Properties

Label 441.2.z.a.4.13
Level $441$
Weight $2$
Character 441.4
Analytic conductor $3.521$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 441 = 3^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 441.z (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.52140272914\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 4.13
Character \(\chi\) \(=\) 441.4
Dual form 441.2.z.a.331.13

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.122748 + 1.63795i) q^{2} +(0.324451 + 1.70139i) q^{3} +(-0.690165 - 0.104026i) q^{4} +(0.354390 - 1.55268i) q^{5} +(-2.82663 + 0.322594i) q^{6} +(2.24116 + 1.40613i) q^{7} +(-0.475897 + 2.08504i) q^{8} +(-2.78946 + 1.10404i) q^{9} +O(q^{10})\) \(q+(-0.122748 + 1.63795i) q^{2} +(0.324451 + 1.70139i) q^{3} +(-0.690165 - 0.104026i) q^{4} +(0.354390 - 1.55268i) q^{5} +(-2.82663 + 0.322594i) q^{6} +(2.24116 + 1.40613i) q^{7} +(-0.475897 + 2.08504i) q^{8} +(-2.78946 + 1.10404i) q^{9} +(2.49973 + 0.771063i) q^{10} +(1.86872 - 0.899929i) q^{11} +(-0.0469366 - 1.20799i) q^{12} +(-0.129127 + 1.72308i) q^{13} +(-2.57827 + 3.49832i) q^{14} +(2.75671 + 0.0991858i) q^{15} +(-4.69069 - 1.44689i) q^{16} +(-3.41500 + 0.514728i) q^{17} +(-1.46596 - 4.70453i) q^{18} +(1.13809 + 1.97123i) q^{19} +(-0.406106 + 1.03474i) q^{20} +(-1.66523 + 4.26931i) q^{21} +(1.24466 + 3.17135i) q^{22} +(-0.552405 + 0.692694i) q^{23} +(-3.70187 - 0.133193i) q^{24} +(2.21961 + 1.06891i) q^{25} +(-2.80647 - 0.423008i) q^{26} +(-2.78344 - 4.38776i) q^{27} +(-1.40050 - 1.20360i) q^{28} +(0.740080 - 1.88569i) q^{29} +(-0.500841 + 4.50318i) q^{30} +(0.776379 + 1.34473i) q^{31} +(1.38302 - 3.52388i) q^{32} +(2.13744 + 2.88744i) q^{33} +(-0.423918 - 5.65679i) q^{34} +(2.97752 - 2.98150i) q^{35} +(2.04004 - 0.471792i) q^{36} +(0.883157 - 2.25025i) q^{37} +(-3.36848 + 1.62217i) q^{38} +(-2.97353 + 0.339360i) q^{39} +(3.06876 + 1.47784i) q^{40} +(-7.62226 - 7.07243i) q^{41} +(-6.78853 - 3.25161i) q^{42} +(6.98388 - 6.48009i) q^{43} +(-1.38334 + 0.426704i) q^{44} +(0.725663 + 4.72242i) q^{45} +(-1.06679 - 0.989841i) q^{46} +(0.861749 - 11.4992i) q^{47} +(0.939819 - 8.45014i) q^{48} +(3.04561 + 6.30272i) q^{49} +(-2.02327 + 3.50441i) q^{50} +(-1.98375 - 5.64324i) q^{51} +(0.268363 - 1.17578i) q^{52} +(1.74985 + 4.45854i) q^{53} +(7.52861 - 4.02056i) q^{54} +(-0.735050 - 3.22046i) q^{55} +(-3.99840 + 4.00374i) q^{56} +(-2.98457 + 2.57590i) q^{57} +(2.99783 + 1.44368i) q^{58} +(1.23786 - 1.14857i) q^{59} +(-1.89226 - 0.355222i) q^{60} +(-2.31566 + 0.349029i) q^{61} +(-2.29790 + 1.10661i) q^{62} +(-7.80405 - 1.44802i) q^{63} +(-3.24311 - 1.56180i) q^{64} +(2.62964 + 0.811136i) q^{65} +(-4.99187 + 3.14660i) q^{66} +(5.83254 + 10.1023i) q^{67} +2.41046 q^{68} +(-1.35777 - 0.715112i) q^{69} +(4.51807 + 5.24301i) q^{70} +(-1.05296 + 1.32037i) q^{71} +(-0.974465 - 6.34155i) q^{72} +(13.1499 - 8.96542i) q^{73} +(3.57739 + 1.72278i) q^{74} +(-1.09847 + 4.12323i) q^{75} +(-0.580410 - 1.47886i) q^{76} +(5.45352 + 0.610777i) q^{77} +(-0.190862 - 4.91216i) q^{78} +(-0.697467 + 1.20805i) q^{79} +(-3.90889 + 6.77040i) q^{80} +(6.56221 - 6.15934i) q^{81} +(12.5199 - 11.6168i) q^{82} +(0.451500 + 6.02485i) q^{83} +(1.59340 - 2.77330i) q^{84} +(-0.411031 + 5.48483i) q^{85} +(9.75684 + 12.2347i) q^{86} +(3.44842 + 0.647350i) q^{87} +(0.987070 + 4.32464i) q^{88} +(0.761365 + 10.1597i) q^{89} +(-7.82417 + 0.608937i) q^{90} +(-2.71227 + 3.68013i) q^{91} +(0.453308 - 0.420609i) q^{92} +(-2.03601 + 1.75722i) q^{93} +(18.7295 + 2.82301i) q^{94} +(3.46402 - 1.06851i) q^{95} +(6.44423 + 1.20973i) q^{96} +(-1.75982 - 3.04809i) q^{97} +(-10.6974 + 4.21492i) q^{98} +(-4.21918 + 4.57346i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648 q - 8 q^{2} - 13 q^{3} + 44 q^{4} + 3 q^{5} + 2 q^{6} - 7 q^{7} - 16 q^{8} - 39 q^{9} + O(q^{10}) \) \( 648 q - 8 q^{2} - 13 q^{3} + 44 q^{4} + 3 q^{5} + 2 q^{6} - 7 q^{7} - 16 q^{8} - 39 q^{9} - 22 q^{10} - 5 q^{11} + 2 q^{12} - 4 q^{13} + 52 q^{14} - 4 q^{15} + 38 q^{16} - 37 q^{17} - 16 q^{18} - 14 q^{19} - 11 q^{20} - 6 q^{21} - q^{22} - 20 q^{23} - 26 q^{24} - 97 q^{25} - 44 q^{26} + 14 q^{27} - 22 q^{28} - 53 q^{29} - 9 q^{30} + 10 q^{31} - 10 q^{32} + 2 q^{33} - 7 q^{34} - 32 q^{35} - 22 q^{36} - 39 q^{37} + 59 q^{38} - 26 q^{39} - 19 q^{40} - 17 q^{41} - 83 q^{42} - q^{43} - 31 q^{44} + 81 q^{45} + 56 q^{46} + 50 q^{47} - 23 q^{48} - 19 q^{49} - 21 q^{50} - 30 q^{51} - 9 q^{52} + 50 q^{53} + 48 q^{54} + 20 q^{55} - 239 q^{56} + 33 q^{57} + 17 q^{58} - 37 q^{59} - 152 q^{60} - 105 q^{61} - 30 q^{62} + 6 q^{63} - 88 q^{64} - 5 q^{65} - 99 q^{66} + 13 q^{67} - 290 q^{68} + 64 q^{69} + 17 q^{70} - 19 q^{71} + 11 q^{72} - 40 q^{73} - 57 q^{74} + 69 q^{75} - 41 q^{76} + 19 q^{77} + 81 q^{78} + 13 q^{79} + 163 q^{80} - 179 q^{81} - 28 q^{82} + 73 q^{83} - 341 q^{84} - 10 q^{85} + 15 q^{86} + 13 q^{87} - 13 q^{88} - 104 q^{89} + 171 q^{90} - 49 q^{91} - 91 q^{92} - 275 q^{93} - 4 q^{94} - 29 q^{95} + 231 q^{96} - 11 q^{97} - 33 q^{98} + 62 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{5}{21}\right)\) \(e\left(\frac{1}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.122748 + 1.63795i −0.0867957 + 1.15821i 0.768423 + 0.639942i \(0.221042\pi\)
−0.855219 + 0.518267i \(0.826578\pi\)
\(3\) 0.324451 + 1.70139i 0.187322 + 0.982299i
\(4\) −0.690165 0.104026i −0.345082 0.0520128i
\(5\) 0.354390 1.55268i 0.158488 0.694382i −0.831768 0.555123i \(-0.812671\pi\)
0.990256 0.139258i \(-0.0444719\pi\)
\(6\) −2.82663 + 0.322594i −1.15397 + 0.131699i
\(7\) 2.24116 + 1.40613i 0.847079 + 0.531467i
\(8\) −0.475897 + 2.08504i −0.168255 + 0.737173i
\(9\) −2.78946 + 1.10404i −0.929821 + 0.368012i
\(10\) 2.49973 + 0.771063i 0.790483 + 0.243832i
\(11\) 1.86872 0.899929i 0.563441 0.271339i −0.130407 0.991461i \(-0.541628\pi\)
0.693848 + 0.720122i \(0.255914\pi\)
\(12\) −0.0469366 1.20799i −0.0135494 0.348717i
\(13\) −0.129127 + 1.72308i −0.0358134 + 0.477896i 0.950246 + 0.311501i \(0.100832\pi\)
−0.986059 + 0.166395i \(0.946787\pi\)
\(14\) −2.57827 + 3.49832i −0.689072 + 0.934965i
\(15\) 2.75671 + 0.0991858i 0.711779 + 0.0256097i
\(16\) −4.69069 1.44689i −1.17267 0.361721i
\(17\) −3.41500 + 0.514728i −0.828259 + 0.124840i −0.549471 0.835513i \(-0.685171\pi\)
−0.278788 + 0.960353i \(0.589933\pi\)
\(18\) −1.46596 4.70453i −0.345530 1.10887i
\(19\) 1.13809 + 1.97123i 0.261095 + 0.452231i 0.966533 0.256541i \(-0.0825829\pi\)
−0.705438 + 0.708772i \(0.749250\pi\)
\(20\) −0.406106 + 1.03474i −0.0908082 + 0.231375i
\(21\) −1.66523 + 4.26931i −0.363382 + 0.931640i
\(22\) 1.24466 + 3.17135i 0.265363 + 0.676133i
\(23\) −0.552405 + 0.692694i −0.115184 + 0.144437i −0.836081 0.548606i \(-0.815159\pi\)
0.720897 + 0.693043i \(0.243730\pi\)
\(24\) −3.70187 0.133193i −0.755642 0.0271879i
\(25\) 2.21961 + 1.06891i 0.443921 + 0.213781i
\(26\) −2.80647 0.423008i −0.550395 0.0829587i
\(27\) −2.78344 4.38776i −0.535674 0.844425i
\(28\) −1.40050 1.20360i −0.264669 0.227459i
\(29\) 0.740080 1.88569i 0.137429 0.350164i −0.845546 0.533903i \(-0.820725\pi\)
0.982975 + 0.183739i \(0.0588200\pi\)
\(30\) −0.500841 + 4.50318i −0.0914407 + 0.822165i
\(31\) 0.776379 + 1.34473i 0.139442 + 0.241520i 0.927285 0.374355i \(-0.122136\pi\)
−0.787844 + 0.615875i \(0.788803\pi\)
\(32\) 1.38302 3.52388i 0.244486 0.622940i
\(33\) 2.13744 + 2.88744i 0.372081 + 0.502639i
\(34\) −0.423918 5.65679i −0.0727013 0.970132i
\(35\) 2.97752 2.98150i 0.503293 0.503965i
\(36\) 2.04004 0.471792i 0.340006 0.0786319i
\(37\) 0.883157 2.25025i 0.145190 0.369938i −0.839717 0.543025i \(-0.817279\pi\)
0.984907 + 0.173087i \(0.0553741\pi\)
\(38\) −3.36848 + 1.62217i −0.546439 + 0.263151i
\(39\) −2.97353 + 0.339360i −0.476145 + 0.0543411i
\(40\) 3.06876 + 1.47784i 0.485213 + 0.233666i
\(41\) −7.62226 7.07243i −1.19040 1.10453i −0.992237 0.124358i \(-0.960313\pi\)
−0.198160 0.980170i \(-0.563497\pi\)
\(42\) −6.78853 3.25161i −1.04749 0.501735i
\(43\) 6.98388 6.48009i 1.06503 0.988205i 0.0650781 0.997880i \(-0.479270\pi\)
0.999953 + 0.00967557i \(0.00307988\pi\)
\(44\) −1.38334 + 0.426704i −0.208547 + 0.0643281i
\(45\) 0.725663 + 4.72242i 0.108175 + 0.703976i
\(46\) −1.06679 0.989841i −0.157290 0.145944i
\(47\) 0.861749 11.4992i 0.125699 1.67734i −0.476641 0.879098i \(-0.658146\pi\)
0.602341 0.798239i \(-0.294235\pi\)
\(48\) 0.939819 8.45014i 0.135651 1.21967i
\(49\) 3.04561 + 6.30272i 0.435086 + 0.900389i
\(50\) −2.02327 + 3.50441i −0.286134 + 0.495598i
\(51\) −1.98375 5.64324i −0.277781 0.790212i
\(52\) 0.268363 1.17578i 0.0372153 0.163051i
\(53\) 1.74985 + 4.45854i 0.240360 + 0.612428i 0.999247 0.0387945i \(-0.0123518\pi\)
−0.758887 + 0.651222i \(0.774257\pi\)
\(54\) 7.52861 4.02056i 1.02451 0.547129i
\(55\) −0.735050 3.22046i −0.0991141 0.434247i
\(56\) −3.99840 + 4.00374i −0.534308 + 0.535022i
\(57\) −2.98457 + 2.57590i −0.395316 + 0.341186i
\(58\) 2.99783 + 1.44368i 0.393635 + 0.189565i
\(59\) 1.23786 1.14857i 0.161156 0.149531i −0.595473 0.803375i \(-0.703035\pi\)
0.756629 + 0.653844i \(0.226845\pi\)
\(60\) −1.89226 0.355222i −0.244290 0.0458590i
\(61\) −2.31566 + 0.349029i −0.296489 + 0.0446886i −0.295603 0.955311i \(-0.595520\pi\)
−0.000886907 1.00000i \(0.500282\pi\)
\(62\) −2.29790 + 1.10661i −0.291834 + 0.140540i
\(63\) −7.80405 1.44802i −0.983218 0.182433i
\(64\) −3.24311 1.56180i −0.405388 0.195225i
\(65\) 2.62964 + 0.811136i 0.326166 + 0.100609i
\(66\) −4.99187 + 3.14660i −0.614456 + 0.387320i
\(67\) 5.83254 + 10.1023i 0.712558 + 1.23419i 0.963894 + 0.266287i \(0.0857968\pi\)
−0.251336 + 0.967900i \(0.580870\pi\)
\(68\) 2.41046 0.292311
\(69\) −1.35777 0.715112i −0.163457 0.0860893i
\(70\) 4.51807 + 5.24301i 0.540013 + 0.626660i
\(71\) −1.05296 + 1.32037i −0.124963 + 0.156699i −0.840377 0.542002i \(-0.817667\pi\)
0.715414 + 0.698701i \(0.246238\pi\)
\(72\) −0.974465 6.34155i −0.114842 0.747359i
\(73\) 13.1499 8.96542i 1.53907 1.04932i 0.564452 0.825466i \(-0.309088\pi\)
0.974622 0.223857i \(-0.0718647\pi\)
\(74\) 3.57739 + 1.72278i 0.415864 + 0.200269i
\(75\) −1.09847 + 4.12323i −0.126841 + 0.476109i
\(76\) −0.580410 1.47886i −0.0665776 0.169637i
\(77\) 5.45352 + 0.610777i 0.621487 + 0.0696045i
\(78\) −0.190862 4.91216i −0.0216109 0.556192i
\(79\) −0.697467 + 1.20805i −0.0784711 + 0.135916i −0.902590 0.430500i \(-0.858337\pi\)
0.824119 + 0.566416i \(0.191671\pi\)
\(80\) −3.90889 + 6.77040i −0.437027 + 0.756954i
\(81\) 6.56221 6.15934i 0.729134 0.684371i
\(82\) 12.5199 11.6168i 1.38259 1.28286i
\(83\) 0.451500 + 6.02485i 0.0495585 + 0.661313i 0.965567 + 0.260154i \(0.0837734\pi\)
−0.916009 + 0.401159i \(0.868608\pi\)
\(84\) 1.59340 2.77330i 0.173854 0.302592i
\(85\) −0.411031 + 5.48483i −0.0445826 + 0.594913i
\(86\) 9.75684 + 12.2347i 1.05211 + 1.31930i
\(87\) 3.44842 + 0.647350i 0.369709 + 0.0694032i
\(88\) 0.987070 + 4.32464i 0.105222 + 0.461008i
\(89\) 0.761365 + 10.1597i 0.0807046 + 1.07693i 0.879681 + 0.475565i \(0.157756\pi\)
−0.798976 + 0.601363i \(0.794625\pi\)
\(90\) −7.82417 + 0.608937i −0.824740 + 0.0641876i
\(91\) −2.71227 + 3.68013i −0.284323 + 0.385782i
\(92\) 0.453308 0.420609i 0.0472607 0.0438515i
\(93\) −2.03601 + 1.75722i −0.211124 + 0.182216i
\(94\) 18.7295 + 2.82301i 1.93180 + 0.291171i
\(95\) 3.46402 1.06851i 0.355401 0.109627i
\(96\) 6.44423 + 1.20973i 0.657711 + 0.123468i
\(97\) −1.75982 3.04809i −0.178682 0.309487i 0.762747 0.646697i \(-0.223850\pi\)
−0.941429 + 0.337210i \(0.890517\pi\)
\(98\) −10.6974 + 4.21492i −1.08060 + 0.425771i
\(99\) −4.21918 + 4.57346i −0.424043 + 0.459650i
\(100\) −1.42070 0.968617i −0.142070 0.0968617i
\(101\) −2.39827 + 10.5075i −0.238637 + 1.04554i 0.703602 + 0.710595i \(0.251574\pi\)
−0.942239 + 0.334942i \(0.891283\pi\)
\(102\) 9.48687 2.55660i 0.939341 0.253141i
\(103\) 1.97995 8.67471i 0.195090 0.854745i −0.778718 0.627374i \(-0.784130\pi\)
0.973808 0.227371i \(-0.0730130\pi\)
\(104\) −3.53124 1.08924i −0.346267 0.106809i
\(105\) 6.03876 + 4.09857i 0.589322 + 0.399980i
\(106\) −7.51768 + 2.31890i −0.730181 + 0.225231i
\(107\) 0.247348 + 3.30062i 0.0239120 + 0.319083i 0.996315 + 0.0857742i \(0.0273364\pi\)
−0.972403 + 0.233309i \(0.925045\pi\)
\(108\) 1.46459 + 3.31783i 0.140931 + 0.319258i
\(109\) −0.542035 + 7.23295i −0.0519175 + 0.692791i 0.909148 + 0.416472i \(0.136734\pi\)
−0.961066 + 0.276319i \(0.910885\pi\)
\(110\) 5.36520 0.808673i 0.511551 0.0771040i
\(111\) 4.11509 + 0.772500i 0.390587 + 0.0733224i
\(112\) −8.47808 9.83842i −0.801103 0.929643i
\(113\) 12.1801 8.30426i 1.14581 0.781199i 0.166996 0.985958i \(-0.446593\pi\)
0.978813 + 0.204759i \(0.0656409\pi\)
\(114\) −3.85286 5.20478i −0.360853 0.487472i
\(115\) 0.879769 + 1.10320i 0.0820389 + 0.102873i
\(116\) −0.706937 + 1.22445i −0.0656374 + 0.113687i
\(117\) −1.54215 4.94903i −0.142572 0.457538i
\(118\) 1.72936 + 2.16854i 0.159200 + 0.199631i
\(119\) −8.37734 3.64834i −0.767949 0.334443i
\(120\) −1.51871 + 5.70064i −0.138639 + 0.520395i
\(121\) −4.17614 + 5.23671i −0.379649 + 0.476065i
\(122\) −0.287452 3.83578i −0.0260247 0.347275i
\(123\) 9.55991 15.2631i 0.861988 1.37623i
\(124\) −0.395943 1.00885i −0.0355567 0.0905971i
\(125\) 7.41118 9.29332i 0.662876 0.831220i
\(126\) 3.32972 12.6049i 0.296635 1.12294i
\(127\) −12.1103 15.1859i −1.07462 1.34753i −0.933923 0.357474i \(-0.883638\pi\)
−0.140694 0.990053i \(-0.544933\pi\)
\(128\) 6.74180 11.6771i 0.595897 1.03212i
\(129\) 13.2911 + 9.77983i 1.17022 + 0.861066i
\(130\) −1.65139 + 4.20766i −0.144836 + 0.369036i
\(131\) −3.05811 13.3984i −0.267188 1.17063i −0.913269 0.407358i \(-0.866450\pi\)
0.646081 0.763269i \(-0.276407\pi\)
\(132\) −1.17482 2.21516i −0.102255 0.192805i
\(133\) −0.221159 + 6.01814i −0.0191769 + 0.521839i
\(134\) −17.2630 + 8.31340i −1.49129 + 0.718169i
\(135\) −7.79924 + 2.76683i −0.671251 + 0.238131i
\(136\) 0.551958 7.36537i 0.0473300 0.631575i
\(137\) 3.54897 + 15.5491i 0.303209 + 1.32845i 0.865252 + 0.501337i \(0.167158\pi\)
−0.562043 + 0.827108i \(0.689985\pi\)
\(138\) 1.33798 2.13619i 0.113897 0.181845i
\(139\) −14.0179 13.0067i −1.18898 1.10322i −0.992441 0.122720i \(-0.960838\pi\)
−0.196542 0.980495i \(-0.562971\pi\)
\(140\) −2.36513 + 1.74799i −0.199890 + 0.147732i
\(141\) 19.8443 2.26477i 1.67119 0.190728i
\(142\) −2.03345 1.88677i −0.170644 0.158334i
\(143\) 1.30935 + 3.33616i 0.109493 + 0.278984i
\(144\) 14.6819 1.14266i 1.22349 0.0952216i
\(145\) −2.66561 1.81738i −0.221367 0.150925i
\(146\) 13.0708 + 22.6393i 1.08175 + 1.87364i
\(147\) −9.73524 + 7.22669i −0.802949 + 0.596047i
\(148\) −0.843607 + 1.46117i −0.0693440 + 0.120107i
\(149\) 11.8198 5.69211i 0.968315 0.466316i 0.118245 0.992985i \(-0.462273\pi\)
0.850071 + 0.526668i \(0.176559\pi\)
\(150\) −6.61882 2.30536i −0.540424 0.188232i
\(151\) −1.28629 + 1.61295i −0.104677 + 0.131260i −0.831410 0.555659i \(-0.812466\pi\)
0.726734 + 0.686919i \(0.241037\pi\)
\(152\) −4.65170 + 1.43486i −0.377303 + 0.116383i
\(153\) 8.95773 5.20610i 0.724190 0.420888i
\(154\) −1.66983 + 8.85765i −0.134559 + 0.713770i
\(155\) 2.36308 0.728914i 0.189807 0.0585477i
\(156\) 2.08753 + 0.0751088i 0.167136 + 0.00601351i
\(157\) 2.91553 2.70522i 0.232685 0.215900i −0.555209 0.831711i \(-0.687362\pi\)
0.787894 + 0.615811i \(0.211171\pi\)
\(158\) −1.89311 1.29070i −0.150608 0.102683i
\(159\) −7.01798 + 4.42376i −0.556562 + 0.350827i
\(160\) −4.98135 3.39623i −0.393810 0.268495i
\(161\) −2.21205 + 0.775687i −0.174334 + 0.0611327i
\(162\) 9.28322 + 11.5046i 0.729359 + 0.903890i
\(163\) −2.88215 + 2.67424i −0.225747 + 0.209463i −0.784935 0.619578i \(-0.787304\pi\)
0.559187 + 0.829041i \(0.311113\pi\)
\(164\) 4.52490 + 5.67405i 0.353336 + 0.443069i
\(165\) 5.24078 2.29549i 0.407994 0.178704i
\(166\) −9.92384 −0.770240
\(167\) 5.47222 0.824805i 0.423453 0.0638253i 0.0661409 0.997810i \(-0.478931\pi\)
0.357312 + 0.933985i \(0.383693\pi\)
\(168\) −8.10921 5.50382i −0.625639 0.424629i
\(169\) 9.90247 + 1.49256i 0.761729 + 0.114812i
\(170\) −8.93345 1.34650i −0.685164 0.103272i
\(171\) −5.35096 4.24217i −0.409198 0.324407i
\(172\) −5.49412 + 3.74583i −0.418923 + 0.285617i
\(173\) −5.61701 14.3119i −0.427054 1.08811i −0.968860 0.247611i \(-0.920354\pi\)
0.541806 0.840504i \(-0.317741\pi\)
\(174\) −1.48361 + 5.56889i −0.112473 + 0.422177i
\(175\) 3.47148 + 5.51664i 0.262419 + 0.417019i
\(176\) −10.0677 + 1.51746i −0.758881 + 0.114383i
\(177\) 2.35579 + 1.73343i 0.177072 + 0.130293i
\(178\) −16.7346 −1.25431
\(179\) 3.82656 0.576762i 0.286011 0.0431092i −0.00447001 0.999990i \(-0.501423\pi\)
0.290481 + 0.956881i \(0.406185\pi\)
\(180\) −0.00957477 3.33473i −0.000713661 0.248556i
\(181\) −13.6730 6.58459i −1.01631 0.489429i −0.149867 0.988706i \(-0.547885\pi\)
−0.866442 + 0.499277i \(0.833599\pi\)
\(182\) −5.69496 4.89429i −0.422138 0.362789i
\(183\) −1.34515 3.82659i −0.0994365 0.282870i
\(184\) −1.18141 1.48144i −0.0870945 0.109213i
\(185\) −3.18094 2.16873i −0.233867 0.159448i
\(186\) −2.62833 3.55059i −0.192719 0.260342i
\(187\) −5.91846 + 4.03514i −0.432801 + 0.295079i
\(188\) −1.79096 + 7.84673i −0.130619 + 0.572281i
\(189\) −0.0683881 13.7476i −0.00497450 0.999988i
\(190\) 1.32497 + 5.80507i 0.0961233 + 0.421144i
\(191\) 12.9440 + 12.0102i 0.936593 + 0.869031i 0.991585 0.129456i \(-0.0413230\pi\)
−0.0549924 + 0.998487i \(0.517513\pi\)
\(192\) 1.60500 6.02452i 0.115831 0.434782i
\(193\) 11.6088 3.58085i 0.835622 0.257755i 0.152724 0.988269i \(-0.451195\pi\)
0.682898 + 0.730514i \(0.260719\pi\)
\(194\) 5.20865 2.50835i 0.373959 0.180089i
\(195\) −0.526870 + 4.73722i −0.0377300 + 0.339239i
\(196\) −1.44632 4.66674i −0.103309 0.333338i
\(197\) 1.99382 0.142054 0.0710270 0.997474i \(-0.477372\pi\)
0.0710270 + 0.997474i \(0.477372\pi\)
\(198\) −6.97322 7.47220i −0.495565 0.531026i
\(199\) 1.26856 + 1.17705i 0.0899258 + 0.0834389i 0.723855 0.689952i \(-0.242368\pi\)
−0.633929 + 0.773391i \(0.718559\pi\)
\(200\) −3.28502 + 4.11928i −0.232286 + 0.291277i
\(201\) −15.2955 + 13.2011i −1.07886 + 0.931135i
\(202\) −16.9164 5.21803i −1.19024 0.367140i
\(203\) 4.31016 3.18549i 0.302514 0.223578i
\(204\) 0.782075 + 4.10113i 0.0547562 + 0.287136i
\(205\) −13.6825 + 9.32857i −0.955628 + 0.651536i
\(206\) 13.9657 + 4.30786i 0.973039 + 0.300143i
\(207\) 0.776154 2.54212i 0.0539464 0.176690i
\(208\) 3.09879 7.89560i 0.214863 0.547461i
\(209\) 3.90074 + 2.65948i 0.269820 + 0.183960i
\(210\) −7.45452 + 9.38811i −0.514411 + 0.647841i
\(211\) −21.7907 + 14.8566i −1.50013 + 1.02277i −0.513815 + 0.857901i \(0.671768\pi\)
−0.986315 + 0.164871i \(0.947279\pi\)
\(212\) −0.743881 3.25916i −0.0510900 0.223840i
\(213\) −2.58809 1.36310i −0.177333 0.0933979i
\(214\) −5.43663 −0.371641
\(215\) −7.58652 13.1402i −0.517397 0.896157i
\(216\) 10.4733 3.71547i 0.712617 0.252806i
\(217\) −0.150870 + 4.10544i −0.0102417 + 0.278695i
\(218\) −11.7807 1.77566i −0.797891 0.120263i
\(219\) 19.5202 + 19.4642i 1.31905 + 1.31527i
\(220\) 0.172295 + 2.29911i 0.0116161 + 0.155006i
\(221\) −0.445949 5.95078i −0.0299978 0.400293i
\(222\) −1.77044 + 6.64551i −0.118824 + 0.446017i
\(223\) 16.1240 + 2.43030i 1.07974 + 0.162745i 0.664740 0.747075i \(-0.268542\pi\)
0.415004 + 0.909820i \(0.363780\pi\)
\(224\) 8.05461 5.95288i 0.538171 0.397744i
\(225\) −7.37162 0.531147i −0.491441 0.0354098i
\(226\) 12.1069 + 20.9698i 0.805340 + 1.39489i
\(227\) −21.0762 −1.39887 −0.699437 0.714695i \(-0.746566\pi\)
−0.699437 + 0.714695i \(0.746566\pi\)
\(228\) 2.32781 1.46732i 0.154163 0.0971759i
\(229\) −5.69016 24.9302i −0.376016 1.64744i −0.709519 0.704686i \(-0.751088\pi\)
0.333503 0.942749i \(-0.391769\pi\)
\(230\) −1.91497 + 1.30561i −0.126270 + 0.0860891i
\(231\) 0.730231 + 9.47674i 0.0480457 + 0.623524i
\(232\) 3.57954 + 2.44049i 0.235009 + 0.160226i
\(233\) 1.33340 3.39745i 0.0873540 0.222574i −0.880521 0.474008i \(-0.842807\pi\)
0.967875 + 0.251434i \(0.0809020\pi\)
\(234\) 8.29557 1.91849i 0.542299 0.125415i
\(235\) −17.5493 5.41324i −1.14479 0.353121i
\(236\) −0.973809 + 0.663932i −0.0633896 + 0.0432183i
\(237\) −2.28166 0.794711i −0.148209 0.0516220i
\(238\) 7.00411 13.2739i 0.454009 0.860417i
\(239\) −23.8385 7.35321i −1.54198 0.475639i −0.596859 0.802346i \(-0.703585\pi\)
−0.945126 + 0.326707i \(0.894061\pi\)
\(240\) −12.7873 4.45389i −0.825419 0.287497i
\(241\) −0.930038 + 1.16623i −0.0599090 + 0.0751235i −0.810883 0.585208i \(-0.801013\pi\)
0.750974 + 0.660332i \(0.229584\pi\)
\(242\) −8.06488 7.48312i −0.518430 0.481033i
\(243\) 12.6086 + 9.16647i 0.808839 + 0.588029i
\(244\) 1.63449 0.104638
\(245\) 10.8655 2.49524i 0.694170 0.159415i
\(246\) 23.8268 + 17.5322i 1.51914 + 1.11781i
\(247\) −3.54354 + 1.70648i −0.225470 + 0.108581i
\(248\) −3.17329 + 0.978830i −0.201504 + 0.0621558i
\(249\) −10.1041 + 2.72295i −0.640323 + 0.172560i
\(250\) 14.3123 + 13.2799i 0.905191 + 0.839895i
\(251\) −1.34069 5.87393i −0.0846234 0.370759i 0.914829 0.403841i \(-0.132325\pi\)
−0.999453 + 0.0330816i \(0.989468\pi\)
\(252\) 5.23545 + 1.81119i 0.329802 + 0.114094i
\(253\) −0.408916 + 1.79158i −0.0257083 + 0.112636i
\(254\) 26.3603 17.9721i 1.65399 1.12767i
\(255\) −9.46520 + 1.08024i −0.592734 + 0.0676470i
\(256\) 12.3509 + 8.42068i 0.771929 + 0.526292i
\(257\) −13.1555 16.4965i −0.820618 1.02902i −0.998984 0.0450586i \(-0.985653\pi\)
0.178366 0.983964i \(-0.442919\pi\)
\(258\) −17.6504 + 20.5698i −1.09886 + 1.28062i
\(259\) 5.14343 3.80133i 0.319597 0.236203i
\(260\) −1.73050 0.833367i −0.107321 0.0516832i
\(261\) 0.0174489 + 6.07714i 0.00108006 + 0.376166i
\(262\) 22.3214 3.36441i 1.37902 0.207854i
\(263\) −6.44612 −0.397485 −0.198742 0.980052i \(-0.563686\pi\)
−0.198742 + 0.980052i \(0.563686\pi\)
\(264\) −7.03764 + 3.08252i −0.433137 + 0.189716i
\(265\) 7.54284 1.13690i 0.463353 0.0698392i
\(266\) −9.83028 1.10096i −0.602733 0.0675042i
\(267\) −17.0386 + 4.59171i −1.04275 + 0.281008i
\(268\) −2.97452 7.57895i −0.181698 0.462958i
\(269\) −7.58786 + 5.17331i −0.462640 + 0.315423i −0.772113 0.635486i \(-0.780800\pi\)
0.309473 + 0.950908i \(0.399847\pi\)
\(270\) −3.57460 13.1144i −0.217543 0.798118i
\(271\) 2.27375 + 0.342713i 0.138120 + 0.0208183i 0.217739 0.976007i \(-0.430132\pi\)
−0.0796181 + 0.996825i \(0.525370\pi\)
\(272\) 16.7634 + 2.52668i 1.01643 + 0.153203i
\(273\) −7.14134 3.42060i −0.432213 0.207024i
\(274\) −25.9043 + 3.90444i −1.56493 + 0.235876i
\(275\) 5.10977 0.308131
\(276\) 0.862696 + 0.634788i 0.0519282 + 0.0382097i
\(277\) −13.9854 17.5371i −0.840300 1.05370i −0.997807 0.0661848i \(-0.978917\pi\)
0.157508 0.987518i \(-0.449654\pi\)
\(278\) 23.0251 21.3641i 1.38095 1.28134i
\(279\) −3.65031 2.89392i −0.218538 0.173254i
\(280\) 4.79955 + 7.62714i 0.286828 + 0.455809i
\(281\) −7.22660 4.92701i −0.431103 0.293921i 0.328261 0.944587i \(-0.393537\pi\)
−0.759364 + 0.650666i \(0.774490\pi\)
\(282\) 1.27375 + 32.7821i 0.0758506 + 1.95214i
\(283\) −1.71445 1.16889i −0.101913 0.0694834i 0.511291 0.859408i \(-0.329167\pi\)
−0.613204 + 0.789924i \(0.710120\pi\)
\(284\) 0.864066 0.801736i 0.0512729 0.0475743i
\(285\) 2.94186 + 5.54698i 0.174261 + 0.328575i
\(286\) −5.62520 + 1.73514i −0.332625 + 0.102601i
\(287\) −7.13798 26.5683i −0.421342 1.56828i
\(288\) 0.0326075 + 11.3566i 0.00192142 + 0.669197i
\(289\) −4.84747 + 1.49525i −0.285145 + 0.0879556i
\(290\) 3.30398 4.14307i 0.194017 0.243289i
\(291\) 4.61502 3.98310i 0.270537 0.233493i
\(292\) −10.0082 + 4.81969i −0.585685 + 0.282051i
\(293\) −10.3480 + 17.9232i −0.604535 + 1.04709i 0.387590 + 0.921832i \(0.373308\pi\)
−0.992125 + 0.125253i \(0.960026\pi\)
\(294\) −10.6420 16.8329i −0.620655 0.981717i
\(295\) −1.34468 2.32905i −0.0782902 0.135603i
\(296\) 4.27156 + 2.91230i 0.248280 + 0.169274i
\(297\) −9.15016 5.69460i −0.530946 0.330434i
\(298\) 7.87257 + 20.0590i 0.456046 + 1.16199i
\(299\) −1.12224 1.04128i −0.0649006 0.0602190i
\(300\) 1.18705 2.73143i 0.0685343 0.157699i
\(301\) 24.7638 4.70270i 1.42736 0.271059i
\(302\) −2.48405 2.30487i −0.142941 0.132630i
\(303\) −18.6555 0.671222i −1.07173 0.0385607i
\(304\) −2.48628 10.8931i −0.142598 0.624762i
\(305\) −0.278714 + 3.71918i −0.0159591 + 0.212960i
\(306\) 7.42781 + 15.3114i 0.424620 + 0.875294i
\(307\) −3.19130 + 1.53685i −0.182137 + 0.0877127i −0.522730 0.852498i \(-0.675086\pi\)
0.340593 + 0.940211i \(0.389372\pi\)
\(308\) −3.70029 0.988843i −0.210844 0.0563445i
\(309\) 15.4015 + 0.554142i 0.876159 + 0.0315240i
\(310\) 0.903864 + 3.96009i 0.0513360 + 0.224918i
\(311\) −6.11337 + 15.5766i −0.346657 + 0.883269i 0.646113 + 0.763242i \(0.276393\pi\)
−0.992771 + 0.120027i \(0.961702\pi\)
\(312\) 0.707514 6.36143i 0.0400551 0.360145i
\(313\) −15.5360 + 26.9091i −0.878144 + 1.52099i −0.0247695 + 0.999693i \(0.507885\pi\)
−0.853375 + 0.521298i \(0.825448\pi\)
\(314\) 4.07315 + 5.10756i 0.229861 + 0.288237i
\(315\) −5.01400 + 11.6041i −0.282507 + 0.653815i
\(316\) 0.607035 0.761197i 0.0341484 0.0428207i
\(317\) 10.3047 + 26.2559i 0.578769 + 1.47468i 0.857588 + 0.514337i \(0.171962\pi\)
−0.278819 + 0.960344i \(0.589943\pi\)
\(318\) −6.38447 12.0381i −0.358023 0.675065i
\(319\) −0.313986 4.18985i −0.0175798 0.234587i
\(320\) −3.57430 + 4.48204i −0.199810 + 0.250553i
\(321\) −5.53540 + 1.49173i −0.308956 + 0.0832601i
\(322\) −0.999015 3.71844i −0.0556729 0.207221i
\(323\) −4.90122 6.14593i −0.272711 0.341969i
\(324\) −5.16973 + 3.56832i −0.287207 + 0.198240i
\(325\) −2.12842 + 3.68653i −0.118064 + 0.204492i
\(326\) −4.02651 5.04909i −0.223008 0.279643i
\(327\) −12.4819 + 1.42453i −0.690253 + 0.0787765i
\(328\) 18.3737 12.5270i 1.01452 0.691687i
\(329\) 18.1007 24.5599i 0.997926 1.35403i
\(330\) 3.11661 + 8.86592i 0.171564 + 0.488053i
\(331\) −7.82676 + 1.17969i −0.430197 + 0.0648418i −0.360572 0.932731i \(-0.617418\pi\)
−0.0696254 + 0.997573i \(0.522180\pi\)
\(332\) 0.315129 4.20510i 0.0172949 0.230785i
\(333\) 0.0208222 + 7.25202i 0.00114105 + 0.397408i
\(334\) 0.679289 + 9.06449i 0.0371691 + 0.495987i
\(335\) 17.7526 5.47596i 0.969929 0.299183i
\(336\) 13.9883 17.6166i 0.763123 0.961065i
\(337\) −3.84683 1.18659i −0.209550 0.0646376i 0.188203 0.982130i \(-0.439734\pi\)
−0.397753 + 0.917493i \(0.630210\pi\)
\(338\) −3.66025 + 16.0366i −0.199091 + 0.872275i
\(339\) 18.0806 + 18.0288i 0.982006 + 0.979190i
\(340\) 0.854242 3.74268i 0.0463278 0.202975i
\(341\) 2.66100 + 1.81424i 0.144101 + 0.0982464i
\(342\) 7.60530 8.24391i 0.411248 0.445780i
\(343\) −2.03674 + 18.4079i −0.109974 + 0.993934i
\(344\) 10.1876 + 17.6455i 0.549281 + 0.951383i
\(345\) −1.59152 + 1.85476i −0.0856848 + 0.0998571i
\(346\) 24.1317 7.44365i 1.29733 0.400173i
\(347\) 20.0638 + 3.02413i 1.07708 + 0.162344i 0.663540 0.748141i \(-0.269053\pi\)
0.413542 + 0.910485i \(0.364291\pi\)
\(348\) −2.31264 0.805502i −0.123970 0.0431794i
\(349\) 15.5371 14.4164i 0.831684 0.771690i −0.144300 0.989534i \(-0.546093\pi\)
0.975984 + 0.217844i \(0.0699025\pi\)
\(350\) −9.46212 + 5.00896i −0.505772 + 0.267740i
\(351\) 7.91988 4.22952i 0.422732 0.225755i
\(352\) −0.586761 7.82978i −0.0312745 0.417329i
\(353\) −1.45475 6.37367i −0.0774284 0.339236i 0.921345 0.388745i \(-0.127091\pi\)
−0.998774 + 0.0495092i \(0.984234\pi\)
\(354\) −3.12845 + 3.64590i −0.166275 + 0.193777i
\(355\) 1.67696 + 2.10284i 0.0890036 + 0.111607i
\(356\) 0.531403 7.09108i 0.0281643 0.375826i
\(357\) 3.48921 15.4368i 0.184669 0.817004i
\(358\) 0.475007 + 6.33853i 0.0251049 + 0.335002i
\(359\) 20.1751 18.7197i 1.06480 0.987991i 0.0648496 0.997895i \(-0.479343\pi\)
0.999951 + 0.00990451i \(0.00315275\pi\)
\(360\) −10.1918 0.734347i −0.537154 0.0387035i
\(361\) 6.90951 11.9676i 0.363658 0.629875i
\(362\) 12.4636 21.5876i 0.655072 1.13462i
\(363\) −10.2646 5.40619i −0.538754 0.283751i
\(364\) 2.25474 2.25775i 0.118180 0.118338i
\(365\) −9.26029 23.5948i −0.484706 1.23501i
\(366\) 6.43290 1.73359i 0.336253 0.0906163i
\(367\) −13.6155 6.55686i −0.710721 0.342265i 0.0433484 0.999060i \(-0.486197\pi\)
−0.754069 + 0.656795i \(0.771912\pi\)
\(368\) 3.59341 2.44995i 0.187319 0.127712i
\(369\) 29.0702 + 11.3130i 1.51334 + 0.588932i
\(370\) 3.94273 4.94403i 0.204973 0.257028i
\(371\) −2.34759 + 12.4528i −0.121881 + 0.646518i
\(372\) 1.58798 1.00098i 0.0823329 0.0518982i
\(373\) 13.6113 0.704764 0.352382 0.935856i \(-0.385372\pi\)
0.352382 + 0.935856i \(0.385372\pi\)
\(374\) −5.88290 10.1895i −0.304197 0.526885i
\(375\) 18.2161 + 9.59408i 0.940677 + 0.495436i
\(376\) 23.5663 + 7.26924i 1.21534 + 0.374882i
\(377\) 3.15363 + 1.51871i 0.162420 + 0.0782175i
\(378\) 22.5263 + 1.57546i 1.15863 + 0.0810331i
\(379\) −14.4483 + 6.95793i −0.742158 + 0.357405i −0.766453 0.642300i \(-0.777980\pi\)
0.0242948 + 0.999705i \(0.492266\pi\)
\(380\) −2.50190 + 0.377100i −0.128345 + 0.0193448i
\(381\) 21.9079 25.5315i 1.12237 1.30802i
\(382\) −21.2611 + 19.7274i −1.08781 + 1.00934i
\(383\) 33.9115 + 16.3309i 1.73280 + 0.834471i 0.985435 + 0.170052i \(0.0543937\pi\)
0.747361 + 0.664418i \(0.231321\pi\)
\(384\) 22.0548 + 7.68178i 1.12548 + 0.392009i
\(385\) 2.88102 8.25115i 0.146830 0.420518i
\(386\) 4.44031 + 19.4543i 0.226006 + 0.990197i
\(387\) −12.3270 + 25.7864i −0.626617 + 1.31080i
\(388\) 0.897484 + 2.28675i 0.0455628 + 0.116092i
\(389\) 1.04753 4.58954i 0.0531120 0.232699i −0.941404 0.337280i \(-0.890493\pi\)
0.994516 + 0.104581i \(0.0333502\pi\)
\(390\) −7.69467 1.44447i −0.389635 0.0731437i
\(391\) 1.52991 2.64989i 0.0773711 0.134011i
\(392\) −14.5908 + 3.35077i −0.736948 + 0.169239i
\(393\) 21.8038 9.55017i 1.09985 0.481743i
\(394\) −0.244737 + 3.26579i −0.0123297 + 0.164528i
\(395\) 1.62854 + 1.51107i 0.0819409 + 0.0760300i
\(396\) 3.38768 2.71754i 0.170237 0.136561i
\(397\) −36.4107 + 11.2312i −1.82740 + 0.563679i −0.827405 + 0.561606i \(0.810184\pi\)
−0.999998 + 0.00207341i \(0.999340\pi\)
\(398\) −2.08367 + 1.93336i −0.104445 + 0.0969107i
\(399\) −10.3110 + 1.57631i −0.516194 + 0.0789144i
\(400\) −8.86490 8.22542i −0.443245 0.411271i
\(401\) 6.11806 + 2.94630i 0.305521 + 0.147131i 0.580362 0.814358i \(-0.302911\pi\)
−0.274841 + 0.961490i \(0.588625\pi\)
\(402\) −19.7453 26.6737i −0.984808 1.33037i
\(403\) −2.41732 + 1.16412i −0.120416 + 0.0579891i
\(404\) 2.74825 7.00243i 0.136731 0.348384i
\(405\) −7.23793 12.3718i −0.359656 0.614762i
\(406\) 4.68863 + 7.45086i 0.232693 + 0.369780i
\(407\) −0.374688 4.99986i −0.0185726 0.247834i
\(408\) 12.7105 1.45061i 0.629261 0.0718157i
\(409\) −2.22850 + 5.67812i −0.110192 + 0.280765i −0.975324 0.220780i \(-0.929140\pi\)
0.865131 + 0.501545i \(0.167235\pi\)
\(410\) −13.6003 23.5564i −0.671670 1.16337i
\(411\) −25.3035 + 11.0831i −1.24813 + 0.546689i
\(412\) −2.26888 + 5.78101i −0.111780 + 0.284810i
\(413\) 4.38928 0.833533i 0.215982 0.0410155i
\(414\) 4.06860 + 1.58334i 0.199961 + 0.0778171i
\(415\) 9.51470 + 1.43411i 0.467058 + 0.0703977i
\(416\) 5.89335 + 2.83809i 0.288945 + 0.139149i
\(417\) 17.5814 28.0700i 0.860964 1.37459i
\(418\) −4.83491 + 6.06278i −0.236483 + 0.296540i
\(419\) 6.92022 + 17.6324i 0.338075 + 0.861401i 0.994279 + 0.106817i \(0.0340660\pi\)
−0.656204 + 0.754584i \(0.727839\pi\)
\(420\) −3.74138 3.45688i −0.182561 0.168678i
\(421\) 10.5312 26.8332i 0.513261 1.30777i −0.405911 0.913913i \(-0.633046\pi\)
0.919172 0.393856i \(-0.128859\pi\)
\(422\) −21.6597 37.5157i −1.05438 1.82624i
\(423\) 10.2918 + 33.0281i 0.500403 + 1.60588i
\(424\) −10.1290 + 1.52670i −0.491907 + 0.0741431i
\(425\) −8.13015 2.50782i −0.394370 0.121647i
\(426\) 2.55037 4.07186i 0.123566 0.197282i
\(427\) −5.68054 2.47388i −0.274901 0.119719i
\(428\) 0.172639 2.30370i 0.00834481 0.111354i
\(429\) −5.25130 + 3.31013i −0.253535 + 0.159815i
\(430\) 22.4543 10.8134i 1.08284 0.521470i
\(431\) −38.2588 11.8013i −1.84286 0.568447i −0.999517 0.0310723i \(-0.990108\pi\)
−0.843343 0.537375i \(-0.819416\pi\)
\(432\) 6.70768 + 24.6089i 0.322723 + 1.18400i
\(433\) −8.73940 + 38.2898i −0.419989 + 1.84009i 0.112497 + 0.993652i \(0.464115\pi\)
−0.532486 + 0.846439i \(0.678742\pi\)
\(434\) −6.70600 0.751051i −0.321898 0.0360516i
\(435\) 2.22722 5.12489i 0.106787 0.245720i
\(436\) 1.12651 4.93554i 0.0539498 0.236370i
\(437\) −1.99414 0.300569i −0.0953928 0.0143782i
\(438\) −34.2775 + 29.5839i −1.63784 + 1.41358i
\(439\) −0.643959 + 8.59304i −0.0307345 + 0.410123i 0.960525 + 0.278195i \(0.0897360\pi\)
−0.991259 + 0.131929i \(0.957883\pi\)
\(440\) 7.06460 0.336792
\(441\) −15.4540 14.2187i −0.735907 0.677083i
\(442\) 9.80184 0.466226
\(443\) 2.16302 28.8636i 0.102768 1.37135i −0.672678 0.739935i \(-0.734856\pi\)
0.775446 0.631413i \(-0.217525\pi\)
\(444\) −2.75973 0.961226i −0.130971 0.0456178i
\(445\) 16.0447 + 2.41834i 0.760590 + 0.114640i
\(446\) −5.95991 + 26.1121i −0.282210 + 1.23644i
\(447\) 13.5195 + 18.2633i 0.639448 + 0.863824i
\(448\) −5.07223 8.06046i −0.239641 0.380821i
\(449\) −6.35465 + 27.8415i −0.299894 + 1.31392i 0.570390 + 0.821374i \(0.306792\pi\)
−0.870285 + 0.492549i \(0.836065\pi\)
\(450\) 1.77484 12.0092i 0.0836669 0.566118i
\(451\) −20.6086 6.35690i −0.970420 0.299335i
\(452\) −9.27014 + 4.46426i −0.436031 + 0.209981i
\(453\) −3.16160 1.66515i −0.148545 0.0782357i
\(454\) 2.58705 34.5218i 0.121416 1.62019i
\(455\) 4.75288 + 5.51550i 0.222819 + 0.258570i
\(456\) −3.95051 7.44882i −0.184999 0.348823i
\(457\) −6.17625 1.90512i −0.288913 0.0891178i 0.146911 0.989150i \(-0.453067\pi\)
−0.435824 + 0.900032i \(0.643543\pi\)
\(458\) 41.5330 6.26009i 1.94071 0.292515i
\(459\) 11.7640 + 13.5515i 0.549095 + 0.632529i
\(460\) −0.492425 0.852905i −0.0229594 0.0397669i
\(461\) −7.89609 + 20.1189i −0.367757 + 0.937031i 0.620496 + 0.784209i \(0.286931\pi\)
−0.988254 + 0.152821i \(0.951164\pi\)
\(462\) −15.6121 + 0.0328370i −0.726341 + 0.00152772i
\(463\) 1.13115 + 2.88212i 0.0525690 + 0.133944i 0.954746 0.297422i \(-0.0961270\pi\)
−0.902177 + 0.431366i \(0.858032\pi\)
\(464\) −6.19986 + 7.77438i −0.287821 + 0.360917i
\(465\) 2.00687 + 3.78403i 0.0930664 + 0.175480i
\(466\) 5.40120 + 2.60108i 0.250206 + 0.120493i
\(467\) −12.9866 1.95742i −0.600950 0.0905787i −0.158480 0.987362i \(-0.550659\pi\)
−0.442470 + 0.896783i \(0.645898\pi\)
\(468\) 0.549511 + 3.57607i 0.0254011 + 0.165304i
\(469\) −1.13341 + 30.8421i −0.0523359 + 1.42415i
\(470\) 11.0208 28.0805i 0.508351 1.29526i
\(471\) 5.54858 + 4.08275i 0.255665 + 0.188123i
\(472\) 1.80572 + 3.12759i 0.0831148 + 0.143959i
\(473\) 7.21930 18.3945i 0.331944 0.845779i
\(474\) 1.58177 3.63970i 0.0726530 0.167177i
\(475\) 0.419052 + 5.59186i 0.0192274 + 0.256572i
\(476\) 5.40222 + 3.38941i 0.247610 + 0.155353i
\(477\) −9.80353 10.5050i −0.448873 0.480993i
\(478\) 14.9703 38.1438i 0.684727 1.74466i
\(479\) 18.0628 8.69857i 0.825309 0.397448i 0.0269554 0.999637i \(-0.491419\pi\)
0.798354 + 0.602189i \(0.205705\pi\)
\(480\) 4.16211 9.57714i 0.189973 0.437134i
\(481\) 3.76331 + 1.81232i 0.171592 + 0.0826345i
\(482\) −1.79607 1.66651i −0.0818089 0.0759075i
\(483\) −2.03745 3.51188i −0.0927070 0.159796i
\(484\) 3.42697 3.17977i 0.155772 0.144535i
\(485\) −5.35639 + 1.65223i −0.243221 + 0.0750238i
\(486\) −16.5619 + 19.5271i −0.751264 + 0.885766i
\(487\) −21.3280 19.7895i −0.966464 0.896748i 0.0282322 0.999601i \(-0.491012\pi\)
−0.994697 + 0.102854i \(0.967203\pi\)
\(488\) 0.374274 4.99434i 0.0169426 0.226083i
\(489\) −5.48505 4.03600i −0.248043 0.182514i
\(490\) 2.75338 + 18.1034i 0.124385 + 0.817830i
\(491\) 8.06201 13.9638i 0.363833 0.630178i −0.624755 0.780821i \(-0.714801\pi\)
0.988588 + 0.150643i \(0.0481345\pi\)
\(492\) −8.18566 + 9.53958i −0.369038 + 0.430077i
\(493\) −1.55675 + 6.82058i −0.0701126 + 0.307183i
\(494\) −2.36017 6.01362i −0.106189 0.270566i
\(495\) 5.60590 + 8.17184i 0.251967 + 0.367297i
\(496\) −1.69608 7.43103i −0.0761564 0.333663i
\(497\) −4.21645 + 1.47856i −0.189134 + 0.0663226i
\(498\) −3.21980 16.8843i −0.144283 0.756605i
\(499\) −34.6863 16.7040i −1.55277 0.747776i −0.556243 0.831020i \(-0.687758\pi\)
−0.996529 + 0.0832439i \(0.973472\pi\)
\(500\) −6.08167 + 5.64297i −0.271981 + 0.252361i
\(501\) 3.17878 + 9.04278i 0.142018 + 0.404002i
\(502\) 9.78579 1.47497i 0.436761 0.0658312i
\(503\) −21.9662 + 10.5784i −0.979424 + 0.471666i −0.853907 0.520426i \(-0.825773\pi\)
−0.125517 + 0.992091i \(0.540059\pi\)
\(504\) 6.73310 15.5827i 0.299916 0.694107i
\(505\) 15.4649 + 7.44752i 0.688181 + 0.331410i
\(506\) −2.88433 0.889698i −0.128224 0.0395519i
\(507\) 0.673445 + 17.3322i 0.0299087 + 0.769752i
\(508\) 6.77840 + 11.7405i 0.300743 + 0.520902i
\(509\) 13.5289 0.599657 0.299828 0.953993i \(-0.403071\pi\)
0.299828 + 0.953993i \(0.403071\pi\)
\(510\) −0.607544 15.6362i −0.0269025 0.692381i
\(511\) 42.0775 1.60256i 1.86140 0.0708932i
\(512\) 1.50506 1.88728i 0.0665148 0.0834070i
\(513\) 5.48147 10.4805i 0.242013 0.462724i
\(514\) 28.6353 19.5232i 1.26305 0.861132i
\(515\) −12.7674 6.14846i −0.562600 0.270934i
\(516\) −8.15569 8.13231i −0.359034 0.358005i
\(517\) −8.73813 22.2644i −0.384303 0.979187i
\(518\) 5.59506 + 8.89131i 0.245833 + 0.390662i
\(519\) 22.5277 14.2003i 0.988857 0.623322i
\(520\) −2.94269 + 5.09689i −0.129045 + 0.223513i
\(521\) −5.61582 + 9.72688i −0.246033 + 0.426142i −0.962422 0.271560i \(-0.912461\pi\)
0.716388 + 0.697702i \(0.245794\pi\)
\(522\) −9.95622 0.717375i −0.435772 0.0313986i
\(523\) 8.75347 8.12203i 0.382763 0.355152i −0.465202 0.885204i \(-0.654018\pi\)
0.847965 + 0.530053i \(0.177828\pi\)
\(524\) 0.716816 + 9.56525i 0.0313143 + 0.417860i
\(525\) −8.25964 + 7.69622i −0.360480 + 0.335891i
\(526\) 0.791246 10.5584i 0.0345000 0.460370i
\(527\) −3.34350 4.19262i −0.145645 0.182633i
\(528\) −5.84827 16.6367i −0.254513 0.724021i
\(529\) 4.94331 + 21.6580i 0.214926 + 0.941654i
\(530\) 0.936324 + 12.4944i 0.0406713 + 0.542721i
\(531\) −2.18491 + 4.57053i −0.0948170 + 0.198344i
\(532\) 0.778676 4.13050i 0.0337599 0.179080i
\(533\) 13.1706 12.2205i 0.570482 0.529330i
\(534\) −5.42956 28.4721i −0.234960 1.23211i
\(535\) 5.21249 + 0.785656i 0.225355 + 0.0339669i
\(536\) −23.8393 + 7.35345i −1.02970 + 0.317621i
\(537\) 2.22283 + 6.32335i 0.0959222 + 0.272873i
\(538\) −7.54226 13.0636i −0.325170 0.563211i
\(539\) 11.3634 + 9.03720i 0.489456 + 0.389260i
\(540\) 5.67058 1.09825i 0.244023 0.0472611i
\(541\) −11.7236 7.99303i −0.504038 0.343647i 0.284457 0.958689i \(-0.408187\pi\)
−0.788495 + 0.615042i \(0.789139\pi\)
\(542\) −0.840445 + 3.68223i −0.0361002 + 0.158165i
\(543\) 6.76673 25.3996i 0.290388 1.09000i
\(544\) −2.90918 + 12.7459i −0.124730 + 0.546477i
\(545\) 11.0384 + 3.40490i 0.472833 + 0.145850i
\(546\) 6.47937 11.2773i 0.277291 0.482624i
\(547\) −33.8301 + 10.4352i −1.44647 + 0.446177i −0.915881 0.401451i \(-0.868506\pi\)
−0.530591 + 0.847628i \(0.678030\pi\)
\(548\) −0.831874 11.1006i −0.0355359 0.474194i
\(549\) 6.07410 3.53017i 0.259236 0.150664i
\(550\) −0.627212 + 8.36956i −0.0267444 + 0.356879i
\(551\) 4.55940 0.687220i 0.194237 0.0292765i
\(552\) 2.13720 2.49069i 0.0909651 0.106011i
\(553\) −3.26181 + 1.72670i −0.138706 + 0.0734268i
\(554\) 30.4416 20.7548i 1.29334 0.881785i
\(555\) 2.65780 6.11567i 0.112817 0.259596i
\(556\) 8.32163 + 10.4350i 0.352916 + 0.442542i
\(557\) −9.65083 + 16.7157i −0.408919 + 0.708268i −0.994769 0.102151i \(-0.967427\pi\)
0.585850 + 0.810419i \(0.300761\pi\)
\(558\) 5.18817 5.62382i 0.219633 0.238075i
\(559\) 10.2639 + 12.8705i 0.434117 + 0.544365i
\(560\) −18.2805 + 9.67715i −0.772493 + 0.408934i
\(561\) −8.78561 8.76042i −0.370929 0.369865i
\(562\) 8.95727 11.2321i 0.377840 0.473796i
\(563\) 0.341515 + 4.55720i 0.0143931 + 0.192063i 0.999766 + 0.0216487i \(0.00689155\pi\)
−0.985373 + 0.170414i \(0.945489\pi\)
\(564\) −13.9314 0.501250i −0.586619 0.0211064i
\(565\) −8.57739 21.8548i −0.360853 0.919439i
\(566\) 2.12504 2.66471i 0.0893220 0.112006i
\(567\) 23.3678 4.57677i 0.981355 0.192206i
\(568\) −2.25192 2.82382i −0.0944885 0.118485i
\(569\) −16.1889 + 28.0401i −0.678676 + 1.17550i 0.296704 + 0.954970i \(0.404113\pi\)
−0.975380 + 0.220532i \(0.929221\pi\)
\(570\) −9.44680 + 4.13775i −0.395683 + 0.173311i
\(571\) 1.97689 5.03702i 0.0827301 0.210793i −0.883523 0.468388i \(-0.844835\pi\)
0.966253 + 0.257595i \(0.0829301\pi\)
\(572\) −0.556619 2.43871i −0.0232734 0.101967i
\(573\) −16.2344 + 25.9195i −0.678204 + 1.08280i
\(574\) 44.3939 8.43048i 1.85296 0.351881i
\(575\) −1.96655 + 0.947039i −0.0820107 + 0.0394943i
\(576\) 10.7708 + 0.776068i 0.448784 + 0.0323362i
\(577\) 0.949961 12.6764i 0.0395474 0.527723i −0.941888 0.335928i \(-0.890950\pi\)
0.981435 0.191795i \(-0.0614309\pi\)
\(578\) −1.85413 8.12347i −0.0771216 0.337892i
\(579\) 9.85893 + 18.5894i 0.409723 + 0.772547i
\(580\) 1.65065 + 1.53158i 0.0685397 + 0.0635955i
\(581\) −7.45982 + 14.1375i −0.309486 + 0.586523i
\(582\) 5.95764 + 8.04811i 0.246952 + 0.333605i
\(583\) 7.28235 + 6.75704i 0.301604 + 0.279848i
\(584\) 12.4353 + 31.6846i 0.514576 + 1.31112i
\(585\) −8.23080 + 0.640584i −0.340302 + 0.0264849i
\(586\) −28.0872 19.1495i −1.16027 0.791060i
\(587\) −0.470995 0.815787i −0.0194400 0.0336711i 0.856142 0.516741i \(-0.172855\pi\)
−0.875582 + 0.483070i \(0.839522\pi\)
\(588\) 7.47068 3.97489i 0.308086 0.163922i
\(589\) −1.76718 + 3.06084i −0.0728152 + 0.126120i
\(590\) 3.97993 1.91664i 0.163851 0.0789066i
\(591\) 0.646899 + 3.39227i 0.0266098 + 0.139539i
\(592\) −7.39846 + 9.27738i −0.304075 + 0.381298i
\(593\) −25.3841 + 7.82996i −1.04240 + 0.321538i −0.768250 0.640149i \(-0.778872\pi\)
−0.274149 + 0.961687i \(0.588396\pi\)
\(594\) 10.4507 14.2885i 0.428796 0.586266i
\(595\) −8.63356 + 11.7144i −0.353942 + 0.480245i
\(596\) −8.74973 + 2.69893i −0.358403 + 0.110553i
\(597\) −1.59104 + 2.54021i −0.0651169 + 0.103964i
\(598\) 1.84333 1.71036i 0.0753792 0.0699417i
\(599\) 32.6523 + 22.2620i 1.33414 + 0.909600i 0.999464 0.0327343i \(-0.0104215\pi\)
0.334674 + 0.942334i \(0.391374\pi\)
\(600\) −8.07433 4.25259i −0.329633 0.173611i
\(601\) 31.4523 + 21.4438i 1.28296 + 0.874710i 0.996517 0.0833858i \(-0.0265734\pi\)
0.286447 + 0.958096i \(0.407526\pi\)
\(602\) 4.66310 + 41.1393i 0.190054 + 1.67671i
\(603\) −27.4229 21.7405i −1.11675 0.885343i
\(604\) 1.05554 0.979396i 0.0429492 0.0398511i
\(605\) 6.65098 + 8.34007i 0.270401 + 0.339072i
\(606\) 3.38935 30.4745i 0.137683 1.23794i
\(607\) −39.6143 −1.60789 −0.803946 0.594702i \(-0.797270\pi\)
−0.803946 + 0.594702i \(0.797270\pi\)
\(608\) 8.52038 1.28424i 0.345547 0.0520828i
\(609\) 6.81821 + 6.29974i 0.276288 + 0.255278i
\(610\) −6.05763 0.913041i −0.245266 0.0369679i
\(611\) 19.7028 + 2.96972i 0.797091 + 0.120142i
\(612\) −6.72388 + 2.66123i −0.271797 + 0.107574i
\(613\) 25.7489 17.5553i 1.03999 0.709052i 0.0822259 0.996614i \(-0.473797\pi\)
0.957762 + 0.287562i \(0.0928447\pi\)
\(614\) −2.12556 5.41585i −0.0857808 0.218566i
\(615\) −20.3109 20.2526i −0.819013 0.816665i
\(616\) −3.86881 + 11.0802i −0.155879 + 0.446432i
\(617\) −6.15420 + 0.927596i −0.247759 + 0.0373436i −0.271747 0.962369i \(-0.587602\pi\)
0.0239887 + 0.999712i \(0.492363\pi\)
\(618\) −2.79815 + 25.1589i −0.112558 + 1.01204i
\(619\) −8.55553 −0.343876 −0.171938 0.985108i \(-0.555003\pi\)
−0.171938 + 0.985108i \(0.555003\pi\)
\(620\) −1.70674 + 0.257250i −0.0685443 + 0.0103314i
\(621\) 4.57696 + 0.495747i 0.183667 + 0.0198936i
\(622\) −24.7634 11.9254i −0.992921 0.478165i
\(623\) −12.5795 + 23.8401i −0.503988 + 0.955135i
\(624\) 14.4389 + 2.71052i 0.578019 + 0.108508i
\(625\) −4.12308 5.17018i −0.164923 0.206807i
\(626\) −42.1688 28.7502i −1.68541 1.14909i
\(627\) −3.25921 + 7.49955i −0.130160 + 0.299503i
\(628\) −2.29361 + 1.56376i −0.0915249 + 0.0624006i
\(629\) −1.85771 + 8.13917i −0.0740719 + 0.324530i
\(630\) −18.3915 9.63707i −0.732734 0.383950i
\(631\) 1.08528 + 4.75494i 0.0432045 + 0.189291i 0.991925 0.126824i \(-0.0404784\pi\)
−0.948721 + 0.316115i \(0.897621\pi\)
\(632\) −2.18691 2.02915i −0.0869905 0.0807154i
\(633\) −32.3469 32.2542i −1.28567 1.28199i
\(634\) −44.2709 + 13.6558i −1.75822 + 0.542340i
\(635\) −27.8706 + 13.4218i −1.10601 + 0.532628i
\(636\) 5.30375 2.32307i 0.210307 0.0921157i
\(637\) −11.2534 + 4.43397i −0.445874 + 0.175680i
\(638\) 6.90133 0.273226
\(639\) 1.47945 4.84562i 0.0585262 0.191690i
\(640\) −15.7417 14.6062i −0.622245 0.577359i
\(641\) −25.9293 + 32.5143i −1.02415 + 1.28424i −0.0660411 + 0.997817i \(0.521037\pi\)
−0.958104 + 0.286420i \(0.907535\pi\)
\(642\) −1.76392 9.24984i −0.0696164 0.365062i
\(643\) 0.0616184 + 0.0190068i 0.00242999 + 0.000749553i 0.295970 0.955197i \(-0.404357\pi\)
−0.293540 + 0.955947i \(0.594833\pi\)
\(644\) 1.60737 0.305242i 0.0633391 0.0120282i
\(645\) 19.8952 17.1710i 0.783374 0.676108i
\(646\) 10.6684 7.27357i 0.419741 0.286175i
\(647\) 5.38062 + 1.65970i 0.211534 + 0.0652497i 0.398711 0.917077i \(-0.369458\pi\)
−0.187177 + 0.982326i \(0.559934\pi\)
\(648\) 9.71954 + 16.6137i 0.381820 + 0.652647i
\(649\) 1.27959 3.26034i 0.0502283 0.127980i
\(650\) −5.77711 3.93877i −0.226597 0.154491i
\(651\) −7.03391 + 1.07533i −0.275681 + 0.0421454i
\(652\) 2.26735 1.54585i 0.0887962 0.0605402i
\(653\) 4.18904 + 18.3534i 0.163930 + 0.718223i 0.988344 + 0.152236i \(0.0486474\pi\)
−0.824415 + 0.565986i \(0.808495\pi\)
\(654\) −0.801180 20.6197i −0.0313286 0.806295i
\(655\) −21.8873 −0.855208
\(656\) 25.5207 + 44.2031i 0.996415 + 1.72584i
\(657\) −26.7829 + 39.5266i −1.04490 + 1.54208i
\(658\) 38.0062 + 32.6628i 1.48164 + 1.27333i
\(659\) −17.3238 2.61114i −0.674839 0.101716i −0.197323 0.980339i \(-0.563225\pi\)
−0.477516 + 0.878623i \(0.658463\pi\)
\(660\) −3.85579 + 1.03909i −0.150086 + 0.0404466i
\(661\) 0.0866117 + 1.15575i 0.00336881 + 0.0449536i 0.998635 0.0522343i \(-0.0166343\pi\)
−0.995266 + 0.0971879i \(0.969015\pi\)
\(662\) −0.971568 12.9647i −0.0377611 0.503886i
\(663\) 9.97991 2.68947i 0.387588 0.104450i
\(664\) −12.7769 1.92581i −0.495841 0.0747359i
\(665\) 9.26589 + 2.47616i 0.359316 + 0.0960213i
\(666\) −11.8810 0.856062i −0.460380 0.0331717i
\(667\) 0.897384 + 1.55431i 0.0347469 + 0.0601833i
\(668\) −3.86253 −0.149446
\(669\) 1.09656 + 28.2218i 0.0423954 + 1.09112i
\(670\) 6.79027 + 29.7501i 0.262331 + 1.14935i
\(671\) −4.01322 + 2.73617i −0.154929 + 0.105628i
\(672\) 12.7415 + 11.7726i 0.491514 + 0.454139i
\(673\) 34.0470 + 23.2128i 1.31242 + 0.894790i 0.998505 0.0546631i \(-0.0174085\pi\)
0.313910 + 0.949453i \(0.398361\pi\)
\(674\) 2.41577 6.15527i 0.0930518 0.237092i
\(675\) −1.48804 12.7143i −0.0572748 0.489375i
\(676\) −6.67907 2.06022i −0.256887 0.0792392i
\(677\) 11.8339 8.06819i 0.454812 0.310086i −0.314158 0.949371i \(-0.601722\pi\)
0.768970 + 0.639285i \(0.220770\pi\)
\(678\) −31.7497 + 27.4023i −1.21934 + 1.05238i
\(679\) 0.341976 9.30580i 0.0131238 0.357124i
\(680\) −11.2405 3.46723i −0.431053 0.132962i
\(681\) −6.83818 35.8588i −0.262040 1.37411i
\(682\) −3.29827 + 4.13590i −0.126297 + 0.158372i
\(683\) −11.0709 10.2723i −0.423618 0.393060i 0.439352 0.898315i \(-0.355208\pi\)
−0.862970 + 0.505255i \(0.831398\pi\)
\(684\) 3.25175 + 3.48443i 0.124334 + 0.133231i
\(685\) 25.4005 0.970503
\(686\) −29.9013 5.59562i −1.14164 0.213642i
\(687\) 40.5699 17.7698i 1.54784 0.677961i
\(688\) −42.1351 + 20.2912i −1.60639 + 0.773595i
\(689\) −7.90838 + 2.43941i −0.301285 + 0.0929342i
\(690\) −2.84266 2.83451i −0.108218 0.107908i
\(691\) −11.6669 10.8253i −0.443831 0.411815i 0.426342 0.904562i \(-0.359802\pi\)
−0.870172 + 0.492747i \(0.835993\pi\)
\(692\) 2.38786 + 10.4619i 0.0907727 + 0.397701i
\(693\) −15.8867 + 4.31715i −0.603487 + 0.163995i
\(694\) −7.41618 + 32.4924i −0.281514 + 1.23339i
\(695\) −25.1631 + 17.1559i −0.954493 + 0.650762i
\(696\) −2.99084 + 6.88202i −0.113368 + 0.260862i
\(697\) 29.6704 + 20.2289i 1.12385 + 0.766225i
\(698\) 21.7062 + 27.2187i 0.821591 + 1.03024i
\(699\) 6.21302 + 1.16633i 0.234998 + 0.0441146i
\(700\) −1.82202 4.16851i −0.0688658 0.157555i
\(701\) 7.33138 + 3.53061i 0.276902 + 0.133349i 0.567181 0.823593i \(-0.308034\pi\)
−0.290279 + 0.956942i \(0.593748\pi\)
\(702\) 5.95560 + 13.4916i 0.224780 + 0.509206i
\(703\) 5.44086 0.820077i 0.205206 0.0309298i
\(704\) −7.46597 −0.281384
\(705\) 3.51615 31.6146i 0.132426 1.19067i
\(706\) 10.6183 1.60046i 0.399627 0.0602340i
\(707\) −20.1498 + 20.1768i −0.757812 + 0.758825i
\(708\) −1.44556 1.44142i −0.0543275 0.0541717i
\(709\) −17.0793 43.5173i −0.641426 1.63433i −0.766550 0.642185i \(-0.778028\pi\)
0.125124 0.992141i \(-0.460067\pi\)
\(710\) −3.65019 + 2.48866i −0.136989 + 0.0933977i
\(711\) 0.611828 4.13983i 0.0229454 0.155256i
\(712\) −21.5458 3.24750i −0.807461 0.121705i
\(713\) −1.36036 0.205041i −0.0509459 0.00767886i
\(714\) 24.8565 + 7.61000i 0.930232 + 0.284797i
\(715\) 5.64403 0.850700i 0.211075 0.0318144i
\(716\) −2.70096 −0.100939
\(717\) 4.77625 42.9444i 0.178372 1.60379i
\(718\) 28.1856 + 35.3437i 1.05188 + 1.31901i
\(719\) 14.3733 13.3365i 0.536034 0.497367i −0.365064 0.930982i \(-0.618953\pi\)
0.901098 + 0.433616i \(0.142762\pi\)
\(720\) 3.42894 23.2013i 0.127789 0.864663i
\(721\) 16.6351 16.6574i 0.619525 0.620353i
\(722\) 18.7543 + 12.7865i 0.697962 + 0.475863i
\(723\) −2.28597 1.20397i −0.0850160 0.0447763i
\(724\) 8.75168 + 5.96680i 0.325254 + 0.221754i
\(725\) 3.65831 3.39442i 0.135866 0.126066i
\(726\) 10.1150 16.1494i 0.375405 0.599361i
\(727\) 22.3332 6.88889i 0.828294 0.255495i 0.148513 0.988910i \(-0.452551\pi\)
0.679780 + 0.733416i \(0.262075\pi\)
\(728\) −6.38246 7.40655i −0.236550 0.274505i
\(729\) −11.5049 + 24.4262i −0.426107 + 0.904673i
\(730\) 39.7839 12.2717i 1.47247 0.454197i
\(731\) −20.5144 + 25.7243i −0.758754 + 0.951448i
\(732\) 0.530313 + 2.78091i 0.0196009 + 0.102785i
\(733\) 42.8566 20.6386i 1.58294 0.762306i 0.584161 0.811637i \(-0.301423\pi\)
0.998782 + 0.0493319i \(0.0157092\pi\)
\(734\) 12.4111 21.4966i 0.458102 0.793456i
\(735\) 7.77070 + 17.6768i 0.286627 + 0.652020i
\(736\) 1.67698 + 2.90462i 0.0618145 + 0.107066i
\(737\) 19.9907 + 13.6294i 0.736367 + 0.502047i
\(738\) −22.0985 + 46.2271i −0.813457 + 1.70164i
\(739\) −12.0908 30.8068i −0.444767 1.13325i −0.960938 0.276763i \(-0.910738\pi\)
0.516171 0.856485i \(-0.327357\pi\)
\(740\) 1.96977 + 1.82768i 0.0724102 + 0.0671868i
\(741\) −4.05309 5.47528i −0.148894 0.201139i
\(742\) −20.1090 5.37380i −0.738224 0.197278i
\(743\) 37.8093 + 35.0819i 1.38709 + 1.28703i 0.913825 + 0.406109i \(0.133115\pi\)
0.473264 + 0.880921i \(0.343076\pi\)
\(744\) −2.69495 5.08142i −0.0988017 0.186294i
\(745\) −4.64924 20.3696i −0.170335 0.746286i
\(746\) −1.67075 + 22.2946i −0.0611705 + 0.816264i
\(747\) −7.91109 16.3076i −0.289452 0.596664i
\(748\) 4.50447 2.16924i 0.164700 0.0793152i
\(749\) −4.08676 + 7.74503i −0.149327 + 0.282997i
\(750\) −17.9507 + 28.6595i −0.655465 + 1.04650i
\(751\) −5.52601 24.2110i −0.201647 0.883473i −0.969934 0.243368i \(-0.921748\pi\)
0.768287 0.640105i \(-0.221109\pi\)
\(752\) −20.6803 + 52.6925i −0.754133 + 1.92150i
\(753\) 9.55886 4.18684i 0.348344 0.152577i
\(754\) −2.87468 + 4.97909i −0.104690 + 0.181328i
\(755\) 2.04856 + 2.56881i 0.0745547 + 0.0934887i
\(756\) −1.38290 + 9.49519i −0.0502955 + 0.345337i
\(757\) 19.3498 24.2639i 0.703281 0.881886i −0.293983 0.955811i \(-0.594981\pi\)
0.997264 + 0.0739244i \(0.0235523\pi\)
\(758\) −9.62327 24.5197i −0.349533 0.890595i
\(759\) −3.18085 0.114446i −0.115457 0.00415414i
\(760\) 0.579368 + 7.73113i 0.0210159 + 0.280437i
\(761\) −19.6219 + 24.6050i −0.711292 + 0.891932i −0.997810 0.0661431i \(-0.978931\pi\)
0.286518 + 0.958075i \(0.407502\pi\)
\(762\) 39.1302 + 39.0180i 1.41754 + 1.41347i
\(763\) −11.3853 + 15.4480i −0.412174 + 0.559257i
\(764\) −7.68410 9.63555i −0.278001 0.348602i
\(765\) −4.90890 15.7535i −0.177482 0.569570i
\(766\) −30.9118 + 53.5409i −1.11689 + 1.93451i
\(767\) 1.81923 + 2.28125i 0.0656887 + 0.0823710i
\(768\) −10.3196 + 23.7457i −0.372377 + 0.856851i
\(769\) 20.1553 13.7416i 0.726818 0.495536i −0.142497 0.989795i \(-0.545513\pi\)
0.869315 + 0.494259i \(0.164561\pi\)
\(770\) 13.1614 + 5.73179i 0.474303 + 0.206559i
\(771\) 23.7987 27.7350i 0.857088 0.998851i
\(772\) −8.38451 + 1.26376i −0.301765 + 0.0454838i