Properties

Label 690.2.q.a.191.1
Level $690$
Weight $2$
Character 690.191
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 191.1
Character \(\chi\) \(=\) 690.191
Dual form 690.2.q.a.401.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.755750 - 0.654861i) q^{2} +(-1.72862 + 0.108947i) q^{3} +(0.142315 + 0.989821i) q^{4} +(0.415415 + 0.909632i) q^{5} +(1.37775 + 1.04967i) q^{6} +(-0.501114 - 1.70664i) q^{7} +(0.540641 - 0.841254i) q^{8} +(2.97626 - 0.376654i) q^{9} +O(q^{10})\) \(q+(-0.755750 - 0.654861i) q^{2} +(-1.72862 + 0.108947i) q^{3} +(0.142315 + 0.989821i) q^{4} +(0.415415 + 0.909632i) q^{5} +(1.37775 + 1.04967i) q^{6} +(-0.501114 - 1.70664i) q^{7} +(0.540641 - 0.841254i) q^{8} +(2.97626 - 0.376654i) q^{9} +(0.281733 - 0.959493i) q^{10} +(2.60869 + 3.01059i) q^{11} +(-0.353846 - 1.69552i) q^{12} +(-4.17264 - 1.22520i) q^{13} +(-0.738893 + 1.61795i) q^{14} +(-0.817196 - 1.52715i) q^{15} +(-0.959493 + 0.281733i) q^{16} +(0.367196 - 2.55390i) q^{17} +(-2.49596 - 1.66438i) q^{18} +(-4.19659 + 0.603379i) q^{19} +(-0.841254 + 0.540641i) q^{20} +(1.05217 + 2.89553i) q^{21} -3.98358i q^{22} +(2.41198 + 4.14516i) q^{23} +(-0.842911 + 1.51311i) q^{24} +(-0.654861 + 0.755750i) q^{25} +(2.35114 + 3.65844i) q^{26} +(-5.10379 + 0.975346i) q^{27} +(1.61795 - 0.738893i) q^{28} +(7.33758 + 1.05499i) q^{29} +(-0.382475 + 1.68929i) q^{30} +(1.37863 + 0.885989i) q^{31} +(0.909632 + 0.415415i) q^{32} +(-4.83743 - 4.91996i) q^{33} +(-1.94996 + 1.68965i) q^{34} +(1.34424 - 1.16479i) q^{35} +(0.796387 + 2.89236i) q^{36} +(10.1568 + 4.63847i) q^{37} +(3.56670 + 2.29218i) q^{38} +(7.34639 + 1.66331i) q^{39} +(0.989821 + 0.142315i) q^{40} +(-1.29057 + 0.589381i) q^{41} +(1.10100 - 2.87732i) q^{42} +(3.22523 + 5.01856i) q^{43} +(-2.60869 + 3.01059i) q^{44} +(1.57900 + 2.55083i) q^{45} +(0.891650 - 4.71221i) q^{46} +2.18845i q^{47} +(1.62791 - 0.591542i) q^{48} +(3.22728 - 2.07405i) q^{49} +(0.989821 - 0.142315i) q^{50} +(-0.356503 + 4.45473i) q^{51} +(0.618898 - 4.30453i) q^{52} +(6.35904 - 1.86718i) q^{53} +(4.49590 + 2.60516i) q^{54} +(-1.65484 + 3.62359i) q^{55} +(-1.70664 - 0.501114i) q^{56} +(7.18859 - 1.50022i) q^{57} +(-4.85451 - 5.60240i) q^{58} +(-1.96603 + 6.69569i) q^{59} +(1.39531 - 1.02621i) q^{60} +(-5.48943 + 8.54172i) q^{61} +(-0.461696 - 1.57239i) q^{62} +(-2.13426 - 4.89065i) q^{63} +(-0.415415 - 0.909632i) q^{64} +(-0.618898 - 4.30453i) q^{65} +(0.433997 + 6.88610i) q^{66} +(-1.43395 - 1.24253i) q^{67} +2.58016 q^{68} +(-4.62100 - 6.90263i) q^{69} -1.77869 q^{70} +(10.3094 + 8.93314i) q^{71} +(1.29223 - 2.70743i) q^{72} +(1.01988 + 7.09344i) q^{73} +(-4.63847 - 10.1568i) q^{74} +(1.04967 - 1.37775i) q^{75} +(-1.19448 - 4.06801i) q^{76} +(3.83073 - 5.96073i) q^{77} +(-4.46280 - 6.06791i) q^{78} +(1.98252 - 6.75183i) q^{79} +(-0.654861 - 0.755750i) q^{80} +(8.71626 - 2.24204i) q^{81} +(1.36131 + 0.399716i) q^{82} +(-1.07531 + 2.35459i) q^{83} +(-2.71632 + 1.45354i) q^{84} +(2.47565 - 0.726916i) q^{85} +(0.848990 - 5.90485i) q^{86} +(-12.7988 - 1.02427i) q^{87} +(3.94303 - 0.566922i) q^{88} +(11.8169 - 7.59427i) q^{89} +(0.477112 - 2.96182i) q^{90} +7.73514i q^{91} +(-3.75971 + 2.97735i) q^{92} +(-2.47965 - 1.38134i) q^{93} +(1.43313 - 1.65392i) q^{94} +(-2.29218 - 3.56670i) q^{95} +(-1.61767 - 0.618994i) q^{96} +(15.6483 - 7.14634i) q^{97} +(-3.79723 - 0.545959i) q^{98} +(8.89809 + 7.97772i) 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 \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).

\(n\) \(277\) \(461\) \(511\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{19}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.755750 0.654861i −0.534396 0.463056i
\(3\) −1.72862 + 0.108947i −0.998020 + 0.0629003i
\(4\) 0.142315 + 0.989821i 0.0711574 + 0.494911i
\(5\) 0.415415 + 0.909632i 0.185779 + 0.406800i
\(6\) 1.37775 + 1.04967i 0.562464 + 0.428526i
\(7\) −0.501114 1.70664i −0.189403 0.645048i −0.998364 0.0571848i \(-0.981788\pi\)
0.808960 0.587863i \(-0.200031\pi\)
\(8\) 0.540641 0.841254i 0.191145 0.297428i
\(9\) 2.97626 0.376654i 0.992087 0.125551i
\(10\) 0.281733 0.959493i 0.0890917 0.303418i
\(11\) 2.60869 + 3.01059i 0.786549 + 0.907726i 0.997564 0.0697567i \(-0.0222223\pi\)
−0.211015 + 0.977483i \(0.567677\pi\)
\(12\) −0.353846 1.69552i −0.102147 0.489455i
\(13\) −4.17264 1.22520i −1.15728 0.339809i −0.353906 0.935281i \(-0.615147\pi\)
−0.803376 + 0.595472i \(0.796965\pi\)
\(14\) −0.738893 + 1.61795i −0.197477 + 0.432415i
\(15\) −0.817196 1.52715i −0.210999 0.394309i
\(16\) −0.959493 + 0.281733i −0.239873 + 0.0704331i
\(17\) 0.367196 2.55390i 0.0890580 0.619412i −0.895593 0.444875i \(-0.853248\pi\)
0.984651 0.174537i \(-0.0558429\pi\)
\(18\) −2.49596 1.66438i −0.588304 0.392298i
\(19\) −4.19659 + 0.603379i −0.962765 + 0.138425i −0.605733 0.795668i \(-0.707120\pi\)
−0.357031 + 0.934092i \(0.616211\pi\)
\(20\) −0.841254 + 0.540641i −0.188110 + 0.120891i
\(21\) 1.05217 + 2.89553i 0.229602 + 0.631857i
\(22\) 3.98358i 0.849302i
\(23\) 2.41198 + 4.14516i 0.502933 + 0.864326i
\(24\) −0.842911 + 1.51311i −0.172059 + 0.308862i
\(25\) −0.654861 + 0.755750i −0.130972 + 0.151150i
\(26\) 2.35114 + 3.65844i 0.461096 + 0.717479i
\(27\) −5.10379 + 0.975346i −0.982225 + 0.187705i
\(28\) 1.61795 0.738893i 0.305764 0.139638i
\(29\) 7.33758 + 1.05499i 1.36256 + 0.195906i 0.784519 0.620105i \(-0.212910\pi\)
0.578036 + 0.816011i \(0.303819\pi\)
\(30\) −0.382475 + 1.68929i −0.0698301 + 0.308421i
\(31\) 1.37863 + 0.885989i 0.247608 + 0.159128i 0.658558 0.752530i \(-0.271167\pi\)
−0.410950 + 0.911658i \(0.634803\pi\)
\(32\) 0.909632 + 0.415415i 0.160802 + 0.0734357i
\(33\) −4.83743 4.91996i −0.842088 0.856454i
\(34\) −1.94996 + 1.68965i −0.334415 + 0.289772i
\(35\) 1.34424 1.16479i 0.227218 0.196886i
\(36\) 0.796387 + 2.89236i 0.132731 + 0.482061i
\(37\) 10.1568 + 4.63847i 1.66977 + 0.762559i 0.999796 + 0.0201761i \(0.00642269\pi\)
0.669976 + 0.742383i \(0.266305\pi\)
\(38\) 3.56670 + 2.29218i 0.578596 + 0.371841i
\(39\) 7.34639 + 1.66331i 1.17636 + 0.266342i
\(40\) 0.989821 + 0.142315i 0.156505 + 0.0225020i
\(41\) −1.29057 + 0.589381i −0.201552 + 0.0920459i −0.513634 0.858009i \(-0.671701\pi\)
0.312082 + 0.950055i \(0.398974\pi\)
\(42\) 1.10100 2.87732i 0.169887 0.443980i
\(43\) 3.22523 + 5.01856i 0.491844 + 0.765323i 0.995106 0.0988099i \(-0.0315036\pi\)
−0.503263 + 0.864133i \(0.667867\pi\)
\(44\) −2.60869 + 3.01059i −0.393275 + 0.453863i
\(45\) 1.57900 + 2.55083i 0.235384 + 0.380256i
\(46\) 0.891650 4.71221i 0.131467 0.694778i
\(47\) 2.18845i 0.319218i 0.987180 + 0.159609i \(0.0510233\pi\)
−0.987180 + 0.159609i \(0.948977\pi\)
\(48\) 1.62791 0.591542i 0.234968 0.0853818i
\(49\) 3.22728 2.07405i 0.461040 0.296293i
\(50\) 0.989821 0.142315i 0.139982 0.0201264i
\(51\) −0.356503 + 4.45473i −0.0499205 + 0.623787i
\(52\) 0.618898 4.30453i 0.0858257 0.596931i
\(53\) 6.35904 1.86718i 0.873481 0.256477i 0.185886 0.982571i \(-0.440484\pi\)
0.687595 + 0.726094i \(0.258666\pi\)
\(54\) 4.49590 + 2.60516i 0.611815 + 0.354517i
\(55\) −1.65484 + 3.62359i −0.223138 + 0.488605i
\(56\) −1.70664 0.501114i −0.228059 0.0669641i
\(57\) 7.18859 1.50022i 0.952151 0.198709i
\(58\) −4.85451 5.60240i −0.637428 0.735631i
\(59\) −1.96603 + 6.69569i −0.255956 + 0.871705i 0.726808 + 0.686840i \(0.241003\pi\)
−0.982764 + 0.184865i \(0.940815\pi\)
\(60\) 1.39531 1.02621i 0.180133 0.132484i
\(61\) −5.48943 + 8.54172i −0.702850 + 1.09366i 0.287861 + 0.957672i \(0.407056\pi\)
−0.990711 + 0.135984i \(0.956581\pi\)
\(62\) −0.461696 1.57239i −0.0586355 0.199694i
\(63\) −2.13426 4.89065i −0.268891 0.616164i
\(64\) −0.415415 0.909632i −0.0519269 0.113704i
\(65\) −0.618898 4.30453i −0.0767649 0.533911i
\(66\) 0.433997 + 6.88610i 0.0534213 + 0.847620i
\(67\) −1.43395 1.24253i −0.175185 0.151799i 0.562855 0.826556i \(-0.309703\pi\)
−0.738040 + 0.674757i \(0.764248\pi\)
\(68\) 2.58016 0.312891
\(69\) −4.62100 6.90263i −0.556303 0.830980i
\(70\) −1.77869 −0.212594
\(71\) 10.3094 + 8.93314i 1.22350 + 1.06017i 0.996267 + 0.0863280i \(0.0275133\pi\)
0.227233 + 0.973840i \(0.427032\pi\)
\(72\) 1.29223 2.70743i 0.152290 0.319073i
\(73\) 1.01988 + 7.09344i 0.119368 + 0.830224i 0.958254 + 0.285917i \(0.0922982\pi\)
−0.838886 + 0.544307i \(0.816793\pi\)
\(74\) −4.63847 10.1568i −0.539211 1.18071i
\(75\) 1.04967 1.37775i 0.121205 0.159089i
\(76\) −1.19448 4.06801i −0.137016 0.466633i
\(77\) 3.83073 5.96073i 0.436552 0.679288i
\(78\) −4.46280 6.06791i −0.505312 0.687055i
\(79\) 1.98252 6.75183i 0.223051 0.759641i −0.769590 0.638539i \(-0.779539\pi\)
0.992640 0.121102i \(-0.0386427\pi\)
\(80\) −0.654861 0.755750i −0.0732157 0.0844954i
\(81\) 8.71626 2.24204i 0.968474 0.249116i
\(82\) 1.36131 + 0.399716i 0.150331 + 0.0441412i
\(83\) −1.07531 + 2.35459i −0.118030 + 0.258450i −0.959421 0.281977i \(-0.909010\pi\)
0.841391 + 0.540427i \(0.181737\pi\)
\(84\) −2.71632 + 1.45354i −0.296375 + 0.158594i
\(85\) 2.47565 0.726916i 0.268522 0.0788451i
\(86\) 0.848990 5.90485i 0.0915489 0.636737i
\(87\) −12.7988 1.02427i −1.37218 0.109813i
\(88\) 3.94303 0.566922i 0.420328 0.0604341i
\(89\) 11.8169 7.59427i 1.25259 0.804991i 0.265338 0.964155i \(-0.414516\pi\)
0.987252 + 0.159164i \(0.0508800\pi\)
\(90\) 0.477112 2.96182i 0.0502921 0.312203i
\(91\) 7.73514i 0.810863i
\(92\) −3.75971 + 2.97735i −0.391977 + 0.310410i
\(93\) −2.47965 1.38134i −0.257127 0.143239i
\(94\) 1.43313 1.65392i 0.147816 0.170589i
\(95\) −2.29218 3.56670i −0.235173 0.365936i
\(96\) −1.61767 0.618994i −0.165102 0.0631758i
\(97\) 15.6483 7.14634i 1.58884 0.725601i 0.592073 0.805885i \(-0.298310\pi\)
0.996772 + 0.0802835i \(0.0255826\pi\)
\(98\) −3.79723 0.545959i −0.383578 0.0551502i
\(99\) 8.89809 + 7.97772i 0.894292 + 0.801791i
\(100\) −0.841254 0.540641i −0.0841254 0.0540641i
\(101\) −1.88213 0.859541i −0.187279 0.0855276i 0.319568 0.947563i \(-0.396462\pi\)
−0.506848 + 0.862036i \(0.669189\pi\)
\(102\) 3.18666 3.13320i 0.315526 0.310233i
\(103\) −13.6577 + 11.8344i −1.34573 + 1.16608i −0.374694 + 0.927149i \(0.622252\pi\)
−0.971036 + 0.238933i \(0.923202\pi\)
\(104\) −3.28660 + 2.84786i −0.322278 + 0.279255i
\(105\) −2.19678 + 2.15993i −0.214384 + 0.210788i
\(106\) −6.02859 2.75316i −0.585548 0.267411i
\(107\) 2.99346 + 1.92378i 0.289388 + 0.185979i 0.677278 0.735727i \(-0.263159\pi\)
−0.387890 + 0.921706i \(0.626796\pi\)
\(108\) −1.69176 4.91304i −0.162790 0.472757i
\(109\) −6.99041 1.00507i −0.669560 0.0962681i −0.200852 0.979622i \(-0.564371\pi\)
−0.468707 + 0.883353i \(0.655280\pi\)
\(110\) 3.62359 1.65484i 0.345496 0.157783i
\(111\) −18.0626 6.91160i −1.71443 0.656020i
\(112\) 0.961630 + 1.49633i 0.0908655 + 0.141389i
\(113\) −2.00155 + 2.30991i −0.188290 + 0.217298i −0.842044 0.539409i \(-0.818648\pi\)
0.653754 + 0.756707i \(0.273193\pi\)
\(114\) −6.41520 3.57373i −0.600839 0.334711i
\(115\) −2.76860 + 3.91598i −0.258173 + 0.365167i
\(116\) 7.41304i 0.688283i
\(117\) −12.8803 2.07486i −1.19079 0.191821i
\(118\) 5.87057 3.77279i 0.540430 0.347313i
\(119\) −4.54259 + 0.653125i −0.416418 + 0.0598719i
\(120\) −1.72653 0.138171i −0.157610 0.0126132i
\(121\) −0.692915 + 4.81933i −0.0629923 + 0.438121i
\(122\) 9.74228 2.86059i 0.882024 0.258986i
\(123\) 2.16669 1.15942i 0.195364 0.104541i
\(124\) −0.680772 + 1.49068i −0.0611351 + 0.133867i
\(125\) −0.959493 0.281733i −0.0858197 0.0251989i
\(126\) −1.58973 + 5.09375i −0.141624 + 0.453787i
\(127\) −6.81253 7.86208i −0.604514 0.697646i 0.368175 0.929756i \(-0.379983\pi\)
−0.972690 + 0.232110i \(0.925437\pi\)
\(128\) −0.281733 + 0.959493i −0.0249019 + 0.0848080i
\(129\) −6.12196 8.32381i −0.539009 0.732871i
\(130\) −2.35114 + 3.65844i −0.206208 + 0.320866i
\(131\) 5.65287 + 19.2519i 0.493893 + 1.68205i 0.708799 + 0.705411i \(0.249238\pi\)
−0.214905 + 0.976635i \(0.568944\pi\)
\(132\) 4.18144 5.48837i 0.363948 0.477701i
\(133\) 3.13272 + 6.85970i 0.271641 + 0.594811i
\(134\) 0.270027 + 1.87808i 0.0233268 + 0.162241i
\(135\) −3.00740 4.23740i −0.258836 0.364697i
\(136\) −1.94996 1.68965i −0.167208 0.144886i
\(137\) −15.1894 −1.29771 −0.648857 0.760910i \(-0.724753\pi\)
−0.648857 + 0.760910i \(0.724753\pi\)
\(138\) −1.02795 + 8.24277i −0.0875045 + 0.701672i
\(139\) −3.17558 −0.269349 −0.134675 0.990890i \(-0.542999\pi\)
−0.134675 + 0.990890i \(0.542999\pi\)
\(140\) 1.34424 + 1.16479i 0.113609 + 0.0984428i
\(141\) −0.238424 3.78300i −0.0200789 0.318586i
\(142\) −1.94136 13.5024i −0.162915 1.13310i
\(143\) −7.19655 15.7582i −0.601806 1.31777i
\(144\) −2.74959 + 1.19991i −0.229132 + 0.0999922i
\(145\) 2.08849 + 7.11276i 0.173440 + 0.590682i
\(146\) 3.87444 6.02874i 0.320651 0.498942i
\(147\) −5.35279 + 3.93685i −0.441491 + 0.324706i
\(148\) −3.14579 + 10.7136i −0.258582 + 0.880650i
\(149\) −2.03073 2.34359i −0.166364 0.191994i 0.666446 0.745553i \(-0.267815\pi\)
−0.832810 + 0.553559i \(0.813269\pi\)
\(150\) −1.69552 + 0.353846i −0.138439 + 0.0288914i
\(151\) −16.5483 4.85903i −1.34668 0.395422i −0.472635 0.881258i \(-0.656697\pi\)
−0.874050 + 0.485836i \(0.838515\pi\)
\(152\) −1.76126 + 3.85661i −0.142857 + 0.312812i
\(153\) 0.130932 7.73938i 0.0105852 0.625692i
\(154\) −6.79852 + 1.99622i −0.547840 + 0.160860i
\(155\) −0.233222 + 1.62209i −0.0187328 + 0.130290i
\(156\) −0.600877 + 7.50833i −0.0481086 + 0.601147i
\(157\) −5.90372 + 0.848827i −0.471168 + 0.0677437i −0.373809 0.927506i \(-0.621949\pi\)
−0.0973588 + 0.995249i \(0.531039\pi\)
\(158\) −5.91980 + 3.80442i −0.470954 + 0.302664i
\(159\) −10.7889 + 3.92045i −0.855619 + 0.310912i
\(160\) 1.00000i 0.0790569i
\(161\) 5.86560 6.19357i 0.462274 0.488122i
\(162\) −8.05554 4.01351i −0.632903 0.315331i
\(163\) 1.86465 2.15193i 0.146051 0.168552i −0.678010 0.735052i \(-0.737158\pi\)
0.824061 + 0.566500i \(0.191703\pi\)
\(164\) −0.767049 1.19355i −0.0598965 0.0932007i
\(165\) 2.46581 6.44410i 0.191963 0.501673i
\(166\) 2.35459 1.07531i 0.182752 0.0834600i
\(167\) −17.3360 2.49253i −1.34150 0.192878i −0.566092 0.824342i \(-0.691545\pi\)
−0.775405 + 0.631464i \(0.782454\pi\)
\(168\) 3.00472 + 0.680303i 0.231819 + 0.0524865i
\(169\) 4.97351 + 3.19628i 0.382578 + 0.245868i
\(170\) −2.34700 1.07184i −0.180007 0.0822063i
\(171\) −12.2629 + 3.37648i −0.937767 + 0.258206i
\(172\) −4.50848 + 3.90662i −0.343768 + 0.297877i
\(173\) 12.5262 10.8540i 0.952346 0.825213i −0.0323529 0.999477i \(-0.510300\pi\)
0.984699 + 0.174264i \(0.0557546\pi\)
\(174\) 9.00197 + 9.15554i 0.682437 + 0.694080i
\(175\) 1.61795 + 0.738893i 0.122305 + 0.0558550i
\(176\) −3.35120 2.15368i −0.252606 0.162340i
\(177\) 2.66905 11.7885i 0.200618 0.886078i
\(178\) −13.9038 1.99907i −1.04214 0.149836i
\(179\) 7.93291 3.62284i 0.592934 0.270784i −0.0962655 0.995356i \(-0.530690\pi\)
0.689199 + 0.724572i \(0.257963\pi\)
\(180\) −2.30016 + 1.92595i −0.171443 + 0.143552i
\(181\) 11.3207 + 17.6154i 0.841462 + 1.30934i 0.949044 + 0.315144i \(0.102053\pi\)
−0.107582 + 0.994196i \(0.534311\pi\)
\(182\) 5.06544 5.84583i 0.375475 0.433322i
\(183\) 8.55856 15.3635i 0.632667 1.13570i
\(184\) 4.79115 + 0.211956i 0.353208 + 0.0156256i
\(185\) 11.1659i 0.820931i
\(186\) 0.969405 + 2.66777i 0.0710802 + 0.195611i
\(187\) 8.64664 5.55686i 0.632305 0.406358i
\(188\) −2.16617 + 0.311448i −0.157984 + 0.0227147i
\(189\) 4.22214 + 8.22156i 0.307116 + 0.598030i
\(190\) −0.603379 + 4.19659i −0.0437737 + 0.304453i
\(191\) 5.79726 1.70223i 0.419475 0.123169i −0.0651816 0.997873i \(-0.520763\pi\)
0.484657 + 0.874704i \(0.338944\pi\)
\(192\) 0.817196 + 1.52715i 0.0589761 + 0.110213i
\(193\) 3.59230 7.86603i 0.258579 0.566209i −0.735165 0.677888i \(-0.762895\pi\)
0.993744 + 0.111679i \(0.0356227\pi\)
\(194\) −16.5061 4.84662i −1.18507 0.347967i
\(195\) 1.53880 + 7.37348i 0.110196 + 0.528026i
\(196\) 2.51223 + 2.89927i 0.179445 + 0.207090i
\(197\) −5.70647 + 19.4344i −0.406569 + 1.38465i 0.461031 + 0.887384i \(0.347480\pi\)
−0.867600 + 0.497263i \(0.834339\pi\)
\(198\) −1.50043 11.8562i −0.106631 0.842581i
\(199\) 4.93275 7.67550i 0.349673 0.544102i −0.621214 0.783641i \(-0.713360\pi\)
0.970887 + 0.239539i \(0.0769964\pi\)
\(200\) 0.281733 + 0.959493i 0.0199215 + 0.0678464i
\(201\) 2.61413 + 1.99163i 0.184386 + 0.140479i
\(202\) 0.859541 + 1.88213i 0.0604771 + 0.132426i
\(203\) −1.87649 13.0513i −0.131704 0.916018i
\(204\) −4.46013 + 0.281100i −0.312271 + 0.0196809i
\(205\) −1.07224 0.929102i −0.0748885 0.0648913i
\(206\) 18.0717 1.25911
\(207\) 8.73998 + 11.4286i 0.607470 + 0.794342i
\(208\) 4.34880 0.301535
\(209\) −12.7641 11.0602i −0.882913 0.765049i
\(210\) 3.07467 0.193782i 0.212173 0.0133722i
\(211\) 0.799913 + 5.56352i 0.0550683 + 0.383008i 0.998653 + 0.0518783i \(0.0165208\pi\)
−0.943585 + 0.331130i \(0.892570\pi\)
\(212\) 2.75316 + 6.02859i 0.189088 + 0.414045i
\(213\) −18.7943 14.3188i −1.28776 0.981111i
\(214\) −1.00250 3.41419i −0.0685293 0.233389i
\(215\) −3.22523 + 5.01856i −0.219959 + 0.342263i
\(216\) −1.93881 + 4.82090i −0.131919 + 0.328020i
\(217\) 0.821213 2.79679i 0.0557475 0.189859i
\(218\) 4.62482 + 5.33732i 0.313232 + 0.361489i
\(219\) −2.53580 12.1508i −0.171353 0.821072i
\(220\) −3.82221 1.12230i −0.257694 0.0756657i
\(221\) −4.66121 + 10.2066i −0.313547 + 0.686572i
\(222\) 9.12470 + 17.0520i 0.612410 + 1.14445i
\(223\) 24.6793 7.24648i 1.65265 0.485260i 0.683131 0.730296i \(-0.260618\pi\)
0.969514 + 0.245035i \(0.0787995\pi\)
\(224\) 0.253133 1.76058i 0.0169132 0.117634i
\(225\) −1.66438 + 2.49596i −0.110959 + 0.166398i
\(226\) 3.02534 0.434978i 0.201242 0.0289343i
\(227\) 11.1252 7.14975i 0.738407 0.474545i −0.116589 0.993180i \(-0.537196\pi\)
0.854996 + 0.518635i \(0.173560\pi\)
\(228\) 2.50799 + 6.90191i 0.166096 + 0.457090i
\(229\) 24.9730i 1.65026i −0.564943 0.825130i \(-0.691102\pi\)
0.564943 0.825130i \(-0.308898\pi\)
\(230\) 4.65679 1.14645i 0.307059 0.0755948i
\(231\) −5.97247 + 10.7212i −0.392960 + 0.705402i
\(232\) 4.85451 5.60240i 0.318714 0.367816i
\(233\) 11.1082 + 17.2848i 0.727725 + 1.13236i 0.986074 + 0.166310i \(0.0531853\pi\)
−0.258349 + 0.966052i \(0.583178\pi\)
\(234\) 8.37556 + 10.0029i 0.547528 + 0.653910i
\(235\) −1.99068 + 0.909114i −0.129858 + 0.0593040i
\(236\) −6.90733 0.993125i −0.449629 0.0646469i
\(237\) −2.69143 + 11.8873i −0.174827 + 0.772166i
\(238\) 3.86076 + 2.48116i 0.250256 + 0.160830i
\(239\) −7.87155 3.59482i −0.509168 0.232529i 0.144229 0.989544i \(-0.453930\pi\)
−0.653397 + 0.757015i \(0.726657\pi\)
\(240\) 1.21434 + 1.23506i 0.0783855 + 0.0797228i
\(241\) 1.92865 1.67118i 0.124235 0.107650i −0.590527 0.807018i \(-0.701080\pi\)
0.714763 + 0.699367i \(0.246535\pi\)
\(242\) 3.67966 3.18844i 0.236538 0.204961i
\(243\) −14.8229 + 4.82525i −0.950886 + 0.309540i
\(244\) −9.23601 4.21794i −0.591275 0.270026i
\(245\) 3.22728 + 2.07405i 0.206184 + 0.132506i
\(246\) −2.39673 0.542648i −0.152810 0.0345979i
\(247\) 18.2501 + 2.62397i 1.16123 + 0.166959i
\(248\) 1.49068 0.680772i 0.0946584 0.0432291i
\(249\) 1.60227 4.18735i 0.101540 0.265363i
\(250\) 0.540641 + 0.841254i 0.0341931 + 0.0532055i
\(251\) 7.65373 8.83288i 0.483099 0.557526i −0.460909 0.887447i \(-0.652477\pi\)
0.944009 + 0.329921i \(0.107022\pi\)
\(252\) 4.53713 2.80855i 0.285812 0.176922i
\(253\) −6.18726 + 18.0749i −0.388990 + 1.13636i
\(254\) 10.4030i 0.652743i
\(255\) −4.20026 + 1.52628i −0.263031 + 0.0955791i
\(256\) 0.841254 0.540641i 0.0525783 0.0337901i
\(257\) −9.10237 + 1.30872i −0.567790 + 0.0816359i −0.420231 0.907417i \(-0.638051\pi\)
−0.147559 + 0.989053i \(0.547142\pi\)
\(258\) −0.824269 + 10.2998i −0.0513167 + 0.641234i
\(259\) 2.82645 19.6584i 0.175627 1.22151i
\(260\) 4.17264 1.22520i 0.258776 0.0759835i
\(261\) 22.2359 + 0.376178i 1.37637 + 0.0232849i
\(262\) 8.33516 18.2515i 0.514948 1.12758i
\(263\) −14.9914 4.40188i −0.924410 0.271431i −0.215315 0.976545i \(-0.569078\pi\)
−0.709095 + 0.705113i \(0.750896\pi\)
\(264\) −6.75424 + 1.40957i −0.415695 + 0.0867532i
\(265\) 4.34009 + 5.00873i 0.266610 + 0.307684i
\(266\) 2.12460 7.23571i 0.130267 0.443650i
\(267\) −19.5996 + 14.4150i −1.19948 + 0.882185i
\(268\) 1.02581 1.59619i 0.0626611 0.0975026i
\(269\) −4.36471 14.8648i −0.266121 0.906325i −0.978797 0.204832i \(-0.934335\pi\)
0.712676 0.701493i \(-0.247483\pi\)
\(270\) −0.502067 + 5.17184i −0.0305548 + 0.314748i
\(271\) −10.2546 22.4545i −0.622924 1.36401i −0.913373 0.407124i \(-0.866532\pi\)
0.290449 0.956891i \(-0.406195\pi\)
\(272\) 0.367196 + 2.55390i 0.0222645 + 0.154853i
\(273\) −0.842716 13.3711i −0.0510035 0.809257i
\(274\) 11.4794 + 9.94692i 0.693493 + 0.600915i
\(275\) −3.98358 −0.240219
\(276\) 6.17474 5.55631i 0.371676 0.334451i
\(277\) −25.9773 −1.56082 −0.780411 0.625267i \(-0.784990\pi\)
−0.780411 + 0.625267i \(0.784990\pi\)
\(278\) 2.39994 + 2.07956i 0.143939 + 0.124724i
\(279\) 4.43686 + 2.11767i 0.265628 + 0.126782i
\(280\) −0.253133 1.76058i −0.0151276 0.105215i
\(281\) −1.90201 4.16482i −0.113464 0.248452i 0.844377 0.535749i \(-0.179971\pi\)
−0.957842 + 0.287297i \(0.907243\pi\)
\(282\) −2.29715 + 3.01513i −0.136793 + 0.179548i
\(283\) 1.28605 + 4.37987i 0.0764474 + 0.260356i 0.988845 0.148949i \(-0.0475892\pi\)
−0.912397 + 0.409306i \(0.865771\pi\)
\(284\) −7.37503 + 11.4758i −0.437628 + 0.680962i
\(285\) 4.35089 + 5.91575i 0.257725 + 0.350419i
\(286\) −4.88067 + 16.6220i −0.288600 + 0.982881i
\(287\) 1.65258 + 1.90718i 0.0975487 + 0.112577i
\(288\) 2.86377 + 0.893767i 0.168749 + 0.0526657i
\(289\) 9.92380 + 2.91389i 0.583753 + 0.171405i
\(290\) 3.07949 6.74314i 0.180834 0.395971i
\(291\) −26.2714 + 14.0581i −1.54006 + 0.824103i
\(292\) −6.87609 + 2.01900i −0.402393 + 0.118153i
\(293\) −1.50900 + 10.4953i −0.0881565 + 0.613142i 0.897070 + 0.441888i \(0.145691\pi\)
−0.985227 + 0.171254i \(0.945218\pi\)
\(294\) 6.62345 + 0.530062i 0.386288 + 0.0309138i
\(295\) −6.90733 + 0.993125i −0.402161 + 0.0578220i
\(296\) 9.39332 6.03672i 0.545976 0.350877i
\(297\) −16.2506 12.8210i −0.942954 0.743952i
\(298\) 3.10101i 0.179637i
\(299\) −4.98568 20.2514i −0.288329 1.17117i
\(300\) 1.51311 + 0.842911i 0.0873594 + 0.0486655i
\(301\) 6.94865 8.01917i 0.400514 0.462217i
\(302\) 9.32441 + 14.5091i 0.536560 + 0.834903i
\(303\) 3.34714 + 1.28077i 0.192288 + 0.0735783i
\(304\) 3.85661 1.76126i 0.221192 0.101015i
\(305\) −10.0502 1.44500i −0.575474 0.0827406i
\(306\) −5.16717 + 5.76329i −0.295387 + 0.329466i
\(307\) −1.15983 0.745378i −0.0661951 0.0425410i 0.507125 0.861873i \(-0.330708\pi\)
−0.573320 + 0.819332i \(0.694345\pi\)
\(308\) 6.44523 + 2.94344i 0.367251 + 0.167718i
\(309\) 22.3196 21.9452i 1.26972 1.24842i
\(310\) 1.23850 1.07317i 0.0703423 0.0609519i
\(311\) −3.59857 + 3.11818i −0.204056 + 0.176816i −0.750894 0.660423i \(-0.770377\pi\)
0.546837 + 0.837239i \(0.315832\pi\)
\(312\) 5.37102 5.28093i 0.304074 0.298974i
\(313\) 24.6911 + 11.2761i 1.39563 + 0.637361i 0.964294 0.264833i \(-0.0853169\pi\)
0.431331 + 0.902194i \(0.358044\pi\)
\(314\) 5.01760 + 3.22461i 0.283159 + 0.181975i
\(315\) 3.56209 3.97304i 0.200701 0.223855i
\(316\) 6.96525 + 1.00145i 0.391826 + 0.0563361i
\(317\) 22.8616 10.4406i 1.28404 0.586400i 0.347734 0.937593i \(-0.386951\pi\)
0.936303 + 0.351193i \(0.114224\pi\)
\(318\) 10.7211 + 4.10238i 0.601209 + 0.230050i
\(319\) 15.9653 + 24.8426i 0.893888 + 1.39092i
\(320\) 0.654861 0.755750i 0.0366078 0.0422477i
\(321\) −5.38414 2.99936i −0.300513 0.167408i
\(322\) −8.48885 + 0.839633i −0.473065 + 0.0467909i
\(323\) 10.9392i 0.608676i
\(324\) 3.45968 + 8.30847i 0.192204 + 0.461582i
\(325\) 3.65844 2.35114i 0.202934 0.130418i
\(326\) −2.81842 + 0.405228i −0.156098 + 0.0224435i
\(327\) 12.1933 + 0.975803i 0.674289 + 0.0539620i
\(328\) −0.201913 + 1.40434i −0.0111488 + 0.0775415i
\(329\) 3.73488 1.09666i 0.205911 0.0604608i
\(330\) −6.08352 + 3.25536i −0.334887 + 0.179202i
\(331\) 8.42050 18.4383i 0.462833 1.01346i −0.524000 0.851718i \(-0.675561\pi\)
0.986833 0.161744i \(-0.0517119\pi\)
\(332\) −2.48366 0.729268i −0.136308 0.0400238i
\(333\) 31.9765 + 9.97968i 1.75230 + 0.546883i
\(334\) 11.4694 + 13.2364i 0.627577 + 0.724262i
\(335\) 0.534556 1.82053i 0.0292059 0.0994663i
\(336\) −1.82531 2.48181i −0.0995790 0.135394i
\(337\) 2.57375 4.00483i 0.140201 0.218157i −0.764051 0.645155i \(-0.776793\pi\)
0.904252 + 0.426998i \(0.140429\pi\)
\(338\) −1.66561 5.67254i −0.0905972 0.308546i
\(339\) 3.20826 4.21102i 0.174249 0.228711i
\(340\) 1.07184 + 2.34700i 0.0581286 + 0.127284i
\(341\) 0.929058 + 6.46174i 0.0503113 + 0.349923i
\(342\) 11.4788 + 5.47872i 0.620703 + 0.296255i
\(343\) −14.5666 12.6220i −0.786521 0.681524i
\(344\) 5.96558 0.321642
\(345\) 4.35922 7.07087i 0.234693 0.380683i
\(346\) −16.5745 −0.891050
\(347\) −0.994149 0.861435i −0.0533687 0.0462442i 0.627768 0.778400i \(-0.283969\pi\)
−0.681137 + 0.732156i \(0.738514\pi\)
\(348\) −0.807625 12.8143i −0.0432932 0.686920i
\(349\) −3.24718 22.5846i −0.173817 1.20893i −0.870727 0.491767i \(-0.836351\pi\)
0.696909 0.717159i \(-0.254558\pi\)
\(350\) −0.738893 1.61795i −0.0394955 0.0864830i
\(351\) 22.4913 + 2.18339i 1.20050 + 0.116541i
\(352\) 1.12230 + 3.82221i 0.0598190 + 0.203725i
\(353\) −7.57515 + 11.7872i −0.403184 + 0.627367i −0.982175 0.187967i \(-0.939810\pi\)
0.578991 + 0.815334i \(0.303447\pi\)
\(354\) −9.73697 + 7.16130i −0.517514 + 0.380619i
\(355\) −3.84319 + 13.0887i −0.203975 + 0.694677i
\(356\) 9.19869 + 10.6159i 0.487530 + 0.562639i
\(357\) 7.78126 1.62391i 0.411828 0.0859462i
\(358\) −8.36775 2.45699i −0.442249 0.129856i
\(359\) 1.96382 4.30017i 0.103647 0.226954i −0.850703 0.525647i \(-0.823823\pi\)
0.954349 + 0.298693i \(0.0965505\pi\)
\(360\) 2.99957 + 0.0507455i 0.158091 + 0.00267452i
\(361\) −0.983029 + 0.288643i −0.0517384 + 0.0151918i
\(362\) 2.97999 20.7263i 0.156625 1.08935i
\(363\) 0.672738 8.40629i 0.0353096 0.441216i
\(364\) −7.65641 + 1.10082i −0.401305 + 0.0576989i
\(365\) −6.02874 + 3.87444i −0.315559 + 0.202797i
\(366\) −16.5291 + 6.00626i −0.863987 + 0.313952i
\(367\) 2.79695i 0.146000i −0.997332 0.0729999i \(-0.976743\pi\)
0.997332 0.0729999i \(-0.0232573\pi\)
\(368\) −3.48210 3.29772i −0.181517 0.171905i
\(369\) −3.61907 + 2.24025i −0.188401 + 0.116623i
\(370\) 7.31209 8.43860i 0.380137 0.438702i
\(371\) −6.37320 9.91690i −0.330880 0.514860i
\(372\) 1.01439 2.65099i 0.0525938 0.137448i
\(373\) −4.59365 + 2.09785i −0.237850 + 0.108623i −0.530775 0.847513i \(-0.678099\pi\)
0.292924 + 0.956136i \(0.405372\pi\)
\(374\) −10.1737 1.46275i −0.526068 0.0756371i
\(375\) 1.68929 + 0.382475i 0.0872347 + 0.0197509i
\(376\) 1.84104 + 1.18316i 0.0949443 + 0.0610170i
\(377\) −29.3245 13.3921i −1.51029 0.689726i
\(378\) 2.19309 8.97835i 0.112801 0.461797i
\(379\) −21.2936 + 18.4510i −1.09378 + 0.947764i −0.998861 0.0477215i \(-0.984804\pi\)
−0.0949169 + 0.995485i \(0.530259\pi\)
\(380\) 3.20419 2.77645i 0.164371 0.142429i
\(381\) 12.6328 + 12.8483i 0.647199 + 0.658241i
\(382\) −5.49600 2.50994i −0.281200 0.128420i
\(383\) 20.7230 + 13.3179i 1.05890 + 0.680513i 0.949590 0.313495i \(-0.101500\pi\)
0.109309 + 0.994008i \(0.465136\pi\)
\(384\) 0.382475 1.68929i 0.0195181 0.0862064i
\(385\) 7.01341 + 1.00838i 0.357436 + 0.0513916i
\(386\) −7.86603 + 3.59230i −0.400370 + 0.182843i
\(387\) 11.4894 + 13.7218i 0.584039 + 0.697516i
\(388\) 9.30059 + 14.4720i 0.472166 + 0.734704i
\(389\) 5.43237 6.26929i 0.275432 0.317865i −0.601133 0.799149i \(-0.705284\pi\)
0.876565 + 0.481284i \(0.159829\pi\)
\(390\) 3.66565 6.58020i 0.185617 0.333202i
\(391\) 11.4720 4.63787i 0.580164 0.234547i
\(392\) 3.83628i 0.193761i
\(393\) −11.8691 32.6634i −0.598716 1.64765i
\(394\) 17.0395 10.9506i 0.858438 0.551685i
\(395\) 6.96525 1.00145i 0.350460 0.0503885i
\(396\) −6.63019 + 9.94287i −0.333179 + 0.499648i
\(397\) −3.54183 + 24.6339i −0.177759 + 1.23634i 0.684173 + 0.729319i \(0.260163\pi\)
−0.861933 + 0.507023i \(0.830746\pi\)
\(398\) −8.75431 + 2.57050i −0.438814 + 0.128847i
\(399\) −6.16262 11.5165i −0.308517 0.576547i
\(400\) 0.415415 0.909632i 0.0207708 0.0454816i
\(401\) −19.2771 5.66027i −0.962654 0.282661i −0.237608 0.971361i \(-0.576363\pi\)
−0.725046 + 0.688701i \(0.758181\pi\)
\(402\) −0.671384 3.21706i −0.0334856 0.160453i
\(403\) −4.66700 5.38600i −0.232480 0.268296i
\(404\) 0.582937 1.98530i 0.0290022 0.0987724i
\(405\) 5.66030 + 6.99721i 0.281263 + 0.347694i
\(406\) −7.12860 + 11.0923i −0.353786 + 0.550502i
\(407\) 12.5315 + 42.6783i 0.621163 + 2.11549i
\(408\) 3.55482 + 2.70832i 0.175990 + 0.134082i
\(409\) 13.8959 + 30.4278i 0.687109 + 1.50456i 0.854931 + 0.518742i \(0.173600\pi\)
−0.167821 + 0.985817i \(0.553673\pi\)
\(410\) 0.201913 + 1.40434i 0.00997178 + 0.0693552i
\(411\) 26.2566 1.65483i 1.29515 0.0816266i
\(412\) −13.6577 11.8344i −0.672865 0.583041i
\(413\) 12.4123 0.610770
\(414\) 0.878907 14.3606i 0.0431959 0.705786i
\(415\) −2.58851 −0.127065
\(416\) −3.28660 2.84786i −0.161139 0.139628i
\(417\) 5.48937 0.345968i 0.268816 0.0169421i
\(418\) 2.40361 + 16.7175i 0.117564 + 0.817678i
\(419\) 7.76515 + 17.0033i 0.379353 + 0.830666i 0.998953 + 0.0457489i \(0.0145674\pi\)
−0.619600 + 0.784917i \(0.712705\pi\)
\(420\) −2.45058 1.86703i −0.119576 0.0911018i
\(421\) −9.88005 33.6484i −0.481524 1.63992i −0.739050 0.673650i \(-0.764725\pi\)
0.257526 0.966271i \(-0.417093\pi\)
\(422\) 3.03880 4.72846i 0.147926 0.230178i
\(423\) 0.824288 + 6.51339i 0.0400783 + 0.316692i
\(424\) 1.86718 6.35904i 0.0906784 0.308822i
\(425\) 1.68965 + 1.94996i 0.0819600 + 0.0945868i
\(426\) 4.82691 + 23.1291i 0.233865 + 1.12061i
\(427\) 17.3284 + 5.08809i 0.838582 + 0.246230i
\(428\) −1.47818 + 3.23677i −0.0714507 + 0.156455i
\(429\) 14.1569 + 26.4560i 0.683502 + 1.27731i
\(430\) 5.72393 1.68070i 0.276032 0.0810504i
\(431\) 0.974613 6.77858i 0.0469454 0.326513i −0.952793 0.303622i \(-0.901804\pi\)
0.999738 0.0228906i \(-0.00728694\pi\)
\(432\) 4.62227 2.37374i 0.222389 0.114207i
\(433\) −9.88619 + 1.42142i −0.475100 + 0.0683091i −0.375706 0.926739i \(-0.622600\pi\)
−0.0993943 + 0.995048i \(0.531691\pi\)
\(434\) −2.45214 + 1.57590i −0.117707 + 0.0756454i
\(435\) −4.38512 12.0677i −0.210251 0.578603i
\(436\) 7.06229i 0.338222i
\(437\) −12.6232 15.9402i −0.603850 0.762524i
\(438\) −6.04063 + 10.8435i −0.288632 + 0.518123i
\(439\) −6.30030 + 7.27093i −0.300697 + 0.347022i −0.885910 0.463857i \(-0.846465\pi\)
0.585214 + 0.810879i \(0.301011\pi\)
\(440\) 2.15368 + 3.35120i 0.102673 + 0.159762i
\(441\) 8.82404 7.38848i 0.420192 0.351832i
\(442\) 10.2066 4.66121i 0.485479 0.221711i
\(443\) 5.22278 + 0.750923i 0.248142 + 0.0356774i 0.265263 0.964176i \(-0.414541\pi\)
−0.0171214 + 0.999853i \(0.505450\pi\)
\(444\) 4.27067 18.8624i 0.202677 0.895171i
\(445\) 11.8169 + 7.59427i 0.560175 + 0.360003i
\(446\) −23.3968 10.6849i −1.10787 0.505947i
\(447\) 3.76569 + 3.82993i 0.178111 + 0.181150i
\(448\) −1.34424 + 1.16479i −0.0635094 + 0.0550312i
\(449\) −6.26650 + 5.42995i −0.295734 + 0.256255i −0.790071 0.613015i \(-0.789956\pi\)
0.494337 + 0.869271i \(0.335411\pi\)
\(450\) 2.89236 0.796387i 0.136347 0.0375420i
\(451\) −5.14107 2.34785i −0.242083 0.110556i
\(452\) −2.57125 1.65244i −0.120941 0.0777242i
\(453\) 29.1352 + 6.59654i 1.36889 + 0.309932i
\(454\) −13.0900 1.88205i −0.614343 0.0883292i
\(455\) −7.03613 + 3.21329i −0.329859 + 0.150641i
\(456\) 2.62438 6.85850i 0.122898 0.321179i
\(457\) −15.3446 23.8766i −0.717788 1.11690i −0.988053 0.154114i \(-0.950748\pi\)
0.270265 0.962786i \(-0.412889\pi\)
\(458\) −16.3538 + 18.8733i −0.764163 + 0.881892i
\(459\) 0.616847 + 13.3927i 0.0287920 + 0.625119i
\(460\) −4.27013 2.18312i −0.199096 0.101788i
\(461\) 33.6668i 1.56802i 0.620749 + 0.784009i \(0.286828\pi\)
−0.620749 + 0.784009i \(0.713172\pi\)
\(462\) 11.5346 4.19139i 0.536637 0.195001i
\(463\) −25.4919 + 16.3826i −1.18471 + 0.761365i −0.976246 0.216665i \(-0.930482\pi\)
−0.208462 + 0.978031i \(0.566846\pi\)
\(464\) −7.33758 + 1.05499i −0.340639 + 0.0489765i
\(465\) 0.226431 2.82940i 0.0105005 0.131210i
\(466\) 2.92406 20.3373i 0.135455 0.942107i
\(467\) −29.3303 + 8.61214i −1.35724 + 0.398523i −0.877790 0.479045i \(-0.840983\pi\)
−0.479453 + 0.877568i \(0.659165\pi\)
\(468\) 0.220682 13.0445i 0.0102010 0.602983i
\(469\) −1.40197 + 3.06988i −0.0647368 + 0.141754i
\(470\) 2.09980 + 0.616557i 0.0968565 + 0.0284396i
\(471\) 10.1128 2.11049i 0.465974 0.0972462i
\(472\) 4.56986 + 5.27390i 0.210345 + 0.242751i
\(473\) −6.69519 + 22.8017i −0.307845 + 1.04842i
\(474\) 9.81861 7.22135i 0.450984 0.331687i
\(475\) 2.29218 3.56670i 0.105172 0.163652i
\(476\) −1.29296 4.40340i −0.0592625 0.201830i
\(477\) 18.2229 7.95238i 0.834369 0.364115i
\(478\) 3.59482 + 7.87155i 0.164423 + 0.360036i
\(479\) 1.17234 + 8.15379i 0.0535655 + 0.372556i 0.998918 + 0.0465060i \(0.0148087\pi\)
−0.945353 + 0.326050i \(0.894282\pi\)
\(480\) −0.108947 1.72862i −0.00497270 0.0789004i
\(481\) −36.6977 31.7988i −1.67327 1.44990i
\(482\) −2.55197 −0.116239
\(483\) −9.46464 + 11.3454i −0.430656 + 0.516232i
\(484\) −4.86889 −0.221313
\(485\) 13.0011 + 11.2655i 0.590349 + 0.511540i
\(486\) 14.3622 + 6.06022i 0.651484 + 0.274897i
\(487\) 0.402331 + 2.79827i 0.0182313 + 0.126802i 0.996905 0.0786217i \(-0.0250519\pi\)
−0.978673 + 0.205423i \(0.934143\pi\)
\(488\) 4.21794 + 9.23601i 0.190937 + 0.418094i
\(489\) −2.98884 + 3.92301i −0.135160 + 0.177405i
\(490\) −1.08080 3.68088i −0.0488258 0.166285i
\(491\) 2.57226 4.00252i 0.116085 0.180631i −0.778349 0.627832i \(-0.783943\pi\)
0.894434 + 0.447200i \(0.147579\pi\)
\(492\) 1.45597 + 1.97963i 0.0656402 + 0.0892487i
\(493\) 5.38866 18.3521i 0.242693 0.826536i
\(494\) −12.0742 13.9344i −0.543244 0.626936i
\(495\) −3.56039 + 11.4081i −0.160028 + 0.512754i
\(496\) −1.57239 0.461696i −0.0706026 0.0207308i
\(497\) 10.0794 22.0709i 0.452125 0.990015i
\(498\) −3.95305 + 2.11532i −0.177140 + 0.0947899i
\(499\) 20.7119 6.08155i 0.927191 0.272248i 0.216931 0.976187i \(-0.430395\pi\)
0.710260 + 0.703939i \(0.248577\pi\)
\(500\) 0.142315 0.989821i 0.00636451 0.0442662i
\(501\) 30.2389 + 2.41996i 1.35097 + 0.108116i
\(502\) −11.5686 + 1.66331i −0.516332 + 0.0742374i
\(503\) 9.79017 6.29176i 0.436522 0.280536i −0.303867 0.952715i \(-0.598278\pi\)
0.740389 + 0.672179i \(0.234641\pi\)
\(504\) −5.26814 0.848633i −0.234662 0.0378011i
\(505\) 2.06911i 0.0920744i
\(506\) 16.5126 9.60831i 0.734073 0.427141i
\(507\) −8.94554 4.98331i −0.397285 0.221317i
\(508\) 6.81253 7.86208i 0.302257 0.348823i
\(509\) −14.0077 21.7964i −0.620881 0.966109i −0.999182 0.0404271i \(-0.987128\pi\)
0.378302 0.925682i \(-0.376508\pi\)
\(510\) 4.17385 + 1.59711i 0.184821 + 0.0707210i
\(511\) 11.5948 5.29519i 0.512926 0.234245i
\(512\) −0.989821 0.142315i −0.0437443 0.00628949i
\(513\) 20.8300 7.17265i 0.919669 0.316680i
\(514\) 7.73614 + 4.97172i 0.341227 + 0.219293i
\(515\) −16.4386 7.50725i −0.724370 0.330809i
\(516\) 7.36784 7.24425i 0.324351 0.318910i
\(517\) −6.58851 + 5.70898i −0.289762 + 0.251080i
\(518\) −15.0096 + 13.0059i −0.659484 + 0.571446i
\(519\) −20.4705 + 20.1271i −0.898554 + 0.883481i
\(520\) −3.95580 1.80655i −0.173473 0.0792227i
\(521\) −29.2639 18.8068i −1.28207 0.823939i −0.290932 0.956744i \(-0.593965\pi\)
−0.991142 + 0.132805i \(0.957602\pi\)
\(522\) −16.5585 14.8457i −0.724744 0.649780i
\(523\) 30.8921 + 4.44162i 1.35082 + 0.194218i 0.779445 0.626471i \(-0.215501\pi\)
0.571374 + 0.820690i \(0.306411\pi\)
\(524\) −18.2515 + 8.33516i −0.797318 + 0.364123i
\(525\) −2.87732 1.10100i −0.125577 0.0480514i
\(526\) 8.44714 + 13.1440i 0.368313 + 0.573106i
\(527\) 2.76895 3.19554i 0.120618 0.139200i
\(528\) 6.02759 + 3.35780i 0.262317 + 0.146130i
\(529\) −11.3647 + 19.9961i −0.494118 + 0.869395i
\(530\) 6.62750i 0.287880i
\(531\) −3.32946 + 20.6686i −0.144486 + 0.896943i
\(532\) −6.34404 + 4.07707i −0.275049 + 0.176763i
\(533\) 6.10717 0.878079i 0.264531 0.0380338i
\(534\) 24.2522 + 1.94086i 1.04950 + 0.0839891i
\(535\) −0.506403 + 3.52211i −0.0218937 + 0.152274i
\(536\) −1.82053 + 0.534556i −0.0786350 + 0.0230893i
\(537\) −13.3183 + 7.12678i −0.574727 + 0.307543i
\(538\) −6.43577 + 14.0924i −0.277466 + 0.607565i
\(539\) 14.6631 + 4.30547i 0.631584 + 0.185450i
\(540\) 3.76627 3.57983i 0.162075 0.154051i
\(541\) −11.0691 12.7744i −0.475896 0.549213i 0.466146 0.884708i \(-0.345642\pi\)
−0.942042 + 0.335494i \(0.891097\pi\)
\(542\) −6.95464 + 23.6853i −0.298727 + 1.01737i
\(543\) −21.4884 29.2170i −0.922154 1.25382i
\(544\) 1.39494 2.17057i 0.0598076 0.0930625i
\(545\) −1.98968 6.77622i −0.0852284 0.290261i
\(546\) −8.11934 + 10.6571i −0.347476 + 0.456081i
\(547\) 14.1747 + 31.0383i 0.606068 + 1.32710i 0.925231 + 0.379404i \(0.123871\pi\)
−0.319163 + 0.947700i \(0.603402\pi\)
\(548\) −2.16167 15.0348i −0.0923420 0.642253i
\(549\) −13.1207 + 27.4900i −0.559978 + 1.17325i
\(550\) 3.01059 + 2.60869i 0.128372 + 0.111235i
\(551\) −31.4294 −1.33894
\(552\) −8.30517 + 0.155587i −0.353491 + 0.00662221i
\(553\) −12.5164 −0.532251
\(554\) 19.6323 + 17.0115i 0.834097 + 0.722749i
\(555\) −1.21648 19.3015i −0.0516368 0.819305i
\(556\) −0.451932 3.14326i −0.0191662 0.133304i
\(557\) 2.89489 + 6.33892i 0.122660 + 0.268589i 0.960994 0.276568i \(-0.0891972\pi\)
−0.838334 + 0.545157i \(0.816470\pi\)
\(558\) −1.96638 4.50595i −0.0832434 0.190752i
\(559\) −7.30901 24.8922i −0.309138 1.05283i
\(560\) −0.961630 + 1.49633i −0.0406363 + 0.0632313i
\(561\) −14.3414 + 10.5477i −0.605493 + 0.445325i
\(562\) −1.28993 + 4.39311i −0.0544126 + 0.185312i
\(563\) −6.69807 7.72999i −0.282290 0.325780i 0.596841 0.802359i \(-0.296422\pi\)
−0.879132 + 0.476579i \(0.841877\pi\)
\(564\) 3.71056 0.774373i 0.156243 0.0326070i
\(565\) −2.93264 0.861100i −0.123377 0.0362268i
\(566\) 1.89628 4.15226i 0.0797064 0.174533i
\(567\) −8.19419 13.7520i −0.344124 0.577528i
\(568\) 13.0887 3.84319i 0.549190 0.161257i
\(569\) −2.19311 + 15.2534i −0.0919399 + 0.639456i 0.890791 + 0.454414i \(0.150151\pi\)
−0.982731 + 0.185042i \(0.940758\pi\)
\(570\) 0.585810 7.32006i 0.0245369 0.306603i
\(571\) −34.3472 + 4.93838i −1.43739 + 0.206665i −0.816549 0.577276i \(-0.804116\pi\)
−0.620836 + 0.783941i \(0.713207\pi\)
\(572\) 14.5737 9.36593i 0.609356 0.391609i
\(573\) −9.83582 + 3.57410i −0.410897 + 0.149310i
\(574\) 2.52356i 0.105331i
\(575\) −4.71221 0.891650i −0.196513 0.0371844i
\(576\) −1.57900 2.55083i −0.0657917 0.106285i
\(577\) −26.3456 + 30.4044i −1.09678 + 1.26575i −0.135321 + 0.990802i \(0.543207\pi\)
−0.961459 + 0.274950i \(0.911339\pi\)
\(578\) −5.59171 8.70088i −0.232585 0.361909i
\(579\) −5.35274 + 13.9888i −0.222452 + 0.581353i
\(580\) −6.74314 + 3.07949i −0.279993 + 0.127869i
\(581\) 4.55728 + 0.655238i 0.189068 + 0.0271839i
\(582\) 29.0607 + 6.57969i 1.20461 + 0.272737i
\(583\) 22.2101 + 14.2735i 0.919847 + 0.591150i
\(584\) 6.51877 + 2.97702i 0.269749 + 0.123190i
\(585\) −3.46332 12.5783i −0.143191 0.520049i
\(586\) 8.01338 6.94364i 0.331030 0.286839i
\(587\) 18.4438 15.9817i 0.761258 0.659634i −0.185112 0.982717i \(-0.559265\pi\)
0.946371 + 0.323083i \(0.104719\pi\)
\(588\) −4.65856 4.73803i −0.192116 0.195393i
\(589\) −6.32012 2.88630i −0.260416 0.118928i
\(590\) 5.87057 + 3.77279i 0.241688 + 0.155323i
\(591\) 7.74700 34.2165i 0.318669 1.40748i
\(592\) −11.0522 1.58907i −0.454243 0.0653103i
\(593\) 37.9615 17.3364i 1.55889 0.711922i 0.565293 0.824890i \(-0.308763\pi\)
0.993599 + 0.112968i \(0.0360359\pi\)
\(594\) 3.88537 + 20.3314i 0.159419 + 0.834206i
\(595\) −2.48116 3.86076i −0.101718 0.158276i
\(596\) 2.03073 2.34359i 0.0831819 0.0959970i
\(597\) −7.69063 + 13.8054i −0.314757 + 0.565019i
\(598\) −9.49392 + 18.5699i −0.388235 + 0.759380i
\(599\) 9.75025i 0.398385i 0.979960 + 0.199192i \(0.0638318\pi\)
−0.979960 + 0.199192i \(0.936168\pi\)
\(600\) −0.591542 1.62791i −0.0241496 0.0664590i
\(601\) 9.47178 6.08714i 0.386362 0.248300i −0.333012 0.942923i \(-0.608065\pi\)
0.719374 + 0.694623i \(0.244429\pi\)
\(602\) −10.5029 + 1.51009i −0.428065 + 0.0615465i
\(603\) −4.73582 3.15798i −0.192857 0.128603i
\(604\) 2.45450 17.0714i 0.0998721 0.694626i
\(605\) −4.67166 + 1.37172i −0.189930 + 0.0557685i
\(606\) −1.69087 3.15985i −0.0686870 0.128360i
\(607\) 17.6825 38.7193i 0.717711 1.57157i −0.0993748 0.995050i \(-0.531684\pi\)
0.817085 0.576517i \(-0.195588\pi\)
\(608\) −4.06801 1.19448i −0.164980 0.0484424i
\(609\) 4.66562 + 22.3562i 0.189061 + 0.905920i
\(610\) 6.64917 + 7.67355i 0.269217 + 0.310693i
\(611\) 2.68128 9.13160i 0.108473 0.369425i
\(612\) 7.67924 0.971830i 0.310415 0.0392839i
\(613\) −17.8276 + 27.7402i −0.720048 + 1.12042i 0.267570 + 0.963539i \(0.413779\pi\)
−0.987618 + 0.156878i \(0.949857\pi\)
\(614\) 0.388423 + 1.32285i 0.0156755 + 0.0533858i
\(615\) 1.95472 + 1.48925i 0.0788219 + 0.0600523i
\(616\) −2.94344 6.44523i −0.118594 0.259686i
\(617\) −0.709779 4.93662i −0.0285746 0.198741i 0.970533 0.240966i \(-0.0774643\pi\)
−0.999108 + 0.0422255i \(0.986555\pi\)
\(618\) −31.2391 + 1.96885i −1.25662 + 0.0791986i
\(619\) 11.9828 + 10.3831i 0.481628 + 0.417333i 0.861540 0.507690i \(-0.169500\pi\)
−0.379912 + 0.925023i \(0.624046\pi\)
\(620\) −1.63878 −0.0658148
\(621\) −16.3532 18.8035i −0.656232 0.754559i
\(622\) 4.76159 0.190923
\(623\) −18.8823 16.3616i −0.756502 0.655513i
\(624\) −7.51742 + 0.473786i −0.300938 + 0.0189666i
\(625\) −0.142315 0.989821i −0.00569259 0.0395929i
\(626\) −11.2761 24.6911i −0.450682 0.986856i
\(627\) 23.2693 + 17.7283i 0.929287 + 0.707998i
\(628\) −1.68037 5.72283i −0.0670542 0.228366i
\(629\) 15.5757 24.2363i 0.621045 0.966365i
\(630\) −5.29383 + 0.669950i −0.210911 + 0.0266914i
\(631\) 8.24070 28.0652i 0.328057 1.11726i −0.616074 0.787689i \(-0.711278\pi\)
0.944131 0.329571i \(-0.106904\pi\)
\(632\) −4.60817 5.31812i −0.183303 0.211543i
\(633\) −1.98887 9.53007i −0.0790506 0.378786i
\(634\) −24.1148 7.08074i −0.957721 0.281212i
\(635\) 4.32157 9.46292i 0.171496 0.375524i
\(636\) −5.41597 10.1212i −0.214757 0.401331i
\(637\) −16.0074 + 4.70020i −0.634236 + 0.186229i
\(638\) 4.20262 29.2298i 0.166383 1.15722i
\(639\) 34.0481 + 22.7043i 1.34692 + 0.898167i
\(640\) −0.989821 + 0.142315i −0.0391261 + 0.00562549i
\(641\) 10.2590 6.59306i 0.405206 0.260410i −0.322124 0.946697i \(-0.604397\pi\)
0.727331 + 0.686287i \(0.240761\pi\)
\(642\) 2.10490 + 5.79262i 0.0830738 + 0.228617i
\(643\) 27.5560i 1.08670i 0.839505 + 0.543352i \(0.182845\pi\)
−0.839505 + 0.543352i \(0.817155\pi\)
\(644\) 6.96529 + 4.92446i 0.274471 + 0.194051i
\(645\) 5.02845 9.02657i 0.197995 0.355421i
\(646\) 7.16368 8.26733i 0.281851 0.325274i
\(647\) −16.2051 25.2156i −0.637089 0.991329i −0.998268 0.0588327i \(-0.981262\pi\)
0.361179 0.932496i \(-0.382374\pi\)
\(648\) 2.82624 8.54473i 0.111025 0.335669i
\(649\) −25.2867 + 11.5481i −0.992591 + 0.453301i
\(650\) −4.30453 0.618898i −0.168838 0.0242752i
\(651\) −1.11486 + 4.92406i −0.0436950 + 0.192989i
\(652\) 2.39539 + 1.53942i 0.0938107 + 0.0602885i
\(653\) 13.4307 + 6.13358i 0.525583 + 0.240026i 0.660493 0.750832i \(-0.270347\pi\)
−0.134910 + 0.990858i \(0.543075\pi\)
\(654\) −8.57604 8.72235i −0.335350 0.341071i
\(655\) −15.1639 + 13.1396i −0.592501 + 0.513405i
\(656\) 1.07224 0.929102i 0.0418640 0.0362753i
\(657\) 5.70721 + 20.7278i 0.222660 + 0.808668i
\(658\) −3.54080 1.61703i −0.138035 0.0630383i
\(659\) 22.5353 + 14.4825i 0.877850 + 0.564160i 0.900144 0.435592i \(-0.143461\pi\)
−0.0222948 + 0.999751i \(0.507097\pi\)
\(660\) 6.72943 + 1.52362i 0.261943 + 0.0593068i
\(661\) 19.9020 + 2.86148i 0.774099 + 0.111299i 0.518033 0.855361i \(-0.326664\pi\)
0.256066 + 0.966659i \(0.417573\pi\)
\(662\) −18.4383 + 8.42050i −0.716626 + 0.327272i
\(663\) 6.94549 18.1512i 0.269740 0.704934i
\(664\) 1.39945 + 2.17759i 0.0543094 + 0.0845071i
\(665\) −4.93842 + 5.69924i −0.191504 + 0.221007i
\(666\) −17.6309 28.4823i −0.683184 1.10367i
\(667\) 13.3250 + 32.9601i 0.515947 + 1.27622i
\(668\) 17.5142i 0.677646i
\(669\) −41.8716 + 15.2151i −1.61885 + 0.588251i
\(670\) −1.59619 + 1.02581i −0.0616660 + 0.0396304i
\(671\) −40.0358 + 5.75628i −1.54557 + 0.222219i
\(672\) −0.245762 + 3.07096i −0.00948049 + 0.118465i
\(673\) 1.83324 12.7505i 0.0706664 0.491496i −0.923497 0.383607i \(-0.874682\pi\)
0.994163 0.107889i \(-0.0344091\pi\)
\(674\) −4.56771 + 1.34120i −0.175942 + 0.0516611i
\(675\) 2.60516 4.49590i 0.100273 0.173047i
\(676\) −2.45594 + 5.37776i −0.0944593 + 0.206837i
\(677\) −19.7536 5.80019i −0.759194 0.222920i −0.120850 0.992671i \(-0.538562\pi\)
−0.638344 + 0.769751i \(0.720380\pi\)
\(678\) −5.18227 + 1.08151i −0.199024 + 0.0415352i
\(679\) −20.0378 23.1248i −0.768980 0.887450i
\(680\) 0.726916 2.47565i 0.0278760 0.0949368i
\(681\) −18.4524 + 13.5713i −0.707096 + 0.520052i
\(682\) 3.52941 5.49186i 0.135148 0.210294i
\(683\) −4.19383 14.2829i −0.160472 0.546519i −0.999995 0.00319398i \(-0.998983\pi\)
0.839522 0.543325i \(-0.182835\pi\)
\(684\) −5.08730 11.6576i −0.194518 0.445738i
\(685\) −6.30989 13.8167i −0.241088 0.527910i
\(686\) 2.74302 + 19.0781i 0.104729 + 0.728407i
\(687\) 2.72072 + 43.1688i 0.103802 + 1.64699i
\(688\) −4.50848 3.90662i −0.171884 0.148939i
\(689\) −28.8216 −1.09802
\(690\) −7.92492 + 2.48912i −0.301696 + 0.0947592i
\(691\) 37.9584 1.44401 0.722003 0.691890i \(-0.243222\pi\)
0.722003 + 0.691890i \(0.243222\pi\)
\(692\) 12.5262 + 10.8540i 0.476173 + 0.412606i
\(693\) 9.15611 19.1835i 0.347812 0.728723i
\(694\) 0.187208 + 1.30206i 0.00710631 + 0.0494254i
\(695\) −1.31918 2.88861i −0.0500395 0.109571i
\(696\) −7.78124 + 10.2133i −0.294947 + 0.387134i
\(697\) 1.03133 + 3.51240i 0.0390645 + 0.133041i
\(698\) −12.3357 + 19.1948i −0.466914 + 0.726533i
\(699\) −21.0850 28.6686i −0.797510 1.08435i
\(700\) −0.501114 + 1.70664i −0.0189403 + 0.0645048i
\(701\) −28.0617 32.3849i −1.05987 1.22316i −0.973927 0.226860i \(-0.927154\pi\)
−0.0859470 0.996300i \(-0.527392\pi\)
\(702\) −15.5680 16.3787i −0.587575 0.618176i
\(703\) −45.4228 13.3373i −1.71315 0.503028i
\(704\) 1.65484 3.62359i 0.0623690 0.136569i
\(705\) 3.34209 1.78839i 0.125870 0.0673547i
\(706\) 13.4439 3.94747i 0.505966 0.148565i
\(707\) −0.523762 + 3.64284i −0.0196981 + 0.137003i
\(708\) 12.0484 + 0.964206i 0.452805 + 0.0362371i
\(709\) −17.9555 + 2.58161i −0.674334 + 0.0969546i −0.470971 0.882149i \(-0.656096\pi\)
−0.203363 + 0.979103i \(0.565187\pi\)
\(710\) 11.4758 7.37503i 0.430678 0.276780i
\(711\) 3.35738 20.8419i 0.125912 0.781634i
\(712\) 14.0468i 0.526426i
\(713\) −0.347349 + 7.85161i −0.0130083 + 0.294045i
\(714\) −6.94411 3.86837i −0.259877 0.144770i
\(715\) 11.3447 13.0924i 0.424266 0.489629i
\(716\) 4.71493 + 7.33658i 0.176205 + 0.274181i
\(717\) 13.9986 + 5.35650i 0.522786 + 0.200042i
\(718\) −4.30017 + 1.96382i −0.160481 + 0.0732892i
\(719\) 44.4466 + 6.39045i 1.65758 + 0.238324i 0.906596 0.421999i \(-0.138671\pi\)
0.750982 + 0.660323i \(0.229581\pi\)
\(720\) −2.23369 2.00265i −0.0832448 0.0746344i
\(721\) 27.0411 + 17.3783i 1.00706 + 0.647201i
\(722\) 0.931945 + 0.425605i 0.0346834 + 0.0158394i
\(723\) −3.15184 + 3.09897i −0.117218 + 0.115252i
\(724\) −15.8250 + 13.7124i −0.588130 + 0.509618i
\(725\) −5.60240 + 4.85451i −0.208068 + 0.180292i
\(726\) −6.01337 + 5.91250i −0.223177 + 0.219433i
\(727\) −25.0598 11.4444i −0.929417 0.424451i −0.107595 0.994195i \(-0.534315\pi\)
−0.821822 + 0.569744i \(0.807042\pi\)
\(728\) 6.50721 + 4.18193i 0.241173 + 0.154993i
\(729\) 25.0974 9.95593i 0.929533 0.368738i
\(730\) 7.09344 + 1.01988i 0.262540 + 0.0377475i
\(731\) 14.0012 6.39414i 0.517853 0.236496i
\(732\) 16.4251 + 6.28500i 0.607089 + 0.232300i
\(733\) 17.7367 + 27.5989i 0.655121 + 1.01939i 0.996828 + 0.0795817i \(0.0253584\pi\)
−0.341707 + 0.939806i \(0.611005\pi\)
\(734\) −1.83162 + 2.11380i −0.0676062 + 0.0780217i
\(735\) −5.80471 3.23364i −0.214110 0.119275i
\(736\) 0.472052 + 4.77254i 0.0174001 + 0.175918i
\(737\) 7.55840i 0.278417i
\(738\) 4.20216 + 0.676916i 0.154684 + 0.0249176i
\(739\) −21.8603 + 14.0488i −0.804144 + 0.516792i −0.876966 0.480553i \(-0.840436\pi\)
0.0728220 + 0.997345i \(0.476800\pi\)
\(740\) −11.0522 + 1.58907i −0.406287 + 0.0584153i
\(741\) −31.8334 2.54757i −1.16943 0.0935872i
\(742\) −1.67764 + 11.6683i −0.0615881 + 0.428355i
\(743\) −50.2146 + 14.7443i −1.84219 + 0.540917i −0.842196 + 0.539172i \(0.818737\pi\)
−0.999998 + 0.00174553i \(0.999444\pi\)
\(744\) −2.50266 + 1.33920i −0.0917519 + 0.0490975i
\(745\) 1.28821 2.82078i 0.0471962 0.103345i
\(746\) 4.84545 + 1.42275i 0.177405 + 0.0520907i
\(747\) −2.31353 + 7.41290i −0.0846475 + 0.271224i
\(748\) 6.73084 + 7.76781i 0.246104 + 0.284019i
\(749\) 1.78313 6.07277i 0.0651540 0.221894i
\(750\) −1.02621 1.39531i −0.0374721 0.0509494i
\(751\) 11.2663 17.5307i 0.411112 0.639703i −0.572520 0.819891i \(-0.694034\pi\)
0.983632 + 0.180188i \(0.0576705\pi\)
\(752\) −0.616557 2.09980i −0.0224835 0.0765718i
\(753\) −12.2681 + 16.1025i −0.447074 + 0.586809i
\(754\) 13.3921 + 29.3245i 0.487710 + 1.06794i
\(755\) −2.45450 17.0714i −0.0893284 0.621292i
\(756\) −7.53700 + 5.34921i −0.274118 + 0.194549i
\(757\) −26.6441 23.0872i −0.968395 0.839119i 0.0186067 0.999827i \(-0.494077\pi\)
−0.987002 + 0.160708i \(0.948622\pi\)
\(758\) 28.1754 1.02338
\(759\) 8.72623 31.9187i 0.316742 1.15858i
\(760\) −4.23975 −0.153792
\(761\) −2.60298 2.25550i −0.0943580 0.0817617i 0.606404 0.795156i \(-0.292611\pi\)
−0.700762 + 0.713395i \(0.747157\pi\)
\(762\) −1.13337 17.9829i −0.0410578 0.651451i
\(763\) 1.78770 + 12.4337i 0.0647191 + 0.450131i
\(764\) 2.50994 + 5.49600i 0.0908065 + 0.198838i
\(765\) 7.09438 3.09596i 0.256498 0.111935i
\(766\) −6.94007 23.6357i −0.250755 0.853993i
\(767\) 16.4071 25.5299i 0.592426 0.921832i
\(768\) −1.39531 + 1.02621i −0.0503488 + 0.0370303i
\(769\) −8.01954 + 27.3121i −0.289192 + 0.984898i 0.678885 + 0.734245i \(0.262464\pi\)
−0.968077 + 0.250653i \(0.919355\pi\)
\(770\) −4.64004 5.35489i −0.167215 0.192977i
\(771\) 15.5920 3.25396i 0.561531 0.117188i
\(772\) 8.29720 + 2.43628i 0.298623 + 0.0876836i
\(773\) 3.28365 7.19018i 0.118105 0.258613i −0.841342 0.540503i \(-0.818234\pi\)
0.959447 + 0.281890i \(0.0909613\pi\)