + 0.460048i 1.13791 + 0.0210863i
\(477\) 1.19077 + 0.209965i 0.0545215 + 0.00961362i
\(478\) 0.295369 + 3.77899i 0.0135098 + 0.172847i
\(479\) 11.6279 31.9475i 0.531294 1.45972i −0.326237 0.945288i \(-0.605781\pi\)
0.857531 0.514432i \(-0.171997\pi\)
\(480\) −9.73395 + 18.5766i −0.444292 + 0.847904i
\(481\) 8.30109 6.96544i 0.378497 0.317597i
\(482\) −2.76380 + 9.94517i −0.125888 + 0.452990i
\(483\) −5.09221 + 8.81997i −0.231704 + 0.401323i
\(484\) 19.0119 2.99025i 0.864179 0.135920i
\(485\) 22.2717 3.92711i 1.01131 0.178321i
\(486\) 1.74961 + 6.78026i 0.0793637 + 0.307559i
\(487\) 5.27931 + 9.14404i 0.239229 + 0.414356i 0.960493 0.278304i \(-0.0897721\pi\)
−0.721265 + 0.692660i \(0.756439\pi\)
\(488\) 7.29274 + 0.842820i 0.330127 + 0.0381527i
\(489\) 10.9936 + 30.2045i 0.497146 + 1.36590i
\(490\) 11.1763 5.08607i 0.504893 0.229765i
\(491\) −5.07112 + 6.04353i −0.228857 + 0.272741i −0.868237 0.496150i \(-0.834747\pi\)
0.639380 + 0.768891i \(0.279191\pi\)
\(492\) −6.39077 + 32.6900i −0.288118 + 1.47378i
\(493\) 6.78344i 0.305511i
\(494\) −13.4551 15.3931i −0.605373 0.692570i
\(495\) 1.31967i 0.0593147i
\(496\) −8.51831 + 39.6560i −0.382483 + 1.78061i
\(497\) −18.1168 + 21.5908i −0.812651 + 0.968480i
\(498\) 7.82581 + 17.1967i 0.350683 + 0.770601i
\(499\) 8.79309 + 24.1588i 0.393633 + 1.08150i 0.965330 + 0.261032i \(0.0840629\pi\)
−0.571697 + 0.820465i \(0.693715\pi\)
\(500\) −13.3390 16.5086i −0.596540 0.738287i
\(501\) −0.203682 0.352788i −0.00909985 0.0157614i
\(502\) −15.6752 + 4.04490i −0.699620 + 0.180533i
\(503\) −14.7564 + 2.60194i −0.657954 + 0.116015i −0.492650 0.870228i \(-0.663972\pi\)
−0.165304 + 0.986243i \(0.552861\pi\)
\(504\) 1.98079 + 1.47066i 0.0882313 + 0.0655082i
\(505\) −1.63644 + 2.83439i −0.0728205 + 0.126129i
\(506\) 5.66312 + 1.57380i 0.251756 + 0.0699640i
\(507\) 2.43182 2.04054i 0.108001 0.0906236i
\(508\) −6.67011 19.4393i −0.295938 0.862478i
\(509\) 10.0710 27.6698i 0.446388 1.22644i −0.488834 0.872377i \(-0.662578\pi\)
0.935221 0.354063i \(-0.115200\pi\)
\(510\) 35.8154 2.79936i 1.58593 0.123958i
\(511\) −12.9529 2.28394i −0.573001 0.101036i
\(512\) 17.2769 14.6119i 0.763539 0.645761i
\(513\) 10.8162 + 21.5174i 0.477546 + 0.950015i
\(514\) −8.49387 8.65272i −0.374648 0.381655i
\(515\) −2.07282 + 11.7556i −0.0913396 + 0.518012i
\(516\) −19.9644 17.3925i −0.878882 0.765661i
\(517\) −7.27710 2.64865i −0.320046 0.116487i
\(518\) −3.60854 + 7.55501i −0.158550 + 0.331948i
\(519\) −5.29378 6.30889i −0.232371 0.276929i
\(520\) −21.0017 6.25786i −0.920987 0.274425i
\(521\) 6.06882 + 3.50384i 0.265880 + 0.153506i 0.627014 0.779008i \(-0.284277\pi\)
−0.361134 + 0.932514i \(0.617610\pi\)
\(522\) 0.391672 0.548480i 0.0171430 0.0240063i
\(523\) −0.792369 4.49375i −0.0346479 0.196498i 0.962571 0.271031i \(-0.0873645\pi\)
−0.997219 + 0.0745329i \(0.976253\pi\)
\(524\) −6.41491 + 10.6502i −0.280237 + 0.465258i
\(525\) −1.13899 + 0.657595i −0.0497095 + 0.0286998i
\(526\) −42.4707 4.11251i −1.85181 0.179314i
\(527\) 65.2880 23.7629i 2.84399 1.03513i
\(528\) −2.80553 + 6.90117i −0.122095 + 0.300335i
\(529\) 8.01048 + 6.72159i 0.348282 + 0.292243i
\(530\) 6.84157 4.69666i 0.297179 0.204010i
\(531\) 0.0291460 0.00126483
\(532\) 14.3885 + 6.51911i 0.623821 + 0.282639i
\(533\) −34.8046 −1.50756
\(534\) −12.8313 + 8.80854i −0.555263 + 0.381183i
\(535\) 2.02789 + 1.70160i 0.0876734 + 0.0735667i
\(536\) 4.73228 + 10.9317i 0.204403 + 0.472177i
\(537\) 0.418014 0.152145i 0.0180386 0.00656552i
\(538\) 24.6021 + 2.38226i 1.06067 + 0.102706i
\(539\) 3.77733 2.18085i 0.162701 0.0939356i
\(540\) 22.1125 + 13.3189i 0.951571 + 0.573155i
\(541\) 4.56181 + 25.8713i 0.196127 + 1.11229i 0.910804 + 0.412839i \(0.135463\pi\)
−0.714677 + 0.699455i \(0.753426\pi\)
\(542\) −8.27774 + 11.5918i −0.355559 + 0.497909i
\(543\) −28.6945 16.5668i −1.23140 0.710949i
\(544\) −36.9342 11.7546i −1.58354 0.503972i
\(545\) 1.78722 + 2.12993i 0.0765561 + 0.0912361i
\(546\) 5.81318 12.1707i 0.248781 0.520860i
\(547\) −15.4174 5.61149i −0.659202 0.239930i −0.00931034 0.999957i \(-0.502964\pi\)
−0.649892 + 0.760027i \(0.725186\pi\)
\(548\) 3.85555 4.42569i 0.164701 0.189056i
\(549\) 0.216959 1.23044i 0.00925958 0.0525137i
\(550\) 0.531724 + 0.541668i 0.0226728 + 0.0230968i
\(551\) 1.70782 3.96310i 0.0727554 0.168834i
\(552\) 11.5493 10.9245i 0.491570 0.464978i
\(553\) 6.81078 + 1.20092i 0.289624 + 0.0510685i
\(554\) −24.0293 + 1.87815i −1.02091 + 0.0797949i
\(555\) −4.14300 + 11.3828i −0.175861 + 0.483173i
\(556\) 35.2512 12.0956i 1.49498 0.512967i
\(557\) 19.0248 15.9637i 0.806105 0.676402i −0.143570 0.989640i \(-0.545858\pi\)
0.949675 + 0.313238i \(0.101414\pi\)
\(558\) 6.65097 + 1.84833i 0.281558 + 0.0782460i
\(559\) 13.8334 23.9602i 0.585092 1.01341i
\(560\) 16.7721 2.32039i 0.708750 0.0980545i
\(561\) 12.5670 2.21590i 0.530578 0.0935552i
\(562\) 29.5291 7.61981i 1.24561 0.321422i
\(563\) 13.0593 + 22.6195i 0.550386 + 0.953296i 0.998247 + 0.0591929i \(0.0188527\pi\)
−0.447861 + 0.894103i \(0.647814\pi\)
\(564\) −16.2919 + 13.1639i −0.686013 + 0.554302i
\(565\) −6.27070 17.2286i −0.263810 0.724813i
\(566\) −4.71748 10.3663i −0.198291 0.435729i
\(567\) −8.53058 + 10.1664i −0.358251 + 0.426947i
\(568\) 36.7262 24.2235i 1.54100 1.01639i
\(569\) 19.9949i 0.838228i −0.907934 0.419114i \(-0.862341\pi\)
0.907934 0.419114i \(-0.137659\pi\)
\(570\) 21.6293 + 7.38150i 0.905950 + 0.309177i
\(571\) 2.58227i 0.108065i 0.998539 + 0.0540323i \(0.0172074\pi\)
−0.998539 + 0.0540323i \(0.982793\pi\)
\(572\) −7.63957 1.49351i −0.319427 0.0624467i
\(573\) −15.5647 + 18.5493i −0.650224 + 0.774907i
\(574\) 24.4762 11.1386i 1.02162 0.464914i
\(575\) −0.553997 1.52209i −0.0231033 0.0634757i
\(576\) −2.30764 3.08298i −0.0961517 0.128458i
\(577\) 3.12895 + 5.41949i 0.130260 + 0.225617i 0.923777 0.382932i \(-0.125086\pi\)
−0.793517 + 0.608548i \(0.791752\pi\)
\(578\) 10.5819 + 41.0082i 0.440150 + 1.70572i
\(579\) 6.45816 1.13875i 0.268392 0.0473248i
\(580\) −0.718689 4.56942i −0.0298419 0.189735i
\(581\) 7.62678 13.2100i 0.316412 0.548042i
\(582\) 5.81766 20.9341i 0.241150 0.867746i
\(583\) 2.25810 1.89477i 0.0935208 0.0784732i
\(584\) 18.3590 + 9.19044i 0.759699 + 0.380303i
\(585\) −1.27560 + 3.50468i −0.0527395 + 0.144900i
\(586\) 2.36333 + 30.2368i 0.0976284 + 1.24907i
\(587\) −14.1534 2.49562i −0.584172 0.103005i −0.126251 0.991998i \(-0.540295\pi\)
−0.457921 + 0.888993i \(0.651406\pi\)
\(588\) 0.218570 11.7950i 0.00901366 0.486419i
\(589\) 44.1260 + 2.55403i 1.81818 + 0.105237i
\(590\) 0.142750 0.140129i 0.00587691 0.00576902i
\(591\) 5.75071 32.6139i 0.236553 1.34156i
\(592\) 8.76590 9.69351i 0.360276 0.398401i
\(593\) −27.0613 9.84951i −1.11127 0.404471i −0.279814 0.960054i \(-0.590273\pi\)
−0.831461 + 0.555583i \(0.812495\pi\)
\(594\) 8.27403 + 3.95197i 0.339488 + 0.162151i
\(595\) −18.6430 22.2178i −0.764288 0.910843i
\(596\) 2.83776 1.56901i 0.116239 0.0642692i
\(597\) −5.91049 3.41243i −0.241900 0.139661i
\(598\) 13.5184 + 9.65358i 0.552810 + 0.394764i
\(599\) −1.65039 9.35980i −0.0674329 0.382431i −0.999782 0.0208721i \(-0.993356\pi\)
0.932349 0.361559i \(-0.117755\pi\)
\(600\) 1.99701 0.476034i 0.0815275 0.0194340i
\(601\) −17.3028 + 9.98979i −0.705797 + 0.407492i −0.809503 0.587116i \(-0.800263\pi\)
0.103706 + 0.994608i \(0.466930\pi\)
\(602\) −2.06029 + 21.2770i −0.0839712 + 0.867188i
\(603\) 1.90505 0.693382i 0.0775797 0.0282367i
\(604\) −5.93348 + 15.4077i −0.241430 + 0.626930i
\(605\) −17.2206 14.4498i −0.700117 0.587468i
\(606\) 1.77960 + 2.59232i 0.0722915 + 0.105306i
\(607\) −43.7982 −1.77771 −0.888857 0.458184i \(-0.848500\pi\)
−0.888857 + 0.458184i \(0.848500\pi\)
\(608\) −18.6188 16.1660i −0.755092 0.655619i
\(609\) 2.84696 0.115365
\(610\) −4.85312 7.06947i −0.196497 0.286235i
\(611\) −16.7658 14.0682i −0.678271 0.569137i
\(612\) −2.37060 + 6.15583i −0.0958258 + 0.248835i
\(613\) −25.5323 + 9.29299i −1.03124 + 0.375340i −0.801552 0.597925i \(-0.795992\pi\)
−0.229686 + 0.973265i \(0.573770\pi\)
\(614\) −1.13183 + 11.6886i −0.0456769 + 0.471714i
\(615\) 33.6938 19.4531i 1.35867 0.784427i
\(616\) 5.85046 1.39460i 0.235722 0.0561899i
\(617\) −5.50437 31.2169i −0.221598 1.25674i −0.869083 0.494666i \(-0.835291\pi\)
0.647486 0.762078i \(-0.275821\pi\)
\(618\) 9.33292 + 6.66468i 0.375425 + 0.268093i
\(619\) −16.1625 9.33144i −0.649627 0.375062i 0.138686 0.990336i \(-0.455712\pi\)
−0.788313 + 0.615274i \(0.789045\pi\)
\(620\) 41.4613 22.9241i 1.66512 0.920655i
\(621\) −12.5777 14.9895i −0.504726 0.601509i
\(622\) 26.1041 + 12.4683i 1.04668 + 0.499932i
\(623\) 11.8075 + 4.29757i 0.473057 + 0.172179i
\(624\) −14.1214 + 15.6158i −0.565309 + 0.625131i
\(625\) −4.70198 + 26.6662i −0.188079 + 1.06665i
\(626\) −6.37386 + 6.25684i −0.254751 + 0.250074i
\(627\) 7.89991 + 1.86930i 0.315492 + 0.0746525i
\(628\) 0.479758 25.8900i 0.0191444 1.03312i
\(629\) −22.0468 3.88745i −0.879064 0.155003i
\(630\) −0.224546 2.87288i −0.00894614 0.114458i
\(631\) −2.81070 + 7.72234i −0.111892 + 0.307422i −0.982982 0.183703i \(-0.941192\pi\)
0.871090 + 0.491124i \(0.163414\pi\)
\(632\) −9.65337 4.83245i −0.383990 0.192224i
\(633\) −18.1643 + 15.2416i −0.721966 + 0.605801i
\(634\) 6.55827 23.5991i 0.260462 0.937239i
\(635\) −12.0027 + 20.7894i −0.476314 + 0.825001i
\(636\) −1.23874 7.87591i −0.0491193 0.312300i
\(637\) 12.1396 2.14053i 0.480988 0.0848111i
\(638\) −0.410535 1.59095i −0.0162532 0.0629862i
\(639\) −3.74380 6.48445i −0.148102 0.256521i
\(640\) −26.1247 4.00494i −1.03267 0.158309i
\(641\) 0.149175 + 0.409855i 0.00589205 + 0.0161883i 0.942604 0.333913i \(-0.108369\pi\)
−0.936712 + 0.350102i \(0.886147\pi\)
\(642\) 2.31487 1.05344i 0.0913605 0.0415761i
\(643\) −31.5909 + 37.6485i −1.24582 + 1.48471i −0.433885 + 0.900968i \(0.642858\pi\)
−0.811937 + 0.583745i \(0.801587\pi\)
\(644\) −12.5962 2.46252i −0.496361 0.0970367i
\(645\) 30.9274i 1.21776i
\(646\) −6.49333 + 41.7352i −0.255477 + 1.64205i
\(647\) 0.588859i 0.0231504i 0.999933 + 0.0115752i \(0.00368459\pi\)
−0.999933 + 0.0115752i \(0.996315\pi\)
\(648\) 17.2931 11.4060i 0.679337 0.448069i
\(649\) 0.0456729 0.0544308i 0.00179282 0.00213660i
\(650\) 0.888532 + 1.95249i 0.0348511 + 0.0765829i
\(651\) 9.97311 + 27.4009i 0.390877 + 1.07393i
\(652\) −31.5076 + 25.4583i −1.23393 + 0.997023i
\(653\) 1.73320 + 3.00200i 0.0678255 + 0.117477i 0.897944 0.440110i \(-0.145061\pi\)
−0.830118 + 0.557587i \(0.811727\pi\)
\(654\) 2.58654 0.667440i 0.101142 0.0260990i
\(655\) 14.3017 2.52178i 0.558814 0.0985339i
\(656\) −41.5805 + 5.75260i −1.62345 + 0.224601i
\(657\) 1.74708 3.02603i 0.0681600 0.118057i
\(658\) 16.2927 + 4.52780i 0.635155 + 0.176512i
\(659\) 12.9715 10.8844i 0.505299 0.423996i −0.354172 0.935180i \(-0.615237\pi\)
0.859471 + 0.511184i \(0.170793\pi\)
\(660\) 8.23051 2.82410i 0.320372 0.109928i
\(661\) −8.54145 + 23.4675i −0.332224 + 0.912778i 0.655308 + 0.755362i \(0.272539\pi\)
−0.987532 + 0.157417i \(0.949683\pi\)
\(662\) −36.8430 + 2.87968i −1.43195 + 0.111922i
\(663\) 35.5163 + 6.26248i 1.37934 + 0.243215i
\(664\) −17.2977 + 16.3620i −0.671282 + 0.634968i
\(665\) −5.29821 17.6740i −0.205456 0.685368i
\(666\) −1.55815 1.58729i −0.0603772 0.0615064i
\(667\) −0.608861 + 3.45302i −0.0235752 + 0.133702i
\(668\) 0.337218 0.387083i 0.0130473 0.0149767i
\(669\) −24.8552 9.04655i −0.960957 0.349760i
\(670\) 5.99681 12.5552i 0.231677 0.485049i
\(671\) −1.95789 2.33332i −0.0755834 0.0900767i
\(672\) 4.93329 15.5010i 0.190306 0.597964i
\(673\) 41.4077 + 23.9068i 1.59615 + 0.921538i 0.992219 + 0.124502i \(0.0397334\pi\)
0.603932 + 0.797036i \(0.293600\pi\)
\(674\) −16.5474 + 23.1723i −0.637383 + 0.892562i
\(675\) −0.438790 2.48850i −0.0168890 0.0957824i
\(676\) 3.42697 + 2.06415i 0.131807 + 0.0793904i
\(677\) 1.82895 1.05594i 0.0702923 0.0405833i −0.464442 0.885604i \(-0.653745\pi\)
0.534734 + 0.845020i \(0.320412\pi\)
\(678\) −17.5325 1.69770i −0.673332 0.0651998i
\(679\) −16.4835 + 5.99952i −0.632580 + 0.230240i
\(680\) 17.9856 + 41.5472i 0.689717 + 1.59326i
\(681\) −9.33075 7.82943i −0.357555 0.300024i
\(682\) 13.8741 9.52445i 0.531268 0.364710i
\(683\) 22.6197 0.865518 0.432759 0.901510i \(-0.357540\pi\)
0.432759 + 0.901510i \(0.357540\pi\)
\(684\) −2.93479 + 2.99961i −0.112214 + 0.114693i
\(685\) −6.85596 −0.261953
\(686\) −22.6404 + 15.5424i −0.864415 + 0.593412i
\(687\) 18.9773 + 15.9238i 0.724028 + 0.607531i
\(688\) 12.5664 30.9113i 0.479088 1.17848i
\(689\) 7.82837 2.84929i 0.298237 0.108549i
\(690\) −18.4826 1.78970i −0.703621 0.0681328i
\(691\) 33.1606 19.1453i 1.26149 0.728320i 0.288125 0.957593i \(-0.406968\pi\)
0.973362 + 0.229273i \(0.0736347\pi\)
\(692\) 5.35503 8.89061i 0.203568 0.337970i
\(693\) −0.177745 1.00804i −0.00675196 0.0382923i
\(694\) 5.39781 7.55885i 0.204898 0.286930i
\(695\) −37.6995 21.7658i −1.43002 0.825624i
\(696\) −4.25894 1.26903i −0.161435 0.0481025i
\(697\) 46.2188 + 55.0814i 1.75066 + 2.08636i
\(698\) 19.6532 41.1468i 0.743885 1.55743i
\(699\) 28.1717 + 10.2537i 1.06555 + 0.387829i
\(700\) −1.24971 1.08872i −0.0472347 0.0411497i
\(701\) 4.55149 25.8128i 0.171908 0.974936i −0.769746 0.638351i \(-0.779617\pi\)
0.941653 0.336585i \(-0.109272\pi\)
\(702\) 18.1536 + 18.4931i 0.685162 + 0.697976i
\(703\) −11.9017 7.82174i −0.448883 0.295002i
\(704\) −9.37372 0.521581i −0.353285 0.0196578i
\(705\) 24.0937 + 4.24837i 0.907422 + 0.160003i
\(706\) −6.91468 + 0.540457i −0.260237 + 0.0203404i
\(707\) 0.868246 2.38549i 0.0326538 0.0897155i
\(708\) −0.0623725 0.181778i −0.00234410 0.00683162i
\(709\) −2.52308 + 2.11712i −0.0947563 + 0.0795100i −0.688935 0.724823i \(-0.741922\pi\)
0.594179 + 0.804333i \(0.297477\pi\)
\(710\) −49.5124 13.7597i −1.85817 0.516391i
\(711\) −0.918636 + 1.59112i −0.0344515 + 0.0596718i
\(712\) −15.7479 11.6922i −0.590178 0.438184i
\(713\) −35.3669 + 6.23614i −1.32450 + 0.233545i
\(714\) −26.9809 + 6.96225i −1.00973 + 0.260556i
\(715\) 4.54616 + 7.87418i 0.170017 + 0.294478i
\(716\) 0.352328 + 0.436047i 0.0131671 + 0.0162958i
\(717\) −1.45484 3.99715i −0.0543322 0.149276i
\(718\) 10.6372 + 23.3746i 0.396978 + 0.872332i
\(719\) −7.54270 + 8.98905i −0.281295 + 0.335235i −0.888129 0.459594i \(-0.847995\pi\)
0.606834 + 0.794829i \(0.292439\pi\)
\(720\) −0.944673 + 4.39781i −0.0352059 + 0.163897i
\(721\) 9.25879i 0.344815i
\(722\) −14.3010 + 22.7482i −0.532227 + 0.846602i
\(723\) 11.5833i 0.430789i
\(724\) 8.01144 40.9800i 0.297743 1.52301i
\(725\) −0.291050 + 0.346860i −0.0108093 + 0.0128820i
\(726\) −19.6575 + 8.94570i −0.729560 + 0.332006i
\(727\) 10.3765 + 28.5091i 0.384842 + 1.05734i 0.969292 + 0.245914i \(0.0790882\pi\)
−0.584450 + 0.811430i \(0.698690\pi\)
\(728\) 16.8852 + 1.95142i 0.625809 + 0.0723245i
\(729\) −14.9152 25.8340i −0.552416 0.956813i
\(730\) −5.99189 23.2204i −0.221770 0.859426i
\(731\) −56.2892 + 9.92531i −2.08193 + 0.367101i
\(732\) −8.13828 + 1.28001i −0.300799 + 0.0473105i
\(733\) 17.1805 29.7575i 0.634575 1.09912i −0.352029 0.935989i \(-0.614508\pi\)
0.986605 0.163128i \(-0.0521583\pi\)
\(734\) 3.43132 12.3472i 0.126652 0.455742i
\(735\) −10.5557 + 8.85732i −0.389354 + 0.326707i
\(736\) 17.7458 + 9.29860i 0.654119 + 0.342751i
\(737\) 1.69038 4.64429i 0.0622661 0.171075i
\(738\) 0.556684 + 7.12229i 0.0204918 + 0.262175i
\(739\) 15.7660 + 2.77998i 0.579963 + 0.102263i 0.455931 0.890015i \(-0.349306\pi\)
0.124032 + 0.992278i \(0.460417\pi\)
\(740\) −15.2629 0.282832i −0.561075 0.0103971i
\(741\) 19.1731 + 12.6004i 0.704342 + 0.462888i
\(742\) −4.59340 + 4.50907i −0.168629 + 0.165533i
\(743\) 0.0625726 0.354867i 0.00229557 0.0130188i −0.983638 0.180154i \(-0.942340\pi\)
0.985934 + 0.167135i \(0.0534516\pi\)
\(744\) −2.70545 45.4362i −0.0991866 1.66577i
\(745\) −3.55914 1.29542i −0.130397 0.0474606i
\(746\) 17.5836 + 8.39856i 0.643782 + 0.307493i
\(747\) 2.60475 + 3.10422i 0.0953028 + 0.113577i
\(748\) 7.78135 + 14.0736i 0.284514 + 0.514581i
\(749\) −1.77821 1.02665i −0.0649744 0.0375130i
\(750\) 19.3828 + 13.8413i 0.707759 + 0.505414i
\(751\) −7.31658 41.4944i −0.266986 1.51415i −0.763320 0.646021i \(-0.776432\pi\)
0.496334 0.868132i \(-0.334679\pi\)
\(752\) −22.3550 14.0359i −0.815203 0.511836i
\(753\) 15.7329 9.08342i 0.573340 0.331018i
\(754\) 0.447551 4.62195i 0.0162988 0.168321i
\(755\) 18.1223 6.59596i 0.659537 0.240052i
\(756\) −18.6848 7.19547i −0.679558 0.261697i
\(757\) 24.5988 + 20.6409i 0.894060 + 0.750205i 0.969020 0.246981i \(-0.0794386\pi\)
−0.0749606 + 0.997186i \(0.523883\pi\)
\(758\) −0.890339 1.29694i −0.0323386 0.0471071i
\(759\) −6.59594 −0.239418
\(760\) 0.0477436 + 28.8013i 0.00173184 + 1.04473i
\(761\) 45.1130 1.63535 0.817673 0.575683i \(-0.195264\pi\)
0.817673 + 0.575683i \(0.195264\pi\)
\(762\) 13.0528 + 19.0139i 0.472854 + 0.688800i
\(763\) −1.65206 1.38625i −0.0598087 0.0501854i
\(764\) −28.4769 10.9664i −1.03026 0.396751i
\(765\) 7.24038 2.63528i 0.261777 0.0952789i
\(766\) 3.16386 32.6738i 0.114315 1.18055i
\(767\) 0.173908 0.100406i 0.00627944 0.00362544i
\(768\) −14.2896 + 20.9899i −0.515632 + 0.757408i
\(769\) −5.36787 30.4427i −0.193570 1.09779i −0.914440 0.404722i \(-0.867368\pi\)
0.720870 0.693071i \(-0.243743\pi\)
\(770\) −5.71704 4.08257i −0.206028 0.147125i
\(771\) 11.7836 + 6.80328i 0.424377 + 0.245014i
\(772\) 3.99883 + 7.23241i 0.143921 + 0.260300i