Properties

Label 225.2.q.a.31.24
Level $225$
Weight $2$
Character 225.31
Analytic conductor $1.797$
Analytic rank $0$
Dimension $224$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 225 = 3^{2} \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 225.q (of order \(15\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.79663404548\)
Analytic rank: \(0\)
Dimension: \(224\)
Relative dimension: \(28\) over \(\Q(\zeta_{15})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label 31.24
Character \(\chi\) \(=\) 225.31
Dual form 225.2.q.a.196.24

$q$-expansion

\(f(q)\) \(=\) \(q+(1.53828 - 1.70844i) q^{2} +(-0.365394 - 1.69307i) q^{3} +(-0.343384 - 3.26708i) q^{4} +(0.322490 + 2.21269i) q^{5} +(-3.45458 - 1.98017i) q^{6} +(-1.62043 - 2.80667i) q^{7} +(-2.39008 - 1.73649i) q^{8} +(-2.73297 + 1.23728i) q^{9} +O(q^{10})\) \(q+(1.53828 - 1.70844i) q^{2} +(-0.365394 - 1.69307i) q^{3} +(-0.343384 - 3.26708i) q^{4} +(0.322490 + 2.21269i) q^{5} +(-3.45458 - 1.98017i) q^{6} +(-1.62043 - 2.80667i) q^{7} +(-2.39008 - 1.73649i) q^{8} +(-2.73297 + 1.23728i) q^{9} +(4.27633 + 2.85279i) q^{10} +(1.30655 - 1.45107i) q^{11} +(-5.40593 + 1.77515i) q^{12} +(2.38463 + 2.64840i) q^{13} +(-7.28770 - 1.54905i) q^{14} +(3.62841 - 1.35450i) q^{15} +(-0.216735 + 0.0460685i) q^{16} +(0.726639 + 0.527934i) q^{17} +(-2.09028 + 6.57240i) q^{18} +(0.733140 + 0.532657i) q^{19} +(7.11830 - 1.81340i) q^{20} +(-4.15979 + 3.76904i) q^{21} +(-0.469217 - 4.46430i) q^{22} +(8.31379 + 1.76715i) q^{23} +(-2.06669 + 4.68108i) q^{24} +(-4.79200 + 1.42714i) q^{25} +8.19288 q^{26} +(3.09341 + 4.17502i) q^{27} +(-8.61318 + 6.25784i) q^{28} +(-6.82216 - 3.03742i) q^{29} +(3.26744 - 8.28251i) q^{30} +(-7.07738 + 3.15105i) q^{31} +(2.69961 - 4.67586i) q^{32} +(-2.93416 - 1.68186i) q^{33} +(2.01972 - 0.429305i) q^{34} +(5.68771 - 4.49063i) q^{35} +(4.98074 + 8.50399i) q^{36} +(-1.33249 + 4.10099i) q^{37} +(2.03779 - 0.433145i) q^{38} +(3.61260 - 5.00507i) q^{39} +(3.07155 - 5.84851i) q^{40} +(3.03574 + 3.37153i) q^{41} +(0.0402345 + 12.9046i) q^{42} +(-0.885445 - 1.53364i) q^{43} +(-5.18939 - 3.77032i) q^{44} +(-3.61907 - 5.64822i) q^{45} +(15.8080 - 11.4852i) q^{46} +(7.06685 + 3.14637i) q^{47} +(0.157191 + 0.350115i) q^{48} +(-1.75159 + 3.03384i) q^{49} +(-4.93328 + 10.3822i) q^{50} +(0.628320 - 1.42316i) q^{51} +(7.83371 - 8.70021i) q^{52} +(5.94096 - 4.31636i) q^{53} +(11.8913 + 1.13748i) q^{54} +(3.63211 + 2.42303i) q^{55} +(-1.00081 + 9.52203i) q^{56} +(0.633941 - 1.43589i) q^{57} +(-15.6837 + 6.98281i) q^{58} +(-9.23740 - 10.2592i) q^{59} +(-5.67120 - 11.3892i) q^{60} +(-4.22089 + 4.68777i) q^{61} +(-5.50365 + 16.9385i) q^{62} +(7.90122 + 5.66563i) q^{63} +(-3.97259 - 12.2264i) q^{64} +(-5.09108 + 6.13054i) q^{65} +(-7.38693 + 2.42565i) q^{66} +(-11.0747 + 4.93079i) q^{67} +(1.47529 - 2.55527i) q^{68} +(-0.0458994 - 14.7215i) q^{69} +(1.07736 - 16.6250i) q^{70} +(-8.02747 + 5.83230i) q^{71} +(8.68055 + 1.78861i) q^{72} +(0.246766 + 0.759468i) q^{73} +(4.95654 + 8.58498i) q^{74} +(4.16722 + 7.59173i) q^{75} +(1.48849 - 2.57813i) q^{76} +(-6.18982 - 1.31569i) q^{77} +(-2.99363 - 13.8711i) q^{78} +(-0.222600 - 0.0991078i) q^{79} +(-0.171830 - 0.464711i) q^{80} +(5.93830 - 6.76289i) q^{81} +10.4299 q^{82} +(-0.483482 + 4.60003i) q^{83} +(13.7422 + 12.2961i) q^{84} +(-0.933822 + 1.77808i) q^{85} +(-3.98219 - 0.846440i) q^{86} +(-2.64979 + 12.6602i) q^{87} +(-5.64252 + 1.19935i) q^{88} +(2.11267 + 6.50212i) q^{89} +(-15.2168 - 2.50562i) q^{90} +(3.56906 - 10.9844i) q^{91} +(2.91860 - 27.7686i) q^{92} +(7.92099 + 10.8311i) q^{93} +(16.2462 - 7.23327i) q^{94} +(-0.942175 + 1.79399i) q^{95} +(-8.90297 - 2.86209i) q^{96} +(-4.33055 - 1.92809i) q^{97} +(2.48869 + 7.65939i) q^{98} +(-1.77539 + 5.58228i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224 q - 3 q^{2} - 8 q^{3} + 23 q^{4} - 8 q^{5} - 10 q^{6} - 8 q^{7} - 20 q^{8} - 8 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 224 q - 3 q^{2} - 8 q^{3} + 23 q^{4} - 8 q^{5} - 10 q^{6} - 8 q^{7} - 20 q^{8} - 8 q^{9} - 20 q^{10} - 11 q^{11} - 4 q^{12} - 3 q^{13} + q^{14} - 48 q^{15} + 23 q^{16} - 24 q^{17} - 12 q^{19} + q^{20} + 15 q^{21} - 11 q^{22} + q^{23} - 30 q^{24} - 16 q^{25} - 136 q^{26} + 7 q^{27} + 4 q^{28} - 15 q^{29} - 24 q^{30} + 3 q^{31} + 12 q^{32} - 5 q^{33} + q^{34} + 14 q^{35} + 38 q^{36} - 24 q^{37} + 55 q^{38} + 20 q^{39} + q^{40} - 19 q^{41} - 38 q^{42} - 8 q^{43} + 4 q^{44} - 38 q^{45} - 20 q^{46} - 10 q^{47} - 25 q^{48} - 72 q^{49} - 3 q^{50} - 26 q^{51} - 25 q^{52} - 12 q^{53} + 53 q^{54} - 20 q^{55} - 60 q^{56} + 38 q^{57} - 23 q^{58} - 30 q^{59} - 33 q^{60} - 3 q^{61} - 44 q^{62} + 46 q^{63} - 44 q^{64} + 51 q^{65} - 134 q^{66} - 12 q^{67} - 156 q^{68} + 4 q^{69} - 16 q^{70} + 42 q^{71} + 74 q^{72} - 12 q^{73} + 90 q^{74} + 67 q^{75} - 8 q^{76} + 31 q^{77} - 92 q^{78} - 15 q^{79} + 298 q^{80} - 104 q^{81} + 8 q^{82} + 59 q^{83} + 115 q^{84} - 11 q^{85} + 9 q^{86} - 59 q^{87} - 23 q^{88} + 106 q^{89} + 107 q^{90} + 30 q^{91} + 11 q^{92} + 32 q^{93} + 25 q^{94} + 7 q^{95} + 35 q^{96} - 21 q^{97} + 146 q^{98} - 20 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{2}{5}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.53828 1.70844i 1.08773 1.20805i 0.110946 0.993826i \(-0.464612\pi\)
0.976785 0.214221i \(-0.0687214\pi\)
\(3\) −0.365394 1.69307i −0.210960 0.977495i
\(4\) −0.343384 3.26708i −0.171692 1.63354i
\(5\) 0.322490 + 2.21269i 0.144222 + 0.989545i
\(6\) −3.45458 1.98017i −1.41033 0.808401i
\(7\) −1.62043 2.80667i −0.612465 1.06082i −0.990824 0.135161i \(-0.956845\pi\)
0.378359 0.925659i \(-0.376489\pi\)
\(8\) −2.39008 1.73649i −0.845021 0.613944i
\(9\) −2.73297 + 1.23728i −0.910991 + 0.412425i
\(10\) 4.27633 + 2.85279i 1.35229 + 0.902132i
\(11\) 1.30655 1.45107i 0.393938 0.437513i −0.513249 0.858240i \(-0.671558\pi\)
0.907187 + 0.420727i \(0.138225\pi\)
\(12\) −5.40593 + 1.77515i −1.56056 + 0.512440i
\(13\) 2.38463 + 2.64840i 0.661379 + 0.734535i 0.976738 0.214437i \(-0.0687917\pi\)
−0.315359 + 0.948972i \(0.602125\pi\)
\(14\) −7.28770 1.54905i −1.94772 0.414001i
\(15\) 3.62841 1.35450i 0.936850 0.349731i
\(16\) −0.216735 + 0.0460685i −0.0541838 + 0.0115171i
\(17\) 0.726639 + 0.527934i 0.176236 + 0.128043i 0.672406 0.740182i \(-0.265261\pi\)
−0.496170 + 0.868225i \(0.665261\pi\)
\(18\) −2.09028 + 6.57240i −0.492684 + 1.54913i
\(19\) 0.733140 + 0.532657i 0.168194 + 0.122200i 0.668698 0.743534i \(-0.266852\pi\)
−0.500504 + 0.865734i \(0.666852\pi\)
\(20\) 7.11830 1.81340i 1.59170 0.405489i
\(21\) −4.15979 + 3.76904i −0.907741 + 0.822472i
\(22\) −0.469217 4.46430i −0.100037 0.951792i
\(23\) 8.31379 + 1.76715i 1.73354 + 0.368476i 0.963124 0.269059i \(-0.0867127\pi\)
0.770421 + 0.637535i \(0.220046\pi\)
\(24\) −2.06669 + 4.68108i −0.421861 + 0.955521i
\(25\) −4.79200 + 1.42714i −0.958400 + 0.285428i
\(26\) 8.19288 1.60676
\(27\) 3.09341 + 4.17502i 0.595327 + 0.803484i
\(28\) −8.61318 + 6.25784i −1.62774 + 1.18262i
\(29\) −6.82216 3.03742i −1.26684 0.564035i −0.340333 0.940305i \(-0.610540\pi\)
−0.926510 + 0.376270i \(0.877206\pi\)
\(30\) 3.26744 8.28251i 0.596549 1.51217i
\(31\) −7.07738 + 3.15105i −1.27114 + 0.565946i −0.927734 0.373243i \(-0.878246\pi\)
−0.343402 + 0.939189i \(0.611579\pi\)
\(32\) 2.69961 4.67586i 0.477228 0.826582i
\(33\) −2.93416 1.68186i −0.510772 0.292775i
\(34\) 2.01972 0.429305i 0.346379 0.0736252i
\(35\) 5.68771 4.49063i 0.961399 0.759055i
\(36\) 4.98074 + 8.50399i 0.830123 + 1.41733i
\(37\) −1.33249 + 4.10099i −0.219061 + 0.674199i 0.779780 + 0.626054i \(0.215331\pi\)
−0.998840 + 0.0481453i \(0.984669\pi\)
\(38\) 2.03779 0.433145i 0.330573 0.0702655i
\(39\) 3.61260 5.00507i 0.578480 0.801452i
\(40\) 3.07155 5.84851i 0.485655 0.924731i
\(41\) 3.03574 + 3.37153i 0.474103 + 0.526545i 0.931999 0.362461i \(-0.118063\pi\)
−0.457896 + 0.889006i \(0.651397\pi\)
\(42\) 0.0402345 + 12.9046i 0.00620832 + 1.99122i
\(43\) −0.885445 1.53364i −0.135029 0.233877i 0.790579 0.612359i \(-0.209779\pi\)
−0.925609 + 0.378482i \(0.876446\pi\)
\(44\) −5.18939 3.77032i −0.782331 0.568397i
\(45\) −3.61907 5.64822i −0.539498 0.841987i
\(46\) 15.8080 11.4852i 2.33077 1.69340i
\(47\) 7.06685 + 3.14637i 1.03081 + 0.458945i 0.851226 0.524799i \(-0.175859\pi\)
0.179580 + 0.983743i \(0.442526\pi\)
\(48\) 0.157191 + 0.350115i 0.0226886 + 0.0505347i
\(49\) −1.75159 + 3.03384i −0.250227 + 0.433406i
\(50\) −4.93328 + 10.3822i −0.697671 + 1.46826i
\(51\) 0.628320 1.42316i 0.0879824 0.199282i
\(52\) 7.83371 8.70021i 1.08634 1.20650i
\(53\) 5.94096 4.31636i 0.816053 0.592897i −0.0995259 0.995035i \(-0.531733\pi\)
0.915579 + 0.402137i \(0.131733\pi\)
\(54\) 11.8913 + 1.13748i 1.61820 + 0.154791i
\(55\) 3.63211 + 2.42303i 0.489753 + 0.326721i
\(56\) −1.00081 + 9.52203i −0.133738 + 1.27243i
\(57\) 0.633941 1.43589i 0.0839675 0.190188i
\(58\) −15.6837 + 6.98281i −2.05937 + 0.916888i
\(59\) −9.23740 10.2592i −1.20261 1.33563i −0.927321 0.374267i \(-0.877894\pi\)
−0.275286 0.961362i \(-0.588772\pi\)
\(60\) −5.67120 11.3892i −0.732149 1.47034i
\(61\) −4.22089 + 4.68777i −0.540429 + 0.600207i −0.950069 0.312040i \(-0.898988\pi\)
0.409640 + 0.912247i \(0.365654\pi\)
\(62\) −5.50365 + 16.9385i −0.698964 + 2.15119i
\(63\) 7.90122 + 5.66563i 0.995460 + 0.713802i
\(64\) −3.97259 12.2264i −0.496573 1.52830i
\(65\) −5.09108 + 6.13054i −0.631471 + 0.760400i
\(66\) −7.38693 + 2.42565i −0.909268 + 0.298576i
\(67\) −11.0747 + 4.93079i −1.35300 + 0.602392i −0.949839 0.312739i \(-0.898754\pi\)
−0.403156 + 0.915131i \(0.632087\pi\)
\(68\) 1.47529 2.55527i 0.178905 0.309872i
\(69\) −0.0458994 14.7215i −0.00552564 1.77226i
\(70\) 1.07736 16.6250i 0.128769 1.98706i
\(71\) −8.02747 + 5.83230i −0.952686 + 0.692167i −0.951441 0.307833i \(-0.900396\pi\)
−0.00124504 + 0.999999i \(0.500396\pi\)
\(72\) 8.68055 + 1.78861i 1.02301 + 0.210789i
\(73\) 0.246766 + 0.759468i 0.0288818 + 0.0888891i 0.964458 0.264235i \(-0.0851194\pi\)
−0.935577 + 0.353124i \(0.885119\pi\)
\(74\) 4.95654 + 8.58498i 0.576186 + 0.997983i
\(75\) 4.16722 + 7.59173i 0.481189 + 0.876617i
\(76\) 1.48849 2.57813i 0.170741 0.295732i
\(77\) −6.18982 1.31569i −0.705396 0.149937i
\(78\) −2.99363 13.8711i −0.338962 1.57060i
\(79\) −0.222600 0.0991078i −0.0250444 0.0111505i 0.394176 0.919035i \(-0.371030\pi\)
−0.419221 + 0.907884i \(0.637697\pi\)
\(80\) −0.171830 0.464711i −0.0192112 0.0519563i
\(81\) 5.93830 6.76289i 0.659811 0.751432i
\(82\) 10.4299 1.15179
\(83\) −0.483482 + 4.60003i −0.0530691 + 0.504919i 0.935410 + 0.353564i \(0.115030\pi\)
−0.988479 + 0.151355i \(0.951636\pi\)
\(84\) 13.7422 + 12.2961i 1.49939 + 1.34162i
\(85\) −0.933822 + 1.77808i −0.101287 + 0.192860i
\(86\) −3.98219 0.846440i −0.429410 0.0912740i
\(87\) −2.64979 + 12.6602i −0.284087 + 1.35732i
\(88\) −5.64252 + 1.19935i −0.601494 + 0.127852i
\(89\) 2.11267 + 6.50212i 0.223942 + 0.689224i 0.998397 + 0.0565946i \(0.0180243\pi\)
−0.774455 + 0.632629i \(0.781976\pi\)
\(90\) −15.2168 2.50562i −1.60399 0.264115i
\(91\) 3.56906 10.9844i 0.374139 1.15148i
\(92\) 2.91860 27.7686i 0.304285 2.89508i
\(93\) 7.92099 + 10.8311i 0.821368 + 1.12314i
\(94\) 16.2462 7.23327i 1.67567 0.746055i
\(95\) −0.942175 + 1.79399i −0.0966652 + 0.184059i
\(96\) −8.90297 2.86209i −0.908656 0.292111i
\(97\) −4.33055 1.92809i −0.439701 0.195767i 0.174932 0.984580i \(-0.444029\pi\)
−0.614633 + 0.788813i \(0.710696\pi\)
\(98\) 2.48869 + 7.65939i 0.251395 + 0.773715i
\(99\) −1.77539 + 5.58228i −0.178433 + 0.561040i
\(100\) 6.30808 + 15.1658i 0.630808 + 1.51658i
\(101\) 5.99315 + 10.3804i 0.596341 + 1.03289i 0.993356 + 0.115080i \(0.0367126\pi\)
−0.397016 + 0.917812i \(0.629954\pi\)
\(102\) −1.46484 3.26266i −0.145041 0.323052i
\(103\) −0.230552 2.19355i −0.0227169 0.216137i −0.999991 0.00415917i \(-0.998676\pi\)
0.977274 0.211978i \(-0.0679906\pi\)
\(104\) −1.10053 10.4708i −0.107915 1.02675i
\(105\) −9.68121 7.98885i −0.944790 0.779632i
\(106\) 1.76465 16.7895i 0.171398 1.63074i
\(107\) −4.62059 −0.446689 −0.223344 0.974740i \(-0.571697\pi\)
−0.223344 + 0.974740i \(0.571697\pi\)
\(108\) 12.5779 11.5401i 1.21031 1.11044i
\(109\) −4.18621 + 12.8838i −0.400966 + 1.23405i 0.523251 + 0.852178i \(0.324719\pi\)
−0.924217 + 0.381867i \(0.875281\pi\)
\(110\) 9.72680 2.47792i 0.927414 0.236261i
\(111\) 7.43016 + 0.757527i 0.705239 + 0.0719012i
\(112\) 0.480503 + 0.533653i 0.0454033 + 0.0504255i
\(113\) −11.3213 12.5736i −1.06502 1.18282i −0.982505 0.186234i \(-0.940372\pi\)
−0.0825140 0.996590i \(-0.526295\pi\)
\(114\) −1.47794 3.29185i −0.138422 0.308310i
\(115\) −1.22904 + 18.9657i −0.114609 + 1.76856i
\(116\) −7.58088 + 23.3315i −0.703867 + 2.16628i
\(117\) −9.79395 4.28757i −0.905451 0.396386i
\(118\) −31.7369 −2.92162
\(119\) 0.304268 2.89492i 0.0278922 0.265377i
\(120\) −11.0243 3.06334i −1.00637 0.279643i
\(121\) 0.751283 + 7.14798i 0.0682984 + 0.649816i
\(122\) 1.51584 + 14.4222i 0.137238 + 1.30573i
\(123\) 4.59900 6.37166i 0.414678 0.574514i
\(124\) 12.7250 + 22.0404i 1.14274 + 1.97928i
\(125\) −4.70319 10.1430i −0.420666 0.907215i
\(126\) 21.8337 4.78338i 1.94510 0.426138i
\(127\) −2.60072 8.00418i −0.230776 0.710256i −0.997654 0.0684626i \(-0.978191\pi\)
0.766877 0.641794i \(-0.221809\pi\)
\(128\) −17.1341 7.62859i −1.51446 0.674279i
\(129\) −2.27302 + 2.05950i −0.200128 + 0.181329i
\(130\) 2.64212 + 18.1283i 0.231729 + 1.58996i
\(131\) 13.2541 5.90112i 1.15802 0.515584i 0.264402 0.964413i \(-0.414825\pi\)
0.893618 + 0.448829i \(0.148159\pi\)
\(132\) −4.48724 + 10.1637i −0.390564 + 0.884633i
\(133\) 0.306990 2.92081i 0.0266194 0.253267i
\(134\) −8.61215 + 26.5055i −0.743976 + 2.28972i
\(135\) −8.24045 + 8.19116i −0.709225 + 0.704983i
\(136\) −0.819971 2.52361i −0.0703119 0.216398i
\(137\) 5.89389 1.25278i 0.503549 0.107033i 0.0508682 0.998705i \(-0.483801\pi\)
0.452681 + 0.891673i \(0.350468\pi\)
\(138\) −25.2214 22.5675i −2.14699 1.92107i
\(139\) 8.08068 + 1.71760i 0.685394 + 0.145685i 0.537431 0.843308i \(-0.319395\pi\)
0.147963 + 0.988993i \(0.452728\pi\)
\(140\) −16.6243 17.0402i −1.40501 1.44016i
\(141\) 2.74483 13.1143i 0.231157 1.10443i
\(142\) −2.38441 + 22.6862i −0.200095 + 1.90378i
\(143\) 6.95864 0.581911
\(144\) 0.535332 0.394065i 0.0446110 0.0328388i
\(145\) 4.52079 16.0749i 0.375432 1.33494i
\(146\) 1.67710 + 0.746693i 0.138798 + 0.0617968i
\(147\) 5.77652 + 1.85701i 0.476440 + 0.153164i
\(148\) 13.8558 + 2.94515i 1.13894 + 0.242090i
\(149\) 5.47333 9.48009i 0.448393 0.776639i −0.549889 0.835238i \(-0.685330\pi\)
0.998282 + 0.0585987i \(0.0186632\pi\)
\(150\) 19.3804 + 4.55880i 1.58240 + 0.372224i
\(151\) −10.5024 18.1907i −0.854675 1.48034i −0.876946 0.480589i \(-0.840423\pi\)
0.0222707 0.999752i \(-0.492910\pi\)
\(152\) −0.827306 2.54619i −0.0671034 0.206523i
\(153\) −2.63909 0.543778i −0.213358 0.0439618i
\(154\) −11.7695 + 8.55102i −0.948411 + 0.689061i
\(155\) −9.25469 14.6439i −0.743355 1.17622i
\(156\) −17.5925 10.0840i −1.40852 0.807367i
\(157\) 3.25622 5.63994i 0.259875 0.450116i −0.706333 0.707879i \(-0.749652\pi\)
0.966208 + 0.257763i \(0.0829854\pi\)
\(158\) −0.511741 + 0.227842i −0.0407119 + 0.0181261i
\(159\) −9.47869 8.48129i −0.751709 0.672610i
\(160\) 11.2168 + 4.46548i 0.886767 + 0.353027i
\(161\) −8.51211 26.1976i −0.670848 2.06466i
\(162\) −2.41918 20.5485i −0.190069 1.61444i
\(163\) −1.26328 + 3.88796i −0.0989474 + 0.304529i −0.988262 0.152766i \(-0.951182\pi\)
0.889315 + 0.457295i \(0.151182\pi\)
\(164\) 9.97265 11.0757i 0.778733 0.864871i
\(165\) 2.77520 7.03477i 0.216049 0.547656i
\(166\) 7.11513 + 7.90215i 0.552241 + 0.613326i
\(167\) 15.3149 6.81865i 1.18511 0.527643i 0.282984 0.959125i \(-0.408676\pi\)
0.902122 + 0.431482i \(0.142009\pi\)
\(168\) 16.4872 1.78486i 1.27201 0.137705i
\(169\) 0.0313031 0.297829i 0.00240793 0.0229099i
\(170\) 1.60126 + 4.33057i 0.122811 + 0.332140i
\(171\) −2.66270 0.548642i −0.203621 0.0419557i
\(172\) −4.70647 + 3.41945i −0.358865 + 0.260730i
\(173\) −4.40487 + 4.89211i −0.334896 + 0.371940i −0.886948 0.461870i \(-0.847179\pi\)
0.552051 + 0.833810i \(0.313845\pi\)
\(174\) 17.5531 + 24.0021i 1.33070 + 1.81959i
\(175\) 11.7706 + 11.1370i 0.889775 + 0.841876i
\(176\) −0.216326 + 0.374687i −0.0163062 + 0.0282431i
\(177\) −13.9942 + 19.3882i −1.05187 + 1.45731i
\(178\) 14.3584 + 6.39275i 1.07620 + 0.479157i
\(179\) −8.82628 + 6.41267i −0.659707 + 0.479305i −0.866564 0.499066i \(-0.833677\pi\)
0.206857 + 0.978371i \(0.433677\pi\)
\(180\) −17.2105 + 13.7633i −1.28279 + 1.02585i
\(181\) 7.04839 + 5.12096i 0.523903 + 0.380638i 0.818072 0.575116i \(-0.195043\pi\)
−0.294169 + 0.955753i \(0.595043\pi\)
\(182\) −13.2760 22.9947i −0.984082 1.70448i
\(183\) 9.47901 + 5.43337i 0.700708 + 0.401646i
\(184\) −16.8020 18.6605i −1.23866 1.37567i
\(185\) −9.50395 1.62587i −0.698744 0.119536i
\(186\) 30.6890 + 3.12884i 2.25023 + 0.229418i
\(187\) 1.71545 0.364631i 0.125446 0.0266645i
\(188\) 7.85279 24.1684i 0.572723 1.76266i
\(189\) 6.70525 15.4475i 0.487735 1.12364i
\(190\) 1.61558 + 4.36931i 0.117207 + 0.316983i
\(191\) 9.78604 2.08009i 0.708093 0.150510i 0.160232 0.987079i \(-0.448776\pi\)
0.547861 + 0.836570i \(0.315442\pi\)
\(192\) −19.2485 + 11.1933i −1.38914 + 0.807808i
\(193\) 5.77682 10.0057i 0.415824 0.720229i −0.579690 0.814837i \(-0.696826\pi\)
0.995515 + 0.0946081i \(0.0301598\pi\)
\(194\) −9.95563 + 4.43253i −0.714773 + 0.318237i
\(195\) 12.2397 + 6.37949i 0.876502 + 0.456845i
\(196\) 10.5133 + 4.68081i 0.750948 + 0.334343i
\(197\) 10.5844 7.69002i 0.754108 0.547891i −0.142990 0.989724i \(-0.545672\pi\)
0.897097 + 0.441833i \(0.145672\pi\)
\(198\) 6.80593 + 11.6203i 0.483676 + 0.825817i
\(199\) 2.60687 0.184796 0.0923980 0.995722i \(-0.470547\pi\)
0.0923980 + 0.995722i \(0.470547\pi\)
\(200\) 13.9315 + 4.91030i 0.985105 + 0.347211i
\(201\) 12.3948 + 16.9486i 0.874264 + 1.19546i
\(202\) 26.9535 + 5.72914i 1.89644 + 0.403101i
\(203\) 2.52980 + 24.0695i 0.177557 + 1.68934i
\(204\) −4.86532 1.56408i −0.340641 0.109508i
\(205\) −6.48117 + 7.80445i −0.452664 + 0.545086i
\(206\) −4.10221 2.98043i −0.285814 0.207656i
\(207\) −24.9078 + 5.45687i −1.73121 + 0.379279i
\(208\) −0.638842 0.464146i −0.0442957 0.0321827i
\(209\) 1.73080 0.367893i 0.119722 0.0254477i
\(210\) −28.5409 + 4.25063i −1.96951 + 0.293321i
\(211\) −26.1057 5.54894i −1.79719 0.382005i −0.816466 0.577394i \(-0.804070\pi\)
−0.980726 + 0.195389i \(0.937403\pi\)
\(212\) −16.1419 17.9274i −1.10863 1.23126i
\(213\) 12.8077 + 11.4600i 0.877568 + 0.785225i
\(214\) −7.10777 + 7.89398i −0.485877 + 0.539622i
\(215\) 3.10791 2.45380i 0.211958 0.167348i
\(216\) −0.143584 15.3503i −0.00976962 1.04446i
\(217\) 20.3124 + 14.7578i 1.37889 + 1.00182i
\(218\) 15.5716 + 26.9708i 1.05464 + 1.82670i
\(219\) 1.19567 0.695298i 0.0807957 0.0469839i
\(220\) 6.66902 12.6984i 0.449625 0.856127i
\(221\) 0.334585 + 3.18337i 0.0225066 + 0.214136i
\(222\) 12.7239 11.5287i 0.853971 0.773754i
\(223\) 14.3624 15.9511i 0.961780 1.06817i −0.0358496 0.999357i \(-0.511414\pi\)
0.997630 0.0688080i \(-0.0219196\pi\)
\(224\) −17.4981 −1.16914
\(225\) 11.3306 9.82937i 0.755377 0.655291i
\(226\) −38.8966 −2.58736
\(227\) −3.52007 + 3.90944i −0.233636 + 0.259479i −0.848550 0.529115i \(-0.822524\pi\)
0.614914 + 0.788594i \(0.289191\pi\)
\(228\) −4.90884 1.57808i −0.325096 0.104511i
\(229\) −1.82919 17.4036i −0.120877 1.15006i −0.871864 0.489747i \(-0.837089\pi\)
0.750988 0.660316i \(-0.229578\pi\)
\(230\) 30.5111 + 31.2744i 2.01185 + 2.06217i
\(231\) 0.0341733 + 10.9605i 0.00224844 + 0.721151i
\(232\) 11.0310 + 19.1063i 0.724223 + 1.25439i
\(233\) −7.95794 5.78178i −0.521342 0.378777i 0.295767 0.955260i \(-0.404425\pi\)
−0.817109 + 0.576483i \(0.804425\pi\)
\(234\) −22.3909 + 10.1369i −1.46374 + 0.662667i
\(235\) −4.68294 + 16.6514i −0.305482 + 1.08622i
\(236\) −30.3456 + 33.7022i −1.97533 + 2.19382i
\(237\) −0.0864598 + 0.413090i −0.00561617 + 0.0268331i
\(238\) −4.47773 4.97303i −0.290248 0.322353i
\(239\) 16.3019 + 3.46507i 1.05448 + 0.224136i 0.702362 0.711820i \(-0.252129\pi\)
0.352117 + 0.935956i \(0.385462\pi\)
\(240\) −0.724003 + 0.460723i −0.0467342 + 0.0297396i
\(241\) −21.6986 + 4.61217i −1.39773 + 0.297096i −0.844331 0.535822i \(-0.820002\pi\)
−0.553396 + 0.832918i \(0.686668\pi\)
\(242\) 13.3676 + 9.71210i 0.859299 + 0.624317i
\(243\) −13.6199 7.58284i −0.873714 0.486439i
\(244\) 16.7647 + 12.1803i 1.07325 + 0.779762i
\(245\) −7.27782 2.89734i −0.464963 0.185104i
\(246\) −3.81102 17.6585i −0.242982 1.12587i
\(247\) 0.337578 + 3.21184i 0.0214796 + 0.204365i
\(248\) 22.3873 + 4.75857i 1.42160 + 0.302169i
\(249\) 7.96483 0.862253i 0.504751 0.0546431i
\(250\) −24.5635 7.56767i −1.55353 0.478621i
\(251\) −7.63595 −0.481977 −0.240989 0.970528i \(-0.577472\pi\)
−0.240989 + 0.970528i \(0.577472\pi\)
\(252\) 15.7969 27.7594i 0.995113 1.74868i
\(253\) 13.4266 9.75499i 0.844122 0.613291i
\(254\) −17.6753 7.86954i −1.10905 0.493779i
\(255\) 3.35163 + 0.931325i 0.209887 + 0.0583219i
\(256\) −15.9018 + 7.07994i −0.993863 + 0.442496i
\(257\) −3.94709 + 6.83657i −0.246213 + 0.426453i −0.962472 0.271381i \(-0.912520\pi\)
0.716259 + 0.697835i \(0.245853\pi\)
\(258\) 0.0219852 + 7.05141i 0.00136874 + 0.439001i
\(259\) 13.6693 2.90551i 0.849371 0.180539i
\(260\) 21.7772 + 14.5278i 1.35056 + 0.900979i
\(261\) 22.4029 0.139699i 1.38671 0.00864714i
\(262\) 10.3069 31.7215i 0.636764 1.95976i
\(263\) 9.10099 1.93448i 0.561191 0.119285i 0.0814223 0.996680i \(-0.474054\pi\)
0.479769 + 0.877395i \(0.340720\pi\)
\(264\) 4.09233 + 9.11494i 0.251866 + 0.560986i
\(265\) 11.4667 + 11.7535i 0.704392 + 0.722013i
\(266\) −4.51779 5.01751i −0.277003 0.307643i
\(267\) 10.2366 5.95273i 0.626470 0.364301i
\(268\) 19.9122 + 34.4889i 1.21633 + 2.10675i
\(269\) 12.3841 + 8.99756i 0.755071 + 0.548591i 0.897394 0.441229i \(-0.145457\pi\)
−0.142324 + 0.989820i \(0.545457\pi\)
\(270\) 1.31794 + 26.6786i 0.0802070 + 1.62361i
\(271\) −6.20201 + 4.50602i −0.376745 + 0.273721i −0.760002 0.649920i \(-0.774802\pi\)
0.383257 + 0.923642i \(0.374802\pi\)
\(272\) −0.181809 0.0809468i −0.0110238 0.00490812i
\(273\) −19.9015 2.02902i −1.20450 0.122802i
\(274\) 6.92617 11.9965i 0.418425 0.724734i
\(275\) −4.19009 + 8.81813i −0.252672 + 0.531753i
\(276\) −48.0807 + 5.20510i −2.89412 + 0.313310i
\(277\) 0.345420 0.383628i 0.0207543 0.0230500i −0.732678 0.680575i \(-0.761730\pi\)
0.753433 + 0.657525i \(0.228397\pi\)
\(278\) 15.3648 11.1632i 0.921519 0.669523i
\(279\) 15.4436 17.3684i 0.924583 1.03982i
\(280\) −21.3921 + 0.856285i −1.27842 + 0.0511728i
\(281\) −0.275106 + 2.61746i −0.0164115 + 0.156145i −0.999658 0.0261336i \(-0.991680\pi\)
0.983247 + 0.182278i \(0.0583471\pi\)
\(282\) −18.1827 24.8630i −1.08276 1.48057i
\(283\) 28.0092 12.4705i 1.66497 0.741293i 0.664987 0.746855i \(-0.268437\pi\)
0.999985 + 0.00556193i \(0.00177043\pi\)
\(284\) 21.8111 + 24.2237i 1.29425 + 1.43741i
\(285\) 3.38161 + 0.939657i 0.200309 + 0.0556605i
\(286\) 10.7044 11.8884i 0.632962 0.702976i
\(287\) 4.54357 13.9837i 0.268198 0.825429i
\(288\) −1.59263 + 16.1192i −0.0938468 + 0.949830i
\(289\) −5.00400 15.4007i −0.294353 0.905925i
\(290\) −20.5086 32.4512i −1.20431 1.90560i
\(291\) −1.68203 + 8.03644i −0.0986022 + 0.471104i
\(292\) 2.39651 1.06699i 0.140245 0.0624411i
\(293\) −14.6607 + 25.3931i −0.856488 + 1.48348i 0.0187704 + 0.999824i \(0.494025\pi\)
−0.875258 + 0.483656i \(0.839309\pi\)
\(294\) 12.0585 7.01221i 0.703268 0.408961i
\(295\) 19.7214 23.7480i 1.14822 1.38266i
\(296\) 10.3061 7.48784i 0.599031 0.435222i
\(297\) 10.0999 + 0.966121i 0.586056 + 0.0560600i
\(298\) −7.77660 23.9339i −0.450486 1.38645i
\(299\) 15.1452 + 26.2323i 0.875871 + 1.51705i
\(300\) 23.3718 16.2215i 1.34937 0.936550i
\(301\) −2.86960 + 4.97030i −0.165401 + 0.286483i
\(302\) −47.2334 10.0398i −2.71798 0.577724i
\(303\) 15.3850 13.9398i 0.883842 0.800819i
\(304\) −0.183436 0.0816709i −0.0105208 0.00468415i
\(305\) −11.7338 7.82776i −0.671874 0.448216i
\(306\) −4.98868 + 3.67223i −0.285184 + 0.209927i
\(307\) 9.35518 0.533929 0.266964 0.963706i \(-0.413979\pi\)
0.266964 + 0.963706i \(0.413979\pi\)
\(308\) −2.17297 + 20.6744i −0.123817 + 1.17804i
\(309\) −3.62960 + 1.19185i −0.206481 + 0.0678021i
\(310\) −39.2545 6.71538i −2.22951 0.381408i
\(311\) −20.1764 4.28863i −1.14410 0.243186i −0.403401 0.915023i \(-0.632172\pi\)
−0.740699 + 0.671837i \(0.765505\pi\)
\(312\) −17.3257 + 5.68924i −0.980874 + 0.322090i
\(313\) −19.9912 + 4.24926i −1.12997 + 0.240183i −0.734707 0.678385i \(-0.762680\pi\)
−0.395264 + 0.918568i \(0.629347\pi\)
\(314\) −4.62649 14.2389i −0.261088 0.803547i
\(315\) −9.98823 + 19.3101i −0.562773 + 1.08800i
\(316\) −0.247356 + 0.761283i −0.0139149 + 0.0428255i
\(317\) 0.00914898 0.0870467i 0.000513858 0.00488903i −0.994262 0.106973i \(-0.965884\pi\)
0.994776 + 0.102084i \(0.0325509\pi\)
\(318\) −29.0707 + 3.14712i −1.63020 + 0.176482i
\(319\) −13.3210 + 5.93087i −0.745830 + 0.332065i
\(320\) 25.7721 12.7330i 1.44070 0.711796i
\(321\) 1.68834 + 7.82298i 0.0942337 + 0.436636i
\(322\) −57.8510 25.7569i −3.22391 1.43538i
\(323\) 0.251520 + 0.774099i 0.0139950 + 0.0430720i
\(324\) −24.1340 17.0786i −1.34078 0.948813i
\(325\) −15.2068 9.28795i −0.843522 0.515203i
\(326\) 4.69907 + 8.13902i 0.260257 + 0.450779i
\(327\) 23.3428 + 2.37987i 1.29086 + 0.131607i
\(328\) −1.40102 13.3298i −0.0773582 0.736014i
\(329\) −2.62054 24.9328i −0.144475 1.37459i
\(330\) −7.74942 15.5627i −0.426591 0.856701i
\(331\) −2.35991 + 22.4531i −0.129713 + 1.23413i 0.715082 + 0.699041i \(0.246390\pi\)
−0.844794 + 0.535091i \(0.820277\pi\)
\(332\) 15.1947 0.833917
\(333\) −1.43239 12.8566i −0.0784945 0.704536i
\(334\) 11.9095 36.6536i 0.651658 2.00560i
\(335\) −14.4818 22.9149i −0.791226 1.25197i
\(336\) 0.727939 1.00852i 0.0397123 0.0550192i
\(337\) 2.22518 + 2.47131i 0.121213 + 0.134621i 0.800697 0.599070i \(-0.204463\pi\)
−0.679484 + 0.733691i \(0.737796\pi\)
\(338\) −0.460669 0.511625i −0.0250571 0.0278287i
\(339\) −17.1512 + 23.7621i −0.931527 + 1.29058i
\(340\) 6.12980 + 2.44031i 0.332435 + 0.132344i
\(341\) −4.67454 + 14.3867i −0.253140 + 0.779086i
\(342\) −5.03330 + 3.70508i −0.272170 + 0.200348i
\(343\) −11.3327 −0.611909
\(344\) −0.546866 + 5.20308i −0.0294850 + 0.280531i
\(345\) 32.5594 4.84911i 1.75294 0.261067i
\(346\) 1.58191 + 15.0509i 0.0850442 + 0.809142i
\(347\) 1.44171 + 13.7170i 0.0773951 + 0.736365i 0.962557 + 0.271081i \(0.0873811\pi\)
−0.885162 + 0.465284i \(0.845952\pi\)
\(348\) 42.2719 + 4.30975i 2.26601 + 0.231027i
\(349\) −7.45084 12.9052i −0.398834 0.690801i 0.594748 0.803912i \(-0.297252\pi\)
−0.993582 + 0.113111i \(0.963918\pi\)
\(350\) 37.1334 2.97753i 1.98486 0.159156i
\(351\) −3.68051 + 18.1485i −0.196451 + 0.968695i
\(352\) −3.25781 10.0265i −0.173642 0.534415i
\(353\) −8.63336 3.84382i −0.459508 0.204586i 0.163910 0.986475i \(-0.447589\pi\)
−0.623417 + 0.781889i \(0.714256\pi\)
\(354\) 11.5965 + 53.7328i 0.616346 + 2.85587i
\(355\) −15.4939 15.8815i −0.822328 0.842900i
\(356\) 20.5175 9.13498i 1.08743 0.484153i
\(357\) −5.01247 + 0.542638i −0.265288 + 0.0287195i
\(358\) −2.62168 + 24.9436i −0.138560 + 1.31831i
\(359\) 0.603190 1.85643i 0.0318351 0.0979785i −0.933876 0.357596i \(-0.883596\pi\)
0.965712 + 0.259618i \(0.0835965\pi\)
\(360\) −1.15825 + 19.7842i −0.0610449 + 1.04272i
\(361\) −5.61755 17.2890i −0.295661 0.909950i
\(362\) 19.5913 4.16425i 1.02969 0.218868i
\(363\) 11.8275 3.88380i 0.620783 0.203847i
\(364\) −37.1126 7.88852i −1.94523 0.413471i
\(365\) −1.60089 + 0.790938i −0.0837944 + 0.0413996i
\(366\) 23.8640 7.83622i 1.24739 0.409606i
\(367\) 0.759966 7.23059i 0.0396699 0.377434i −0.956618 0.291346i \(-0.905897\pi\)
0.996288 0.0860876i \(-0.0274365\pi\)
\(368\) −1.88330 −0.0981738
\(369\) −12.4681 5.45826i −0.649065 0.284146i
\(370\) −17.3975 + 13.7359i −0.904451 + 0.714093i
\(371\) −21.7415 9.67994i −1.12876 0.502557i
\(372\) 32.6662 29.5978i 1.69367 1.53457i
\(373\) 12.7293 + 2.70570i 0.659098 + 0.140096i 0.525305 0.850914i \(-0.323951\pi\)
0.133793 + 0.991009i \(0.457284\pi\)
\(374\) 2.01591 3.49165i 0.104240 0.180549i
\(375\) −15.4543 + 11.6690i −0.798054 + 0.602586i
\(376\) −11.4267 19.7916i −0.589287 1.02067i
\(377\) −8.22403 25.3110i −0.423559 1.30358i
\(378\) −16.0765 35.2182i −0.826886 1.81143i
\(379\) 0.718684 0.522154i 0.0369163 0.0268213i −0.569174 0.822217i \(-0.692737\pi\)
0.606090 + 0.795396i \(0.292737\pi\)
\(380\) 6.18463 + 2.46214i 0.317265 + 0.126305i
\(381\) −12.6014 + 7.32787i −0.645587 + 0.375418i
\(382\) 11.5000 19.9186i 0.588391 1.01912i
\(383\) 17.1982 7.65712i 0.878785 0.391261i 0.0827928 0.996567i \(-0.473616\pi\)
0.795993 + 0.605306i \(0.206949\pi\)
\(384\) −6.65505 + 31.7967i −0.339614 + 1.62262i
\(385\) 0.915054 14.1205i 0.0466355 0.719645i
\(386\) −8.20780 25.2610i −0.417766 1.28575i
\(387\) 4.31743 + 3.09585i 0.219467 + 0.157371i
\(388\) −4.81217 + 14.8103i −0.244301 + 0.751881i
\(389\) −21.7409 + 24.1457i −1.10231 + 1.22423i −0.129754 + 0.991546i \(0.541419\pi\)
−0.972551 + 0.232688i \(0.925248\pi\)
\(390\) 29.7271 11.0973i 1.50529 0.561932i
\(391\) 5.10819 + 5.67322i 0.258332 + 0.286907i
\(392\) 9.45468 4.20950i 0.477534 0.212612i
\(393\) −14.8340 20.2840i −0.748276 1.02319i
\(394\) 3.14390 29.9122i 0.158387 1.50696i
\(395\) 0.147509 0.524506i 0.00742197 0.0263907i
\(396\) 18.8474 + 3.88346i 0.947118 + 0.195151i
\(397\) −15.9764 + 11.6075i −0.801832 + 0.582565i −0.911451 0.411409i \(-0.865037\pi\)
0.109619 + 0.993974i \(0.465037\pi\)
\(398\) 4.01010 4.45367i 0.201008 0.223242i
\(399\) −5.05731 + 0.547492i −0.253182 + 0.0274089i
\(400\) 0.972849 0.530072i 0.0486424 0.0265036i
\(401\) 5.22664 9.05280i 0.261006 0.452075i −0.705504 0.708706i \(-0.749279\pi\)
0.966509 + 0.256631i \(0.0826125\pi\)
\(402\) 48.0225 + 4.89603i 2.39514 + 0.244192i
\(403\) −25.2222 11.2297i −1.25641 0.559389i
\(404\) 31.8558 23.1446i 1.58488 1.15149i
\(405\) 16.8792 + 10.9587i 0.838735 + 0.544540i
\(406\) 45.0127 + 32.7036i 2.23394 + 1.62305i
\(407\) 4.20985 + 7.29167i 0.208674 + 0.361435i
\(408\) −3.97304 + 2.31038i −0.196695 + 0.114381i
\(409\) 4.93192 + 5.47746i 0.243868 + 0.270843i 0.852636 0.522506i \(-0.175003\pi\)
−0.608768 + 0.793348i \(0.708336\pi\)
\(410\) 3.36353 + 23.0781i 0.166113 + 1.13975i
\(411\) −4.27464 9.52101i −0.210853 0.469637i
\(412\) −7.08735 + 1.50646i −0.349169 + 0.0742181i
\(413\) −13.8255 + 42.5506i −0.680309 + 2.09378i
\(414\) −28.9926 + 50.9477i −1.42491 + 2.50394i
\(415\) −10.3344 + 0.413665i −0.507294 + 0.0203060i
\(416\) 18.8211 4.00056i 0.922782 0.196143i
\(417\) −0.0446125 14.3088i −0.00218468 0.700703i
\(418\) 2.03394 3.52289i 0.0994833 0.172310i
\(419\) −1.97295 + 0.878413i −0.0963849 + 0.0429133i −0.454363 0.890817i \(-0.650133\pi\)
0.357978 + 0.933730i \(0.383466\pi\)
\(420\) −22.7758 + 34.3726i −1.11135 + 1.67721i
\(421\) 28.8887 + 12.8621i 1.40795 + 0.626859i 0.963197 0.268796i \(-0.0866258\pi\)
0.444750 + 0.895655i \(0.353292\pi\)
\(422\) −49.6380 + 36.0641i −2.41634 + 1.75557i
\(423\) −23.2064 + 0.144710i −1.12834 + 0.00703602i
\(424\) −21.6947 −1.05359
\(425\) −4.23549 1.49285i −0.205452 0.0724136i
\(426\) 39.2805 4.25241i 1.90315 0.206030i
\(427\) 19.9967 + 4.25042i 0.967706 + 0.205692i
\(428\) 1.58664 + 15.0958i 0.0766929 + 0.729685i
\(429\) −2.54265 11.7815i −0.122760 0.568815i
\(430\) 0.588695 9.08432i 0.0283894 0.438085i
\(431\) 14.4718 + 10.5144i 0.697081 + 0.506459i 0.878980 0.476858i \(-0.158225\pi\)
−0.181899 + 0.983317i \(0.558225\pi\)
\(432\) −0.862787 0.762366i −0.0415109 0.0366794i
\(433\) 26.2239 + 19.0528i 1.26024 + 0.915620i 0.998770 0.0495910i \(-0.0157918\pi\)
0.261473 + 0.965211i \(0.415792\pi\)
\(434\) 56.4590 12.0007i 2.71012 0.576053i
\(435\) −28.8677 1.78036i −1.38410 0.0853619i
\(436\) 43.5300 + 9.25258i 2.08471 + 0.443118i
\(437\) 5.15388 + 5.72397i 0.246544 + 0.273814i
\(438\) 0.651402 3.11229i 0.0311252 0.148711i
\(439\) 8.09745 8.99313i 0.386470 0.429219i −0.518247 0.855231i \(-0.673415\pi\)
0.904717 + 0.426012i \(0.140082\pi\)
\(440\) −4.47345 12.0984i −0.213263 0.576767i
\(441\) 1.03335 10.4586i 0.0492071 0.498029i
\(442\) 5.95327 + 4.32530i 0.283168 + 0.205734i
\(443\) −5.38308 9.32377i −0.255758 0.442986i 0.709343 0.704863i \(-0.248992\pi\)
−0.965101 + 0.261878i \(0.915658\pi\)
\(444\) −0.0764964 24.5350i −0.00363036 1.16438i
\(445\) −13.7059 + 6.77155i −0.649721 + 0.321002i
\(446\) −5.15796 49.0747i −0.244236 2.32375i
\(447\) −18.0504 5.80277i −0.853754 0.274462i
\(448\) −27.8780 + 30.9617i −1.31711 + 1.46280i
\(449\) −27.1471 −1.28115 −0.640575 0.767896i \(-0.721304\pi\)
−0.640575 + 0.767896i \(0.721304\pi\)
\(450\) 0.636899 34.4781i 0.0300237 1.62531i
\(451\) 8.85865 0.417138
\(452\) −37.1914 + 41.3052i −1.74934 + 1.94283i
\(453\) −26.9607 + 24.4281i −1.26672 + 1.14773i
\(454\) 1.26416 + 12.0277i 0.0593298 + 0.564486i
\(455\) 25.4561 + 4.35485i 1.19340 + 0.204159i
\(456\) −4.00858 + 2.33105i −0.187719 + 0.109161i
\(457\) 7.80737 + 13.5228i 0.365213 + 0.632568i 0.988810 0.149178i \(-0.0476627\pi\)
−0.623597 + 0.781746i \(0.714329\pi\)
\(458\) −32.5468 23.6466i −1.52081 1.10493i
\(459\) 0.0436527 + 4.66685i 0.00203753 + 0.217830i
\(460\) 62.3846 2.49714i 2.90870 0.116430i
\(461\) 5.02063 5.57598i 0.233834 0.259699i −0.614795 0.788687i \(-0.710761\pi\)
0.848630 + 0.528987i \(0.177428\pi\)
\(462\) 18.7780 + 16.8021i 0.873631 + 0.781702i
\(463\) −22.1504 24.6005i −1.02941 1.14328i −0.989567 0.144075i \(-0.953979\pi\)
−0.0398480 0.999206i \(-0.512687\pi\)
\(464\) 1.61853 + 0.344029i 0.0751384 + 0.0159712i
\(465\) −21.4115 + 21.0196i −0.992935 + 0.974762i
\(466\) −22.1194 + 4.70162i −1.02466 + 0.217798i
\(467\) −2.65707 1.93048i −0.122955 0.0893318i 0.524608 0.851344i \(-0.324212\pi\)
−0.647563 + 0.762012i \(0.724212\pi\)
\(468\) −10.6448 + 33.4699i −0.492054 + 1.54715i
\(469\) 31.7849 + 23.0931i 1.46769 + 1.06634i
\(470\) 21.2442 + 33.6151i 0.979923 + 1.55055i
\(471\) −10.7386 3.45221i −0.494810 0.159069i
\(472\) 4.26313 + 40.5609i 0.196226 + 1.86697i
\(473\) −3.38228 0.718926i −0.155517 0.0330562i
\(474\) 0.572739 + 0.783161i 0.0263068 + 0.0359718i
\(475\) −4.27338 1.50620i −0.196076 0.0691092i
\(476\) −9.56241 −0.438292
\(477\) −10.8960 + 19.1471i −0.498892 + 0.876686i
\(478\) 30.9967 22.5204i 1.41776 1.03006i
\(479\) 7.52723 + 3.35134i 0.343928 + 0.153127i 0.571430 0.820651i \(-0.306389\pi\)
−0.227502 + 0.973778i \(0.573056\pi\)
\(480\) 3.46181 20.6225i 0.158009 0.941285i
\(481\) −14.0386 + 6.25039i −0.640105 + 0.284993i
\(482\) −25.4989 + 44.1655i −1.16145 + 2.01168i
\(483\) −41.2441 + 23.9840i −1.87667 + 1.09131i
\(484\) 23.0950 4.90900i 1.04977 0.223136i
\(485\) 2.86970 10.2040i 0.130306 0.463338i
\(486\) −33.9060 + 11.6041i −1.53801 + 0.526374i
\(487\) 4.69938 14.4632i 0.212949 0.655391i −0.786343 0.617790i \(-0.788028\pi\)
0.999293 0.0376012i \(-0.0119716\pi\)
\(488\) 18.2285 3.87460i 0.825167 0.175395i
\(489\) 7.04419 + 0.718176i 0.318549 + 0.0324771i
\(490\) −16.1453 + 7.97677i −0.729369 + 0.360354i
\(491\) 1.05842 + 1.17550i 0.0477660 + 0.0530495i 0.766554 0.642179i \(-0.221970\pi\)
−0.718788 + 0.695229i \(0.755303\pi\)
\(492\) −22.3960 12.8374i −1.00969 0.578754i
\(493\) −3.35369 5.80876i −0.151043 0.261613i
\(494\) 6.00653 + 4.36400i 0.270246 + 0.196345i
\(495\) −12.9244 2.12815i −0.580909 0.0956533i
\(496\) 1.38875 1.00899i 0.0623569 0.0453049i
\(497\) 29.3773 + 13.0796i 1.31775 + 0.586701i
\(498\) 10.7791 14.9338i 0.483022 0.669200i
\(499\) −15.4879 + 26.8258i −0.693333 + 1.20089i 0.277407 + 0.960753i \(0.410525\pi\)
−0.970739 + 0.240135i \(0.922808\pi\)
\(500\) −31.5229 + 18.8486i −1.40975 + 0.842937i
\(501\) −17.1404 23.4378i −0.765778 1.04712i
\(502\) −11.7463 + 13.0456i −0.524262 + 0.582251i
\(503\) 24.3048 17.6585i 1.08370 0.787354i 0.105375 0.994433i \(-0.466396\pi\)
0.978324 + 0.207079i \(0.0663957\pi\)
\(504\) −9.04620 27.2617i −0.402950 1.21433i
\(505\) −21.0360 + 16.6086i −0.936088 + 0.739072i
\(506\) 3.98812 37.9444i 0.177294 1.68684i
\(507\) −0.515683 + 0.0558266i −0.0229023 + 0.00247935i
\(508\) −25.2573 + 11.2453i −1.12061 + 0.498928i
\(509\) 13.6021 + 15.1067i 0.602903 + 0.669592i 0.964909 0.262584i \(-0.0845747\pi\)
−0.362006 + 0.932176i \(0.617908\pi\)
\(510\) 6.74687 4.29341i 0.298756 0.190115i
\(511\) 1.73171 1.92326i 0.0766062 0.0850799i
\(512\) −0.774259 + 2.38292i −0.0342177 + 0.105311i
\(513\) 0.0440432 + 4.70860i 0.00194455 + 0.207890i
\(514\) 5.60810 + 17.2599i 0.247363 + 0.761304i
\(515\) 4.77931 1.21754i 0.210601 0.0536512i
\(516\) 7.50908 + 6.71893i 0.330569 + 0.295784i
\(517\) 13.7987 6.14360i 0.606868 0.270195i
\(518\) 16.0634 27.8227i 0.705787 1.22246i
\(519\) 9.89220 + 5.67022i 0.434219 + 0.248895i
\(520\) 22.8137 5.81185i 1.00045 0.254867i
\(521\) −14.7886 + 10.7445i −0.647898 + 0.470726i −0.862555 0.505964i \(-0.831137\pi\)
0.214656 + 0.976690i \(0.431137\pi\)
\(522\) 34.2234 38.4889i 1.49792 1.68461i
\(523\) 0.681075 + 2.09613i 0.0297813 + 0.0916575i 0.964842 0.262829i \(-0.0846556\pi\)
−0.935061 + 0.354487i \(0.884656\pi\)
\(524\) −23.8307 41.2760i −1.04105 1.80315i
\(525\) 14.5548 23.9979i 0.635222 1.04735i
\(526\) 10.6950 18.5243i 0.466323 0.807696i
\(527\) −6.80626 1.44671i −0.296485 0.0630199i
\(528\) 0.713416 + 0.229346i 0.0310475 + 0.00998102i
\(529\) 44.9847 + 20.0285i 1.95586 + 0.870804i
\(530\) 37.7191 1.50983i 1.63842 0.0655827i
\(531\) 37.9390 + 16.6088i 1.64641 + 0.720762i
\(532\) −9.64795 −0.418292
\(533\) −1.69005 + 16.0798i −0.0732042 + 0.696491i
\(534\) 5.57692 26.6456i 0.241337 1.15307i
\(535\) −1.49009 10.2239i −0.0644223 0.442019i
\(536\) 35.0318 + 7.44624i 1.51314 + 0.321629i
\(537\) 14.0822 + 12.6004i 0.607690 + 0.543746i
\(538\) 34.4220 7.31662i 1.48404 0.315442i
\(539\) 2.11377 + 6.50552i 0.0910465 + 0.280212i
\(540\) 29.5908 + 24.1095i 1.27339 + 1.03751i
\(541\) 0.946056 2.91166i 0.0406741 0.125182i −0.928658 0.370938i \(-0.879036\pi\)
0.969332 + 0.245756i \(0.0790362\pi\)
\(542\) −1.84219 + 17.5273i −0.0791289 + 0.752861i
\(543\) 6.09470 13.8046i 0.261549 0.592412i
\(544\) 4.43019 1.97245i 0.189943 0.0845679i
\(545\) −29.8579 5.10788i −1.27897 0.218797i
\(546\) −34.0807 + 30.8793i −1.45852 + 1.32151i
\(547\) 4.66778 + 2.07823i 0.199580 + 0.0888586i 0.504093 0.863650i \(-0.331827\pi\)
−0.304513 + 0.952508i \(0.598494\pi\)
\(548\) −6.11682 18.8256i −0.261297 0.804191i
\(549\) 5.73551 18.0339i 0.244786 0.769670i
\(550\) 8.61967 + 20.7233i 0.367544 + 0.883644i
\(551\) −3.38369 5.86072i −0.144150 0.249675i
\(552\) −25.4542 + 35.2654i −1.08340 + 1.50099i
\(553\) 0.0825447 + 0.785361i 0.00351016 + 0.0333969i
\(554\) −0.124050 1.18026i −0.00527039 0.0501444i
\(555\) 0.719978 + 16.6849i 0.0305614 + 0.708236i
\(556\) 2.83677 26.9900i 0.120306 1.14463i
\(557\) 23.7393 1.00587 0.502934 0.864325i \(-0.332254\pi\)
0.502934 + 0.864325i \(0.332254\pi\)
\(558\) −5.91625 53.1020i −0.250455 2.24799i
\(559\) 1.95023 6.00218i 0.0824858 0.253865i
\(560\) −1.02585 + 1.23530i −0.0433501 + 0.0522011i
\(561\) −1.24416 2.77115i −0.0525286 0.116998i
\(562\) 4.04857 + 4.49640i 0.170779 + 0.189669i
\(563\) 13.0121 + 14.4514i 0.548394 + 0.609054i 0.952082 0.305843i \(-0.0989384\pi\)
−0.403687 + 0.914897i \(0.632272\pi\)
\(564\) −43.7881 4.46433i −1.84381 0.187982i
\(565\) 24.1705 29.1054i 1.01686 1.22447i
\(566\) 21.7810 67.0350i 0.915524 2.81769i
\(567\) −28.6038 5.70804i −1.20125 0.239715i
\(568\) 29.3141 1.22999
\(569\) 0.0692037 0.658430i 0.00290117 0.0276028i −0.992976 0.118320i \(-0.962249\pi\)
0.995877 + 0.0907170i \(0.0289159\pi\)
\(570\) 6.80723 4.33182i 0.285123 0.181440i
\(571\) −1.92300 18.2961i −0.0804749 0.765668i −0.958122 0.286360i \(-0.907555\pi\)
0.877647 0.479307i \(-0.159112\pi\)
\(572\) −2.38949 22.7344i −0.0999094 0.950575i
\(573\) −7.09749 15.8084i −0.296502 0.660405i
\(574\) −16.9009 29.2732i −0.705430 1.22184i
\(575\) −42.3617 + 3.39676i −1.76660 + 0.141655i
\(576\) 25.9844 + 28.4992i 1.08268 + 1.18747i
\(577\) −2.40887 7.41374i −0.100283 0.308638i 0.888312 0.459241i \(-0.151878\pi\)
−0.988594 + 0.150603i \(0.951878\pi\)
\(578\) −34.0087 15.1417i −1.41458 0.629810i
\(579\) −19.0512 6.12452i −0.791742 0.254526i
\(580\) −54.0702 9.24995i −2.24514 0.384083i
\(581\) 13.6942 6.09705i 0.568131 0.252948i
\(582\) 11.1423 + 15.2360i 0.461864 + 0.631551i
\(583\) 1.49881 14.2602i 0.0620744 0.590599i
\(584\) 0.729022 2.24370i 0.0301671 0.0928449i
\(585\) 6.32862 23.0537i 0.261656 0.953153i
\(586\) 20.8302 + 64.1087i 0.860487 + 2.64831i
\(587\) −14.2893 + 3.03728i −0.589782 + 0.125362i −0.493129 0.869956i \(-0.664147\pi\)
−0.0966531 + 0.995318i \(0.530814\pi\)
\(588\) 4.08345 19.5100i 0.168399 0.804581i
\(589\) −6.86714 1.45966i −0.282956 0.0601441i
\(590\) −10.2348 70.2239i −0.421361 2.89107i
\(591\) −16.8872 15.1103i −0.694647 0.621553i
\(592\) 0.0998717 0.950216i 0.00410470 0.0390536i
\(593\) −17.7208 −0.727707 −0.363853 0.931456i \(-0.618539\pi\)
−0.363853 + 0.931456i \(0.618539\pi\)
\(594\) 17.1871 15.7689i 0.705195 0.647006i
\(595\) 6.50368 0.260330i 0.266625 0.0106725i
\(596\) −32.8517 14.6265i −1.34566 0.599125i
\(597\) −0.952534 4.41361i −0.0389846 0.180637i
\(598\) 68.1139 + 14.4781i 2.78538 + 0.592052i
\(599\) 7.37178 12.7683i 0.301203 0.521699i −0.675206 0.737629i \(-0.735945\pi\)
0.976409 + 0.215931i \(0.0692785\pi\)
\(600\) 3.22301 25.3812i 0.131579 1.03618i
\(601\) 6.78135 + 11.7456i 0.276617 + 0.479115i 0.970542 0.240933i \(-0.0774533\pi\)
−0.693925 + 0.720048i \(0.744120\pi\)
\(602\) 4.07718 + 12.5483i 0.166173 + 0.511429i
\(603\) 24.1662 27.1782i 0.984125 1.10678i
\(604\) −55.8242 + 40.5587i −2.27146 + 1.65031i
\(605\) −15.5740 + 3.96751i −0.633172 + 0.161302i
\(606\) −0.148807 47.7276i −0.00604487 1.93880i
\(607\) −16.6848 + 28.8989i −0.677216 + 1.17297i 0.298600 + 0.954378i \(0.403480\pi\)
−0.975816 + 0.218594i \(0.929853\pi\)
\(608\) 4.46982 1.99009i 0.181275 0.0807088i
\(609\) 39.8269 13.0780i 1.61387 0.529946i
\(610\) −31.4231 + 8.00511i −1.27228 + 0.324117i
\(611\) 8.51901 + 26.2188i 0.344642 + 1.06070i
\(612\) −0.870346 + 8.80884i −0.0351816 + 0.356076i
\(613\) 5.32757 16.3966i 0.215178 0.662251i −0.783962 0.620808i \(-0.786805\pi\)
0.999141 0.0414429i \(-0.0131955\pi\)
\(614\) 14.3909 15.9827i 0.580771 0.645011i
\(615\) 15.5817 + 8.12137i 0.628313 + 0.327485i
\(616\) 12.5095 + 13.8932i 0.504022 + 0.559773i
\(617\) 22.8977 10.1947i 0.921827 0.410424i 0.109740 0.993960i \(-0.464998\pi\)
0.812087 + 0.583537i \(0.198332\pi\)
\(618\) −3.54715 + 8.03435i −0.142687 + 0.323189i
\(619\) −1.63152 + 15.5229i −0.0655762 + 0.623916i 0.911540 + 0.411211i \(0.134894\pi\)
−0.977116 + 0.212705i \(0.931773\pi\)
\(620\) −44.6648 + 35.2643i −1.79378 + 1.41625i
\(621\) 18.3400 + 40.1768i 0.735961 + 1.61224i
\(622\) −38.3639 + 27.8730i −1.53825 + 1.11761i
\(623\) 14.8259 16.4658i 0.593986 0.659688i
\(624\) −0.552403 + 1.25120i −0.0221138 + 0.0500881i
\(625\) 20.9265 13.6777i 0.837062 0.547109i
\(626\) −23.4926 + 40.6903i −0.938952 + 1.62631i
\(627\) −1.25529 2.79594i −0.0501316 0.111659i
\(628\) −19.5443 8.70167i −0.779902 0.347235i
\(629\) −3.13330 + 2.27647i −0.124933 + 0.0907690i
\(630\) 17.6253 + 46.7686i 0.702209 + 1.86331i
\(631\) −4.14912 3.01451i −0.165174 0.120006i 0.502128 0.864793i \(-0.332551\pi\)
−0.667301 + 0.744788i \(0.732551\pi\)
\(632\) 0.359931 + 0.623419i 0.0143173 + 0.0247983i
\(633\) 0.144127 + 46.2264i 0.00572852 + 1.83733i
\(634\) −0.134640 0.149533i −0.00534724 0.00593872i
\(635\) 16.8721 8.33585i 0.669548 0.330798i
\(636\) −24.4542 + 33.8800i −0.969673 + 1.34343i
\(637\) −12.2117 + 2.59568i −0.483846 + 0.102845i
\(638\) −10.3589 + 31.8814i −0.410112 + 1.26220i
\(639\) 14.7227 25.8717i 0.582421 1.02347i
\(640\) 11.3541 40.3726i 0.448812 1.59587i
\(641\) −2.92267 + 0.621233i −0.115439 + 0.0245372i −0.265269 0.964175i \(-0.585461\pi\)
0.149830 + 0.988712i \(0.452127\pi\)
\(642\) 15.9622 + 9.14955i 0.629978 + 0.361104i
\(643\) −14.7308 + 25.5144i −0.580925 + 1.00619i 0.414445 + 0.910074i \(0.363976\pi\)
−0.995370 + 0.0961173i \(0.969358\pi\)
\(644\) −82.6667 + 36.8056i −3.25752 + 1.45034i
\(645\) −5.29007 4.36532i −0.208296 0.171884i
\(646\) 1.70941 + 0.761078i 0.0672558 + 0.0299442i
\(647\) 18.7975 13.6572i 0.739005 0.536919i −0.153394 0.988165i \(-0.549020\pi\)
0.892399 + 0.451246i \(0.149020\pi\)
\(648\) −25.9367 + 5.85202i −1.01889 + 0.229889i
\(649\) −26.9558 −1.05811
\(650\) −39.2603 + 11.6924i −1.53992 + 0.458613i
\(651\) 17.5640 39.7827i 0.688386 1.55921i
\(652\) 13.1361 + 2.79216i 0.514449 + 0.109349i
\(653\) −0.136446 1.29820i −0.00533956 0.0508025i 0.991528 0.129896i \(-0.0414642\pi\)
−0.996867 + 0.0790931i \(0.974798\pi\)
\(654\) 39.9738 36.2188i 1.56310 1.41627i
\(655\) 17.3317 + 27.4243i 0.677205 + 1.07155i
\(656\) −0.813274 0.590878i −0.0317530 0.0230699i
\(657\) −1.61408 1.77029i −0.0629712 0.0690656i
\(658\) −46.6272 33.8767i −1.81772 1.32065i
\(659\) 21.2157 4.50954i 0.826447 0.175667i 0.224776 0.974411i \(-0.427835\pi\)
0.601671 + 0.798744i \(0.294502\pi\)
\(660\) −23.9361 6.65119i −0.931712 0.258897i
\(661\) 5.58421 + 1.18696i 0.217201 + 0.0461674i 0.315227 0.949016i \(-0.397920\pi\)
−0.0980260 + 0.995184i \(0.531253\pi\)
\(662\) 34.7295 + 38.5710i 1.34980 + 1.49910i
\(663\) 5.26741 1.72966i 0.204569 0.0671744i
\(664\) 9.14349 10.1549i 0.354836 0.394085i
\(665\) 6.56186 0.262659i 0.254458 0.0101855i
\(666\) −24.1681 17.3299i −0.936494 0.671521i
\(667\) −51.3504 37.3082i −1.98830 1.44458i
\(668\) −27.5360 47.6937i −1.06540 1.84533i
\(669\) −32.2543 18.4882i −1.24702 0.714795i
\(670\) −61.4257 10.5083i −2.37308 0.405970i
\(671\) 1.28748 + 12.2496i 0.0497026 + 0.472889i
\(672\) 6.39370 + 29.6255i 0.246642 + 1.14283i
\(673\) −2.27945 + 2.53159i −0.0878664 + 0.0975855i −0.785474 0.618894i \(-0.787581\pi\)
0.697608 + 0.716480i \(0.254248\pi\)
\(674\) 7.64505 0.294476
\(675\) −20.7820 15.5920i −0.799898 0.600136i
\(676\) −0.983780 −0.0378377
\(677\) −25.2631 + 28.0575i −0.970939 + 1.07834i 0.0259612 + 0.999663i \(0.491735\pi\)
−0.996900 + 0.0786743i \(0.974931\pi\)
\(678\) 14.2126 + 65.8547i 0.545831 + 2.52913i
\(679\) 1.60586 + 15.2787i 0.0616273 + 0.586345i
\(680\) 5.31954 2.62818i 0.203995 0.100786i
\(681\) 7.90517 + 4.53125i 0.302927 + 0.173638i
\(682\) 17.3881 + 30.1170i 0.665824 + 1.15324i
\(683\) 10.4985 + 7.62763i 0.401715 + 0.291863i 0.770239 0.637755i \(-0.220137\pi\)
−0.368524 + 0.929618i \(0.620137\pi\)
\(684\) −0.878132 + 8.88764i −0.0335762 + 0.339827i
\(685\) 4.67274 + 12.6373i 0.178536 + 0.482848i
\(686\) −17.4329 + 19.3612i −0.665593 + 0.739216i
\(687\) −28.7972 + 9.45613i −1.09868 + 0.360774i
\(688\) 0.262559 + 0.291602i 0.0100100 + 0.0111172i
\(689\) 25.5985 + 5.44112i 0.975224 + 0.207290i
\(690\) 41.8012 63.0850i 1.59135 2.40161i
\(691\) −47.5179 + 10.1002i −1.80767 + 0.384232i −0.983325 0.181859i \(-0.941788\pi\)
−0.824343 + 0.566091i \(0.808455\pi\)
\(692\) 17.4955 + 12.7112i 0.665078 + 0.483208i
\(693\) 18.5445 4.06278i 0.704447 0.154332i
\(694\) 25.6523 + 18.6375i 0.973749 + 0.707470i
\(695\) −1.19458 + 18.4339i −0.0453131 + 0.699239i
\(696\) 28.3177 25.6577i 1.07338 0.972551i
\(697\) 0.425941 + 4.05256i 0.0161337 + 0.153502i
\(698\) −33.5093 7.12262i −1.26835 0.269595i
\(699\) −6.88118 + 15.5860i −0.260270 + 0.589516i
\(700\) 32.3435 42.2798i 1.22247 1.59803i
\(701\) 32.6872 1.23458 0.617290 0.786736i \(-0.288231\pi\)
0.617290 + 0.786736i \(0.288231\pi\)
\(702\) 25.3439 + 34.2055i 0.956545 + 1.29100i
\(703\) −3.16133 + 2.29684i −0.119232 + 0.0866269i
\(704\) −22.9316 10.2098i −0.864268 0.384797i
\(705\) 29.9032 + 1.84422i 1.12622 + 0.0694574i
\(706\) −19.8475 + 8.83667i −0.746970 + 0.332573i
\(707\) 19.4230 33.6416i 0.730476 1.26522i
\(708\) 68.1482 + 39.0626i 2.56117 + 1.46806i
\(709\) −9.83705 + 2.09093i −0.369438 + 0.0785265i −0.388890 0.921284i \(-0.627141\pi\)
0.0194515 + 0.999811i \(0.493808\pi\)
\(710\) −50.9664 + 2.04009i −1.91274 + 0.0765633i
\(711\) 0.730983 0.00455822i 0.0274140 0.000170947i
\(712\) 6.24146 19.2092i 0.233909 0.719897i
\(713\) −64.4083 + 13.6904i −2.41211 + 0.512709i
\(714\) −6.78355 + 9.39823i −0.253868 + 0.351720i
\(715\) 2.24409 + 15.3973i 0.0839243 + 0.575827i
\(716\) 23.9815 + 26.6342i 0.896231 + 0.995365i
\(717\) −0.0900006 28.8663i −0.00336113 1.07803i
\(718\) −2.24371 3.88622i −0.0837346 0.145033i
\(719\) −1.59555 1.15923i −0.0595039 0.0432321i 0.557636 0.830086i \(-0.311709\pi\)
−0.617140 + 0.786854i \(0.711709\pi\)
\(720\) 1.04458 + 1.05744i 0.0389293 + 0.0394086i
\(721\) −5.78298 + 4.20158i −0.215370 + 0.156475i
\(722\) −38.1787 16.9982i −1.42086 0.632609i
\(723\) 15.7373 + 35.0519i 0.585275 + 1.30360i
\(724\) 14.3103 24.7861i 0.531837 0.921169i
\(725\) 37.0266 + 4.81914i 1.37513 + 0.178978i
\(726\) 11.5588 26.1810i 0.428989 0.971667i
\(727\) 4.42436 4.91374i 0.164090 0.182241i −0.655492 0.755202i \(-0.727539\pi\)
0.819582 + 0.572961i \(0.194205\pi\)
\(728\) −27.6047 + 20.0560i −1.02310 + 0.743326i
\(729\) −7.86166 + 25.8301i −0.291173 + 0.956671i
\(730\) −1.11135 + 3.95171i −0.0411330 + 0.146259i
\(731\) 0.166260 1.58186i 0.00614934 0.0585071i
\(732\) 14.4963 32.8344i 0.535800 1.21359i
\(733\) 12.7008 5.65477i 0.469116 0.208864i −0.158543 0.987352i \(-0.550680\pi\)
0.627659 + 0.778488i \(0.284013\pi\)
\(734\) −11.1840 12.4211i −0.412808 0.458470i
\(735\) −2.24613 + 13.3805i −0.0828497 + 0.493548i
\(736\) 30.7069 34.1035i 1.13187 1.25707i
\(737\) −7.31475 + 22.5125i −0.269442 + 0.829258i
\(738\) −28.5046 + 12.9047i −1.04927 + 0.475027i
\(739\) −0.707775 2.17831i −0.0260359 0.0801304i 0.937194 0.348808i \(-0.113413\pi\)
−0.963230 + 0.268677i \(0.913413\pi\)
\(740\) −2.04834 + 31.6085i −0.0752984 + 1.16195i
\(741\) 5.31453 1.74513i 0.195234 0.0641090i
\(742\) −49.9822 + 22.2535i −1.83490 + 0.816951i
\(743\) −12.7978 + 22.1664i −0.469506 + 0.813207i −0.999392 0.0348611i \(-0.988901\pi\)
0.529887 + 0.848068i \(0.322234\pi\)
\(744\) −0.123598 39.6420i −0.00453131 1.45335i
\(745\) 22.7416 + 9.05356i 0.833188 + 0.331697i
\(746\) 24.2038 17.5851i 0.886164 0.643836i
\(747\) −4.37016 13.1700i −0.159896 0.481864i
\(748\) −1.78034 5.47932i −0.0650956 0.200344i
\(749\) 7.48734 + 12.9684i 0.273581 + 0.473857i
\(750\) −3.83724 + 44.3529i −0.140116 + 1.61954i
\(751\) 18.1894 31.5050i 0.663742 1.14963i −0.315883 0.948798i \(-0.602301\pi\)
0.979625 0.200836i \(-0.0643660\pi\)
\(752\) −1.67658 0.356369i −0.0611387 0.0129954i
\(753\) 2.79013 + 12.9282i 0.101678 + 0.471130i
\(754\) −55.8931 24.8852i −2.03551 0.906266i
\(755\) 36.8635 29.1049i 1.34160 1.05924i
\(756\) −52.7707 16.6022i −1.91925 0.603816i
\(757\) 35.2024 1.27945 0.639727 0.768602i \(-0.279048\pi\)
0.639727 + 0.768602i \(0.279048\pi\)
\(758\) 0.213472 2.03105i 0.00775364 0.0737710i
\(759\) −21.4219 19.1677i −0.777565 0.695745i
\(760\) 5.36713 2.65169i 0.194686 0.0961870i
\(761\) 21.9059 + 4.65623i 0.794087 + 0.168788i 0.587056 0.809546i \(-0.300287\pi\)
0.207031 + 0.978334i \(0.433620\pi\)
\(762\) −6.86525 + 32.8010i −0.248702 + 1.18825i
\(763\) 42.9440 9.12804i 1.55468 0.330457i
\(764\) −10.1562 31.2575i −0.367438 1.13086i
\(765\) 0.352133 6.01485i 0.0127314 0.217467i
\(766\) 13.3740 41.1608i 0.483221 1.48720i
\(767\) 5.14262 48.9287i 0.185689 1.76671i
\(768\) 17.7973 + 24.3359i 0.642204 + 0.878147i
\(769\) 6.82840 3.04020i 0.246238 0.109632i −0.279907 0.960027i \(-0.590304\pi\)
0.526145 + 0.850395i \(0.323637\pi\)
\(770\) −22.7163 23.2846i −0.818639 0.839118i
\(771\) 13.0170 + 4.18467i 0.468797