Properties

Label 230.2.j.a.9.4
Level $230$
Weight $2$
Character 230.9
Analytic conductor $1.837$
Analytic rank $0$
Dimension $120$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 230 = 2 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 230.j (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.83655924649\)
Analytic rank: \(0\)
Dimension: \(120\)
Relative dimension: \(12\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 9.4
Character \(\chi\) \(=\) 230.9
Dual form 230.2.j.a.179.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.281733 - 0.959493i) q^{2} +(0.951117 - 0.824147i) q^{3} +(-0.841254 + 0.540641i) q^{4} +(-1.90749 - 1.16682i) q^{5} +(-1.05872 - 0.680401i) q^{6} +(-4.71597 - 2.15371i) q^{7} +(0.755750 + 0.654861i) q^{8} +(-0.201540 + 1.40174i) q^{9} +O(q^{10})\) \(q+(-0.281733 - 0.959493i) q^{2} +(0.951117 - 0.824147i) q^{3} +(-0.841254 + 0.540641i) q^{4} +(-1.90749 - 1.16682i) q^{5} +(-1.05872 - 0.680401i) q^{6} +(-4.71597 - 2.15371i) q^{7} +(0.755750 + 0.654861i) q^{8} +(-0.201540 + 1.40174i) q^{9} +(-0.582157 + 2.15896i) q^{10} +(-2.19093 - 0.643316i) q^{11} +(-0.354563 + 1.20753i) q^{12} +(2.34205 - 1.06958i) q^{13} +(-0.737829 + 5.13171i) q^{14} +(-2.77588 + 0.462268i) q^{15} +(0.415415 - 0.909632i) q^{16} +(3.46614 - 5.39342i) q^{17} +(1.40174 - 0.201540i) q^{18} +(5.04389 - 3.24151i) q^{19} +(2.23552 - 0.0496729i) q^{20} +(-6.26041 + 1.83822i) q^{21} +2.28343i q^{22} +(-4.75560 - 0.619884i) q^{23} +1.25851 q^{24} +(2.27704 + 4.45141i) q^{25} +(-1.68609 - 1.94585i) q^{26} +(3.00476 + 4.67549i) q^{27} +(5.13171 - 0.737829i) q^{28} +(-1.24018 - 0.797013i) q^{29} +(1.22560 + 2.53320i) q^{30} +(0.0386867 - 0.0446468i) q^{31} +(-0.989821 - 0.142315i) q^{32} +(-2.61402 + 1.19378i) q^{33} +(-6.15147 - 1.80623i) q^{34} +(6.48267 + 9.61089i) q^{35} +(-0.588293 - 1.28818i) q^{36} +(-2.82112 - 0.405616i) q^{37} +(-4.53124 - 3.92634i) q^{38} +(1.34607 - 2.94749i) q^{39} +(-0.677478 - 2.13097i) q^{40} +(-1.69364 - 11.7796i) q^{41} +(3.52753 + 5.48894i) q^{42} +(-2.17198 + 1.88203i) q^{43} +(2.19093 - 0.643316i) q^{44} +(2.02002 - 2.43865i) q^{45} +(0.745033 + 4.73761i) q^{46} -2.51684i q^{47} +(-0.354563 - 1.20753i) q^{48} +(13.0179 + 15.0234i) q^{49} +(3.62958 - 3.43892i) q^{50} +(-1.14827 - 7.98638i) q^{51} +(-1.39200 + 2.16599i) q^{52} +(8.37345 + 3.82403i) q^{53} +(3.63957 - 4.20028i) q^{54} +(3.42855 + 3.78355i) q^{55} +(-2.15371 - 4.71597i) q^{56} +(2.12585 - 7.23997i) q^{57} +(-0.415331 + 1.41449i) q^{58} +(-4.59819 - 10.0686i) q^{59} +(2.08530 - 1.88964i) q^{60} +(-1.22319 + 1.41164i) q^{61} +(-0.0537376 - 0.0245411i) q^{62} +(3.96941 - 6.17652i) q^{63} +(0.142315 + 0.989821i) q^{64} +(-5.71545 - 0.692549i) q^{65} +(1.88188 + 2.17181i) q^{66} +(1.16513 + 3.96806i) q^{67} +6.41117i q^{68} +(-5.03401 + 3.32973i) q^{69} +(7.39520 - 8.92778i) q^{70} +(2.50686 - 0.736081i) q^{71} +(-1.07026 + 0.927386i) q^{72} +(3.81970 + 5.94357i) q^{73} +(0.405616 + 2.82112i) q^{74} +(5.83436 + 2.35719i) q^{75} +(-2.49070 + 5.45387i) q^{76} +(8.94686 + 7.75250i) q^{77} +(-3.20733 - 0.461144i) q^{78} +(-2.52526 - 5.52956i) q^{79} +(-1.85378 + 1.25040i) q^{80} +(2.63479 + 0.773644i) q^{81} +(-10.8252 + 4.94373i) q^{82} +(0.603766 + 0.0868084i) q^{83} +(4.27278 - 4.93105i) q^{84} +(-12.9048 + 6.24352i) q^{85} +(2.41771 + 1.55377i) q^{86} +(-1.83641 + 0.264036i) q^{87} +(-1.23452 - 1.92094i) q^{88} +(1.26042 + 1.45461i) q^{89} +(-2.90897 - 1.25115i) q^{90} -13.3486 q^{91} +(4.33580 - 2.04959i) q^{92} -0.0743478i q^{93} +(-2.41489 + 0.709075i) q^{94} +(-13.4035 + 0.297823i) q^{95} +(-1.05872 + 0.680401i) q^{96} +(5.40298 - 0.776832i) q^{97} +(10.7473 - 16.7232i) q^{98} +(1.34333 - 2.94147i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 120 q + 12 q^{4} - 4 q^{6} + 8 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 120 q + 12 q^{4} - 4 q^{6} + 8 q^{9} + 8 q^{11} - 6 q^{15} - 12 q^{16} - 16 q^{19} - 22 q^{20} + 4 q^{24} - 52 q^{25} - 4 q^{26} - 8 q^{29} - 44 q^{30} + 12 q^{31} + 16 q^{35} - 8 q^{36} - 36 q^{39} - 28 q^{41} - 8 q^{44} + 16 q^{45} - 4 q^{46} - 58 q^{49} + 12 q^{50} - 24 q^{51} - 6 q^{54} - 36 q^{55} + 22 q^{56} - 102 q^{59} - 38 q^{60} + 72 q^{61} + 12 q^{64} - 138 q^{65} + 80 q^{66} - 212 q^{69} - 108 q^{70} + 176 q^{71} - 88 q^{74} - 100 q^{75} + 16 q^{76} - 104 q^{79} - 22 q^{80} - 28 q^{81} - 22 q^{84} + 2 q^{85} + 62 q^{86} + 48 q^{89} + 24 q^{90} - 56 q^{91} + 24 q^{94} + 18 q^{95} - 4 q^{96} + 188 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).

\(n\) \(47\) \(51\)
\(\chi(n)\) \(-1\) \(e\left(\frac{5}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.281733 0.959493i −0.199215 0.678464i
\(3\) 0.951117 0.824147i 0.549128 0.475822i −0.335552 0.942022i \(-0.608923\pi\)
0.884679 + 0.466200i \(0.154377\pi\)
\(4\) −0.841254 + 0.540641i −0.420627 + 0.270320i
\(5\) −1.90749 1.16682i −0.853056 0.521819i
\(6\) −1.05872 0.680401i −0.432222 0.277772i
\(7\) −4.71597 2.15371i −1.78247 0.814026i −0.974360 0.224994i \(-0.927764\pi\)
−0.808109 0.589033i \(-0.799509\pi\)
\(8\) 0.755750 + 0.654861i 0.267198 + 0.231528i
\(9\) −0.201540 + 1.40174i −0.0671801 + 0.467248i
\(10\) −0.582157 + 2.15896i −0.184094 + 0.682722i
\(11\) −2.19093 0.643316i −0.660592 0.193967i −0.0657822 0.997834i \(-0.520954\pi\)
−0.594809 + 0.803867i \(0.702772\pi\)
\(12\) −0.354563 + 1.20753i −0.102353 + 0.348584i
\(13\) 2.34205 1.06958i 0.649568 0.296648i −0.0632491 0.997998i \(-0.520146\pi\)
0.712817 + 0.701350i \(0.247419\pi\)
\(14\) −0.737829 + 5.13171i −0.197193 + 1.37151i
\(15\) −2.77588 + 0.462268i −0.716730 + 0.119357i
\(16\) 0.415415 0.909632i 0.103854 0.227408i
\(17\) 3.46614 5.39342i 0.840662 1.30810i −0.108752 0.994069i \(-0.534685\pi\)
0.949414 0.314027i \(-0.101678\pi\)
\(18\) 1.40174 0.201540i 0.330394 0.0475035i
\(19\) 5.04389 3.24151i 1.15715 0.743654i 0.186098 0.982531i \(-0.440416\pi\)
0.971050 + 0.238877i \(0.0767794\pi\)
\(20\) 2.23552 0.0496729i 0.499877 0.0111072i
\(21\) −6.26041 + 1.83822i −1.36613 + 0.401133i
\(22\) 2.28343i 0.486829i
\(23\) −4.75560 0.619884i −0.991611 0.129255i
\(24\) 1.25851 0.256892
\(25\) 2.27704 + 4.45141i 0.455409 + 0.890282i
\(26\) −1.68609 1.94585i −0.330668 0.381612i
\(27\) 3.00476 + 4.67549i 0.578266 + 0.899799i
\(28\) 5.13171 0.737829i 0.969802 0.139437i
\(29\) −1.24018 0.797013i −0.230295 0.148002i 0.420405 0.907337i \(-0.361888\pi\)
−0.650700 + 0.759335i \(0.725524\pi\)
\(30\) 1.22560 + 2.53320i 0.223763 + 0.462497i
\(31\) 0.0386867 0.0446468i 0.00694833 0.00801880i −0.752265 0.658861i \(-0.771039\pi\)
0.759213 + 0.650842i \(0.225584\pi\)
\(32\) −0.989821 0.142315i −0.174977 0.0251579i
\(33\) −2.61402 + 1.19378i −0.455043 + 0.207811i
\(34\) −6.15147 1.80623i −1.05497 0.309767i
\(35\) 6.48267 + 9.61089i 1.09577 + 1.62454i
\(36\) −0.588293 1.28818i −0.0980489 0.214697i
\(37\) −2.82112 0.405616i −0.463790 0.0666829i −0.0935407 0.995615i \(-0.529819\pi\)
−0.370249 + 0.928933i \(0.620728\pi\)
\(38\) −4.53124 3.92634i −0.735064 0.636936i
\(39\) 1.34607 2.94749i 0.215544 0.471976i
\(40\) −0.677478 2.13097i −0.107119 0.336936i
\(41\) −1.69364 11.7796i −0.264503 1.83966i −0.497848 0.867264i \(-0.665876\pi\)
0.233346 0.972394i \(-0.425033\pi\)
\(42\) 3.52753 + 5.48894i 0.544309 + 0.846961i
\(43\) −2.17198 + 1.88203i −0.331224 + 0.287007i −0.804556 0.593877i \(-0.797597\pi\)
0.473332 + 0.880884i \(0.343051\pi\)
\(44\) 2.19093 0.643316i 0.330296 0.0969836i
\(45\) 2.02002 2.43865i 0.301127 0.363533i
\(46\) 0.745033 + 4.73761i 0.109849 + 0.698522i
\(47\) 2.51684i 0.367118i −0.983009 0.183559i \(-0.941238\pi\)
0.983009 0.183559i \(-0.0587619\pi\)
\(48\) −0.354563 1.20753i −0.0511767 0.174292i
\(49\) 13.0179 + 15.0234i 1.85970 + 2.14620i
\(50\) 3.62958 3.43892i 0.513300 0.486336i
\(51\) −1.14827 7.98638i −0.160790 1.11832i
\(52\) −1.39200 + 2.16599i −0.193036 + 0.300369i
\(53\) 8.37345 + 3.82403i 1.15018 + 0.525271i 0.896949 0.442135i \(-0.145779\pi\)
0.253233 + 0.967405i \(0.418506\pi\)
\(54\) 3.63957 4.20028i 0.495282 0.571586i
\(55\) 3.42855 + 3.78355i 0.462306 + 0.510174i
\(56\) −2.15371 4.71597i −0.287802 0.630198i
\(57\) 2.12585 7.23997i 0.281575 0.958957i
\(58\) −0.415331 + 1.41449i −0.0545356 + 0.185731i
\(59\) −4.59819 10.0686i −0.598633 1.31082i −0.930083 0.367350i \(-0.880265\pi\)
0.331450 0.943473i \(-0.392462\pi\)
\(60\) 2.08530 1.88964i 0.269211 0.243951i
\(61\) −1.22319 + 1.41164i −0.156614 + 0.180742i −0.828634 0.559791i \(-0.810881\pi\)
0.672020 + 0.740533i \(0.265427\pi\)
\(62\) −0.0537376 0.0245411i −0.00682468 0.00311673i
\(63\) 3.96941 6.17652i 0.500099 0.778168i
\(64\) 0.142315 + 0.989821i 0.0177894 + 0.123728i
\(65\) −5.71545 0.692549i −0.708914 0.0859001i
\(66\) 1.88188 + 2.17181i 0.231644 + 0.267331i
\(67\) 1.16513 + 3.96806i 0.142343 + 0.484776i 0.999544 0.0302066i \(-0.00961653\pi\)
−0.857201 + 0.514983i \(0.827798\pi\)
\(68\) 6.41117i 0.777468i
\(69\) −5.03401 + 3.32973i −0.606023 + 0.400853i
\(70\) 7.39520 8.92778i 0.883896 1.06707i
\(71\) 2.50686 0.736081i 0.297510 0.0873567i −0.129571 0.991570i \(-0.541360\pi\)
0.427081 + 0.904213i \(0.359542\pi\)
\(72\) −1.07026 + 0.927386i −0.126131 + 0.109294i
\(73\) 3.81970 + 5.94357i 0.447062 + 0.695642i 0.989513 0.144445i \(-0.0461398\pi\)
−0.542451 + 0.840088i \(0.682503\pi\)
\(74\) 0.405616 + 2.82112i 0.0471519 + 0.327949i
\(75\) 5.83436 + 2.35719i 0.673693 + 0.272185i
\(76\) −2.49070 + 5.45387i −0.285703 + 0.625601i
\(77\) 8.94686 + 7.75250i 1.01959 + 0.883480i
\(78\) −3.20733 0.461144i −0.363158 0.0522143i
\(79\) −2.52526 5.52956i −0.284114 0.622124i 0.712736 0.701433i \(-0.247456\pi\)
−0.996850 + 0.0793090i \(0.974729\pi\)
\(80\) −1.85378 + 1.25040i −0.207259 + 0.139799i
\(81\) 2.63479 + 0.773644i 0.292755 + 0.0859605i
\(82\) −10.8252 + 4.94373i −1.19545 + 0.545943i
\(83\) 0.603766 + 0.0868084i 0.0662719 + 0.00952846i 0.175371 0.984502i \(-0.443887\pi\)
−0.109099 + 0.994031i \(0.534797\pi\)
\(84\) 4.27278 4.93105i 0.466198 0.538021i
\(85\) −12.9048 + 6.24352i −1.39972 + 0.677205i
\(86\) 2.41771 + 1.55377i 0.260709 + 0.167547i
\(87\) −1.83641 + 0.264036i −0.196884 + 0.0283076i
\(88\) −1.23452 1.92094i −0.131600 0.204773i
\(89\) 1.26042 + 1.45461i 0.133605 + 0.154188i 0.818609 0.574351i \(-0.194745\pi\)
−0.685005 + 0.728539i \(0.740200\pi\)
\(90\) −2.90897 1.25115i −0.306633 0.131883i
\(91\) −13.3486 −1.39931
\(92\) 4.33580 2.04959i 0.452039 0.213685i
\(93\) 0.0743478i 0.00770951i
\(94\) −2.41489 + 0.709075i −0.249077 + 0.0731355i
\(95\) −13.4035 + 0.297823i −1.37517 + 0.0305560i
\(96\) −1.05872 + 0.680401i −0.108056 + 0.0694431i
\(97\) 5.40298 0.776832i 0.548590 0.0788753i 0.137554 0.990494i \(-0.456076\pi\)
0.411036 + 0.911619i \(0.365167\pi\)
\(98\) 10.7473 16.7232i 1.08564 1.68929i
\(99\) 1.34333 2.94147i 0.135009 0.295629i
\(100\) −4.32219 2.51370i −0.432219 0.251370i
\(101\) −0.137115 + 0.953658i −0.0136435 + 0.0948925i −0.995505 0.0947050i \(-0.969809\pi\)
0.981862 + 0.189597i \(0.0607183\pi\)
\(102\) −7.33937 + 3.35178i −0.726706 + 0.331875i
\(103\) −1.20605 + 4.10742i −0.118835 + 0.404716i −0.997329 0.0730377i \(-0.976731\pi\)
0.878494 + 0.477754i \(0.158549\pi\)
\(104\) 2.47043 + 0.725383i 0.242245 + 0.0711297i
\(105\) 14.0866 + 3.79841i 1.37471 + 0.370686i
\(106\) 1.31005 9.11162i 0.127244 0.884999i
\(107\) −11.1022 9.62014i −1.07329 0.930014i −0.0755495 0.997142i \(-0.524071\pi\)
−0.997744 + 0.0671276i \(0.978617\pi\)
\(108\) −5.05553 2.30878i −0.486468 0.222163i
\(109\) 10.5609 + 6.78706i 1.01155 + 0.650083i 0.937793 0.347194i \(-0.112865\pi\)
0.0737550 + 0.997276i \(0.476502\pi\)
\(110\) 2.66436 4.35562i 0.254037 0.415292i
\(111\) −3.01750 + 1.93923i −0.286409 + 0.184064i
\(112\) −3.91817 + 3.39511i −0.370232 + 0.320808i
\(113\) 2.52010 + 8.58266i 0.237071 + 0.807389i 0.988971 + 0.148112i \(0.0473195\pi\)
−0.751900 + 0.659277i \(0.770862\pi\)
\(114\) −7.54562 −0.706712
\(115\) 8.34797 + 6.73137i 0.778452 + 0.627704i
\(116\) 1.47420 0.136876
\(117\) 1.02726 + 3.49852i 0.0949700 + 0.323438i
\(118\) −8.36531 + 7.24859i −0.770090 + 0.667286i
\(119\) −27.9621 + 17.9701i −2.56328 + 1.64732i
\(120\) −2.40059 1.46846i −0.219143 0.134051i
\(121\) −4.86745 3.12812i −0.442496 0.284375i
\(122\) 1.69907 + 0.775940i 0.153827 + 0.0702503i
\(123\) −11.3189 9.80792i −1.02060 0.884351i
\(124\) −0.00840741 + 0.0584748i −0.000755008 + 0.00525120i
\(125\) 0.850572 11.1479i 0.0760774 0.997102i
\(126\) −7.04464 2.06849i −0.627586 0.184276i
\(127\) 4.01637 13.6785i 0.356395 1.21377i −0.564983 0.825103i \(-0.691117\pi\)
0.921378 0.388668i \(-0.127065\pi\)
\(128\) 0.909632 0.415415i 0.0804009 0.0367178i
\(129\) −0.514736 + 3.58006i −0.0453199 + 0.315207i
\(130\) 0.945733 + 5.67905i 0.0829463 + 0.498085i
\(131\) −2.83256 + 6.20244i −0.247482 + 0.541910i −0.992081 0.125603i \(-0.959914\pi\)
0.744599 + 0.667512i \(0.232641\pi\)
\(132\) 1.55365 2.41752i 0.135228 0.210418i
\(133\) −30.7681 + 4.42379i −2.66793 + 0.383591i
\(134\) 3.47907 2.23586i 0.300546 0.193149i
\(135\) −0.276070 12.4245i −0.0237604 1.06933i
\(136\) 6.15147 1.80623i 0.527484 0.154883i
\(137\) 6.35078i 0.542584i −0.962497 0.271292i \(-0.912549\pi\)
0.962497 0.271292i \(-0.0874509\pi\)
\(138\) 4.61310 + 3.89200i 0.392693 + 0.331309i
\(139\) 4.15230 0.352194 0.176097 0.984373i \(-0.443653\pi\)
0.176097 + 0.984373i \(0.443653\pi\)
\(140\) −10.6496 4.58040i −0.900056 0.387115i
\(141\) −2.07425 2.39381i −0.174683 0.201595i
\(142\) −1.41253 2.19794i −0.118537 0.184447i
\(143\) −5.81936 + 0.836697i −0.486639 + 0.0699681i
\(144\) 1.19135 + 0.765633i 0.0992790 + 0.0638027i
\(145\) 1.43565 + 2.96736i 0.119224 + 0.246426i
\(146\) 4.62668 5.33947i 0.382907 0.441898i
\(147\) 24.7630 + 3.56039i 2.04242 + 0.293656i
\(148\) 2.59257 1.18399i 0.213108 0.0973232i
\(149\) −6.77849 1.99034i −0.555315 0.163055i −0.00797916 0.999968i \(-0.502540\pi\)
−0.547336 + 0.836913i \(0.684358\pi\)
\(150\) 0.617982 6.26212i 0.0504580 0.511300i
\(151\) 6.96279 + 15.2464i 0.566623 + 1.24073i 0.948576 + 0.316550i \(0.102525\pi\)
−0.381952 + 0.924182i \(0.624748\pi\)
\(152\) 5.93466 + 0.853275i 0.481364 + 0.0692097i
\(153\) 6.86162 + 5.94563i 0.554729 + 0.480675i
\(154\) 4.91785 10.7686i 0.396291 0.867757i
\(155\) −0.125889 + 0.0400228i −0.0101117 + 0.00321471i
\(156\) 0.461144 + 3.20733i 0.0369211 + 0.256792i
\(157\) −3.78167 5.88439i −0.301810 0.469625i 0.656913 0.753966i \(-0.271862\pi\)
−0.958723 + 0.284341i \(0.908225\pi\)
\(158\) −4.59412 + 3.98083i −0.365489 + 0.316698i
\(159\) 11.1157 3.26386i 0.881532 0.258841i
\(160\) 1.72202 + 1.42641i 0.136138 + 0.112768i
\(161\) 21.0922 + 13.1655i 1.66230 + 1.03759i
\(162\) 2.74602i 0.215748i
\(163\) −4.38321 14.9278i −0.343319 1.16924i −0.932480 0.361222i \(-0.882360\pi\)
0.589161 0.808016i \(-0.299458\pi\)
\(164\) 7.79329 + 8.99394i 0.608554 + 0.702309i
\(165\) 6.37916 + 0.772971i 0.496617 + 0.0601757i
\(166\) −0.0868084 0.603766i −0.00673764 0.0468613i
\(167\) −0.520879 + 0.810504i −0.0403068 + 0.0627187i −0.860822 0.508906i \(-0.830050\pi\)
0.820515 + 0.571624i \(0.193687\pi\)
\(168\) −5.93509 2.71046i −0.457902 0.209117i
\(169\) −4.17199 + 4.81473i −0.320922 + 0.370364i
\(170\) 9.62632 + 10.6231i 0.738305 + 0.814751i
\(171\) 3.52722 + 7.72354i 0.269733 + 0.590634i
\(172\) 0.809683 2.75753i 0.0617378 0.210259i
\(173\) −2.08713 + 7.10812i −0.158682 + 0.540420i −1.00000 0.000119804i \(-0.999962\pi\)
0.841318 + 0.540540i \(0.181780\pi\)
\(174\) 0.770717 + 1.68763i 0.0584279 + 0.127939i
\(175\) −1.15142 25.8968i −0.0870389 1.95762i
\(176\) −1.49533 + 1.72570i −0.112715 + 0.130080i
\(177\) −12.6714 5.78685i −0.952444 0.434967i
\(178\) 1.04058 1.61918i 0.0779950 0.121363i
\(179\) 0.522586 + 3.63466i 0.0390599 + 0.271667i 0.999987 0.00513471i \(-0.00163444\pi\)
−0.960927 + 0.276802i \(0.910725\pi\)
\(180\) −0.380918 + 3.14363i −0.0283919 + 0.234312i
\(181\) 3.34960 + 3.86565i 0.248974 + 0.287331i 0.866456 0.499254i \(-0.166393\pi\)
−0.617482 + 0.786585i \(0.711847\pi\)
\(182\) 3.76074 + 12.8079i 0.278764 + 0.949384i
\(183\) 2.35073i 0.173771i
\(184\) −3.18811 3.58273i −0.235030 0.264123i
\(185\) 4.90798 + 4.06546i 0.360842 + 0.298899i
\(186\) −0.0713362 + 0.0209462i −0.00523062 + 0.00153585i
\(187\) −11.0638 + 9.58680i −0.809062 + 0.701056i
\(188\) 1.36070 + 2.11730i 0.0992396 + 0.154420i
\(189\) −4.10068 28.5209i −0.298281 2.07459i
\(190\) 4.06195 + 12.7766i 0.294685 + 0.926913i
\(191\) 6.61488 14.4846i 0.478636 1.04807i −0.504200 0.863587i \(-0.668213\pi\)
0.982836 0.184480i \(-0.0590601\pi\)
\(192\) 0.951117 + 0.824147i 0.0686409 + 0.0594777i
\(193\) 16.2334 + 2.33400i 1.16850 + 0.168005i 0.699130 0.714995i \(-0.253571\pi\)
0.469373 + 0.883000i \(0.344480\pi\)
\(194\) −2.26756 4.96527i −0.162801 0.356485i
\(195\) −6.00682 + 4.05168i −0.430158 + 0.290147i
\(196\) −19.0736 5.60052i −1.36240 0.400037i
\(197\) 8.28190 3.78222i 0.590061 0.269472i −0.0979275 0.995194i \(-0.531221\pi\)
0.687988 + 0.725722i \(0.258494\pi\)
\(198\) −3.20078 0.460203i −0.227470 0.0327052i
\(199\) 15.5311 17.9239i 1.10097 1.27059i 0.141148 0.989989i \(-0.454921\pi\)
0.959824 0.280601i \(-0.0905338\pi\)
\(200\) −1.19418 + 4.85530i −0.0844412 + 0.343322i
\(201\) 4.37844 + 2.81385i 0.308831 + 0.198474i
\(202\) 0.953658 0.137115i 0.0670991 0.00964740i
\(203\) 4.13210 + 6.42968i 0.290017 + 0.451275i
\(204\) 5.28375 + 6.09777i 0.369936 + 0.426929i
\(205\) −10.5141 + 24.4456i −0.734334 + 1.70735i
\(206\) 4.28082 0.298259
\(207\) 1.82736 6.54120i 0.127011 0.454645i
\(208\) 2.57472i 0.178525i
\(209\) −13.1362 + 3.85712i −0.908647 + 0.266803i
\(210\) −0.324101 14.5861i −0.0223651 1.00654i
\(211\) 2.20758 1.41873i 0.151976 0.0976692i −0.462443 0.886649i \(-0.653027\pi\)
0.614419 + 0.788980i \(0.289391\pi\)
\(212\) −9.11162 + 1.31005i −0.625789 + 0.0899748i
\(213\) 1.77768 2.76612i 0.121805 0.189532i
\(214\) −6.10260 + 13.3628i −0.417165 + 0.913464i
\(215\) 6.33903 1.05564i 0.432318 0.0719941i
\(216\) −0.790953 + 5.50120i −0.0538175 + 0.374309i
\(217\) −0.278601 + 0.127233i −0.0189127 + 0.00863714i
\(218\) 3.53680 12.0452i 0.239542 0.815805i
\(219\) 8.53136 + 2.50503i 0.576496 + 0.169274i
\(220\) −4.92982 1.32931i −0.332369 0.0896223i
\(221\) 2.34919 16.3390i 0.158023 1.09908i
\(222\) 2.71081 + 2.34893i 0.181938 + 0.157650i
\(223\) 13.0959 + 5.98069i 0.876966 + 0.400497i 0.802447 0.596723i \(-0.203531\pi\)
0.0745183 + 0.997220i \(0.476258\pi\)
\(224\) 4.36146 + 2.80294i 0.291413 + 0.187279i
\(225\) −6.69865 + 2.29469i −0.446577 + 0.152980i
\(226\) 7.52501 4.83603i 0.500556 0.321688i
\(227\) −1.86666 + 1.61747i −0.123894 + 0.107355i −0.714604 0.699529i \(-0.753393\pi\)
0.590710 + 0.806884i \(0.298848\pi\)
\(228\) 2.12585 + 7.23997i 0.140788 + 0.479478i
\(229\) −24.3983 −1.61228 −0.806142 0.591722i \(-0.798448\pi\)
−0.806142 + 0.591722i \(0.798448\pi\)
\(230\) 4.10681 9.90627i 0.270795 0.653200i
\(231\) 14.8987 0.980264
\(232\) −0.415331 1.41449i −0.0272678 0.0928656i
\(233\) 15.5592 13.4821i 1.01931 0.883241i 0.0261146 0.999659i \(-0.491687\pi\)
0.993200 + 0.116418i \(0.0371411\pi\)
\(234\) 3.06739 1.97129i 0.200522 0.128867i
\(235\) −2.93671 + 4.80084i −0.191570 + 0.313173i
\(236\) 9.31175 + 5.98430i 0.606143 + 0.389545i
\(237\) −6.95899 3.17806i −0.452035 0.206437i
\(238\) 25.1200 + 21.7666i 1.62829 + 1.41092i
\(239\) −0.442468 + 3.07743i −0.0286209 + 0.199062i −0.999115 0.0420623i \(-0.986607\pi\)
0.970494 + 0.241125i \(0.0775163\pi\)
\(240\) −0.732649 + 2.71706i −0.0472923 + 0.175386i
\(241\) 9.87037 + 2.89820i 0.635806 + 0.186690i 0.583723 0.811953i \(-0.301596\pi\)
0.0520837 + 0.998643i \(0.483414\pi\)
\(242\) −1.63009 + 5.55158i −0.104786 + 0.356869i
\(243\) −12.0230 + 5.49071i −0.771275 + 0.352229i
\(244\) 0.265825 1.84886i 0.0170177 0.118361i
\(245\) −7.30179 43.8466i −0.466494 2.80126i
\(246\) −6.22172 + 13.6237i −0.396682 + 0.868613i
\(247\) 8.34600 12.9866i 0.531043 0.826319i
\(248\) 0.0584748 0.00840741i 0.00371316 0.000533871i
\(249\) 0.645795 0.415027i 0.0409256 0.0263013i
\(250\) −10.9360 + 2.32462i −0.691654 + 0.147022i
\(251\) −12.7825 + 3.75329i −0.806827 + 0.236906i −0.659035 0.752113i \(-0.729035\pi\)
−0.147793 + 0.989018i \(0.547217\pi\)
\(252\) 7.34204i 0.462505i
\(253\) 10.0204 + 4.41748i 0.629979 + 0.277725i
\(254\) −14.2560 −0.894499
\(255\) −7.12839 + 16.5738i −0.446397 + 1.03789i
\(256\) −0.654861 0.755750i −0.0409288 0.0472343i
\(257\) −2.22905 3.46846i −0.139044 0.216357i 0.764747 0.644331i \(-0.222864\pi\)
−0.903791 + 0.427974i \(0.859228\pi\)
\(258\) 3.58006 0.514736i 0.222885 0.0320460i
\(259\) 12.4307 + 7.98876i 0.772409 + 0.496397i
\(260\) 5.18256 2.50740i 0.321409 0.155502i
\(261\) 1.36715 1.57778i 0.0846247 0.0976621i
\(262\) 6.74922 + 0.970392i 0.416968 + 0.0599510i
\(263\) 8.89016 4.06000i 0.548191 0.250350i −0.122012 0.992529i \(-0.538935\pi\)
0.670202 + 0.742178i \(0.266207\pi\)
\(264\) −2.75731 0.809619i −0.169701 0.0498286i
\(265\) −11.5103 17.0646i −0.707073 1.04827i
\(266\) 12.9130 + 28.2755i 0.791745 + 1.73368i
\(267\) 2.39762 + 0.344726i 0.146732 + 0.0210969i
\(268\) −3.12547 2.70823i −0.190918 0.165432i
\(269\) 9.72977 21.3052i 0.593234 1.29900i −0.340234 0.940341i \(-0.610506\pi\)
0.933468 0.358661i \(-0.116767\pi\)
\(270\) −11.8434 + 3.76527i −0.720768 + 0.229147i
\(271\) 0.396200 + 2.75563i 0.0240675 + 0.167393i 0.998310 0.0581087i \(-0.0185070\pi\)
−0.974243 + 0.225502i \(0.927598\pi\)
\(272\) −3.46614 5.39342i −0.210166 0.327024i
\(273\) −12.6961 + 11.0012i −0.768402 + 0.665824i
\(274\) −6.09353 + 1.78922i −0.368124 + 0.108091i
\(275\) −2.12519 11.2176i −0.128154 0.676447i
\(276\) 2.43469 5.52274i 0.146551 0.332430i
\(277\) 5.14479i 0.309121i −0.987983 0.154560i \(-0.950604\pi\)
0.987983 0.154560i \(-0.0493961\pi\)
\(278\) −1.16984 3.98411i −0.0701623 0.238951i
\(279\) 0.0547864 + 0.0632269i 0.00327998 + 0.00378529i
\(280\) −1.39452 + 11.5087i −0.0833386 + 0.687775i
\(281\) 3.35457 + 23.3315i 0.200117 + 1.39184i 0.803934 + 0.594719i \(0.202737\pi\)
−0.603817 + 0.797123i \(0.706354\pi\)
\(282\) −1.71246 + 2.66464i −0.101975 + 0.158677i
\(283\) 21.6945 + 9.90757i 1.28961 + 0.588944i 0.937815 0.347135i \(-0.112845\pi\)
0.351792 + 0.936078i \(0.385573\pi\)
\(284\) −1.71095 + 1.97454i −0.101526 + 0.117168i
\(285\) −12.5028 + 11.3297i −0.740602 + 0.671113i
\(286\) 2.44231 + 5.34791i 0.144417 + 0.316228i
\(287\) −17.3826 + 59.1997i −1.02606 + 3.49445i
\(288\) 0.398978 1.35879i 0.0235100 0.0800677i
\(289\) −10.0128 21.9249i −0.588987 1.28970i
\(290\) 2.44270 2.21350i 0.143440 0.129981i
\(291\) 4.49865 5.19171i 0.263715 0.304344i
\(292\) −6.42667 2.93496i −0.376093 0.171756i
\(293\) −0.570702 + 0.888029i −0.0333407 + 0.0518792i −0.857524 0.514444i \(-0.827998\pi\)
0.824183 + 0.566323i \(0.191635\pi\)
\(294\) −3.56039 24.7630i −0.207646 1.44421i
\(295\) −2.97731 + 24.5711i −0.173346 + 1.43058i
\(296\) −1.86644 2.15399i −0.108485 0.125198i
\(297\) −3.57540 12.1767i −0.207466 0.706564i
\(298\) 7.06465i 0.409244i
\(299\) −11.8009 + 3.63469i −0.682462 + 0.210200i
\(300\) −6.18257 + 1.17129i −0.356951 + 0.0676247i
\(301\) 14.2964 4.19779i 0.824028 0.241956i
\(302\) 12.6671 10.9761i 0.728912 0.631606i
\(303\) 0.655542 + 1.02004i 0.0376599 + 0.0585999i
\(304\) −0.853275 5.93466i −0.0489387 0.340376i
\(305\) 3.98037 1.26544i 0.227915 0.0724589i
\(306\) 3.77165 8.25875i 0.215611 0.472121i
\(307\) −15.4098 13.3526i −0.879482 0.762075i 0.0928499 0.995680i \(-0.470402\pi\)
−0.972332 + 0.233605i \(0.924948\pi\)
\(308\) −11.7179 1.68478i −0.667689 0.0959992i
\(309\) 2.23803 + 4.90059i 0.127317 + 0.278785i
\(310\) 0.0738688 + 0.109514i 0.00419546 + 0.00621999i
\(311\) 18.1903 + 5.34115i 1.03148 + 0.302869i 0.753311 0.657664i \(-0.228455\pi\)
0.278166 + 0.960533i \(0.410274\pi\)
\(312\) 2.94749 1.34607i 0.166869 0.0762064i
\(313\) −18.8059 2.70388i −1.06297 0.152832i −0.411427 0.911443i \(-0.634970\pi\)
−0.651544 + 0.758610i \(0.725879\pi\)
\(314\) −4.58061 + 5.28631i −0.258499 + 0.298324i
\(315\) −14.7785 + 7.15006i −0.832675 + 0.402860i
\(316\) 5.11389 + 3.28650i 0.287679 + 0.184880i
\(317\) −6.25125 + 0.898794i −0.351105 + 0.0504813i −0.315611 0.948889i \(-0.602210\pi\)
−0.0354940 + 0.999370i \(0.511300\pi\)
\(318\) −6.26331 9.74589i −0.351229 0.546523i
\(319\) 2.20441 + 2.54403i 0.123424 + 0.142438i
\(320\) 0.883483 2.05413i 0.0493882 0.114829i
\(321\) −18.4879 −1.03190
\(322\) 6.68989 23.9470i 0.372813 1.33451i
\(323\) 38.4393i 2.13882i
\(324\) −2.63479 + 0.773644i −0.146377 + 0.0429802i
\(325\) 10.0941 + 7.98995i 0.559919 + 0.443203i
\(326\) −13.0883 + 8.41131i −0.724891 + 0.465859i
\(327\) 15.6382 2.24843i 0.864793 0.124338i
\(328\) 6.43400 10.0115i 0.355258 0.552792i
\(329\) −5.42054 + 11.8693i −0.298844 + 0.654377i
\(330\) −1.05556 6.33853i −0.0581065 0.348925i
\(331\) −3.10124 + 21.5696i −0.170460 + 1.18557i 0.707456 + 0.706757i \(0.249843\pi\)
−0.877916 + 0.478815i \(0.841066\pi\)
\(332\) −0.554852 + 0.253393i −0.0304515 + 0.0139067i
\(333\) 1.13714 3.87274i 0.0623149 0.212225i
\(334\) 0.924421 + 0.271435i 0.0505821 + 0.0148522i
\(335\) 2.40756 8.92854i 0.131539 0.487818i
\(336\) −0.928563 + 6.45830i −0.0506573 + 0.352329i
\(337\) 5.28719 + 4.58138i 0.288012 + 0.249563i 0.786868 0.617121i \(-0.211701\pi\)
−0.498857 + 0.866685i \(0.666247\pi\)
\(338\) 5.79508 + 2.64653i 0.315211 + 0.143952i
\(339\) 9.47029 + 6.08618i 0.514355 + 0.330556i
\(340\) 7.48070 12.2292i 0.405698 0.663224i
\(341\) −0.113482 + 0.0729304i −0.00614539 + 0.00394940i
\(342\) 6.41695 5.56031i 0.346989 0.300667i
\(343\) −18.8113 64.0655i −1.01572 3.45921i
\(344\) −2.87394 −0.154953
\(345\) 13.4875 0.477638i 0.726145 0.0257152i
\(346\) 7.40820 0.398267
\(347\) 4.65039 + 15.8378i 0.249646 + 0.850216i 0.985003 + 0.172536i \(0.0551962\pi\)
−0.735357 + 0.677680i \(0.762986\pi\)
\(348\) 1.40214 1.21496i 0.0751625 0.0651287i
\(349\) 16.0887 10.3396i 0.861206 0.553464i −0.0338450 0.999427i \(-0.510775\pi\)
0.895051 + 0.445964i \(0.147139\pi\)
\(350\) −24.5234 + 8.40076i −1.31083 + 0.449039i
\(351\) 12.0381 + 7.73642i 0.642546 + 0.412939i
\(352\) 2.07708 + 0.948571i 0.110709 + 0.0505590i
\(353\) −10.3411 8.96065i −0.550404 0.476927i 0.334698 0.942325i \(-0.391366\pi\)
−0.885102 + 0.465398i \(0.845911\pi\)
\(354\) −1.98249 + 13.7885i −0.105368 + 0.732851i
\(355\) −5.64069 1.52100i −0.299377 0.0807262i
\(356\) −1.84676 0.542257i −0.0978779 0.0287395i
\(357\) −11.7852 + 40.1366i −0.623737 + 2.12425i
\(358\) 3.34020 1.52542i 0.176535 0.0806209i
\(359\) −3.09393 + 21.5187i −0.163291 + 1.13571i 0.729085 + 0.684423i \(0.239946\pi\)
−0.892376 + 0.451292i \(0.850963\pi\)
\(360\) 3.12361 0.520175i 0.164629 0.0274156i
\(361\) 7.04055 15.4167i 0.370555 0.811403i
\(362\) 2.76537 4.30300i 0.145345 0.226161i
\(363\) −7.20755 + 1.03629i −0.378298 + 0.0543911i
\(364\) 11.2296 7.21680i 0.588589 0.378263i
\(365\) −0.350946 15.7942i −0.0183693 0.826708i
\(366\) 2.25551 0.662276i 0.117897 0.0346177i
\(367\) 1.23164i 0.0642910i 0.999483 + 0.0321455i \(0.0102340\pi\)
−0.999483 + 0.0321455i \(0.989766\pi\)
\(368\) −2.53941 + 4.06834i −0.132376 + 0.212077i
\(369\) 16.8533 0.877345
\(370\) 2.51804 5.85455i 0.130907 0.304363i
\(371\) −31.2531 36.0680i −1.62258 1.87256i
\(372\) 0.0401955 + 0.0625454i 0.00208404 + 0.00324283i
\(373\) −1.37341 + 0.197466i −0.0711124 + 0.0102244i −0.177779 0.984070i \(-0.556891\pi\)
0.106667 + 0.994295i \(0.465982\pi\)
\(374\) 12.3155 + 7.91468i 0.636819 + 0.409258i
\(375\) −8.37855 11.3040i −0.432667 0.583735i
\(376\) 1.64818 1.90210i 0.0849983 0.0980933i
\(377\) −3.75703 0.540179i −0.193497 0.0278206i
\(378\) −26.2103 + 11.9698i −1.34811 + 0.615662i
\(379\) −20.3174 5.96573i −1.04364 0.306439i −0.285392 0.958411i \(-0.592124\pi\)
−0.758243 + 0.651972i \(0.773942\pi\)
\(380\) 11.1147 7.49700i 0.570171 0.384588i
\(381\) −7.45306 16.3199i −0.381832 0.836095i
\(382\) −15.7615 2.26616i −0.806427 0.115947i
\(383\) 2.48962 + 2.15726i 0.127213 + 0.110231i 0.716144 0.697953i \(-0.245905\pi\)
−0.588931 + 0.808184i \(0.700451\pi\)
\(384\) 0.522803 1.14478i 0.0266792 0.0584193i
\(385\) −8.02026 25.2272i −0.408750 1.28570i
\(386\) −2.33400 16.2334i −0.118798 0.826256i
\(387\) −2.20038 3.42386i −0.111852 0.174045i
\(388\) −4.12529 + 3.57459i −0.209430 + 0.181472i
\(389\) −19.1664 + 5.62777i −0.971777 + 0.285339i −0.728826 0.684699i \(-0.759934\pi\)
−0.242951 + 0.970039i \(0.578115\pi\)
\(390\) 5.57988 + 4.62201i 0.282548 + 0.234045i
\(391\) −19.8269 + 23.5003i −1.00269 + 1.18846i
\(392\) 19.8789i 1.00403i
\(393\) 2.41763 + 8.23369i 0.121953 + 0.415335i
\(394\) −5.96229 6.88085i −0.300376 0.346652i
\(395\) −1.63510 + 13.4941i −0.0822708 + 0.678963i
\(396\) 0.460203 + 3.20078i 0.0231261 + 0.160845i
\(397\) 5.40887 8.41637i 0.271463 0.422405i −0.678578 0.734528i \(-0.737404\pi\)
0.950042 + 0.312123i \(0.101040\pi\)
\(398\) −21.5735 9.85227i −1.08138 0.493849i
\(399\) −25.6182 + 29.5650i −1.28252 + 1.48010i
\(400\) 4.99507 0.222089i 0.249753 0.0111045i
\(401\) 4.05546 + 8.88023i 0.202520 + 0.443457i 0.983454 0.181156i \(-0.0579839\pi\)
−0.780934 + 0.624613i \(0.785257\pi\)
\(402\) 1.46632 4.99384i 0.0731336 0.249070i
\(403\) 0.0428529 0.145943i 0.00213465 0.00726996i
\(404\) −0.400238 0.876398i −0.0199126 0.0436024i
\(405\) −4.12313 4.55006i −0.204880 0.226094i
\(406\) 5.00508 5.77617i 0.248398 0.286667i
\(407\) 5.91995 + 2.70355i 0.293441 + 0.134010i
\(408\) 4.36216 6.78766i 0.215959 0.336039i
\(409\) −3.17875 22.1087i −0.157179 1.09321i −0.903800 0.427955i \(-0.859234\pi\)
0.746621 0.665250i \(-0.231675\pi\)
\(410\) 26.4175 + 3.20105i 1.30467 + 0.158088i
\(411\) −5.23398 6.04033i −0.258173 0.297948i
\(412\) −1.20605 4.10742i −0.0594176 0.202358i
\(413\) 57.3865i 2.82380i
\(414\) −6.79106 + 0.0895267i −0.333763 + 0.00440000i
\(415\) −1.05039 0.870075i −0.0515615 0.0427103i
\(416\) −2.47043 + 0.725383i −0.121123 + 0.0355648i
\(417\) 3.94933 3.42211i 0.193399 0.167582i
\(418\) 7.40176 + 11.5174i 0.362032 + 0.563333i
\(419\) 2.15594 + 14.9949i 0.105325 + 0.732549i 0.972222 + 0.234062i \(0.0752017\pi\)
−0.866897 + 0.498487i \(0.833889\pi\)
\(420\) −13.9039 + 4.42035i −0.678443 + 0.215691i
\(421\) 5.95606 13.0420i 0.290281 0.635626i −0.707166 0.707048i \(-0.750026\pi\)
0.997446 + 0.0714221i \(0.0227537\pi\)
\(422\) −1.98321 1.71846i −0.0965410 0.0836532i
\(423\) 3.52796 + 0.507244i 0.171535 + 0.0246631i
\(424\) 3.82403 + 8.37345i 0.185711 + 0.406651i
\(425\) 31.9009 + 3.14816i 1.54742 + 0.152708i
\(426\) −3.15491 0.926364i −0.152856 0.0448825i
\(427\) 8.80881 4.02285i 0.426288 0.194679i
\(428\) 14.5408 + 2.09066i 0.702858 + 0.101056i
\(429\) −4.84533 + 5.59180i −0.233935 + 0.269975i
\(430\) −2.79879 5.78485i −0.134970 0.278970i
\(431\) 16.9948 + 10.9219i 0.818610 + 0.526089i 0.881640 0.471923i \(-0.156440\pi\)
−0.0630297 + 0.998012i \(0.520076\pi\)
\(432\) 5.50120 0.790953i 0.264677 0.0380547i
\(433\) 8.01987 + 12.4792i 0.385411 + 0.599711i 0.978704 0.205276i \(-0.0658091\pi\)
−0.593294 + 0.804986i \(0.702173\pi\)
\(434\) 0.200570 + 0.231470i 0.00962768 + 0.0111109i
\(435\) 3.81102 + 1.63912i 0.182724 + 0.0785898i
\(436\) −12.5537 −0.601215
\(437\) −25.9961 + 12.2887i −1.24356 + 0.587849i
\(438\) 8.89153i 0.424854i
\(439\) 23.8354 6.99872i 1.13760 0.334031i 0.341912 0.939732i \(-0.388926\pi\)
0.795692 + 0.605701i \(0.207107\pi\)
\(440\) 0.113425 + 5.10464i 0.00540730 + 0.243354i
\(441\) −23.6826 + 15.2199i −1.12774 + 0.724757i
\(442\) −16.3390 + 2.34919i −0.777165 + 0.111739i
\(443\) 0.857306 1.33399i 0.0407318 0.0633800i −0.820291 0.571947i \(-0.806188\pi\)
0.861022 + 0.508567i \(0.169825\pi\)
\(444\) 1.49006 3.26277i 0.0707150 0.154844i
\(445\) −0.706978 4.24534i −0.0335140 0.201249i
\(446\) 2.04889 14.2504i 0.0970179 0.674775i
\(447\) −8.08747 + 3.69342i −0.382524 + 0.174693i
\(448\) 1.46064 4.97447i 0.0690086 0.235022i
\(449\) 28.5778 + 8.39119i 1.34867 + 0.396005i 0.874755 0.484566i \(-0.161023\pi\)
0.473914 + 0.880571i \(0.342841\pi\)
\(450\) 4.08897 + 5.78082i 0.192756 + 0.272511i
\(451\) −3.86732 + 26.8978i −0.182105 + 1.26657i
\(452\) −6.76018 5.85773i −0.317972 0.275524i
\(453\) 19.1877 + 8.76272i 0.901516 + 0.411709i
\(454\) 2.07785 + 1.33535i 0.0975183 + 0.0626712i
\(455\) 25.4623 + 15.5755i 1.19369 + 0.730189i
\(456\) 6.34778 4.07947i 0.297262 0.191039i
\(457\) 24.0354 20.8268i 1.12433 0.974235i 0.124489 0.992221i \(-0.460271\pi\)
0.999838 + 0.0179862i \(0.00572549\pi\)
\(458\) 6.87379 + 23.4100i 0.321191 + 1.09388i
\(459\) 35.6318 1.66315
\(460\) −10.6620 1.14954i −0.497119 0.0535974i
\(461\) −4.24198 −0.197569 −0.0987843 0.995109i \(-0.531495\pi\)
−0.0987843 + 0.995109i \(0.531495\pi\)
\(462\) −4.19745 14.2952i −0.195283 0.665074i
\(463\) 15.4907 13.4227i 0.719912 0.623807i −0.215855 0.976425i \(-0.569254\pi\)
0.935767 + 0.352618i \(0.114709\pi\)
\(464\) −1.24018 + 0.797013i −0.0575738 + 0.0370004i
\(465\) −0.0867508 + 0.141818i −0.00402297 + 0.00657664i
\(466\) −17.3195 11.1306i −0.802310 0.515614i
\(467\) 28.8610 + 13.1804i 1.33553 + 0.609915i 0.949847 0.312716i \(-0.101239\pi\)
0.385682 + 0.922632i \(0.373966\pi\)
\(468\) −2.75562 2.38776i −0.127379 0.110374i
\(469\) 3.05135 21.2226i 0.140898 0.979969i
\(470\) 5.43374 + 1.46519i 0.250640 + 0.0675844i
\(471\) −8.44641 2.48009i −0.389190 0.114277i
\(472\) 3.11847 10.6205i 0.143539 0.488849i
\(473\) 5.96941 2.72614i 0.274474 0.125348i
\(474\) −1.08876 + 7.57247i −0.0500082 + 0.347815i
\(475\) 25.9145 + 15.0714i 1.18904 + 0.691522i
\(476\) 13.8078 30.2349i 0.632880 1.38581i
\(477\) −7.04789 + 10.9667i −0.322701 + 0.502132i
\(478\) 3.07743 0.442468i 0.140758 0.0202380i
\(479\) −11.7958 + 7.58073i −0.538966 + 0.346372i −0.781634 0.623737i \(-0.785614\pi\)
0.242669 + 0.970109i \(0.421977\pi\)
\(480\) 2.81341 0.0625137i 0.128414 0.00285335i
\(481\) −7.04105 + 2.06744i −0.321044 + 0.0942671i
\(482\) 10.2871i 0.468563i
\(483\) 30.9115 4.86113i 1.40652 0.221189i
\(484\) 5.78595 0.262998
\(485\) −11.2126 4.82253i −0.509137 0.218980i
\(486\) 8.65557 + 9.98906i 0.392624 + 0.453113i
\(487\) 10.0725 + 15.6731i 0.456427 + 0.710214i 0.990845 0.135006i \(-0.0431054\pi\)
−0.534418 + 0.845221i \(0.679469\pi\)
\(488\) −1.84886 + 0.265825i −0.0836938 + 0.0120333i
\(489\) −16.4717 10.5857i −0.744875 0.478702i
\(490\) −40.0134 + 19.3590i −1.80762 + 0.874552i
\(491\) 4.84920 5.59627i 0.218841 0.252556i −0.635704 0.771933i \(-0.719290\pi\)
0.854546 + 0.519376i \(0.173836\pi\)
\(492\) 14.8247 + 2.13147i 0.668348 + 0.0960939i
\(493\) −8.59725 + 3.92623i −0.387201 + 0.176829i
\(494\) −14.8119 4.34917i −0.666419 0.195678i
\(495\) −5.99456 + 4.04341i −0.269436 + 0.181738i
\(496\) −0.0245411 0.0537376i −0.00110193 0.00241289i
\(497\) −13.4076 1.92772i −0.601413 0.0864701i
\(498\) −0.580157 0.502709i −0.0259975 0.0225269i
\(499\) 4.72459 10.3454i 0.211502 0.463124i −0.773914 0.633291i \(-0.781704\pi\)
0.985415 + 0.170167i \(0.0544308\pi\)
\(500\) 5.31148 + 9.83810i 0.237537 + 0.439973i
\(501\) 0.172558 + 1.20017i 0.00770931 + 0.0536194i
\(502\) 7.20252 + 11.2073i 0.321464 + 0.500208i
\(503\) −20.6382 + 17.8831i −0.920212 + 0.797368i −0.979619 0.200866i \(-0.935624\pi\)
0.0594070 + 0.998234i \(0.481079\pi\)
\(504\) 7.04464 2.06849i 0.313793 0.0921380i
\(505\) 1.37430 1.65910i 0.0611554 0.0738292i
\(506\) 1.41546 10.8591i 0.0629249 0.482745i
\(507\) 8.01770i 0.356079i
\(508\) 4.01637 + 13.6785i 0.178198 + 0.606885i
\(509\) 10.3925 + 11.9936i 0.460639 + 0.531606i 0.937784 0.347218i \(-0.112874\pi\)
−0.477145 + 0.878825i \(0.658328\pi\)
\(510\) 17.9107 + 2.17026i 0.793100 + 0.0961009i
\(511\) −5.21286 36.2562i −0.230603 1.60388i
\(512\) −0.540641 + 0.841254i −0.0238932 + 0.0371785i
\(513\) 30.3113 + 13.8427i 1.33828 + 0.611171i
\(514\) −2.69997 + 3.11593i −0.119091 + 0.137438i
\(515\) 7.09316 6.42762i 0.312562 0.283235i
\(516\) −1.50251 3.29003i −0.0661441 0.144835i
\(517\) −1.61912 + 5.51423i −0.0712089 + 0.242515i
\(518\) 4.16301 14.1779i 0.182912 0.622942i
\(519\) 3.87303 + 8.48076i 0.170007 + 0.372264i
\(520\) −3.86593 4.26622i −0.169532 0.187086i
\(521\) −7.20928 + 8.31996i −0.315844 + 0.364504i −0.891367 0.453282i \(-0.850253\pi\)
0.575523 + 0.817786i \(0.304799\pi\)
\(522\) −1.89904 0.867263i −0.0831187 0.0379591i
\(523\) −7.23208 + 11.2533i −0.316237 + 0.492074i −0.962589 0.270965i \(-0.912657\pi\)
0.646352 + 0.763039i \(0.276294\pi\)
\(524\) −0.970392 6.74922i −0.0423918 0.294841i
\(525\) −22.4379 23.6820i −0.979272 1.03357i
\(526\) −6.40019 7.38621i −0.279061 0.322054i
\(527\) −0.106705 0.363405i −0.00464816 0.0158302i
\(528\) 2.87371i 0.125062i
\(529\) 22.2315 + 5.89584i 0.966586 + 0.256341i
\(530\) −13.1306 + 15.8517i −0.570356 + 0.688555i
\(531\) 15.0403 4.41624i 0.652695 0.191649i
\(532\) 23.4921 20.3560i 1.01851 0.882546i
\(533\) −16.5658 25.7768i −0.717543 1.11652i
\(534\) −0.344726 2.39762i −0.0149178 0.103755i
\(535\) 9.95241 + 31.3047i 0.430280 + 1.35342i
\(536\) −1.71798 + 3.76186i −0.0742056 + 0.162488i
\(537\) 3.49254 + 3.02630i 0.150714 + 0.130595i
\(538\) −23.1834 3.33327i −0.999507 0.143707i
\(539\) −18.8565 41.2900i −0.812207 1.77848i
\(540\) 6.94943 + 10.3029i 0.299056 + 0.443366i
\(541\) −25.6122 7.52043i −1.10116 0.323328i −0.319844 0.947470i \(-0.603631\pi\)
−0.781311 + 0.624142i \(0.785449\pi\)
\(542\) 2.53239 1.15650i 0.108775 0.0496761i
\(543\) 6.37173 + 0.916116i 0.273437 + 0.0393143i
\(544\) −4.19842 + 4.84524i −0.180006 + 0.207738i
\(545\) −12.2255 25.2689i −0.523682 1.08240i
\(546\) 14.1325 + 9.08240i 0.604815 + 0.388691i
\(547\) −20.1556 + 2.89794i −0.861791 + 0.123907i −0.559018 0.829156i \(-0.688822\pi\)
−0.302774 + 0.953063i \(0.597913\pi\)
\(548\) 3.43349 + 5.34262i 0.146671 + 0.228225i
\(549\) −1.73223 1.99911i −0.0739300 0.0853198i
\(550\) −10.1645 + 5.19947i −0.433415 + 0.221706i
\(551\) −8.83885 −0.376548
\(552\) −5.98496 0.780129i −0.254737 0.0332045i
\(553\) 31.5159i 1.34019i
\(554\) −4.93639 + 1.44946i −0.209727 + 0.0615815i
\(555\) 8.01861 0.178172i 0.340371 0.00756300i
\(556\) −3.49314 + 2.24491i −0.148142 + 0.0952052i
\(557\) −13.8849 + 1.99635i −0.588322 + 0.0845880i −0.430046 0.902807i \(-0.641503\pi\)
−0.158276 + 0.987395i \(0.550594\pi\)
\(558\) 0.0452306 0.0703802i 0.00191477 0.00297943i
\(559\) −3.07391 + 6.73092i −0.130012 + 0.284687i
\(560\) 11.4354 1.90433i 0.483233 0.0804728i
\(561\) −2.62199 + 18.2363i −0.110700 + 0.769938i
\(562\) 21.4413 9.79193i 0.904448 0.413048i
\(563\) −0.372801 + 1.26964i −0.0157117 + 0.0535091i −0.966976 0.254868i \(-0.917968\pi\)
0.951264 + 0.308378i \(0.0997860\pi\)
\(564\) 3.03916 + 0.892377i 0.127972 + 0.0375758i
\(565\) 5.20739 19.3119i 0.219077 0.812456i
\(566\) 3.39418 23.6071i 0.142668 0.992278i
\(567\) −10.7594 9.32306i −0.451852 0.391532i
\(568\) 2.37659 + 1.08535i 0.0997195 + 0.0455404i
\(569\) 1.89726 + 1.21930i 0.0795375 + 0.0511156i 0.579805 0.814755i \(-0.303129\pi\)
−0.500268 + 0.865871i \(0.666765\pi\)
\(570\) 14.3932 + 8.80441i 0.602865 + 0.368776i
\(571\) 23.7275 15.2487i 0.992965 0.638140i 0.0600344 0.998196i \(-0.480879\pi\)
0.932930 + 0.360057i \(0.117243\pi\)
\(572\) 4.44320 3.85006i 0.185780 0.160979i
\(573\) −5.64590 19.2282i −0.235861 0.803268i
\(574\) 61.6989 2.57526
\(575\) −8.06936 22.5806i −0.336515 0.941678i
\(576\) −1.41616 −0.0590066
\(577\) 10.0441 + 34.2072i 0.418143 + 1.42407i 0.852217 + 0.523188i \(0.175257\pi\)
−0.434074 + 0.900877i \(0.642924\pi\)
\(578\) −18.2159 + 15.7841i −0.757681 + 0.656534i
\(579\) 17.3634 11.1588i 0.721598 0.463743i
\(580\) −2.81203 1.72013i −0.116763 0.0714246i
\(581\) −2.66038 1.70972i −0.110371 0.0709313i
\(582\) −6.24883 2.85374i −0.259022 0.118291i
\(583\) −15.8856 13.7650i −0.657915 0.570087i
\(584\) −1.00547 + 6.99322i −0.0416068 + 0.289382i
\(585\) 2.12267 7.87202i 0.0877615 0.325468i
\(586\) 1.01284 + 0.297398i 0.0418402 + 0.0122854i
\(587\) 11.1756 38.0606i 0.461267 1.57093i −0.320430 0.947272i \(-0.603827\pi\)
0.781697 0.623659i \(-0.214354\pi\)
\(588\) −22.7569 + 10.3927i −0.938479 + 0.428589i
\(589\) 0.0504082 0.350597i 0.00207703 0.0144461i
\(590\) 24.4146 4.06577i 1.00513 0.167385i
\(591\) 4.75995 10.4228i 0.195798 0.428738i
\(592\) −1.54090 + 2.39768i −0.0633305 + 0.0985442i
\(593\) −33.5886 + 4.82930i −1.37932 + 0.198316i −0.791743 0.610855i \(-0.790826\pi\)
−0.587574 + 0.809171i \(0.699917\pi\)
\(594\) −10.6762 + 6.86115i −0.438048 + 0.281516i
\(595\) 74.3054 1.65106i 3.04622 0.0676867i
\(596\) 6.77849 1.99034i 0.277658 0.0815276i
\(597\) 29.8476i 1.22158i
\(598\) 6.81215 + 10.2988i 0.278569 + 0.421151i
\(599\) 7.55512 0.308694 0.154347 0.988017i \(-0.450673\pi\)
0.154347 + 0.988017i \(0.450673\pi\)
\(600\) 2.86568 + 5.60214i 0.116991 + 0.228706i
\(601\) 6.29242 + 7.26184i 0.256673 + 0.296217i 0.869431 0.494054i \(-0.164485\pi\)
−0.612758 + 0.790270i \(0.709940\pi\)
\(602\) −8.05549 12.5346i −0.328317 0.510872i
\(603\) −5.79703 + 0.833486i −0.236073 + 0.0339422i
\(604\) −14.1003 9.06170i −0.573732 0.368715i
\(605\) 5.63465 + 11.6463i 0.229081 + 0.473490i
\(606\) 0.794037 0.916367i 0.0322555 0.0372249i
\(607\) 0.952905 + 0.137007i 0.0386772 + 0.00556094i 0.161626 0.986852i \(-0.448326\pi\)
−0.122949 + 0.992413i \(0.539235\pi\)
\(608\) −5.45387 + 2.49070i −0.221184 + 0.101011i
\(609\) 9.22911 + 2.70991i 0.373983 + 0.109811i
\(610\) −2.33558 3.46262i −0.0945649 0.140197i
\(611\) −2.69196 5.89456i −0.108905 0.238468i
\(612\) −8.98681 1.29211i −0.363270 0.0522304i
\(613\) −10.0312 8.69205i −0.405155 0.351068i 0.428319 0.903628i \(-0.359106\pi\)
−0.833474 + 0.552559i \(0.813651\pi\)
\(614\) −8.47033 + 18.5474i −0.341835 + 0.748513i
\(615\) 10.1467 + 31.9157i 0.409153 + 1.28697i
\(616\) 1.68478 + 11.7179i 0.0678817 + 0.472128i
\(617\) −25.3109 39.3845i −1.01898 1.58556i −0.790926 0.611912i \(-0.790401\pi\)
−0.228053 0.973649i \(-0.573236\pi\)
\(618\) 4.07156 3.52803i 0.163782 0.141918i
\(619\) −44.9233 + 13.1907i −1.80562 + 0.530178i −0.998210 0.0598105i \(-0.980950\pi\)
−0.807411 + 0.589989i \(0.799132\pi\)
\(620\) 0.0842669 0.101730i 0.00338424 0.00408559i
\(621\) −11.3912 24.0974i −0.457112 0.966995i
\(622\) 18.9582i 0.760156i
\(623\) −2.81132 9.57448i −0.112633 0.383593i
\(624\) −2.12195 2.44886i −0.0849460 0.0980330i
\(625\) −14.6301 + 20.2721i −0.585205 + 0.810885i
\(626\) 2.70388 + 18.8059i 0.108069 + 0.751634i
\(627\) −9.31518 + 14.4947i −0.372012 + 0.578863i
\(628\) 6.36268 + 2.90574i 0.253899 + 0.115952i
\(629\) −11.9661 + 13.8096i −0.477118 + 0.550623i
\(630\) 11.0240 + 12.1655i 0.439208 + 0.484685i
\(631\) −9.16538 20.0694i −0.364868 0.798950i −0.999655 0.0262625i \(-0.991639\pi\)
0.634787 0.772687i \(-0.281088\pi\)
\(632\) 1.71262 5.83266i 0.0681245 0.232011i
\(633\) 0.930429 3.16875i 0.0369812 0.125946i
\(634\) 2.62357 + 5.74481i 0.104195 + 0.228156i
\(635\) −23.6216 + 21.4052i −0.937394 + 0.849440i
\(636\) −7.58654 + 8.75533i −0.300826 + 0.347172i
\(637\) 46.5573 + 21.2620i 1.84467 + 0.842431i
\(638\) 1.81992 2.83186i 0.0720515 0.112114i
\(639\) 0.526563 + 3.66233i 0.0208305 + 0.144879i
\(640\) −2.21983 0.268980i −0.0877465 0.0106324i
\(641\) −13.2573 15.2998i −0.523633 0.604305i 0.430904 0.902398i \(-0.358195\pi\)
−0.954537 + 0.298093i \(0.903649\pi\)
\(642\) 5.20866 + 17.7391i 0.205569 + 0.700105i
\(643\) 3.05833i 0.120609i 0.998180 + 0.0603043i \(0.0192071\pi\)
−0.998180 + 0.0603043i \(0.980793\pi\)
\(644\) −24.8617 + 0.327753i −0.979690 + 0.0129153i
\(645\) 5.15916 6.22834i 0.203142 0.245240i
\(646\) −36.8823 + 10.8296i −1.45111 + 0.426085i
\(647\) −18.0228 + 15.6169i −0.708550 + 0.613962i −0.932726 0.360587i \(-0.882577\pi\)
0.224176 + 0.974549i \(0.428031\pi\)
\(648\) 1.48461 + 2.31010i 0.0583211 + 0.0907494i
\(649\) 3.59701 + 25.0178i 0.141195 + 0.982034i
\(650\) 4.82247 11.9362i 0.189153 0.468178i
\(651\) −0.160124 + 0.350622i −0.00627574 + 0.0137420i
\(652\) 11.7580 + 10.1883i 0.460478 + 0.399006i
\(653\) −39.6254 5.69727i −1.55066 0.222951i −0.686861 0.726788i \(-0.741012\pi\)
−0.863799 + 0.503837i \(0.831921\pi\)
\(654\) −6.56313 14.3713i −0.256639 0.561961i
\(655\) 12.6402 8.52600i 0.493895 0.333139i
\(656\) −11.4186 3.35281i −0.445823 0.130905i
\(657\) −9.10119 + 4.15637i −0.355071 + 0.162156i
\(658\) 12.9157 + 1.85699i 0.503506 + 0.0723932i
\(659\) −7.98515 + 9.21535i −0.311057 + 0.358979i −0.889655 0.456634i \(-0.849055\pi\)
0.578597 + 0.815613i \(0.303600\pi\)
\(660\) −5.78439 + 2.79857i −0.225157 + 0.108934i
\(661\) −11.2131 7.20620i −0.436138 0.280289i 0.304092 0.952643i \(-0.401647\pi\)
−0.740230 + 0.672354i \(0.765283\pi\)
\(662\) 21.5696 3.10124i 0.838327 0.120533i
\(663\) −11.2314 17.4763i −0.436190 0.678725i
\(664\) 0.399448 + 0.460988i 0.0155016 + 0.0178898i
\(665\) 63.8517 + 27.4626i 2.47606 + 1.06496i
\(666\) −4.03624 −0.156401
\(667\) 5.40373 + 4.55904i 0.209233 + 0.176527i
\(668\) 0.963448i 0.0372769i
\(669\) 17.3847 5.10461i 0.672131 0.197356i
\(670\) −9.24516 + 0.205426i −0.357172 + 0.00793631i
\(671\) 3.58807 2.30591i 0.138516 0.0890187i
\(672\) 6.45830 0.928563i 0.249134 0.0358201i
\(673\) 21.1368 32.8895i 0.814764 1.26780i −0.145682 0.989332i \(-0.546538\pi\)
0.960446 0.278467i \(-0.0898261\pi\)
\(674\) 2.90622 6.36374i 0.111944 0.245122i
\(675\) −13.9706 + 24.0217i −0.537728 + 0.924596i
\(676\) 0.906660 6.30596i 0.0348715 0.242537i
\(677\) 30.5911 13.9705i 1.17571 0.536929i 0.270843 0.962624i \(-0.412698\pi\)
0.904867 + 0.425695i \(0.139970\pi\)
\(678\) 3.17156 10.8013i 0.121803 0.414823i
\(679\) −27.1534 7.97295i −1.04205 0.305974i
\(680\) −13.8414 3.73230i −0.530795 0.143127i
\(681\) −0.442378 + 3.07680i −0.0169519 + 0.117903i
\(682\) 0.101948 + 0.0883382i 0.00390378 + 0.00338265i
\(683\) 16.8684 + 7.70352i 0.645450 + 0.294767i 0.711116 0.703075i \(-0.248190\pi\)
−0.0656664 + 0.997842i \(0.520917\pi\)
\(684\) −7.14295 4.59049i −0.273117 0.175522i
\(685\) −7.41024 + 12.1141i −0.283131 + 0.462854i
\(686\) −56.1706 + 36.0987i −2.14461 + 1.37825i
\(687\) −23.2056 + 20.1078i −0.885350 + 0.767160i
\(688\) 0.809683 + 2.75753i 0.0308689 + 0.105130i
\(689\) 23.7011 0.902942
\(690\) −4.25817 12.8066i −0.162106 0.487540i
\(691\) −20.4901 −0.779479 −0.389739 0.920925i \(-0.627435\pi\)
−0.389739 + 0.920925i \(0.627435\pi\)
\(692\) −2.08713 7.10812i −0.0793408 0.270210i
\(693\) −12.6702 + 10.9788i −0.481300 + 0.417049i
\(694\) 13.8861 8.92403i 0.527108 0.338752i
\(695\) −7.92048 4.84501i −0.300441 0.183782i
\(696\) −1.56077 1.00305i −0.0591609 0.0380204i
\(697\) −69.4025 31.6950i −2.62881 1.20054i
\(698\) −14.4534 12.5240i −0.547070 0.474039i
\(699\) 3.68735 25.6461i 0.139468 0.970024i
\(700\) 14.9695 + 21.1633i 0.565794 + 0.799897i
\(701\) −17.1244 5.02818i −0.646780 0.189912i −0.0581418 0.998308i \(-0.518518\pi\)
−0.588638 + 0.808397i \(0.700336\pi\)
\(702\) 4.03151 13.7301i 0.152160 0.518208i
\(703\) −15.5442 + 7.09882i −0.586262 + 0.267737i
\(704\) 0.324966 2.26019i 0.0122476 0.0851840i
\(705\) 1.16345 + 6.98644i 0.0438182 + 0.263125i
\(706\) −5.68425 + 12.4468i −0.213929 + 0.468440i
\(707\) 2.70054 4.20211i 0.101564 0.158037i
\(708\) 13.7885 1.98249i 0.518204 0.0745065i
\(709\) −29.6320 + 19.0433i −1.11285 + 0.715188i −0.961913 0.273355i \(-0.911867\pi\)
−0.150940 + 0.988543i \(0.548230\pi\)
\(710\) 0.129780 + 5.84072i 0.00487056 + 0.219198i
\(711\) 8.25996 2.42534i 0.309773 0.0909575i
\(712\) 1.92472i 0.0721320i
\(713\) −0.211654 + 0.188341i −0.00792651 + 0.00705343i
\(714\) 41.8310 1.56549
\(715\) 12.0766 + 5.19417i 0.451641 + 0.194251i
\(716\) −2.40467 2.77514i −0.0898669 0.103712i
\(717\) 2.11542 + 3.29166i 0.0790018 + 0.122929i
\(718\) 21.5187 3.09393i 0.803072 0.115464i
\(719\) 4.54145 + 2.91862i 0.169368 + 0.108846i 0.622578 0.782557i \(-0.286085\pi\)
−0.453211 + 0.891403i \(0.649722\pi\)
\(720\) −1.37913 2.85053i −0.0513970 0.106233i
\(721\) 14.5339 16.7730i 0.541270 0.624659i
\(722\) −16.7757 2.41199i −0.624328 0.0897648i
\(723\) 11.7764 5.37811i 0.437970 0.200014i
\(724\) −4.90779 1.44106i −0.182397 0.0535565i
\(725\) 0.723897 7.33537i 0.0268849 0.272429i
\(726\) 3.02491 + 6.62364i 0.112265 + 0.245826i
\(727\) 35.4857 + 5.10207i 1.31609 + 0.189225i 0.764356 0.644795i \(-0.223057\pi\)
0.551734 + 0.834020i \(0.313966\pi\)
\(728\) −10.0882 8.74148i −0.373894 0.323981i
\(729\) −10.3323 + 22.6246i −0.382679 + 0.837949i
\(730\) −15.0556 + 4.78648i −0.557232 + 0.177156i
\(731\) 2.62220 + 18.2378i 0.0969854 + 0.674549i
\(732\) −1.27090 1.97756i −0.0469738 0.0730926i
\(733\) −19.4711 + 16.8718i −0.719181 + 0.623174i −0.935573 0.353133i \(-0.885116\pi\)
0.216392 + 0.976307i \(0.430571\pi\)
\(734\) 1.18175 0.346993i 0.0436192 0.0128077i
\(735\) −43.0809 35.6855i −1.58906 1.31628i
\(736\) 4.61898 + 1.29037i 0.170258 + 0.0475636i
\(737\) 9.44331i 0.347849i
\(738\) −4.74811 16.1706i −0.174780 0.595247i
\(739\) 13.0349 + 15.0431i 0.479497 + 0.553369i 0.943029 0.332711i \(-0.107963\pi\)
−0.463532 + 0.886080i \(0.653418\pi\)
\(740\) −6.32681 0.766628i −0.232578 0.0281818i
\(741\) −2.76487 19.2301i −0.101570 0.706436i
\(742\) −25.8020 + 40.1487i −0.947220 + 1.47390i
\(743\) 26.9014 + 12.2855i 0.986916 + 0.450710i 0.842435 0.538798i \(-0.181121\pi\)
0.144481 + 0.989508i \(0.453849\pi\)
\(744\) 0.0486875 0.0561883i 0.00178497 0.00205996i
\(745\) 10.6075 + 11.7059i 0.388630 + 0.428870i
\(746\) 0.576401 + 1.26214i 0.0211035 + 0.0462103i
\(747\) −0.243366 + 0.828829i −0.00890431 + 0.0303253i
\(748\) 4.12441 14.0464i 0.150803 0.513589i
\(749\) 31.6388 + 69.2793i 1.15606 + 2.53141i
\(750\) −8.48559 + 11.2239i −0.309850 + 0.409838i
\(751\) −18.5605 + 21.4199i −0.677281 + 0.781624i −0.985497 0.169693i \(-0.945723\pi\)
0.308216 + 0.951316i \(0.400268\pi\)
\(752\) −2.28940 1.04553i −0.0834857 0.0381266i
\(753\) −9.06443 + 14.1045i −0.330326 + 0.513997i
\(754\) 0.540179 + 3.75703i 0.0196722 + 0.136823i
\(755\) 4.50838 37.2067i 0.164077 1.35409i
\(756\) 18.8693 + 21.7763i 0.686268 + 0.791996i
\(757\) 8.44639 + 28.7658i 0.306989 + 1.04551i 0.958078 + 0.286508i \(0.0924945\pi\)
−0.651088 + 0.759002i \(0.725687\pi\)
\(758\) 21.1752i 0.769116i
\(759\) 13.1713 4.05677i 0.478086 0.147251i
\(760\) −10.3247 8.55231i −0.374516 0.310225i
\(761\) 45.2253 13.2794i 1.63942 0.481376i 0.673276 0.739391i \(-0.264886\pi\)
0.966141 + 0.258015i \(0.0830683\pi\)
\(762\) −13.5591 + 11.7490i −0.491194 + 0.425622i
\(763\) −35.1874 54.7527i −1.27387 1.98218i
\(764\) 2.26616 + 15.7615i 0.0819867 + 0.570230i
\(765\) −6.15098 19.3475i −0.222389 0.699511i
\(766\) 1.36847 2.99654i 0.0494450 0.108269i
\(767\) −21.5384 18.6631i −0.777705 0.673886i
\(768\) −1.24570 0.179104i −0.0449503 0.00646287i
\(769\) −18.7135 40.9769i −0.674828 1.47767i −0.868032 0.496508i \(-0.834615\pi\)
0.193204 0.981159i \(-0.438112\pi\)
\(770\) −21.9458 + 14.8027i −0.790871 + 0.533453i
\(771\) −4.97861 1.46185i −0.179300 0.0526473i
\(772\) −14.9182 + 6.81293i −0.536919 + 0.245203i
\(773\)