Properties

Label 322.2.k.a.293.1
Level $322$
Weight $2$
Character 322.293
Analytic conductor $2.571$
Analytic rank $0$
Dimension $80$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 322 = 2 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 322.k (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.57118294509\)
Analytic rank: \(0\)
Dimension: \(80\)
Relative dimension: \(8\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 293.1
Character \(\chi\) \(=\) 322.293
Dual form 322.2.k.a.111.1

$q$-expansion

\(f(q)\) \(=\) \(q+(0.415415 - 0.909632i) q^{2} +(-0.760851 + 2.59122i) q^{3} +(-0.654861 - 0.755750i) q^{4} +(2.71881 - 1.74727i) q^{5} +(2.04099 + 1.76853i) q^{6} +(0.0953475 + 2.64403i) q^{7} +(-0.959493 + 0.281733i) q^{8} +(-3.61176 - 2.32114i) q^{9} +O(q^{10})\) \(q+(0.415415 - 0.909632i) q^{2} +(-0.760851 + 2.59122i) q^{3} +(-0.654861 - 0.755750i) q^{4} +(2.71881 - 1.74727i) q^{5} +(2.04099 + 1.76853i) q^{6} +(0.0953475 + 2.64403i) q^{7} +(-0.959493 + 0.281733i) q^{8} +(-3.61176 - 2.32114i) q^{9} +(-0.459941 - 3.19896i) q^{10} +(0.903659 - 0.412687i) q^{11} +(2.45656 - 1.12188i) q^{12} +(5.14397 - 0.739591i) q^{13} +(2.44471 + 1.01164i) q^{14} +(2.45896 + 8.37444i) q^{15} +(-0.142315 + 0.989821i) q^{16} +(-4.81565 + 5.55756i) q^{17} +(-3.61176 + 2.32114i) q^{18} +(1.19669 + 1.38105i) q^{19} +(-3.10094 - 0.910518i) q^{20} +(-6.92381 - 1.76465i) q^{21} -0.993434i q^{22} +(3.70768 + 3.04189i) q^{23} -2.70061i q^{24} +(2.26188 - 4.95284i) q^{25} +(1.46413 - 4.98635i) q^{26} +(2.63963 - 2.28725i) q^{27} +(1.93579 - 1.80353i) q^{28} +(0.920574 - 1.06240i) q^{29} +(8.63915 + 1.24212i) q^{30} +(-1.36388 - 4.64494i) q^{31} +(0.841254 + 0.540641i) q^{32} +(0.381814 + 2.65557i) q^{33} +(3.05484 + 6.68917i) q^{34} +(4.87908 + 7.02202i) q^{35} +(0.611002 + 4.24961i) q^{36} +(3.29838 - 5.13238i) q^{37} +(1.75337 - 0.514837i) q^{38} +(-1.99735 + 13.8919i) q^{39} +(-2.11641 + 2.44247i) q^{40} +(-5.69725 - 8.86510i) q^{41} +(-4.48144 + 5.56506i) q^{42} +(2.81801 - 9.59725i) q^{43} +(-0.903659 - 0.412687i) q^{44} -13.8753 q^{45} +(4.30723 - 2.10898i) q^{46} +7.29727i q^{47} +(-2.45656 - 1.12188i) q^{48} +(-6.98182 + 0.504204i) q^{49} +(-3.56564 - 4.11497i) q^{50} +(-10.7369 - 16.7069i) q^{51} +(-3.92753 - 3.40322i) q^{52} +(-6.00768 - 0.863774i) q^{53} +(-0.984015 - 3.35125i) q^{54} +(1.73580 - 2.70096i) q^{55} +(-0.836395 - 2.51007i) q^{56} +(-4.48911 + 2.05011i) q^{57} +(-0.583972 - 1.27872i) q^{58} +(-5.52767 + 0.794758i) q^{59} +(4.71871 - 7.34245i) q^{60} +(3.21714 - 0.944636i) q^{61} +(-4.79176 - 0.688951i) q^{62} +(5.79279 - 9.77093i) q^{63} +(0.841254 - 0.540641i) q^{64} +(12.6932 - 10.9987i) q^{65} +(2.57421 + 0.755855i) q^{66} +(-5.13674 - 2.34587i) q^{67} +7.35371 q^{68} +(-10.7032 + 7.29300i) q^{69} +(8.41430 - 1.52111i) q^{70} +(0.102190 - 0.223764i) q^{71} +(4.11940 + 1.20956i) q^{72} +(-0.551966 + 0.478281i) q^{73} +(-3.29838 - 5.13238i) q^{74} +(11.1129 + 9.62941i) q^{75} +(0.260065 - 1.80879i) q^{76} +(1.17732 + 2.34996i) q^{77} +(11.8068 + 7.58774i) q^{78} +(-0.298336 + 0.0428943i) q^{79} +(1.34256 + 2.93980i) q^{80} +(-1.43211 - 3.13589i) q^{81} +(-10.4307 + 1.49971i) q^{82} +(-12.8035 - 8.22828i) q^{83} +(3.20050 + 6.38827i) q^{84} +(-3.38227 + 23.5242i) q^{85} +(-7.55932 - 6.55019i) q^{86} +(2.05249 + 3.19374i) q^{87} +(-0.750787 + 0.650561i) q^{88} +(-8.66754 - 2.54502i) q^{89} +(-5.76403 + 12.6215i) q^{90} +(2.44597 + 13.5303i) q^{91} +(-0.129113 - 4.79409i) q^{92} +13.0738 q^{93} +(6.63783 + 3.03139i) q^{94} +(5.66664 + 1.66388i) q^{95} +(-2.04099 + 1.76853i) q^{96} +(9.11261 - 5.85632i) q^{97} +(-2.44171 + 6.56034i) q^{98} +(-4.22171 - 0.606990i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 80 q - 8 q^{2} - 8 q^{4} - 11 q^{7} - 8 q^{8} - 6 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 80 q - 8 q^{2} - 8 q^{4} - 11 q^{7} - 8 q^{8} - 6 q^{9} + 11 q^{14} - 8 q^{16} - 6 q^{18} - 33 q^{21} + 18 q^{23} - 58 q^{25} - 11 q^{28} + 16 q^{29} + 22 q^{30} - 8 q^{32} + 47 q^{35} + 16 q^{36} - 22 q^{37} - 30 q^{39} - 22 q^{42} + 44 q^{43} - 4 q^{46} + 17 q^{49} + 8 q^{50} - 88 q^{51} + 44 q^{53} + 11 q^{56} - 22 q^{57} - 28 q^{58} + 121 q^{63} - 8 q^{64} - 154 q^{65} + 58 q^{70} + 42 q^{71} - 28 q^{72} + 22 q^{74} + 38 q^{77} + 58 q^{78} - 88 q^{79} - 26 q^{81} - 11 q^{84} + 26 q^{85} - 132 q^{86} + 22 q^{88} - 4 q^{92} + 152 q^{93} - 68 q^{95} - 27 q^{98} - 44 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/322\mathbb{Z}\right)^\times\).

\(n\) \(185\) \(281\)
\(\chi(n)\) \(-1\) \(e\left(\frac{7}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.415415 0.909632i 0.293743 0.643207i
\(3\) −0.760851 + 2.59122i −0.439277 + 1.49604i 0.381271 + 0.924463i \(0.375487\pi\)
−0.820548 + 0.571578i \(0.806332\pi\)
\(4\) −0.654861 0.755750i −0.327430 0.377875i
\(5\) 2.71881 1.74727i 1.21589 0.781404i 0.234254 0.972176i \(-0.424735\pi\)
0.981634 + 0.190772i \(0.0610990\pi\)
\(6\) 2.04099 + 1.76853i 0.833229 + 0.721997i
\(7\) 0.0953475 + 2.64403i 0.0360379 + 0.999350i
\(8\) −0.959493 + 0.281733i −0.339232 + 0.0996075i
\(9\) −3.61176 2.32114i −1.20392 0.773713i
\(10\) −0.459941 3.19896i −0.145446 1.01160i
\(11\) 0.903659 0.412687i 0.272464 0.124430i −0.274498 0.961588i \(-0.588512\pi\)
0.546962 + 0.837158i \(0.315784\pi\)
\(12\) 2.45656 1.12188i 0.709149 0.323857i
\(13\) 5.14397 0.739591i 1.42668 0.205126i 0.614677 0.788779i \(-0.289286\pi\)
0.812003 + 0.583653i \(0.198377\pi\)
\(14\) 2.44471 + 1.01164i 0.653375 + 0.270372i
\(15\) 2.45896 + 8.37444i 0.634900 + 2.16227i
\(16\) −0.142315 + 0.989821i −0.0355787 + 0.247455i
\(17\) −4.81565 + 5.55756i −1.16797 + 1.34791i −0.242013 + 0.970273i \(0.577808\pi\)
−0.925955 + 0.377634i \(0.876738\pi\)
\(18\) −3.61176 + 2.32114i −0.851300 + 0.547098i
\(19\) 1.19669 + 1.38105i 0.274539 + 0.316835i 0.876229 0.481895i \(-0.160051\pi\)
−0.601690 + 0.798730i \(0.705506\pi\)
\(20\) −3.10094 0.910518i −0.693391 0.203598i
\(21\) −6.92381 1.76465i −1.51090 0.385078i
\(22\) 0.993434i 0.211801i
\(23\) 3.70768 + 3.04189i 0.773106 + 0.634277i
\(24\) 2.70061i 0.551260i
\(25\) 2.26188 4.95284i 0.452377 0.990567i
\(26\) 1.46413 4.98635i 0.287139 0.977905i
\(27\) 2.63963 2.28725i 0.507996 0.440181i
\(28\) 1.93579 1.80353i 0.365829 0.340836i
\(29\) 0.920574 1.06240i 0.170946 0.197283i −0.663811 0.747900i \(-0.731062\pi\)
0.834758 + 0.550617i \(0.185608\pi\)
\(30\) 8.63915 + 1.24212i 1.57729 + 0.226779i
\(31\) −1.36388 4.64494i −0.244960 0.834256i −0.986558 0.163412i \(-0.947750\pi\)
0.741598 0.670844i \(-0.234068\pi\)
\(32\) 0.841254 + 0.540641i 0.148714 + 0.0955727i
\(33\) 0.381814 + 2.65557i 0.0664652 + 0.462276i
\(34\) 3.05484 + 6.68917i 0.523901 + 1.14718i
\(35\) 4.87908 + 7.02202i 0.824714 + 1.18694i
\(36\) 0.611002 + 4.24961i 0.101834 + 0.708268i
\(37\) 3.29838 5.13238i 0.542251 0.843759i −0.456697 0.889622i \(-0.650968\pi\)
0.998948 + 0.0458636i \(0.0146040\pi\)
\(38\) 1.75337 0.514837i 0.284435 0.0835175i
\(39\) −1.99735 + 13.8919i −0.319832 + 2.22448i
\(40\) −2.11641 + 2.44247i −0.334634 + 0.386189i
\(41\) −5.69725 8.86510i −0.889761 1.38450i −0.922898 0.385044i \(-0.874186\pi\)
0.0331370 0.999451i \(-0.489450\pi\)
\(42\) −4.48144 + 5.56506i −0.691501 + 0.858707i
\(43\) 2.81801 9.59725i 0.429742 1.46357i −0.405709 0.914002i \(-0.632975\pi\)
0.835451 0.549565i \(-0.185206\pi\)
\(44\) −0.903659 0.412687i −0.136232 0.0622150i
\(45\) −13.8753 −2.06841
\(46\) 4.30723 2.10898i 0.635066 0.310953i
\(47\) 7.29727i 1.06442i 0.846614 + 0.532208i \(0.178638\pi\)
−0.846614 + 0.532208i \(0.821362\pi\)
\(48\) −2.45656 1.12188i −0.354574 0.161929i
\(49\) −6.98182 + 0.504204i −0.997403 + 0.0720291i
\(50\) −3.56564 4.11497i −0.504257 0.581944i
\(51\) −10.7369 16.7069i −1.50346 2.33943i
\(52\) −3.92753 3.40322i −0.544650 0.471942i
\(53\) −6.00768 0.863774i −0.825218 0.118648i −0.283249 0.959047i \(-0.591412\pi\)
−0.541970 + 0.840398i \(0.682321\pi\)
\(54\) −0.984015 3.35125i −0.133907 0.456047i
\(55\) 1.73580 2.70096i 0.234055 0.364197i
\(56\) −0.836395 2.51007i −0.111768 0.335422i
\(57\) −4.48911 + 2.05011i −0.594597 + 0.271543i
\(58\) −0.583972 1.27872i −0.0766793 0.167904i
\(59\) −5.52767 + 0.794758i −0.719641 + 0.103469i −0.492399 0.870370i \(-0.663880\pi\)
−0.227242 + 0.973838i \(0.572971\pi\)
\(60\) 4.71871 7.34245i 0.609182 0.947906i
\(61\) 3.21714 0.944636i 0.411912 0.120948i −0.0692096 0.997602i \(-0.522048\pi\)
0.481122 + 0.876654i \(0.340230\pi\)
\(62\) −4.79176 0.688951i −0.608554 0.0874969i
\(63\) 5.79279 9.77093i 0.729823 1.23102i
\(64\) 0.841254 0.540641i 0.105157 0.0675801i
\(65\) 12.6932 10.9987i 1.57440 1.36422i
\(66\) 2.57421 + 0.755855i 0.316863 + 0.0930393i
\(67\) −5.13674 2.34587i −0.627552 0.286594i 0.0761414 0.997097i \(-0.475740\pi\)
−0.703694 + 0.710504i \(0.748467\pi\)
\(68\) 7.35371 0.891768
\(69\) −10.7032 + 7.29300i −1.28851 + 0.877974i
\(70\) 8.41430 1.52111i 1.00570 0.181808i
\(71\) 0.102190 0.223764i 0.0121277 0.0265559i −0.903471 0.428649i \(-0.858990\pi\)
0.915599 + 0.402093i \(0.131717\pi\)
\(72\) 4.11940 + 1.20956i 0.485476 + 0.142549i
\(73\) −0.551966 + 0.478281i −0.0646027 + 0.0559786i −0.686564 0.727070i \(-0.740882\pi\)
0.621961 + 0.783048i \(0.286336\pi\)
\(74\) −3.29838 5.13238i −0.383429 0.596628i
\(75\) 11.1129 + 9.62941i 1.28321 + 1.11191i
\(76\) 0.260065 1.80879i 0.0298315 0.207483i
\(77\) 1.17732 + 2.34996i 0.134168 + 0.267802i
\(78\) 11.8068 + 7.58774i 1.33685 + 0.859143i
\(79\) −0.298336 + 0.0428943i −0.0335654 + 0.00482598i −0.159077 0.987266i \(-0.550852\pi\)
0.125512 + 0.992092i \(0.459943\pi\)
\(80\) 1.34256 + 2.93980i 0.150103 + 0.328679i
\(81\) −1.43211 3.13589i −0.159124 0.348432i
\(82\) −10.4307 + 1.49971i −1.15188 + 0.165615i
\(83\) −12.8035 8.22828i −1.40536 0.903171i −0.405422 0.914130i \(-0.632875\pi\)
−0.999940 + 0.0109585i \(0.996512\pi\)
\(84\) 3.20050 + 6.38827i 0.349203 + 0.697017i
\(85\) −3.38227 + 23.5242i −0.366859 + 2.55156i
\(86\) −7.55932 6.55019i −0.815143 0.706325i
\(87\) 2.05249 + 3.19374i 0.220050 + 0.342404i
\(88\) −0.750787 + 0.650561i −0.0800342 + 0.0693500i
\(89\) −8.66754 2.54502i −0.918758 0.269772i −0.212035 0.977262i \(-0.568009\pi\)
−0.706723 + 0.707490i \(0.749827\pi\)
\(90\) −5.76403 + 12.6215i −0.607582 + 1.33042i
\(91\) 2.44597 + 13.5303i 0.256407 + 1.41836i
\(92\) −0.129113 4.79409i −0.0134609 0.499819i
\(93\) 13.0738 1.35569
\(94\) 6.63783 + 3.03139i 0.684640 + 0.312664i
\(95\) 5.66664 + 1.66388i 0.581385 + 0.170710i
\(96\) −2.04099 + 1.76853i −0.208307 + 0.180499i
\(97\) 9.11261 5.85632i 0.925245 0.594619i 0.0110702 0.999939i \(-0.496476\pi\)
0.914175 + 0.405320i \(0.132840\pi\)
\(98\) −2.44171 + 6.56034i −0.246650 + 0.662694i
\(99\) −4.22171 0.606990i −0.424297 0.0610048i
\(100\) −5.22432 + 1.53400i −0.522432 + 0.153400i
\(101\) 7.33622 11.4154i 0.729981 1.13587i −0.255619 0.966778i \(-0.582279\pi\)
0.985600 0.169095i \(-0.0540844\pi\)
\(102\) −19.6574 + 2.82630i −1.94637 + 0.279846i
\(103\) −3.39800 7.44058i −0.334815 0.733142i 0.665093 0.746761i \(-0.268392\pi\)
−0.999907 + 0.0136190i \(0.995665\pi\)
\(104\) −4.72723 + 2.15886i −0.463543 + 0.211693i
\(105\) −21.9078 + 7.30005i −2.13799 + 0.712412i
\(106\) −3.28140 + 5.10595i −0.318717 + 0.495934i
\(107\) 1.47125 + 5.01063i 0.142231 + 0.484396i 0.999537 0.0304114i \(-0.00968174\pi\)
−0.857306 + 0.514807i \(0.827864\pi\)
\(108\) −3.45718 0.497067i −0.332667 0.0478303i
\(109\) 7.52628 + 6.52156i 0.720887 + 0.624652i 0.936026 0.351931i \(-0.114475\pi\)
−0.215139 + 0.976584i \(0.569020\pi\)
\(110\) −1.73580 2.70096i −0.165502 0.257526i
\(111\) 10.7896 + 12.4518i 1.02410 + 1.18187i
\(112\) −2.63069 0.281908i −0.248577 0.0266378i
\(113\) 14.5791 + 6.65805i 1.37149 + 0.626337i 0.958681 0.284483i \(-0.0918218\pi\)
0.412805 + 0.910819i \(0.364549\pi\)
\(114\) 4.93509i 0.462213i
\(115\) 15.3955 + 1.79197i 1.43564 + 0.167102i
\(116\) −1.40576 −0.130521
\(117\) −20.2955 9.26863i −1.87632 0.856885i
\(118\) −1.57334 + 5.35830i −0.144838 + 0.493271i
\(119\) −15.1535 12.2028i −1.38912 1.11863i
\(120\) −4.71871 7.34245i −0.430757 0.670271i
\(121\) −6.55718 + 7.56739i −0.596107 + 0.687944i
\(122\) 0.477175 3.31883i 0.0432014 0.300472i
\(123\) 27.3062 8.01781i 2.46211 0.722942i
\(124\) −2.61726 + 4.07254i −0.235037 + 0.365725i
\(125\) −0.204618 1.42315i −0.0183016 0.127290i
\(126\) −6.48154 9.32830i −0.577421 0.831031i
\(127\) 3.23614 + 7.08616i 0.287161 + 0.628795i 0.997152 0.0754157i \(-0.0240284\pi\)
−0.709991 + 0.704211i \(0.751301\pi\)
\(128\) −0.142315 0.989821i −0.0125790 0.0874887i
\(129\) 22.7245 + 14.6041i 2.00078 + 1.28582i
\(130\) −4.73184 16.1152i −0.415010 1.41339i
\(131\) 8.61915 + 1.23925i 0.753058 + 0.108273i 0.508145 0.861272i \(-0.330331\pi\)
0.244913 + 0.969545i \(0.421241\pi\)
\(132\) 1.75691 2.02759i 0.152920 0.176479i
\(133\) −3.53745 + 3.29576i −0.306736 + 0.285779i
\(134\) −4.26776 + 3.69803i −0.368678 + 0.319461i
\(135\) 3.18019 10.8307i 0.273707 0.932162i
\(136\) 3.05484 6.68917i 0.261950 0.573591i
\(137\) 8.51513i 0.727496i −0.931497 0.363748i \(-0.881497\pi\)
0.931497 0.363748i \(-0.118503\pi\)
\(138\) 2.18768 + 12.7656i 0.186228 + 1.08668i
\(139\) 1.17643i 0.0997836i −0.998755 0.0498918i \(-0.984112\pi\)
0.998755 0.0498918i \(-0.0158877\pi\)
\(140\) 2.11177 8.28581i 0.178477 0.700278i
\(141\) −18.9088 5.55213i −1.59241 0.467574i
\(142\) −0.161092 0.185910i −0.0135185 0.0156012i
\(143\) 4.34317 2.79119i 0.363195 0.233411i
\(144\) 2.81152 3.24467i 0.234293 0.270389i
\(145\) 0.646564 4.49695i 0.0536942 0.373452i
\(146\) 0.205765 + 0.700771i 0.0170292 + 0.0579962i
\(147\) 4.00562 18.4750i 0.330378 1.52380i
\(148\) −6.03878 + 0.868245i −0.496385 + 0.0713693i
\(149\) 7.37675 3.36885i 0.604327 0.275987i −0.0896624 0.995972i \(-0.528579\pi\)
0.693989 + 0.719985i \(0.255852\pi\)
\(150\) 13.3757 6.10847i 1.09212 0.498755i
\(151\) −0.738616 5.13718i −0.0601077 0.418058i −0.997552 0.0699238i \(-0.977724\pi\)
0.937445 0.348134i \(-0.113185\pi\)
\(152\) −1.53730 0.987964i −0.124692 0.0801345i
\(153\) 30.2929 8.89479i 2.44903 0.719101i
\(154\) 2.62667 0.0947214i 0.211663 0.00763287i
\(155\) −11.8241 10.2456i −0.949734 0.822949i
\(156\) 11.8068 7.58774i 0.945297 0.607506i
\(157\) 10.8368 + 12.5063i 0.864870 + 0.998114i 0.999973 + 0.00728211i \(0.00231799\pi\)
−0.135103 + 0.990832i \(0.543137\pi\)
\(158\) −0.0849153 + 0.289195i −0.00675550 + 0.0230071i
\(159\) 6.80917 14.9100i 0.540003 1.18244i
\(160\) 3.23185 0.255500
\(161\) −7.68933 + 10.0933i −0.606004 + 0.795462i
\(162\) −3.44742 −0.270855
\(163\) −2.99084 + 6.54902i −0.234260 + 0.512959i −0.989855 0.142081i \(-0.954621\pi\)
0.755595 + 0.655039i \(0.227348\pi\)
\(164\) −2.96889 + 10.1111i −0.231831 + 0.789544i
\(165\) 5.67809 + 6.55286i 0.442038 + 0.510140i
\(166\) −12.8035 + 8.22828i −0.993741 + 0.638638i
\(167\) −15.0206 13.0154i −1.16233 1.00716i −0.999791 0.0204622i \(-0.993486\pi\)
−0.162539 0.986702i \(-0.551968\pi\)
\(168\) 7.14051 0.257497i 0.550902 0.0198663i
\(169\) 13.4400 3.94634i 1.03385 0.303565i
\(170\) 19.9933 + 12.8489i 1.53342 + 0.985468i
\(171\) −1.11654 7.76571i −0.0853840 0.593859i
\(172\) −9.09852 + 4.15515i −0.693756 + 0.316828i
\(173\) −13.3402 + 6.09228i −1.01424 + 0.463188i −0.851988 0.523562i \(-0.824603\pi\)
−0.162252 + 0.986749i \(0.551876\pi\)
\(174\) 3.75776 0.540284i 0.284875 0.0409588i
\(175\) 13.3111 + 5.50826i 1.00623 + 0.416385i
\(176\) 0.279883 + 0.953193i 0.0210970 + 0.0718496i
\(177\) 2.14633 14.9281i 0.161328 1.12206i
\(178\) −5.91566 + 6.82704i −0.443397 + 0.511708i
\(179\) −20.2870 + 13.0377i −1.51632 + 0.974481i −0.523876 + 0.851795i \(0.675514\pi\)
−0.992446 + 0.122686i \(0.960849\pi\)
\(180\) 9.08642 + 10.4863i 0.677262 + 0.781602i
\(181\) −2.79809 0.821594i −0.207981 0.0610686i 0.176083 0.984375i \(-0.443657\pi\)
−0.384063 + 0.923307i \(0.625476\pi\)
\(182\) 13.3237 + 3.39576i 0.987617 + 0.251711i
\(183\) 9.05503i 0.669367i
\(184\) −4.41450 1.87409i −0.325441 0.138160i
\(185\) 19.7171i 1.44963i
\(186\) 5.43104 11.8923i 0.398223 0.871987i
\(187\) −2.05818 + 7.00950i −0.150509 + 0.512586i
\(188\) 5.51491 4.77869i 0.402216 0.348522i
\(189\) 6.29924 + 6.76118i 0.458203 + 0.491803i
\(190\) 3.86752 4.46336i 0.280580 0.323806i
\(191\) −5.33331 0.766815i −0.385905 0.0554848i −0.0533679 0.998575i \(-0.516996\pi\)
−0.332537 + 0.943090i \(0.607905\pi\)
\(192\) 0.760851 + 2.59122i 0.0549097 + 0.187005i
\(193\) 14.5482 + 9.34957i 1.04720 + 0.672997i 0.946758 0.321946i \(-0.104337\pi\)
0.100445 + 0.994943i \(0.467973\pi\)
\(194\) −1.54158 10.7219i −0.110679 0.769789i
\(195\) 18.8425 + 41.2592i 1.34934 + 2.95463i
\(196\) 4.95317 + 4.94632i 0.353798 + 0.353309i
\(197\) 0.959133 + 6.67092i 0.0683354 + 0.475283i 0.995039 + 0.0994892i \(0.0317209\pi\)
−0.926703 + 0.375794i \(0.877370\pi\)
\(198\) −2.30590 + 3.58805i −0.163873 + 0.254991i
\(199\) −7.43795 + 2.18398i −0.527263 + 0.154818i −0.534521 0.845155i \(-0.679508\pi\)
0.00725813 + 0.999974i \(0.497690\pi\)
\(200\) −0.774887 + 5.38946i −0.0547928 + 0.381092i
\(201\) 9.98695 11.5256i 0.704425 0.812950i
\(202\) −7.33622 11.4154i −0.516174 0.803183i
\(203\) 2.89679 + 2.33273i 0.203315 + 0.163726i
\(204\) −5.59507 + 19.0551i −0.391733 + 1.33412i
\(205\) −30.9795 14.1478i −2.16370 0.988129i
\(206\) −8.17977 −0.569911
\(207\) −6.33063 19.5926i −0.440009 1.36178i
\(208\) 5.19686i 0.360338i
\(209\) 1.65134 + 0.754143i 0.114226 + 0.0521651i
\(210\) −2.46049 + 22.9606i −0.169790 + 1.58443i
\(211\) −0.897028 1.03523i −0.0617540 0.0712679i 0.724032 0.689766i \(-0.242287\pi\)
−0.785786 + 0.618498i \(0.787741\pi\)
\(212\) 3.28140 + 5.10595i 0.225367 + 0.350678i
\(213\) 0.502071 + 0.435047i 0.0344013 + 0.0298089i
\(214\) 5.16901 + 0.743191i 0.353346 + 0.0508035i
\(215\) −9.10739 31.0169i −0.621119 2.11534i
\(216\) −1.88831 + 2.93827i −0.128483 + 0.199924i
\(217\) 12.1513 4.04902i 0.824886 0.274865i
\(218\) 9.05875 4.13699i 0.613536 0.280193i
\(219\) −0.819367 1.79416i −0.0553677 0.121238i
\(220\) −3.17795 + 0.456921i −0.214258 + 0.0308056i
\(221\) −20.6613 + 32.1495i −1.38983 + 2.16261i
\(222\) 15.8087 4.64186i 1.06101 0.311541i
\(223\) 8.03143 + 1.15475i 0.537824 + 0.0773275i 0.405874 0.913929i \(-0.366967\pi\)
0.131950 + 0.991256i \(0.457876\pi\)
\(224\) −1.34926 + 2.27585i −0.0901513 + 0.152062i
\(225\) −19.6656 + 12.6383i −1.31104 + 0.842554i
\(226\) 12.1128 10.4958i 0.805728 0.698168i
\(227\) 18.1677 + 5.33453i 1.20583 + 0.354065i 0.822081 0.569370i \(-0.192813\pi\)
0.383754 + 0.923436i \(0.374631\pi\)
\(228\) 4.48911 + 2.05011i 0.297299 + 0.135772i
\(229\) −6.25542 −0.413370 −0.206685 0.978408i \(-0.566267\pi\)
−0.206685 + 0.978408i \(0.566267\pi\)
\(230\) 8.02555 13.2598i 0.529189 0.874326i
\(231\) −6.98502 + 1.26273i −0.459580 + 0.0830815i
\(232\) −0.583972 + 1.27872i −0.0383396 + 0.0839521i
\(233\) −20.8051 6.10892i −1.36299 0.400209i −0.483171 0.875526i \(-0.660515\pi\)
−0.879814 + 0.475318i \(0.842333\pi\)
\(234\) −16.8621 + 14.6111i −1.10231 + 0.955157i
\(235\) 12.7503 + 19.8399i 0.831739 + 1.29421i
\(236\) 4.22049 + 3.65708i 0.274731 + 0.238055i
\(237\) 0.115841 0.805690i 0.00752467 0.0523352i
\(238\) −17.3951 + 8.71489i −1.12756 + 0.564903i
\(239\) −10.7316 6.89676i −0.694167 0.446114i 0.145398 0.989373i \(-0.453554\pi\)
−0.839565 + 0.543259i \(0.817190\pi\)
\(240\) −8.63915 + 1.24212i −0.557655 + 0.0801786i
\(241\) 8.28337 + 18.1380i 0.533579 + 1.16837i 0.964038 + 0.265764i \(0.0856243\pi\)
−0.430459 + 0.902610i \(0.641648\pi\)
\(242\) 4.15959 + 9.10823i 0.267388 + 0.585499i
\(243\) 19.5869 2.81617i 1.25650 0.180658i
\(244\) −2.82068 1.81274i −0.180576 0.116049i
\(245\) −18.1012 + 13.5700i −1.15645 + 0.866953i
\(246\) 4.05013 28.1693i 0.258227 1.79601i
\(247\) 7.17714 + 6.21903i 0.456671 + 0.395707i
\(248\) 2.61726 + 4.07254i 0.166196 + 0.258606i
\(249\) 31.0628 26.9161i 1.96852 1.70574i
\(250\) −1.37954 0.405071i −0.0872500 0.0256189i
\(251\) −9.45326 + 20.6997i −0.596684 + 1.30656i 0.334633 + 0.942348i \(0.391387\pi\)
−0.931318 + 0.364208i \(0.881340\pi\)
\(252\) −11.1778 + 2.02070i −0.704138 + 0.127292i
\(253\) 4.60583 + 1.21871i 0.289566 + 0.0766199i
\(254\) 7.79014 0.488797
\(255\) −58.3830 26.6626i −3.65608 1.66968i
\(256\) −0.959493 0.281733i −0.0599683 0.0176083i
\(257\) −14.7278 + 12.7617i −0.918694 + 0.796053i −0.979364 0.202105i \(-0.935222\pi\)
0.0606702 + 0.998158i \(0.480676\pi\)
\(258\) 22.7245 14.6041i 1.41477 0.909214i
\(259\) 13.8847 + 8.23167i 0.862752 + 0.511491i
\(260\) −16.6246 2.39025i −1.03101 0.148237i
\(261\) −5.79087 + 1.70035i −0.358446 + 0.105249i
\(262\) 4.70778 7.32545i 0.290848 0.452568i
\(263\) 14.9971 2.15626i 0.924763 0.132961i 0.336549 0.941666i \(-0.390740\pi\)
0.588214 + 0.808705i \(0.299831\pi\)
\(264\) −1.11451 2.44043i −0.0685933 0.150198i
\(265\) −17.8430 + 8.14862i −1.09609 + 0.500566i
\(266\) 1.52842 + 4.58689i 0.0937137 + 0.281240i
\(267\) 13.1894 20.5231i 0.807179 1.25599i
\(268\) 1.59096 + 5.41830i 0.0971832 + 0.330976i
\(269\) −1.08646 0.156209i −0.0662424 0.00952422i 0.109114 0.994029i \(-0.465199\pi\)
−0.175356 + 0.984505i \(0.556108\pi\)
\(270\) −8.53089 7.39206i −0.519173 0.449866i
\(271\) 0.137693 + 0.214254i 0.00836423 + 0.0130150i 0.845410 0.534117i \(-0.179356\pi\)
−0.837046 + 0.547132i \(0.815720\pi\)
\(272\) −4.81565 5.55756i −0.291992 0.336977i
\(273\) −36.9210 3.95650i −2.23456 0.239458i
\(274\) −7.74563 3.53731i −0.467931 0.213697i
\(275\) 5.40913i 0.326183i
\(276\) 12.5208 + 3.31303i 0.753662 + 0.199421i
\(277\) −7.46755 −0.448681 −0.224341 0.974511i \(-0.572023\pi\)
−0.224341 + 0.974511i \(0.572023\pi\)
\(278\) −1.07012 0.488707i −0.0641815 0.0293107i
\(279\) −5.85555 + 19.9422i −0.350562 + 1.19391i
\(280\) −6.65977 5.36298i −0.397997 0.320500i
\(281\) 6.75916 + 10.5175i 0.403218 + 0.627419i 0.982182 0.187934i \(-0.0601791\pi\)
−0.578964 + 0.815353i \(0.696543\pi\)
\(282\) −12.9054 + 14.8936i −0.768505 + 0.886903i
\(283\) −0.886946 + 6.16884i −0.0527235 + 0.366700i 0.946330 + 0.323202i \(0.104759\pi\)
−0.999054 + 0.0434979i \(0.986150\pi\)
\(284\) −0.236030 + 0.0693045i −0.0140058 + 0.00411247i
\(285\) −8.62294 + 13.4176i −0.510779 + 0.794787i
\(286\) −0.734735 5.11019i −0.0434458 0.302172i
\(287\) 22.8964 15.9090i 1.35153 0.939077i
\(288\) −1.78351 3.90533i −0.105094 0.230124i
\(289\) −5.27661 36.6996i −0.310389 2.15880i
\(290\) −3.82198 2.45624i −0.224434 0.144235i
\(291\) 8.24167 + 28.0685i 0.483135 + 1.64541i
\(292\) 0.722921 + 0.103940i 0.0423058 + 0.00608265i
\(293\) 12.5637 14.4992i 0.733977 0.847054i −0.258937 0.965894i \(-0.583372\pi\)
0.992913 + 0.118840i \(0.0379175\pi\)
\(294\) −15.1415 11.3184i −0.883070 0.660105i
\(295\) −13.6400 + 11.8191i −0.794152 + 0.688137i
\(296\) −1.71882 + 5.85375i −0.0999041 + 0.340242i
\(297\) 1.44140 3.15624i 0.0836388 0.183143i
\(298\) 8.10960i 0.469776i
\(299\) 21.3220 + 12.9052i 1.23308 + 0.746327i
\(300\) 14.7045i 0.848965i
\(301\) 25.6441 + 6.53583i 1.47810 + 0.376719i
\(302\) −4.97978 1.46219i −0.286554 0.0841399i
\(303\) 23.9980 + 27.6951i 1.37865 + 1.59104i
\(304\) −1.53730 + 0.987964i −0.0881703 + 0.0566636i
\(305\) 7.09624 8.18949i 0.406329 0.468929i
\(306\) 4.49313 31.2504i 0.256855 1.78647i
\(307\) −7.77679 26.4853i −0.443845 1.51160i −0.813020 0.582236i \(-0.802178\pi\)
0.369175 0.929360i \(-0.379640\pi\)
\(308\) 1.00500 2.42865i 0.0572650 0.138385i
\(309\) 21.8655 3.14379i 1.24389 0.178844i
\(310\) −14.2317 + 6.49938i −0.808304 + 0.369140i
\(311\) 16.5276 7.54788i 0.937192 0.428001i 0.112543 0.993647i \(-0.464100\pi\)
0.824648 + 0.565646i \(0.191373\pi\)
\(312\) −1.99735 13.8919i −0.113078 0.786472i
\(313\) −5.34781 3.43683i −0.302276 0.194261i 0.380706 0.924696i \(-0.375681\pi\)
−0.682982 + 0.730435i \(0.739317\pi\)
\(314\) 15.8779 4.66218i 0.896043 0.263102i
\(315\) −1.32298 36.6869i −0.0745414 2.06707i
\(316\) 0.227786 + 0.197378i 0.0128140 + 0.0111034i
\(317\) 7.64036 4.91016i 0.429125 0.275782i −0.308198 0.951322i \(-0.599726\pi\)
0.737323 + 0.675540i \(0.236089\pi\)
\(318\) −10.7340 12.3877i −0.601932 0.694667i
\(319\) 0.393447 1.33996i 0.0220288 0.0750231i
\(320\) 1.34256 2.93980i 0.0750514 0.164340i
\(321\) −14.1030 −0.787155
\(322\) 5.98690 + 11.1874i 0.333637 + 0.623447i
\(323\) −13.4381 −0.747717
\(324\) −1.43211 + 3.13589i −0.0795618 + 0.174216i
\(325\) 7.97199 27.1501i 0.442206 1.50602i
\(326\) 4.71476 + 5.44112i 0.261126 + 0.301356i
\(327\) −22.6252 + 14.5403i −1.25117 + 0.804081i
\(328\) 7.96406 + 6.90090i 0.439742 + 0.381038i
\(329\) −19.2942 + 0.695776i −1.06372 + 0.0383594i
\(330\) 8.31945 2.44281i 0.457971 0.134472i
\(331\) 20.7974 + 13.3657i 1.14313 + 0.734643i 0.968259 0.249949i \(-0.0804138\pi\)
0.174868 + 0.984592i \(0.444050\pi\)
\(332\) 2.16596 + 15.0646i 0.118873 + 0.826776i
\(333\) −23.8259 + 10.8809i −1.30565 + 0.596272i
\(334\) −18.0790 + 8.25642i −0.989241 + 0.451771i
\(335\) −18.0647 + 2.59731i −0.986979 + 0.141906i
\(336\) 2.73205 6.60220i 0.149045 0.360180i
\(337\) −9.11296 31.0359i −0.496415 1.69063i −0.702153 0.712026i \(-0.747778\pi\)
0.205738 0.978607i \(-0.434040\pi\)
\(338\) 1.99346 13.8648i 0.108430 0.754147i
\(339\) −28.3450 + 32.7119i −1.53949 + 1.77666i
\(340\) 19.9933 12.8489i 1.08429 0.696831i
\(341\) −3.14939 3.63459i −0.170549 0.196824i
\(342\) −7.52777 2.21035i −0.407055 0.119522i
\(343\) −1.99883 18.4121i −0.107927 0.994159i
\(344\) 10.0024i 0.539294i
\(345\) −16.3571 + 38.5297i −0.880634 + 2.07437i
\(346\) 14.6655i 0.788424i
\(347\) −7.75091 + 16.9721i −0.416091 + 0.911112i 0.579291 + 0.815121i \(0.303329\pi\)
−0.995382 + 0.0959914i \(0.969398\pi\)
\(348\) 1.06957 3.64262i 0.0573349 0.195265i
\(349\) −1.97757 + 1.71358i −0.105857 + 0.0917257i −0.706181 0.708031i \(-0.749584\pi\)
0.600324 + 0.799757i \(0.295038\pi\)
\(350\) 10.5401 9.82001i 0.563394 0.524902i
\(351\) 11.8865 13.7178i 0.634456 0.732201i
\(352\) 0.983322 + 0.141380i 0.0524113 + 0.00753560i
\(353\) −4.67624 15.9258i −0.248891 0.847646i −0.985260 0.171065i \(-0.945279\pi\)
0.736368 0.676581i \(-0.236539\pi\)
\(354\) −12.6874 8.15373i −0.674330 0.433366i
\(355\) −0.113143 0.786925i −0.00600499 0.0417656i
\(356\) 3.75264 + 8.21713i 0.198889 + 0.435507i
\(357\) 43.1498 29.9816i 2.28373 1.58679i
\(358\) 3.43195 + 23.8697i 0.181384 + 1.26156i
\(359\) 5.75154 8.94957i 0.303554 0.472340i −0.655645 0.755069i \(-0.727603\pi\)
0.959200 + 0.282729i \(0.0912397\pi\)
\(360\) 13.3133 3.90914i 0.701672 0.206030i
\(361\) 2.22874 15.5012i 0.117302 0.815854i
\(362\) −1.90972 + 2.20393i −0.100373 + 0.115836i
\(363\) −14.6197 22.7487i −0.767337 1.19400i
\(364\) 8.62375 10.7090i 0.452007 0.561304i
\(365\) −0.665002 + 2.26479i −0.0348078 + 0.118544i
\(366\) 8.23674 + 3.76159i 0.430541 + 0.196622i
\(367\) −27.7984 −1.45106 −0.725532 0.688188i \(-0.758406\pi\)
−0.725532 + 0.688188i \(0.758406\pi\)
\(368\) −3.53858 + 3.23704i −0.184461 + 0.168742i
\(369\) 45.2427i 2.35524i
\(370\) −17.9353 8.19080i −0.932414 0.425819i
\(371\) 1.71103 15.9669i 0.0888322 0.828958i
\(372\) −8.56149 9.88049i −0.443893 0.512280i
\(373\) −6.39444 9.94994i −0.331091 0.515188i 0.635299 0.772266i \(-0.280877\pi\)
−0.966391 + 0.257078i \(0.917240\pi\)
\(374\) 5.52107 + 4.78404i 0.285488 + 0.247377i
\(375\) 3.84338 + 0.552594i 0.198471 + 0.0285358i
\(376\) −2.05588 7.00168i −0.106024 0.361084i
\(377\) 3.94966 6.14579i 0.203418 0.316524i
\(378\) 8.76698 2.92130i 0.450925 0.150255i
\(379\) 7.18067 3.27930i 0.368846 0.168446i −0.222365 0.974964i \(-0.571378\pi\)
0.591211 + 0.806517i \(0.298650\pi\)
\(380\) −2.45339 5.37217i −0.125856 0.275587i
\(381\) −20.8240 + 2.99404i −1.06685 + 0.153389i
\(382\) −2.91306 + 4.53281i −0.149045 + 0.231919i
\(383\) 24.9060 7.31306i 1.27264 0.373680i 0.425454 0.904980i \(-0.360115\pi\)
0.847184 + 0.531300i \(0.178296\pi\)
\(384\) 2.67312 + 0.384337i 0.136412 + 0.0196131i
\(385\) 7.30692 + 4.33198i 0.372395 + 0.220778i
\(386\) 14.5482 9.34957i 0.740485 0.475881i
\(387\) −32.4545 + 28.1220i −1.64976 + 1.42952i
\(388\) −10.3934 3.05178i −0.527645 0.154931i
\(389\) 20.0234 + 9.14438i 1.01523 + 0.463639i 0.852330 0.523004i \(-0.175189\pi\)
0.162897 + 0.986643i \(0.447916\pi\)
\(390\) 45.3582 2.29680
\(391\) −34.7604 + 5.95701i −1.75791 + 0.301259i
\(392\) 6.55695 2.45079i 0.331176 0.123783i
\(393\) −9.76904 + 21.3912i −0.492783 + 1.07904i
\(394\) 6.46652 + 1.89874i 0.325779 + 0.0956572i
\(395\) −0.736171 + 0.637896i −0.0370408 + 0.0320960i
\(396\) 2.30590 + 3.58805i 0.115876 + 0.180306i
\(397\) 4.34009 + 3.76071i 0.217823 + 0.188745i 0.756936 0.653489i \(-0.226695\pi\)
−0.539114 + 0.842233i \(0.681241\pi\)
\(398\) −1.10322 + 7.67306i −0.0552994 + 0.384616i
\(399\) −5.84858 11.6739i −0.292795 0.584425i
\(400\) 4.58052 + 2.94372i 0.229026 + 0.147186i
\(401\) 23.4176 3.36695i 1.16942 0.168137i 0.469881 0.882730i \(-0.344297\pi\)
0.699541 + 0.714593i \(0.253388\pi\)
\(402\) −6.33528 13.8723i −0.315975 0.691889i
\(403\) −10.4511 22.8847i −0.520606 1.13997i
\(404\) −13.4314 + 1.93114i −0.668235 + 0.0960778i
\(405\) −9.37289 6.02359i −0.465742 0.299315i
\(406\) 3.32530 1.66596i 0.165032 0.0826804i
\(407\) 0.862544 5.99913i 0.0427547 0.297366i
\(408\) 15.0088 + 13.0052i 0.743047 + 0.643854i
\(409\) 11.0026 + 17.1204i 0.544046 + 0.846551i 0.999034 0.0439460i \(-0.0139930\pi\)
−0.454988 + 0.890497i \(0.650357\pi\)
\(410\) −25.7387 + 22.3027i −1.27114 + 1.10145i
\(411\) 22.0646 + 6.47874i 1.08836 + 0.319573i
\(412\) −3.39800 + 7.44058i −0.167407 + 0.366571i
\(413\) −2.62842 14.5396i −0.129336 0.715445i
\(414\) −20.4519 2.38052i −1.00516 0.116996i
\(415\) −49.1872 −2.41450
\(416\) 4.72723 + 2.15886i 0.231772 + 0.105847i
\(417\) 3.04839 + 0.895089i 0.149280 + 0.0438327i
\(418\) 1.37198 1.18883i 0.0671060 0.0581477i
\(419\) −20.2981 + 13.0448i −0.991625 + 0.637279i −0.932575 0.360976i \(-0.882444\pi\)
−0.0590500 + 0.998255i \(0.518807\pi\)
\(420\) 19.8636 + 11.7763i 0.969244 + 0.574626i
\(421\) 3.34060 + 0.480306i 0.162811 + 0.0234087i 0.223238 0.974764i \(-0.428337\pi\)
−0.0604273 + 0.998173i \(0.519246\pi\)
\(422\) −1.31431 + 0.385917i −0.0639798 + 0.0187862i
\(423\) 16.9380 26.3560i 0.823552 1.28147i
\(424\) 6.00768 0.863774i 0.291759 0.0419486i
\(425\) 16.6332 + 36.4217i 0.806831 + 1.76671i
\(426\) 0.604300 0.275975i 0.0292784 0.0133710i
\(427\) 2.80439 + 8.41614i 0.135714 + 0.407286i
\(428\) 2.82331 4.39316i 0.136470 0.212352i
\(429\) 3.92807 + 13.3778i 0.189649 + 0.645886i
\(430\) −31.9973 4.60052i −1.54305 0.221857i
\(431\) −5.60001 4.85243i −0.269743 0.233733i 0.509477 0.860484i \(-0.329839\pi\)
−0.779220 + 0.626751i \(0.784384\pi\)
\(432\) 1.88831 + 2.93827i 0.0908514 + 0.141368i
\(433\) 23.7037 + 27.3556i 1.13913 + 1.31462i 0.942523 + 0.334142i \(0.108447\pi\)
0.196606 + 0.980483i \(0.437008\pi\)
\(434\) 1.36473 12.7353i 0.0655090 0.611312i
\(435\) 11.1606 + 5.09690i 0.535112 + 0.244378i
\(436\) 9.95870i 0.476935i
\(437\) 0.235940 + 8.76070i 0.0112865 + 0.419081i
\(438\) −1.97241 −0.0942452
\(439\) −13.7144 6.26316i −0.654553 0.298924i 0.0603197 0.998179i \(-0.480788\pi\)
−0.714872 + 0.699255i \(0.753515\pi\)
\(440\) −0.904540 + 3.08058i −0.0431223 + 0.146861i
\(441\) 26.3870 + 14.3847i 1.25652 + 0.684986i
\(442\) 20.6613 + 32.1495i 0.982755 + 1.52920i
\(443\) −11.2544 + 12.9882i −0.534711 + 0.617089i −0.957252 0.289254i \(-0.906593\pi\)
0.422541 + 0.906344i \(0.361138\pi\)
\(444\) 2.34479 16.3084i 0.111279 0.773963i
\(445\) −28.0122 + 8.22513i −1.32791 + 0.389909i
\(446\) 4.38677 6.82595i 0.207720 0.323218i
\(447\) 3.11682 + 21.6780i 0.147421 + 1.02533i
\(448\) 1.50968 + 2.17275i 0.0713258 + 0.102653i
\(449\) −3.56174 7.79912i −0.168089 0.368063i 0.806777 0.590856i \(-0.201210\pi\)
−0.974866 + 0.222793i \(0.928483\pi\)
\(450\) 3.32683 + 23.1386i 0.156828 + 1.09076i
\(451\) −8.80689 5.65984i −0.414700 0.266512i
\(452\) −4.51546 15.3782i −0.212389 0.723332i
\(453\) 13.8735 + 1.99471i 0.651836 + 0.0937199i
\(454\) 12.3996 14.3099i 0.581942 0.671597i
\(455\) 30.2912 + 32.5125i 1.42007 + 1.52421i
\(456\) 3.72969 3.23179i 0.174659 0.151343i
\(457\) −4.02842 + 13.7195i −0.188441 + 0.641773i 0.810024 + 0.586397i \(0.199454\pi\)
−0.998466 + 0.0553760i \(0.982364\pi\)
\(458\) −2.59859 + 5.69013i −0.121424 + 0.265882i
\(459\) 25.6845i 1.19885i
\(460\) −8.72762 12.8086i −0.406927 0.597205i
\(461\) 7.49472i 0.349064i 0.984652 + 0.174532i \(0.0558412\pi\)
−0.984652 + 0.174532i \(0.944159\pi\)
\(462\) −1.75306 + 6.87835i −0.0815598 + 0.320010i
\(463\) 38.8757 + 11.4149i 1.80670 + 0.530496i 0.998308 0.0581418i \(-0.0185176\pi\)
0.808397 + 0.588638i \(0.200336\pi\)
\(464\) 0.920574 + 1.06240i 0.0427366 + 0.0493206i
\(465\) 35.5451 22.8434i 1.64836 1.05934i
\(466\) −14.1996 + 16.3872i −0.657784 + 0.759123i
\(467\) −1.20176 + 8.35840i −0.0556107 + 0.386781i 0.942940 + 0.332963i \(0.108048\pi\)
−0.998551 + 0.0538183i \(0.982861\pi\)
\(468\) 6.28594 + 21.4080i 0.290568 + 0.989583i
\(469\) 5.71278 13.8054i 0.263792 0.637473i
\(470\) 23.3437 3.35631i 1.07676 0.154815i
\(471\) −40.6518 + 18.5651i −1.87314 + 0.855433i
\(472\) 5.07985 2.31989i 0.233819 0.106782i
\(473\) −1.41415 9.83560i −0.0650225 0.452241i
\(474\) −0.684760 0.440068i −0.0314521 0.0202130i
\(475\) 9.54690 2.80322i 0.438042 0.128621i
\(476\) 0.701157 + 19.4434i 0.0321375 + 0.891189i
\(477\) 19.6934 + 17.0644i 0.901697 + 0.781325i
\(478\) −10.7316 + 6.89676i −0.490850 + 0.315450i
\(479\) −2.20330 2.54275i −0.100672 0.116181i 0.703178 0.711014i \(-0.251764\pi\)
−0.803849 + 0.594833i \(0.797218\pi\)
\(480\) −2.45896 + 8.37444i −0.112236 + 0.382239i
\(481\) 13.1709 28.8403i 0.600542 1.31500i
\(482\) 19.9400 0.908241
\(483\) −20.3035 27.6042i −0.923839 1.25604i
\(484\) 10.0131 0.455140
\(485\) 14.5429 31.8444i 0.660357 1.44598i
\(486\) 5.57502 18.9868i 0.252888 0.861257i
\(487\) 0.395912 + 0.456906i 0.0179405 + 0.0207044i 0.764649 0.644447i \(-0.222912\pi\)
−0.746708 + 0.665151i \(0.768367\pi\)
\(488\) −2.82068 + 1.81274i −0.127686 + 0.0820590i
\(489\) −14.6944 12.7327i −0.664502 0.575794i
\(490\) 4.82415 + 22.1026i 0.217933 + 0.998495i
\(491\) −12.9398 + 3.79948i −0.583967 + 0.171468i −0.560354 0.828253i \(-0.689335\pi\)
−0.0236127 + 0.999721i \(0.507517\pi\)
\(492\) −23.9412 15.3861i −1.07935 0.693657i
\(493\) 1.47118 + 10.2323i 0.0662587 + 0.460839i
\(494\) 8.63852 3.94508i 0.388665 0.177498i
\(495\) −12.5386 + 5.72618i −0.563568 + 0.257373i
\(496\) 4.79176 0.688951i 0.215156 0.0309348i
\(497\) 0.601383 + 0.248857i 0.0269757 + 0.0111628i
\(498\) −11.5798 39.4370i −0.518902 1.76722i
\(499\) −2.23543 + 15.5478i −0.100072 + 0.696015i 0.876591 + 0.481236i \(0.159812\pi\)
−0.976663 + 0.214779i \(0.931097\pi\)
\(500\) −0.941549 + 1.08661i −0.0421073 + 0.0485945i
\(501\) 45.1543 29.0189i 2.01734 1.29647i
\(502\) 14.9021 + 17.1980i 0.665114 + 0.767583i
\(503\) 3.49995 + 1.02768i 0.156055 + 0.0458218i 0.358827 0.933404i \(-0.383177\pi\)
−0.202772 + 0.979226i \(0.564995\pi\)
\(504\) −2.80535 + 11.0072i −0.124960 + 0.490298i
\(505\) 43.8546i 1.95150i
\(506\) 3.02191 3.68334i 0.134340 0.163744i
\(507\) 37.8286i 1.68003i
\(508\) 3.23614 7.08616i 0.143581 0.314397i
\(509\) −1.01778 + 3.46624i −0.0451124 + 0.153639i −0.978969 0.204009i \(-0.934603\pi\)
0.933857 + 0.357647i \(0.116421\pi\)
\(510\) −48.5063 + 42.0310i −2.14790 + 1.86116i
\(511\) −1.31722 1.41381i −0.0582703 0.0625434i
\(512\) −0.654861 + 0.755750i −0.0289410 + 0.0333997i
\(513\) 6.31762 + 0.908337i 0.278930 + 0.0401041i
\(514\) 5.49030 + 18.6983i 0.242167 + 0.824745i
\(515\) −22.2392 14.2923i −0.979977 0.629793i
\(516\) −3.84430 26.7377i −0.169236 1.17706i
\(517\) 3.01149 + 6.59424i 0.132445 + 0.290014i
\(518\) 13.2557 9.21039i 0.582422 0.404681i
\(519\) −5.63651 39.2028i −0.247415 1.72081i
\(520\) −9.08034 + 14.1293i −0.398199 + 0.619610i
\(521\) 37.2419 10.9352i 1.63160 0.479081i 0.667496 0.744613i \(-0.267366\pi\)
0.964102 + 0.265532i \(0.0855478\pi\)
\(522\) −0.858919 + 5.97391i −0.0375938 + 0.261471i
\(523\) 6.39362 7.37863i 0.279573 0.322645i −0.598544 0.801090i \(-0.704254\pi\)
0.878118 + 0.478445i \(0.158799\pi\)
\(524\) −4.70778 7.32545i −0.205660 0.320014i
\(525\) −24.4009 + 30.3011i −1.06494 + 1.32245i
\(526\) 4.26863 14.5376i 0.186121 0.633870i
\(527\) 32.3825 + 14.7886i 1.41060 + 0.644201i
\(528\) −2.68288 −0.116757
\(529\) 4.49385 + 22.5567i 0.195385 + 0.980727i
\(530\) 19.6156i 0.852047i
\(531\) 21.8094 + 9.96000i 0.946446 + 0.432227i
\(532\) 4.80731 + 0.515157i 0.208423 + 0.0223349i
\(533\) −35.8630 41.3881i −1.55340 1.79272i
\(534\) −13.1894 20.5231i −0.570762 0.888122i
\(535\) 12.7550 + 11.0523i 0.551446 + 0.477831i
\(536\) 5.58957 + 0.803659i 0.241433 + 0.0347128i
\(537\) −18.3481 62.4878i −0.791777 2.69655i
\(538\) −0.593423 + 0.923384i −0.0255843 + 0.0398099i
\(539\) −6.10111 + 3.33694i −0.262793 + 0.143732i
\(540\) −10.2679 + 4.68920i −0.441861 + 0.201791i
\(541\) 0.660404 + 1.44608i 0.0283930 + 0.0621719i 0.923297 0.384086i \(-0.125484\pi\)
−0.894904 + 0.446258i \(0.852756\pi\)
\(542\) 0.252092 0.0362453i 0.0108283 0.00155687i
\(543\) 4.25786 6.62536i 0.182722 0.284321i
\(544\) −7.05583 + 2.07178i −0.302516 + 0.0888268i
\(545\) 31.8575 + 4.58041i 1.36462 + 0.196203i
\(546\) −18.9365 + 31.9409i −0.810407 + 1.36695i
\(547\) 16.0342 10.3046i 0.685573 0.440591i −0.150936 0.988543i \(-0.548229\pi\)
0.836510 + 0.547952i \(0.184592\pi\)
\(548\) −6.43530 + 5.57622i −0.274903 + 0.238204i
\(549\) −13.8122 4.05561i −0.589488 0.173089i
\(550\) −4.92032 2.24703i −0.209803 0.0958138i
\(551\) 2.56887 0.109438
\(552\) 8.21496 10.0130i 0.349652 0.426182i
\(553\) −0.141859 0.784721i −0.00603248 0.0333697i
\(554\) −3.10213 + 6.79272i −0.131797 + 0.288595i
\(555\) 51.0914 + 15.0018i 2.16871 + 0.636791i
\(556\) −0.889088 + 0.770399i −0.0377057 + 0.0326722i
\(557\) 11.5883 + 18.0317i 0.491011 + 0.764028i 0.995021 0.0996701i \(-0.0317787\pi\)
−0.504010 + 0.863698i \(0.668142\pi\)
\(558\) 15.7075 + 13.6107i 0.664953 + 0.576185i
\(559\) 7.39770 51.4521i 0.312889 2.17619i
\(560\) −7.64491 + 3.83008i −0.323056 + 0.161850i
\(561\) −16.5972 10.6664i −0.700734 0.450334i
\(562\) 12.3749 1.77924i 0.522003 0.0750527i
\(563\) −12.2834 26.8970i −0.517685 1.13357i −0.970309 0.241870i \(-0.922239\pi\)
0.452624 0.891702i \(-0.350488\pi\)
\(564\) 8.18662 + 17.9262i 0.344719 + 0.754829i
\(565\) 51.2712 7.37169i 2.15700 0.310129i
\(566\) 5.24293 + 3.36942i 0.220377 + 0.141627i
\(567\) 8.15484 4.08555i 0.342471 0.171577i
\(568\) −0.0350086 + 0.243490i −0.00146893 + 0.0102166i
\(569\) 19.1732 + 16.6137i 0.803782 + 0.696481i 0.956482 0.291792i \(-0.0942515\pi\)
−0.152700 + 0.988273i \(0.548797\pi\)
\(570\) 8.62294 + 13.4176i 0.361175 + 0.561999i
\(571\) 1.83278 1.58811i 0.0766995 0.0664605i −0.615667 0.788006i \(-0.711113\pi\)
0.692367 + 0.721546i \(0.256568\pi\)
\(572\) −4.95361 1.45451i −0.207121 0.0608162i
\(573\) 6.04484 13.2364i 0.252527 0.552957i
\(574\) −4.95982 27.4361i −0.207019 1.14516i
\(575\) 23.4523 11.4832i 0.978029 0.478881i
\(576\) −4.29331 −0.178888
\(577\) 9.05886 + 4.13704i 0.377125 + 0.172227i 0.594954 0.803760i \(-0.297170\pi\)
−0.217829 + 0.975987i \(0.569897\pi\)
\(578\) −35.5751 10.4458i −1.47973 0.434488i
\(579\) −35.2958 + 30.5840i −1.46684 + 1.27103i
\(580\) −3.82198 + 2.45624i −0.158699 + 0.101990i
\(581\) 20.5351 34.6373i 0.851938 1.43700i
\(582\) 28.9558 + 4.16321i 1.20025 + 0.172571i
\(583\) −5.78537 + 1.69874i −0.239605 + 0.0703545i
\(584\) 0.394860 0.614414i 0.0163394 0.0254246i
\(585\) −71.3743 + 10.2621i −2.95097 + 0.424285i
\(586\) −7.96984 17.4515i −0.329231 0.720915i
\(587\) −14.6047 + 6.66972i −0.602799 + 0.275289i −0.693348 0.720603i \(-0.743865\pi\)
0.0905492 + 0.995892i \(0.471138\pi\)
\(588\) −16.5856 + 9.07134i −0.683980 + 0.374096i
\(589\) 4.78277 7.44213i 0.197071 0.306648i
\(590\) 5.08480 + 17.3172i 0.209338 + 0.712939i
\(591\) −18.0156 2.59025i −0.741061 0.106549i
\(592\) 4.61073 + 3.99522i 0.189500 + 0.164203i
\(593\) −10.1540 15.7999i −0.416975 0.648825i 0.567698 0.823237i \(-0.307834\pi\)
−0.984673 + 0.174411i \(0.944198\pi\)
\(594\) −2.27223 2.62230i −0.0932308 0.107594i
\(595\) −62.5213 6.69986i −2.56312 0.274667i
\(596\) −7.37675 3.36885i −0.302163 0.137993i
\(597\) 20.9350i 0.856814i
\(598\) 20.5964 14.0341i 0.842251 0.573898i
\(599\) −48.0943 −1.96508 −0.982539 0.186056i \(-0.940430\pi\)
−0.982539 + 0.186056i \(0.940430\pi\)
\(600\) −13.3757 6.10847i −0.546060 0.249377i
\(601\) −8.12604 + 27.6748i −0.331468 + 1.12888i 0.610176 + 0.792266i \(0.291099\pi\)
−0.941644 + 0.336611i \(0.890719\pi\)
\(602\) 16.5982 20.6116i 0.676490 0.840068i
\(603\) 13.1076 + 20.3958i 0.533782 + 0.830581i
\(604\) −3.39873 + 3.92235i −0.138293 + 0.159598i
\(605\) −4.60543 + 32.0315i −0.187237 + 1.30226i
\(606\) 35.1615 10.3243i 1.42834 0.419398i
\(607\) −18.4193 + 28.6609i −0.747614 + 1.16331i 0.233963 + 0.972245i \(0.424831\pi\)
−0.981577 + 0.191065i \(0.938806\pi\)
\(608\) 0.260065 + 1.80879i 0.0105470 + 0.0733563i
\(609\) −8.24864 + 5.73136i −0.334252 + 0.232247i
\(610\) −4.50154 9.85700i −0.182262 0.399098i
\(611\) 5.39699 + 37.5369i 0.218339 + 1.51858i
\(612\) −26.5598 17.0690i −1.07362 0.689972i
\(613\) −9.96632 33.9422i −0.402536 1.37091i −0.872667 0.488315i \(-0.837612\pi\)
0.470132 0.882596i \(-0.344206\pi\)
\(614\) −27.3225 3.92838i −1.10265 0.158536i
\(615\) 60.2309 69.5102i 2.42874 2.80292i
\(616\) −1.79169 1.92308i −0.0721892 0.0774830i
\(617\) −28.6459 + 24.8218i −1.15324 + 0.999289i −0.153302 + 0.988179i \(0.548991\pi\)
−0.999938 + 0.0111095i \(0.996464\pi\)
\(618\) 6.22358 21.1956i 0.250349 0.852611i
\(619\) 12.9916 28.4476i 0.522176 1.14341i −0.446433 0.894817i \(-0.647306\pi\)
0.968609 0.248589i \(-0.0799669\pi\)
\(620\) 15.6455i 0.628339i
\(621\) 16.7445 0.450955i 0.671932 0.0180962i
\(622\) 18.1695i 0.728531i
\(623\) 5.90269 23.1599i 0.236486 0.927883i
\(624\) −13.4662 3.95404i −0.539080 0.158288i
\(625\) 14.7852 + 17.0631i 0.591410 + 0.682523i
\(626\) −5.34781 + 3.43683i −0.213741 + 0.137363i
\(627\) −3.21057 + 3.70520i −0.128218 + 0.147971i
\(628\) 2.35506 16.3798i 0.0939772 0.653625i
\(629\) 12.6397 + 43.0468i 0.503977 + 1.71639i
\(630\) −33.9211 14.0369i −1.35145 0.559242i
\(631\) −2.43880 + 0.350647i −0.0970872 + 0.0139590i −0.190687 0.981651i \(-0.561072\pi\)
0.0936000 + 0.995610i \(0.470163\pi\)
\(632\) 0.274167 0.125208i 0.0109058 0.00498050i
\(633\) 3.36500 1.53674i 0.133747 0.0610801i
\(634\) −1.29252 8.98967i −0.0513325 0.357026i
\(635\) 21.1799 + 13.6115i 0.840498 + 0.540156i
\(636\) −15.7273 + 4.61795i −0.623628 + 0.183114i
\(637\) −35.5413 + 7.75730i −1.40820 + 0.307355i
\(638\) −1.05542 0.914529i −0.0417846 0.0362066i
\(639\) −0.888472 + 0.570986i −0.0351474 + 0.0225879i
\(640\) −2.11641 2.44247i −0.0836586 0.0965472i
\(641\) −5.57616 + 18.9907i −0.220245 + 0.750086i 0.773036 + 0.634362i \(0.218737\pi\)
−0.993281 + 0.115724i \(0.963081\pi\)
\(642\) −5.85861 + 12.8286i −0.231221 + 0.506303i
\(643\) −20.1026 −0.792770 −0.396385 0.918084i \(-0.629735\pi\)
−0.396385 + 0.918084i \(0.629735\pi\)
\(644\) 12.6634 0.798483i 0.499009 0.0314646i
\(645\) 87.3010 3.43747
\(646\) −5.58240 + 12.2237i −0.219637 + 0.480937i
\(647\) −6.50475 + 22.1531i −0.255728 + 0.870930i 0.727120 + 0.686511i \(0.240858\pi\)
−0.982848 + 0.184419i \(0.940960\pi\)
\(648\) 2.25758 + 2.60539i 0.0886862 + 0.102349i
\(649\) −4.66714 + 2.99939i −0.183201 + 0.117736i
\(650\) −21.3849 18.5301i −0.838785 0.726812i
\(651\) 1.24655 + 34.5675i 0.0488561 + 1.35481i
\(652\) 6.90800 2.02837i 0.270538 0.0794371i
\(653\) −14.9853 9.63044i −0.586418 0.376868i 0.213531 0.976936i \(-0.431504\pi\)
−0.799949 + 0.600068i \(0.795140\pi\)
\(654\) 3.82750 + 26.6208i 0.149667 + 1.04096i
\(655\) 25.5991 11.6907i 1.00024 0.456794i
\(656\) 9.58566 4.37763i 0.374257 0.170918i
\(657\) 3.10372 0.446248i 0.121088 0.0174098i
\(658\) −7.38221 + 17.8397i −0.287788 + 0.695463i
\(659\) 10.6885 + 36.4016i 0.416363 + 1.41800i 0.854667 + 0.519176i \(0.173761\pi\)
−0.438304 + 0.898827i \(0.644421\pi\)
\(660\) 1.23397 8.58242i 0.0480321 0.334070i
\(661\) −15.7756 + 18.2060i −0.613600 + 0.708132i −0.974479 0.224481i \(-0.927931\pi\)
0.360879 + 0.932613i \(0.382477\pi\)
\(662\) 20.7974 13.3657i 0.808313 0.519471i
\(663\) −67.5864 77.9988i −2.62484 3.02922i
\(664\) 14.6030 + 4.28783i 0.566706 + 0.166400i
\(665\) −3.85904 + 15.1414i −0.149647 + 0.587160i
\(666\) 26.1929i 1.01496i
\(667\) 6.64489 1.13876i 0.257291 0.0440929i
\(668\) 19.8751i 0.768991i
\(669\) −9.10292 + 19.9326i −0.351939 + 0.770639i
\(670\) −5.14174 + 17.5112i −0.198643 + 0.676515i
\(671\) 2.51735 2.18130i 0.0971814 0.0842082i
\(672\) −4.87064 5.22781i −0.187889 0.201667i
\(673\) −24.9473 + 28.7907i −0.961646 + 1.10980i 0.0322503 + 0.999480i \(0.489733\pi\)
−0.993896 + 0.110319i \(0.964813\pi\)
\(674\) −32.0169 4.60334i −1.23325 0.177314i
\(675\) −5.35784 18.2471i −0.206223 0.702333i
\(676\) −11.7838 7.57297i −0.453222 0.291268i
\(677\) −4.29186 29.8505i −0.164950 1.14725i −0.889135 0.457644i \(-0.848693\pi\)
0.724186 0.689605i \(-0.242216\pi\)
\(678\) 17.9808 + 39.3725i 0.690549 + 1.51209i
\(679\) 16.3532 + 23.5356i 0.627577 + 0.903215i
\(680\) −3.38227 23.5242i −0.129704 0.902112i
\(681\) −27.6459 + 43.0178i −1.05939 + 1.64845i
\(682\) −4.61444 + 1.35492i −0.176696 + 0.0518826i
\(683\) 0.0548993 0.381833i 0.00210066 0.0146104i −0.988744 0.149616i \(-0.952196\pi\)
0.990845 + 0.135006i \(0.0431053\pi\)
\(684\) −5.13776 + 5.92929i −0.196447 + 0.226712i
\(685\) −14.8782 23.1510i −0.568469 0.884554i
\(686\) −17.5786 5.83046i −0.671153 0.222608i
\(687\) 4.75944 16.2092i 0.181584 0.618418i
\(688\) 9.09852 + 4.15515i 0.346878 + 0.158414i
\(689\) −31.5422 −1.20166
\(690\) 28.2528 + 30.8847i 1.07557 + 1.17576i
\(691\) 34.8820i 1.32697i −0.748187 0.663487i \(-0.769076\pi\)
0.748187 0.663487i \(-0.230924\pi\)
\(692\) 13.3402 + 6.09228i 0.507120 + 0.231594i
\(693\) 1.20237 11.2202i 0.0456743 0.426220i
\(694\) 12.2186 + 14.1010i 0.463810 + 0.535265i
\(695\) −2.05555 3.19849i −0.0779713 0.121326i
\(696\) −2.86913 2.48611i −0.108754 0.0942359i
\(697\) 76.7043 + 11.0284i 2.90538 + 0.417731i
\(698\) 0.737211 + 2.51071i 0.0279039 + 0.0950318i
\(699\) 31.6591 49.2625i 1.19746 1.86328i
\(700\) −4.55407 13.6670i −0.172128 0.516565i
\(701\) −9.86090 + 4.50332i −0.372441 + 0.170088i −0.592837 0.805322i \(-0.701992\pi\)
0.220396 + 0.975410i \(0.429265\pi\)
\(702\) −7.54029 16.5109i −0.284590 0.623165i
\(703\) 11.0352 1.58663i 0.416202 0.0598408i
\(704\) 0.537091 0.835730i 0.0202424 0.0314978i
\(705\) −61.1105 + 17.9437i −2.30156 + 0.675798i
\(706\) −16.4292 2.36216i −0.618322 0.0889012i
\(707\) 30.8821 + 18.3088i 1.16144 + 0.688572i
\(708\) −12.6874 + 8.15373i −0.476823 + 0.306436i
\(709\) −3.15018 + 2.72965i −0.118308 + 0.102514i −0.712005 0.702174i \(-0.752213\pi\)
0.593698 + 0.804688i \(0.297667\pi\)
\(710\) −0.762813 0.223982i −0.0286279 0.00840590i
\(711\) 1.17708 + 0.537556i 0.0441440 + 0.0201599i
\(712\) 9.03346 0.338543
\(713\) 9.07255 21.3707i 0.339770 0.800340i
\(714\) −9.34712 51.7053i −0.349807 1.93502i
\(715\) 6.93129 15.1774i 0.259216 0.567603i
\(716\) 23.1384 + 6.79404i 0.864721 + 0.253905i
\(717\) 26.0361 22.5604i 0.972337 0.842534i
\(718\) −5.75154 8.94957i −0.214645 0.333995i
\(719\) −11.2532 9.75099i −0.419675 0.363651i 0.419275 0.907859i \(-0.362284\pi\)
−0.838950 + 0.544209i \(0.816830\pi\)
\(720\) 1.97467 13.7341i 0.0735915 0.511840i
\(721\) 19.3491 9.69386i 0.720600 0.361018i
\(722\) −13.1746 8.46678i −0.490306 0.315101i
\(723\) −53.3021 + 7.66368i −1.98232 + 0.285015i
\(724\) 1.21144 + 2.65269i 0.0450229 + 0.0985863i
\(725\) −3.17966 6.96248i −0.118089 0.258580i
\(726\) −26.7662 + 3.84840i −0.993388 + 0.142828i
\(727\) 29.7705 + 19.1324i 1.10413 + 0.709580i 0.960006 0.279980i \(-0.0903279\pi\)
0.144122 + 0.989560i \(0.453964\pi\)
\(728\) −6.15881 12.2931i −0.228261 0.455613i
\(729\) −6.13354 + 42.6597i −0.227168 + 1.57999i
\(730\) 1.78387 + 1.54573i 0.0660241 + 0.0572102i
\(731\) 39.7668 + 61.8783i 1.47083 + 2.28865i
\(732\) 6.84333 5.92978i 0.252937 0.219171i
\(733\) 46.4594 + 13.6417i 1.71602 + 0.503868i 0.984113 0.177542i \(-0.0568146\pi\)
0.731902 + 0.681410i \(0.238633\pi\)
\(734\) −11.5479 + 25.2863i −0.426240 + 0.933335i
\(735\) −21.3904 57.2290i −0.788997 2.11092i
\(736\) 1.47453 + 4.56352i 0.0543521 + 0.168214i
\(737\) −5.60997 −0.206646
\(738\) 41.1542 + 18.7945i 1.51491 + 0.691835i
\(739\) −17.1623 5.03929i −0.631324 0.185373i −0.0496123 0.998769i \(-0.515799\pi\)
−0.581712 + 0.813395i \(0.697617\pi\)
\(740\) −14.9012 + 12.9120i −0.547780 + 0.474654i
\(741\) −21.5756 + 13.8658i −0.792600 + 0.509373i
\(742\) −13.8132 8.18928i −0.507098 0.300638i
\(743\) 24.6550 + 3.54485i 0.904503 + 0.130048i 0.578843 0.815439i \(-0.303504\pi\)
0.325660 + 0.945487i \(0.394414\pi\)
\(744\) −12.5442 + 3.68330i −0.459892 + 0.135036i
\(745\) 14.1697 22.0484i 0.519137 0.807792i
\(746\) −11.7071 + 1.68323i −0.428628 + 0.0616274i
\(747\) 27.1440 + 59.4372i 0.993149 + 2.17469i
\(748\) 6.64525 3.03478i 0.242974 0.110963i
\(749\) −13.1080 + 4.36779i −0.478955 + 0.159596i
\(750\) 2.09925 3.26650i 0.0766539 0.119276i
\(751\) −10.5907 36.0687i −0.386462 1.31617i −0.891481 0.453059i \(-0.850333\pi\)
0.505019 0.863108i \(-0.331485\pi\)
\(752\) −7.22299 1.03851i −0.263395 0.0378705i
\(753\) −46.4451 40.2449i −1.69255 1.46660i
\(754\) −3.94966 6.14579i −0.143838 0.223817i
\(755\) −10.9842 12.6765i −0.399756 0.461343i
\(756\) 0.984628 9.18828i 0.0358106 0.334175i
\(757\) 0.876001 + 0.400056i 0.0318388 + 0.0145403i 0.431271 0.902223i \(-0.358065\pi\)
−0.399432 + 0.916763i \(0.630793\pi\)
\(758\) 7.89403i 0.286724i
\(759\) −6.66231 + 11.0075i −0.241826 + 0.399545i
\(760\) −5.90587 −0.214229
\(761\) −10.9260 4.98973i −0.396066 0.180878i 0.207418 0.978252i \(-0.433494\pi\)
−0.603484 + 0.797375i \(0.706221\pi\)
\(762\) −5.92713 + 20.1860i −0.214717 + 0.731260i
\(763\) −16.5256 + 20.5216i −0.598267 + 0.742930i
\(764\) 2.91306 + 4.53281i 0.105391 + 0.163991i
\(765\) 66.8189 77.1131i 2.41584 2.78803i
\(766\) 3.69413 25.6933i 0.133474 0.928335i
\(767\) −27.8463 + 8.17642i −1.00547 + 0.295234i
\(768\) 1.46006 2.27190i 0.0526854 0.0819801i
\(769\) −2.00240 13.9270i −0.0722082 0.502219i −0.993544 0.113451i \(-0.963810\pi\)
0.921335 0.388769i \(-0.127099\pi\)
\(770\) 6.97591 4.84704i 0.251394 0.174675i
\(771\) −21.8627 47.8726i −0.787366 1.72409i
\(772\) −2.46112 17.1175i −0.0885777 0.616071i