Properties

Label 300.2.n.a.11.18
Level $300$
Weight $2$
Character 300.11
Analytic conductor $2.396$
Analytic rank $0$
Dimension $224$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 300.n (of order \(10\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.39551206064\)
Analytic rank: \(0\)
Dimension: \(224\)
Relative dimension: \(56\) over \(\Q(\zeta_{10})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label 11.18
Character \(\chi\) \(=\) 300.11
Dual form 300.2.n.a.191.18

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.776415 - 1.18202i) q^{2} +(-0.846655 + 1.51102i) q^{3} +(-0.794359 + 1.83548i) q^{4} +(0.448288 + 2.19067i) q^{5} +(2.44341 - 0.172411i) q^{6} -2.41810i q^{7} +(2.78634 - 0.486145i) q^{8} +(-1.56635 - 2.55862i) q^{9} +O(q^{10})\) \(q+(-0.776415 - 1.18202i) q^{2} +(-0.846655 + 1.51102i) q^{3} +(-0.794359 + 1.83548i) q^{4} +(0.448288 + 2.19067i) q^{5} +(2.44341 - 0.172411i) q^{6} -2.41810i q^{7} +(2.78634 - 0.486145i) q^{8} +(-1.56635 - 2.55862i) q^{9} +(2.24137 - 2.23076i) q^{10} +(-4.39698 + 3.19459i) q^{11} +(-2.10090 - 2.75431i) q^{12} +(3.38184 + 2.45705i) q^{13} +(-2.85825 + 1.87745i) q^{14} +(-3.68969 - 1.17737i) q^{15} +(-2.73799 - 2.91606i) q^{16} +(-3.42396 + 1.11251i) q^{17} +(-1.80821 + 3.83802i) q^{18} +(-7.02945 + 2.28401i) q^{19} +(-4.37704 - 0.917354i) q^{20} +(3.65379 + 2.04730i) q^{21} +(7.18996 + 2.71700i) q^{22} +(-0.603374 + 0.438377i) q^{23} +(-1.62449 + 4.62180i) q^{24} +(-4.59808 + 1.96410i) q^{25} +(0.278580 - 5.90511i) q^{26} +(5.19228 - 0.200515i) q^{27} +(4.43838 + 1.92084i) q^{28} +(-3.66968 - 1.19235i) q^{29} +(1.47305 + 5.27543i) q^{30} +(0.927208 - 0.301268i) q^{31} +(-1.32104 + 5.50044i) q^{32} +(-1.10436 - 9.34863i) q^{33} +(3.97343 + 3.18343i) q^{34} +(5.29726 - 1.08400i) q^{35} +(5.94055 - 0.842544i) q^{36} +(4.42936 + 3.21812i) q^{37} +(8.15752 + 6.53564i) q^{38} +(-6.57591 + 3.02975i) q^{39} +(2.31406 + 5.88601i) q^{40} +(1.05987 - 1.45879i) q^{41} +(-0.416907 - 5.90842i) q^{42} +4.88416i q^{43} +(-2.37084 - 10.6082i) q^{44} +(4.90292 - 4.57836i) q^{45} +(0.986641 + 0.372840i) q^{46} +(2.13830 - 6.58101i) q^{47} +(6.72435 - 1.66825i) q^{48} +1.15280 q^{49} +(5.89163 + 3.91007i) q^{50} +(1.21789 - 6.11559i) q^{51} +(-7.19628 + 4.25553i) q^{52} +(-4.55991 - 1.48160i) q^{53} +(-4.26838 - 5.98172i) q^{54} +(-8.96941 - 8.20023i) q^{55} +(-1.17555 - 6.73763i) q^{56} +(2.50034 - 12.5554i) q^{57} +(1.43981 + 5.26341i) q^{58} +(7.42456 + 5.39426i) q^{59} +(5.09198 - 5.83710i) q^{60} +(-8.05374 + 5.85138i) q^{61} +(-1.07600 - 0.862072i) q^{62} +(-6.18700 + 3.78759i) q^{63} +(7.52733 - 2.70912i) q^{64} +(-3.86656 + 8.50998i) q^{65} +(-10.1929 + 8.56380i) q^{66} +(1.52430 - 0.495274i) q^{67} +(0.677859 - 7.16836i) q^{68} +(-0.151546 - 1.28286i) q^{69} +(-5.39419 - 5.41985i) q^{70} +(-3.21134 + 9.88348i) q^{71} +(-5.60824 - 6.36770i) q^{72} +(3.45636 - 2.51119i) q^{73} +(0.364870 - 7.73421i) q^{74} +(0.925188 - 8.61069i) q^{75} +(1.39165 - 14.7168i) q^{76} +(7.72484 + 10.6323i) q^{77} +(8.68687 + 5.42053i) q^{78} +(8.43495 + 2.74068i) q^{79} +(5.16073 - 7.30526i) q^{80} +(-4.09309 + 8.01540i) q^{81} +(-2.54722 - 0.120168i) q^{82} +(-2.68916 - 8.27640i) q^{83} +(-6.66019 + 5.08018i) q^{84} +(-3.97207 - 7.00205i) q^{85} +(5.77319 - 3.79214i) q^{86} +(4.90862 - 4.53544i) q^{87} +(-10.6984 + 11.0388i) q^{88} +(7.10249 + 9.77574i) q^{89} +(-9.21843 - 2.24066i) q^{90} +(5.94140 - 8.17763i) q^{91} +(-0.325337 - 1.45571i) q^{92} +(-0.329804 + 1.65610i) q^{93} +(-9.43912 + 2.58208i) q^{94} +(-8.15473 - 14.3753i) q^{95} +(-7.19280 - 6.65309i) q^{96} +(0.0838452 - 0.258049i) q^{97} +(-0.895051 - 1.36264i) q^{98} +(15.0610 + 6.24635i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224q - 6q^{4} + q^{6} - 6q^{9} + O(q^{10}) \) \( 224q - 6q^{4} + q^{6} - 6q^{9} - 8q^{10} - 9q^{12} - 12q^{13} - 18q^{16} - 26q^{18} + 12q^{21} - 6q^{22} - 16q^{24} - 12q^{25} + 2q^{28} - 13q^{30} + 6q^{33} - 30q^{34} + 35q^{36} + 12q^{37} - 24q^{40} - 13q^{42} - 6q^{45} - 18q^{46} - 34q^{48} - 168q^{49} - 28q^{52} - 38q^{54} - 44q^{57} - 34q^{58} - 76q^{60} + 4q^{61} + 18q^{64} - 46q^{66} - 18q^{69} + 72q^{70} - 29q^{72} - 20q^{73} + 16q^{76} + 5q^{78} - 30q^{81} - 20q^{82} - 18q^{84} - 76q^{85} + 6q^{88} + 2q^{90} - 52q^{93} + 96q^{94} - 50q^{96} - 72q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(151\) \(277\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{4}{5}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.776415 1.18202i −0.549008 0.835817i
\(3\) −0.846655 + 1.51102i −0.488816 + 0.872387i
\(4\) −0.794359 + 1.83548i −0.397180 + 0.917741i
\(5\) 0.448288 + 2.19067i 0.200481 + 0.979698i
\(6\) 2.44341 0.172411i 0.997520 0.0703866i
\(7\) 2.41810i 0.913955i −0.889478 0.456978i \(-0.848932\pi\)
0.889478 0.456978i \(-0.151068\pi\)
\(8\) 2.78634 0.486145i 0.985118 0.171878i
\(9\) −1.56635 2.55862i −0.522117 0.852874i
\(10\) 2.24137 2.23076i 0.708782 0.705427i
\(11\) −4.39698 + 3.19459i −1.32574 + 0.963206i −0.325897 + 0.945405i \(0.605666\pi\)
−0.999842 + 0.0178004i \(0.994334\pi\)
\(12\) −2.10090 2.75431i −0.606477 0.795101i
\(13\) 3.38184 + 2.45705i 0.937955 + 0.681464i 0.947928 0.318486i \(-0.103174\pi\)
−0.00997257 + 0.999950i \(0.503174\pi\)
\(14\) −2.85825 + 1.87745i −0.763899 + 0.501769i
\(15\) −3.68969 1.17737i −0.952673 0.303996i
\(16\) −2.73799 2.91606i −0.684497 0.729016i
\(17\) −3.42396 + 1.11251i −0.830433 + 0.269824i −0.693228 0.720719i \(-0.743812\pi\)
−0.137205 + 0.990543i \(0.543812\pi\)
\(18\) −1.80821 + 3.83802i −0.426200 + 0.904629i
\(19\) −7.02945 + 2.28401i −1.61267 + 0.523987i −0.970196 0.242323i \(-0.922091\pi\)
−0.642471 + 0.766310i \(0.722091\pi\)
\(20\) −4.37704 0.917354i −0.978735 0.205127i
\(21\) 3.65379 + 2.04730i 0.797322 + 0.446756i
\(22\) 7.18996 + 2.71700i 1.53291 + 0.579267i
\(23\) −0.603374 + 0.438377i −0.125812 + 0.0914079i −0.648912 0.760864i \(-0.724776\pi\)
0.523100 + 0.852272i \(0.324776\pi\)
\(24\) −1.62449 + 4.62180i −0.331598 + 0.943421i
\(25\) −4.59808 + 1.96410i −0.919615 + 0.392821i
\(26\) 0.278580 5.90511i 0.0546341 1.15809i
\(27\) 5.19228 0.200515i 0.999255 0.0385890i
\(28\) 4.43838 + 1.92084i 0.838774 + 0.363004i
\(29\) −3.66968 1.19235i −0.681443 0.221414i −0.0522158 0.998636i \(-0.516628\pi\)
−0.629227 + 0.777222i \(0.716628\pi\)
\(30\) 1.47305 + 5.27543i 0.268941 + 0.963157i
\(31\) 0.927208 0.301268i 0.166531 0.0541093i −0.224565 0.974459i \(-0.572096\pi\)
0.391096 + 0.920350i \(0.372096\pi\)
\(32\) −1.32104 + 5.50044i −0.233529 + 0.972350i
\(33\) −1.10436 9.34863i −0.192245 1.62739i
\(34\) 3.97343 + 3.18343i 0.681438 + 0.545954i
\(35\) 5.29726 1.08400i 0.895400 0.183230i
\(36\) 5.94055 0.842544i 0.990091 0.140424i
\(37\) 4.42936 + 3.21812i 0.728183 + 0.529056i 0.888988 0.457930i \(-0.151409\pi\)
−0.160805 + 0.986986i \(0.551409\pi\)
\(38\) 8.15752 + 6.53564i 1.32332 + 1.06022i
\(39\) −6.57591 + 3.02975i −1.05299 + 0.485148i
\(40\) 2.31406 + 5.88601i 0.365886 + 0.930660i
\(41\) 1.05987 1.45879i 0.165524 0.227824i −0.718195 0.695842i \(-0.755032\pi\)
0.883719 + 0.468017i \(0.155032\pi\)
\(42\) −0.416907 5.90842i −0.0643302 0.911689i
\(43\) 4.88416i 0.744827i 0.928067 + 0.372414i \(0.121470\pi\)
−0.928067 + 0.372414i \(0.878530\pi\)
\(44\) −2.37084 10.6082i −0.357417 1.59925i
\(45\) 4.90292 4.57836i 0.730884 0.682501i
\(46\) 0.986641 + 0.372840i 0.145472 + 0.0549722i
\(47\) 2.13830 6.58101i 0.311903 0.959940i −0.665107 0.746748i \(-0.731614\pi\)
0.977010 0.213192i \(-0.0683859\pi\)
\(48\) 6.72435 1.66825i 0.970577 0.240791i
\(49\) 1.15280 0.164686
\(50\) 5.89163 + 3.91007i 0.833203 + 0.552968i
\(51\) 1.21789 6.11559i 0.170538 0.856353i
\(52\) −7.19628 + 4.25553i −0.997944 + 0.590136i
\(53\) −4.55991 1.48160i −0.626351 0.203514i −0.0213931 0.999771i \(-0.506810\pi\)
−0.604958 + 0.796257i \(0.706810\pi\)
\(54\) −4.26838 5.98172i −0.580853 0.814009i
\(55\) −8.96941 8.20023i −1.20944 1.10572i
\(56\) −1.17555 6.73763i −0.157089 0.900354i
\(57\) 2.50034 12.5554i 0.331179 1.66300i
\(58\) 1.43981 + 5.26341i 0.189056 + 0.691119i
\(59\) 7.42456 + 5.39426i 0.966596 + 0.702273i 0.954673 0.297656i \(-0.0962048\pi\)
0.0119226 + 0.999929i \(0.496205\pi\)
\(60\) 5.09198 5.83710i 0.657372 0.753566i
\(61\) −8.05374 + 5.85138i −1.03118 + 0.749193i −0.968544 0.248844i \(-0.919949\pi\)
−0.0626320 + 0.998037i \(0.519949\pi\)
\(62\) −1.07600 0.862072i −0.136653 0.109483i
\(63\) −6.18700 + 3.78759i −0.779489 + 0.477192i
\(64\) 7.52733 2.70912i 0.940916 0.338641i
\(65\) −3.86656 + 8.50998i −0.479587 + 1.05553i
\(66\) −10.1929 + 8.56380i −1.25465 + 1.05413i
\(67\) 1.52430 0.495274i 0.186222 0.0605073i −0.214421 0.976741i \(-0.568787\pi\)
0.400644 + 0.916234i \(0.368787\pi\)
\(68\) 0.677859 7.16836i 0.0822025 0.869291i
\(69\) −0.151546 1.28286i −0.0182440 0.154439i
\(70\) −5.39419 5.41985i −0.644729 0.647795i
\(71\) −3.21134 + 9.88348i −0.381115 + 1.17295i 0.558144 + 0.829744i \(0.311514\pi\)
−0.939259 + 0.343209i \(0.888486\pi\)
\(72\) −5.60824 6.36770i −0.660937 0.750441i
\(73\) 3.45636 2.51119i 0.404536 0.293913i −0.366850 0.930280i \(-0.619564\pi\)
0.771386 + 0.636367i \(0.219564\pi\)
\(74\) 0.364870 7.73421i 0.0424153 0.899084i
\(75\) 0.925188 8.61069i 0.106832 0.994277i
\(76\) 1.39165 14.7168i 0.159634 1.68813i
\(77\) 7.72484 + 10.6323i 0.880327 + 1.21167i
\(78\) 8.68687 + 5.42053i 0.983595 + 0.613755i
\(79\) 8.43495 + 2.74068i 0.949006 + 0.308351i 0.742311 0.670055i \(-0.233729\pi\)
0.206694 + 0.978406i \(0.433729\pi\)
\(80\) 5.16073 7.30526i 0.576987 0.816753i
\(81\) −4.09309 + 8.01540i −0.454788 + 0.890600i
\(82\) −2.54722 0.120168i −0.281293 0.0132703i
\(83\) −2.68916 8.27640i −0.295174 0.908453i −0.983163 0.182731i \(-0.941506\pi\)
0.687989 0.725721i \(-0.258494\pi\)
\(84\) −6.66019 + 5.08018i −0.726687 + 0.554293i
\(85\) −3.97207 7.00205i −0.430832 0.759479i
\(86\) 5.77319 3.79214i 0.622539 0.408916i
\(87\) 4.90862 4.53544i 0.526259 0.486251i
\(88\) −10.6984 + 11.0388i −1.14046 + 1.17674i
\(89\) 7.10249 + 9.77574i 0.752863 + 1.03623i 0.997774 + 0.0666812i \(0.0212411\pi\)
−0.244912 + 0.969545i \(0.578759\pi\)
\(90\) −9.21843 2.24066i −0.971708 0.236186i
\(91\) 5.94140 8.17763i 0.622828 0.857249i
\(92\) −0.325337 1.45571i −0.0339187 0.151768i
\(93\) −0.329804 + 1.65610i −0.0341990 + 0.171729i
\(94\) −9.43912 + 2.58208i −0.973571 + 0.266321i
\(95\) −8.15473 14.3753i −0.836657 1.47488i
\(96\) −7.19280 6.65309i −0.734112 0.679028i
\(97\) 0.0838452 0.258049i 0.00851319 0.0262009i −0.946710 0.322088i \(-0.895615\pi\)
0.955223 + 0.295887i \(0.0956153\pi\)
\(98\) −0.895051 1.36264i −0.0904138 0.137647i
\(99\) 15.0610 + 6.24635i 1.51368 + 0.627782i
\(100\) 0.0474474 9.99989i 0.00474474 0.999989i
\(101\) 3.26886i 0.325263i −0.986687 0.162632i \(-0.948002\pi\)
0.986687 0.162632i \(-0.0519983\pi\)
\(102\) −8.17435 + 3.30866i −0.809382 + 0.327606i
\(103\) 12.9779 + 4.21677i 1.27875 + 0.415490i 0.868139 0.496321i \(-0.165316\pi\)
0.410609 + 0.911812i \(0.365316\pi\)
\(104\) 10.6174 + 5.20211i 1.04113 + 0.510109i
\(105\) −2.84700 + 8.92203i −0.277839 + 0.870701i
\(106\) 1.78909 + 6.54026i 0.173772 + 0.635246i
\(107\) 14.9106 1.44146 0.720731 0.693214i \(-0.243806\pi\)
0.720731 + 0.693214i \(0.243806\pi\)
\(108\) −3.75650 + 9.68962i −0.361469 + 0.932384i
\(109\) −0.319183 0.231900i −0.0305722 0.0222120i 0.572394 0.819979i \(-0.306015\pi\)
−0.602966 + 0.797767i \(0.706015\pi\)
\(110\) −2.72888 + 16.9688i −0.260189 + 1.61792i
\(111\) −8.61278 + 3.96821i −0.817489 + 0.376646i
\(112\) −7.05133 + 6.62072i −0.666288 + 0.625600i
\(113\) −0.985549 + 1.35649i −0.0927127 + 0.127608i −0.852853 0.522150i \(-0.825130\pi\)
0.760141 + 0.649758i \(0.225130\pi\)
\(114\) −16.7821 + 6.79273i −1.57179 + 0.636198i
\(115\) −1.23082 1.12527i −0.114775 0.104932i
\(116\) 5.10358 5.78848i 0.473856 0.537447i
\(117\) 0.989517 12.5015i 0.0914808 1.15576i
\(118\) 0.611600 12.9642i 0.0563023 1.19345i
\(119\) 2.69017 + 8.27948i 0.246607 + 0.758979i
\(120\) −10.8531 1.48683i −0.990746 0.135728i
\(121\) 5.72881 17.6315i 0.520801 1.60286i
\(122\) 13.1695 + 4.97661i 1.19231 + 0.450561i
\(123\) 1.30691 + 2.83657i 0.117840 + 0.255765i
\(124\) −0.183564 + 1.94119i −0.0164845 + 0.174324i
\(125\) −6.36397 9.19238i −0.569210 0.822192i
\(126\) 9.28070 + 4.37244i 0.826791 + 0.389528i
\(127\) 7.48532 + 10.3027i 0.664215 + 0.914213i 0.999612 0.0278639i \(-0.00887051\pi\)
−0.335397 + 0.942077i \(0.608871\pi\)
\(128\) −9.04658 6.79407i −0.799612 0.600517i
\(129\) −7.38005 4.13520i −0.649777 0.364084i
\(130\) 13.0610 2.03691i 1.14553 0.178649i
\(131\) −2.50370 7.70560i −0.218749 0.673241i −0.998866 0.0476075i \(-0.984840\pi\)
0.780117 0.625634i \(-0.215160\pi\)
\(132\) 18.0365 + 5.39913i 1.56988 + 0.469934i
\(133\) 5.52295 + 16.9979i 0.478901 + 1.47391i
\(134\) −1.76891 1.41722i −0.152811 0.122429i
\(135\) 2.76690 + 11.2847i 0.238137 + 0.971232i
\(136\) −8.99947 + 4.76438i −0.771698 + 0.408542i
\(137\) −0.670311 + 0.922604i −0.0572685 + 0.0788234i −0.836691 0.547676i \(-0.815513\pi\)
0.779422 + 0.626499i \(0.215513\pi\)
\(138\) −1.39871 + 1.17517i −0.119066 + 0.100037i
\(139\) −4.51555 6.21512i −0.383004 0.527159i 0.573374 0.819294i \(-0.305634\pi\)
−0.956377 + 0.292135i \(0.905634\pi\)
\(140\) −2.21825 + 10.5841i −0.187477 + 0.894520i
\(141\) 8.13363 + 8.80286i 0.684975 + 0.741334i
\(142\) 14.1758 3.87781i 1.18961 0.325418i
\(143\) −22.7192 −1.89987
\(144\) −3.17245 + 11.5731i −0.264371 + 0.964421i
\(145\) 0.966975 8.57358i 0.0803029 0.711997i
\(146\) −5.65186 2.13577i −0.467751 0.176758i
\(147\) −0.976023 + 1.74190i −0.0805010 + 0.143670i
\(148\) −9.42531 + 5.57367i −0.774756 + 0.458153i
\(149\) 10.9006i 0.893009i 0.894781 + 0.446504i \(0.147331\pi\)
−0.894781 + 0.446504i \(0.852669\pi\)
\(150\) −10.8964 + 5.59188i −0.889685 + 0.456575i
\(151\) 15.6536i 1.27387i 0.770918 + 0.636934i \(0.219798\pi\)
−0.770918 + 0.636934i \(0.780202\pi\)
\(152\) −18.4760 + 9.78134i −1.49861 + 0.793371i
\(153\) 8.20963 + 7.01804i 0.663709 + 0.567375i
\(154\) 6.56998 17.3860i 0.529424 1.40101i
\(155\) 1.07564 + 1.89615i 0.0863971 + 0.152303i
\(156\) −0.337421 14.4767i −0.0270153 1.15906i
\(157\) −2.53522 −0.202333 −0.101166 0.994870i \(-0.532257\pi\)
−0.101166 + 0.994870i \(0.532257\pi\)
\(158\) −3.30947 12.0982i −0.263287 0.962482i
\(159\) 6.09940 5.63569i 0.483714 0.446940i
\(160\) −12.6419 0.428183i −0.999427 0.0338508i
\(161\) 1.06004 + 1.45902i 0.0835427 + 0.114987i
\(162\) 12.6523 1.38515i 0.994061 0.108827i
\(163\) −4.10076 + 5.64421i −0.321196 + 0.442088i −0.938832 0.344376i \(-0.888091\pi\)
0.617636 + 0.786464i \(0.288091\pi\)
\(164\) 1.83566 + 3.10417i 0.143341 + 0.242395i
\(165\) 19.9847 6.61017i 1.55581 0.514601i
\(166\) −7.69499 + 9.60458i −0.597247 + 0.745460i
\(167\) 3.04199 + 9.36229i 0.235396 + 0.724475i 0.997069 + 0.0765130i \(0.0243787\pi\)
−0.761672 + 0.647963i \(0.775621\pi\)
\(168\) 11.1760 + 3.92818i 0.862245 + 0.303066i
\(169\) 1.38254 + 4.25502i 0.106349 + 0.327309i
\(170\) −5.19261 + 10.1316i −0.398255 + 0.777057i
\(171\) 16.8545 + 14.4081i 1.28890 + 1.10182i
\(172\) −8.96479 3.87978i −0.683558 0.295830i
\(173\) −4.28821 5.90221i −0.326026 0.448737i 0.614269 0.789097i \(-0.289451\pi\)
−0.940295 + 0.340360i \(0.889451\pi\)
\(174\) −9.17213 2.28071i −0.695337 0.172901i
\(175\) 4.74940 + 11.1186i 0.359021 + 0.840487i
\(176\) 21.3545 + 4.07512i 1.60966 + 0.307173i
\(177\) −14.4369 + 6.65157i −1.08514 + 0.499963i
\(178\) 6.04067 15.9853i 0.452768 1.19815i
\(179\) −3.23376 + 9.95248i −0.241702 + 0.743883i 0.754459 + 0.656347i \(0.227899\pi\)
−0.996161 + 0.0875361i \(0.972101\pi\)
\(180\) 4.50881 + 12.6361i 0.336067 + 0.941838i
\(181\) −3.18442 9.80064i −0.236696 0.728476i −0.996892 0.0787818i \(-0.974897\pi\)
0.760196 0.649694i \(-0.225103\pi\)
\(182\) −14.2791 0.673634i −1.05844 0.0499331i
\(183\) −2.02281 17.1234i −0.149530 1.26580i
\(184\) −1.46809 + 1.51479i −0.108229 + 0.111672i
\(185\) −5.06421 + 11.1459i −0.372328 + 0.819465i
\(186\) 2.21361 0.895984i 0.162310 0.0656967i
\(187\) 11.5011 15.8299i 0.841041 1.15759i
\(188\) 10.3808 + 9.15250i 0.757094 + 0.667515i
\(189\) −0.484864 12.5554i −0.0352687 0.913275i
\(190\) −10.6605 + 20.8003i −0.773395 + 1.50901i
\(191\) −1.96713 1.42920i −0.142336 0.103413i 0.514338 0.857587i \(-0.328038\pi\)
−0.656675 + 0.754174i \(0.728038\pi\)
\(192\) −2.27951 + 13.6676i −0.164510 + 0.986375i
\(193\) −10.0809 −0.725641 −0.362820 0.931859i \(-0.618186\pi\)
−0.362820 + 0.931859i \(0.618186\pi\)
\(194\) −0.370119 + 0.101246i −0.0265730 + 0.00726905i
\(195\) −9.58509 13.0474i −0.686402 0.934347i
\(196\) −0.915737 + 2.11594i −0.0654098 + 0.151139i
\(197\) −9.28825 3.01794i −0.661761 0.215019i −0.0411680 0.999152i \(-0.513108\pi\)
−0.620593 + 0.784133i \(0.713108\pi\)
\(198\) −4.31022 22.6522i −0.306314 1.60982i
\(199\) 3.38793i 0.240164i 0.992764 + 0.120082i \(0.0383157\pi\)
−0.992764 + 0.120082i \(0.961684\pi\)
\(200\) −11.8569 + 7.70798i −0.838412 + 0.545036i
\(201\) −0.542185 + 2.72256i −0.0382428 + 0.192035i
\(202\) −3.86387 + 2.53799i −0.271861 + 0.178572i
\(203\) −2.88322 + 8.87365i −0.202363 + 0.622808i
\(204\) 10.2576 + 7.09338i 0.718176 + 0.496636i
\(205\) 3.67085 + 1.66787i 0.256383 + 0.116489i
\(206\) −5.09190 18.6141i −0.354769 1.29691i
\(207\) 2.06674 + 0.857154i 0.143648 + 0.0595763i
\(208\) −2.09452 16.5891i −0.145229 1.15024i
\(209\) 23.6119 32.4990i 1.63327 2.24800i
\(210\) 12.7565 3.56198i 0.880282 0.245800i
\(211\) −3.99456 5.49804i −0.274997 0.378501i 0.649072 0.760727i \(-0.275157\pi\)
−0.924069 + 0.382226i \(0.875157\pi\)
\(212\) 6.34166 7.19270i 0.435547 0.493997i
\(213\) −12.2152 13.2203i −0.836973 0.905839i
\(214\) −11.5768 17.6247i −0.791375 1.20480i
\(215\) −10.6996 + 2.18951i −0.729706 + 0.149323i
\(216\) 14.3700 3.08290i 0.977752 0.209765i
\(217\) −0.728496 2.24208i −0.0494535 0.152202i
\(218\) −0.0262927 + 0.557332i −0.00178077 + 0.0377473i
\(219\) 0.868112 + 7.34873i 0.0586616 + 0.496581i
\(220\) 22.1763 9.94926i 1.49513 0.670779i
\(221\) −14.3128 4.65052i −0.962784 0.312828i
\(222\) 11.3776 + 7.09953i 0.763615 + 0.476489i
\(223\) −12.8992 17.7543i −0.863797 1.18891i −0.980651 0.195765i \(-0.937281\pi\)
0.116854 0.993149i \(-0.462719\pi\)
\(224\) 13.3006 + 3.19441i 0.888684 + 0.213435i
\(225\) 12.2276 + 8.68826i 0.815173 + 0.579217i
\(226\) 2.36860 + 0.111741i 0.157557 + 0.00743292i
\(227\) 11.6050 8.43149i 0.770248 0.559618i −0.131789 0.991278i \(-0.542072\pi\)
0.902036 + 0.431660i \(0.142072\pi\)
\(228\) 21.0590 + 14.5628i 1.39467 + 0.964447i
\(229\) −7.05514 + 21.7135i −0.466217 + 1.43487i 0.391228 + 0.920294i \(0.372050\pi\)
−0.857445 + 0.514575i \(0.827950\pi\)
\(230\) −0.374470 + 2.32854i −0.0246918 + 0.153540i
\(231\) −22.6059 + 2.67046i −1.48736 + 0.175703i
\(232\) −10.8046 1.53829i −0.709358 0.100994i
\(233\) −13.5636 + 4.40708i −0.888580 + 0.288717i −0.717515 0.696543i \(-0.754721\pi\)
−0.171065 + 0.985260i \(0.554721\pi\)
\(234\) −15.5453 + 8.53670i −1.01623 + 0.558061i
\(235\) 15.3754 + 1.73412i 1.00298 + 0.113122i
\(236\) −15.7988 + 9.34267i −1.02842 + 0.608156i
\(237\) −11.2827 + 10.4249i −0.732891 + 0.677173i
\(238\) 7.69786 9.60816i 0.498978 0.622804i
\(239\) 9.77091 7.09898i 0.632028 0.459195i −0.225074 0.974342i \(-0.572262\pi\)
0.857102 + 0.515147i \(0.172262\pi\)
\(240\) 6.66903 + 13.9830i 0.430484 + 0.902598i
\(241\) −18.3021 13.2972i −1.17894 0.856550i −0.186888 0.982381i \(-0.559840\pi\)
−0.992052 + 0.125832i \(0.959840\pi\)
\(242\) −25.2888 + 6.91775i −1.62562 + 0.444690i
\(243\) −8.64598 12.9710i −0.554640 0.832091i
\(244\) −4.34255 19.4306i −0.278003 1.24392i
\(245\) 0.516786 + 2.52540i 0.0330163 + 0.161342i
\(246\) 2.33819 3.74715i 0.149078 0.238910i
\(247\) −29.3844 9.54758i −1.86969 0.607498i
\(248\) 2.43705 1.29019i 0.154753 0.0819272i
\(249\) 14.7826 + 2.94388i 0.936808 + 0.186561i
\(250\) −5.92454 + 14.6595i −0.374701 + 0.927146i
\(251\) 22.4679 1.41816 0.709080 0.705128i \(-0.249111\pi\)
0.709080 + 0.705128i \(0.249111\pi\)
\(252\) −2.03735 14.3648i −0.128341 0.904899i
\(253\) 1.25259 3.85507i 0.0787495 0.242366i
\(254\) 6.36627 16.8470i 0.399455 1.05707i
\(255\) 13.9432 0.0735523i 0.873157 0.00460602i
\(256\) −1.00685 + 15.9683i −0.0629282 + 0.998018i
\(257\) 14.6794i 0.915675i 0.889036 + 0.457837i \(0.151376\pi\)
−0.889036 + 0.457837i \(0.848624\pi\)
\(258\) 0.842084 + 11.9340i 0.0524258 + 0.742980i
\(259\) 7.78174 10.7106i 0.483534 0.665527i
\(260\) −12.5485 13.8570i −0.778223 0.859373i
\(261\) 2.69723 + 11.2570i 0.166954 + 0.696789i
\(262\) −7.16429 + 8.94218i −0.442611 + 0.552450i
\(263\) 0.272509 + 0.197990i 0.0168036 + 0.0122086i 0.596155 0.802869i \(-0.296694\pi\)
−0.579352 + 0.815078i \(0.696694\pi\)
\(264\) −7.62191 25.5115i −0.469096 1.57013i
\(265\) 1.20155 10.6534i 0.0738108 0.654435i
\(266\) 15.8038 19.7257i 0.968994 1.20946i
\(267\) −20.7847 + 2.45531i −1.27200 + 0.150263i
\(268\) −0.301772 + 3.19124i −0.0184337 + 0.194936i
\(269\) 4.55805 1.48100i 0.277909 0.0902981i −0.166746 0.986000i \(-0.553326\pi\)
0.444655 + 0.895702i \(0.353326\pi\)
\(270\) 11.1905 12.0321i 0.681033 0.732253i
\(271\) −1.31182 0.426235i −0.0796871 0.0258919i 0.268902 0.963168i \(-0.413339\pi\)
−0.348589 + 0.937276i \(0.613339\pi\)
\(272\) 12.6189 + 6.93845i 0.765135 + 0.420705i
\(273\) 7.32624 + 15.9012i 0.443404 + 0.962384i
\(274\) 1.61098 + 0.0759997i 0.0973228 + 0.00459131i
\(275\) 13.9431 23.3251i 0.840802 1.40656i
\(276\) 2.47505 + 0.740894i 0.148981 + 0.0445966i
\(277\) 16.6056 12.0647i 0.997736 0.724898i 0.0361344 0.999347i \(-0.488496\pi\)
0.961602 + 0.274449i \(0.0884956\pi\)
\(278\) −3.84047 + 10.1630i −0.230336 + 0.609536i
\(279\) −2.22316 1.90048i −0.133097 0.113779i
\(280\) 14.2330 5.59563i 0.850582 0.334403i
\(281\) 29.4467 9.56781i 1.75664 0.570768i 0.759799 0.650158i \(-0.225297\pi\)
0.996844 + 0.0793905i \(0.0252974\pi\)
\(282\) 4.09012 16.4488i 0.243563 0.979512i
\(283\) −17.3687 + 5.64343i −1.03246 + 0.335467i −0.775763 0.631025i \(-0.782635\pi\)
−0.256698 + 0.966492i \(0.582635\pi\)
\(284\) −15.5900 13.7454i −0.925096 0.815638i
\(285\) 28.6256 0.151004i 1.69563 0.00894470i
\(286\) 17.6395 + 26.8546i 1.04305 + 1.58795i
\(287\) −3.52749 2.56287i −0.208221 0.151282i
\(288\) 16.1428 5.23558i 0.951221 0.308509i
\(289\) −3.26745 + 2.37394i −0.192203 + 0.139643i
\(290\) −10.8849 + 5.51367i −0.639186 + 0.323774i
\(291\) 0.318929 + 0.345170i 0.0186959 + 0.0202342i
\(292\) 1.86366 + 8.33887i 0.109062 + 0.487995i
\(293\) 0.678902i 0.0396619i −0.999803 0.0198309i \(-0.993687\pi\)
0.999803 0.0198309i \(-0.00631280\pi\)
\(294\) 2.81677 0.198756i 0.164277 0.0115917i
\(295\) −8.48871 + 18.6830i −0.494232 + 1.08776i
\(296\) 13.9062 + 6.81345i 0.808280 + 0.396024i
\(297\) −22.1898 + 17.4689i −1.28758 + 1.01365i
\(298\) 12.8847 8.46336i 0.746392 0.490269i
\(299\) −3.11763 −0.180297
\(300\) 15.0698 + 8.53815i 0.870058 + 0.492950i
\(301\) 11.8104 0.680739
\(302\) 18.5029 12.1537i 1.06472 0.699365i
\(303\) 4.93930 + 2.76759i 0.283756 + 0.158994i
\(304\) 25.9069 + 14.2447i 1.48586 + 0.816992i
\(305\) −16.4288 15.0200i −0.940713 0.860042i
\(306\) 1.92141 15.1529i 0.109840 0.866233i
\(307\) 11.8120i 0.674144i 0.941479 + 0.337072i \(0.109437\pi\)
−0.941479 + 0.337072i \(0.890563\pi\)
\(308\) −25.6517 + 5.73291i −1.46164 + 0.326663i
\(309\) −17.3594 + 16.0396i −0.987541 + 0.912464i
\(310\) 1.40616 2.74363i 0.0798643 0.155828i
\(311\) −25.2760 + 18.3641i −1.43327 + 1.04133i −0.443874 + 0.896089i \(0.646396\pi\)
−0.989396 + 0.145242i \(0.953604\pi\)
\(312\) −16.8498 + 11.6387i −0.953931 + 0.658914i
\(313\) 24.0978 + 17.5081i 1.36209 + 0.989616i 0.998309 + 0.0581319i \(0.0185144\pi\)
0.363781 + 0.931484i \(0.381486\pi\)
\(314\) 1.96838 + 2.99669i 0.111082 + 0.169113i
\(315\) −11.0709 11.8557i −0.623776 0.667996i
\(316\) −11.7308 + 13.3051i −0.659912 + 0.748471i
\(317\) 22.8011 7.40851i 1.28064 0.416104i 0.411831 0.911260i \(-0.364889\pi\)
0.868804 + 0.495157i \(0.164889\pi\)
\(318\) −11.3972 2.83399i −0.639122 0.158922i
\(319\) 19.9446 6.48039i 1.11668 0.362832i
\(320\) 9.30921 + 15.2754i 0.520401 + 0.853922i
\(321\) −12.6241 + 22.5302i −0.704611 + 1.25751i
\(322\) 0.901564 2.38579i 0.0502422 0.132955i
\(323\) 21.5276 15.6407i 1.19783 0.870273i
\(324\) −11.4607 13.8799i −0.636707 0.771105i
\(325\) −20.3759 4.65543i −1.13025 0.258237i
\(326\) 9.85547 + 0.464943i 0.545844 + 0.0257508i
\(327\) 0.620642 0.285952i 0.0343216 0.0158132i
\(328\) 2.24397 4.57992i 0.123903 0.252884i
\(329\) −15.9135 5.17062i −0.877342 0.285066i
\(330\) −23.3298 18.4901i −1.28426 1.01785i
\(331\) −16.9808 + 5.51739i −0.933347 + 0.303263i −0.735931 0.677057i \(-0.763255\pi\)
−0.197417 + 0.980320i \(0.563255\pi\)
\(332\) 17.3273 + 1.63852i 0.950961 + 0.0899254i
\(333\) 1.29602 16.3738i 0.0710213 0.897277i
\(334\) 8.70459 10.8647i 0.476294 0.594491i
\(335\) 1.76830 + 3.11720i 0.0966128 + 0.170311i
\(336\) −4.03399 16.2602i −0.220072 0.887064i
\(337\) 2.89131 + 2.10066i 0.157500 + 0.114430i 0.663744 0.747960i \(-0.268967\pi\)
−0.506244 + 0.862390i \(0.668967\pi\)
\(338\) 3.95610 4.93785i 0.215184 0.268584i
\(339\) −1.21526 2.63766i −0.0660041 0.143258i
\(340\) 16.0074 1.72852i 0.868123 0.0937424i
\(341\) −3.11448 + 4.28672i −0.168659 + 0.232139i
\(342\) 3.94469 31.1091i 0.213304 1.68219i
\(343\) 19.7143i 1.06447i
\(344\) 2.37441 + 13.6089i 0.128020 + 0.733743i
\(345\) 2.74239 0.907079i 0.147646 0.0488355i
\(346\) −3.64712 + 9.65133i −0.196071 + 0.518859i
\(347\) −4.86918 + 14.9858i −0.261392 + 0.804480i 0.731111 + 0.682258i \(0.239002\pi\)
−0.992503 + 0.122222i \(0.960998\pi\)
\(348\) 4.42552 + 12.6124i 0.237233 + 0.676098i
\(349\) −12.0965 −0.647511 −0.323755 0.946141i \(-0.604945\pi\)
−0.323755 + 0.946141i \(0.604945\pi\)
\(350\) 9.45494 14.2465i 0.505388 0.761510i
\(351\) 18.0522 + 12.0796i 0.963553 + 0.644762i
\(352\) −11.7631 28.4055i −0.626974 1.51402i
\(353\) 12.1828 + 3.95842i 0.648423 + 0.210685i 0.614719 0.788746i \(-0.289270\pi\)
0.0337045 + 0.999432i \(0.489270\pi\)
\(354\) 19.0713 + 11.9003i 1.01363 + 0.632496i
\(355\) −23.0910 2.60433i −1.22555 0.138224i
\(356\) −23.5851 + 5.27105i −1.25001 + 0.279365i
\(357\) −14.7881 2.94497i −0.782669 0.155865i
\(358\) 14.2748 3.90488i 0.754447 0.206379i
\(359\) −10.9861 7.98186i −0.579824 0.421267i 0.258837 0.965921i \(-0.416661\pi\)
−0.838661 + 0.544654i \(0.816661\pi\)
\(360\) 11.4354 15.1404i 0.602700 0.797968i
\(361\) 28.8252 20.9427i 1.51711 1.10225i
\(362\) −9.11216 + 11.3734i −0.478924 + 0.597774i
\(363\) 21.7912 + 23.5841i 1.14374 + 1.23785i
\(364\) 10.2903 + 17.4013i 0.539358 + 0.912076i
\(365\) 7.05064 + 6.44600i 0.369047 + 0.337399i
\(366\) −18.6698 + 15.6859i −0.975885 + 0.819916i
\(367\) −32.4074 + 10.5298i −1.69165 + 0.549651i −0.987114 0.160017i \(-0.948845\pi\)
−0.704536 + 0.709668i \(0.748845\pi\)
\(368\) 2.93037 + 0.559207i 0.152756 + 0.0291507i
\(369\) −5.39261 0.426836i −0.280728 0.0222202i
\(370\) 17.1067 2.66785i 0.889334 0.138695i
\(371\) −3.58266 + 11.0263i −0.186003 + 0.572457i
\(372\) −2.77775 1.92088i −0.144020 0.0995932i
\(373\) −15.2003 + 11.0437i −0.787043 + 0.571820i −0.907084 0.420949i \(-0.861697\pi\)
0.120041 + 0.992769i \(0.461697\pi\)
\(374\) −27.6409 1.30399i −1.42928 0.0674276i
\(375\) 19.2779 1.83329i 0.995509 0.0946706i
\(376\) 2.75870 19.3764i 0.142269 0.999263i
\(377\) −9.48062 13.0490i −0.488277 0.672055i
\(378\) −14.4644 + 10.3214i −0.743967 + 0.530874i
\(379\) −4.26825 1.38684i −0.219245 0.0712370i 0.197335 0.980336i \(-0.436771\pi\)
−0.416580 + 0.909099i \(0.636771\pi\)
\(380\) 32.8634 3.54869i 1.68586 0.182044i
\(381\) −21.9050 + 2.58766i −1.12223 + 0.132570i
\(382\) −0.162042 + 3.43484i −0.00829081 + 0.175742i
\(383\) 5.88153 + 18.1015i 0.300532 + 0.924943i 0.981307 + 0.192450i \(0.0616434\pi\)
−0.680774 + 0.732493i \(0.738357\pi\)
\(384\) 17.9253 7.91731i 0.914746 0.404029i
\(385\) −19.8290 + 21.6889i −1.01058 + 1.10537i
\(386\) 7.82698 + 11.9159i 0.398383 + 0.606503i
\(387\) 12.4967 7.65031i 0.635244 0.388887i
\(388\) 0.407041 + 0.358880i 0.0206644 + 0.0182194i
\(389\) 15.3395 + 21.1130i 0.777744 + 1.07047i 0.995527 + 0.0944751i \(0.0301173\pi\)
−0.217784 + 0.975997i \(0.569883\pi\)
\(390\) −7.98038 + 21.4600i −0.404102 + 1.08667i
\(391\) 1.57823 2.17225i 0.0798146 0.109855i
\(392\) 3.21209 0.560427i 0.162235 0.0283059i
\(393\) 13.7631 + 2.74085i 0.694255 + 0.138257i
\(394\) 3.64427 + 13.3221i 0.183596 + 0.671158i
\(395\) −2.22264 + 19.7068i −0.111833 + 0.991557i
\(396\) −23.4289 + 22.6823i −1.17735 + 1.13983i
\(397\) 6.41425 19.7410i 0.321922 0.990774i −0.650889 0.759173i \(-0.725604\pi\)
0.972811 0.231601i \(-0.0743965\pi\)
\(398\) 4.00461 2.63044i 0.200733 0.131852i
\(399\) −30.3602 6.04608i −1.51991 0.302682i
\(400\) 18.3169 + 8.03059i 0.915846 + 0.401530i
\(401\) 6.86962i 0.343052i −0.985180 0.171526i \(-0.945130\pi\)
0.985180 0.171526i \(-0.0548698\pi\)
\(402\) 3.63909 1.47296i 0.181502 0.0734648i
\(403\) 3.87590 + 1.25936i 0.193073 + 0.0627331i
\(404\) 5.99993 + 2.59665i 0.298508 + 0.129188i
\(405\) −19.3940 5.37340i −0.963695 0.267007i
\(406\) 12.7274 3.48160i 0.631652 0.172789i
\(407\) −29.7564 −1.47497
\(408\) 0.420385 17.6321i 0.0208121 0.872921i
\(409\) −6.98257 5.07313i −0.345266 0.250850i 0.401614 0.915809i \(-0.368449\pi\)
−0.746880 + 0.664959i \(0.768449\pi\)
\(410\) −0.878640 5.63399i −0.0433929 0.278243i
\(411\) −0.826549 1.79398i −0.0407707 0.0884905i
\(412\) −18.0489 + 20.4710i −0.889205 + 1.00853i
\(413\) 13.0439 17.9533i 0.641846 0.883425i
\(414\) −0.591469 3.10844i −0.0290691 0.152771i
\(415\) 16.9253 9.60129i 0.830832 0.471309i
\(416\) −17.9824 + 15.3558i −0.881661 + 0.752879i
\(417\) 13.2143 1.56101i 0.647105 0.0764431i
\(418\) −56.7471 2.67711i −2.77559 0.130942i
\(419\) −6.32764 19.4745i −0.309125 0.951390i −0.978106 0.208110i \(-0.933269\pi\)
0.668980 0.743280i \(-0.266731\pi\)
\(420\) −14.1147 12.3129i −0.688726 0.600808i
\(421\) −4.72590 + 14.5448i −0.230326 + 0.708871i 0.767381 + 0.641191i \(0.221560\pi\)
−0.997707 + 0.0676794i \(0.978440\pi\)
\(422\) −3.39738 + 8.99042i −0.165382 + 0.437647i
\(423\) −20.1877 + 4.83707i −0.981557 + 0.235187i
\(424\) −13.4257 1.91147i −0.652010 0.0928291i
\(425\) 13.5586 11.8404i 0.657686 0.574346i
\(426\) −6.14260 + 24.7031i −0.297610 + 1.19687i
\(427\) 14.1492 + 19.4747i 0.684729 + 0.942448i
\(428\) −11.8444 + 27.3681i −0.572520 + 1.32289i
\(429\) 19.2353 34.3291i 0.928689 1.65742i
\(430\) 10.8954 + 10.9472i 0.525421 + 0.527920i
\(431\) −6.98814 21.5073i −0.336607 1.03597i −0.965925 0.258822i \(-0.916666\pi\)
0.629318 0.777148i \(-0.283334\pi\)
\(432\) −14.8011 14.5920i −0.712119 0.702059i
\(433\) 0.215800 + 0.664163i 0.0103707 + 0.0319176i 0.956108 0.293015i \(-0.0946585\pi\)
−0.945737 + 0.324932i \(0.894658\pi\)
\(434\) −2.08458 + 2.60188i −0.100063 + 0.124894i
\(435\) 12.1361 + 8.71998i 0.581883 + 0.418091i
\(436\) 0.679194 0.401642i 0.0325275 0.0192352i
\(437\) 3.24013 4.45966i 0.154997 0.213334i
\(438\) 8.01236 6.73179i 0.382845 0.321658i
\(439\) 7.33583 + 10.0969i 0.350120 + 0.481899i 0.947363 0.320161i \(-0.103737\pi\)
−0.597243 + 0.802060i \(0.703737\pi\)
\(440\) −28.9783 18.4882i −1.38149 0.881389i
\(441\) −1.80569 2.94958i −0.0859852 0.140456i
\(442\) 5.61567 + 20.5288i 0.267110 + 0.976456i
\(443\) −3.23949 −0.153913 −0.0769564 0.997034i \(-0.524520\pi\)
−0.0769564 + 0.997034i \(0.524520\pi\)
\(444\) −0.441936 18.9608i −0.0209734 0.899839i
\(445\) −18.2315 + 19.9416i −0.864255 + 0.945321i
\(446\) −10.9708 + 29.0319i −0.519483 + 1.37470i
\(447\) −16.4709 9.22902i −0.779049 0.436517i
\(448\) −6.55093 18.2018i −0.309502 0.859955i
\(449\) 2.23326i 0.105394i 0.998611 + 0.0526971i \(0.0167818\pi\)
−0.998611 + 0.0526971i \(0.983218\pi\)
\(450\) 0.776038 21.1990i 0.0365828 0.999331i
\(451\) 9.80011i 0.461469i
\(452\) −1.70694 2.88650i −0.0802876 0.135770i
\(453\) −23.6528 13.2532i −1.11131 0.622688i
\(454\) −18.9765 7.17099i −0.890610 0.336551i
\(455\) 20.5780 + 9.34971i 0.964710 + 0.438321i
\(456\) 0.863057 36.1991i 0.0404163 1.69518i
\(457\) 16.6767 0.780103 0.390051 0.920793i \(-0.372457\pi\)
0.390051 + 0.920793i \(0.372457\pi\)
\(458\) 31.1436 8.51934i 1.45524 0.398083i
\(459\) −17.5551 + 6.46304i −0.819402 + 0.301669i
\(460\) 3.04314 1.36528i 0.141887 0.0636567i
\(461\) −18.0344 24.8222i −0.839946 1.15609i −0.985989 0.166808i \(-0.946654\pi\)
0.146044 0.989278i \(-0.453346\pi\)
\(462\) 20.7081 + 24.6473i 0.963429 + 1.14670i
\(463\) 11.9903 16.5033i 0.557238 0.766972i −0.433734 0.901041i \(-0.642804\pi\)
0.990972 + 0.134069i \(0.0428042\pi\)
\(464\) 6.57057 + 13.9657i 0.305031 + 0.648340i
\(465\) −3.77581 + 0.0199179i −0.175099 + 0.000923671i
\(466\) 15.7402 + 12.6108i 0.729153 + 0.584182i
\(467\) −8.04361 24.7557i −0.372214 1.14556i −0.945339 0.326088i \(-0.894269\pi\)
0.573126 0.819468i \(-0.305731\pi\)
\(468\) 22.1602 + 11.7469i 1.02436 + 0.543000i
\(469\) −1.19762 3.68590i −0.0553010 0.170199i
\(470\) −9.88793 19.5205i −0.456096 0.900413i
\(471\) 2.14646 3.83077i 0.0989036 0.176512i
\(472\) 23.3097 + 11.4208i 1.07292 + 0.525685i
\(473\) −15.6029 21.4755i −0.717422 0.987446i
\(474\) 21.0826 + 5.24234i 0.968356 + 0.240789i
\(475\) 27.8359 24.3086i 1.27720 1.11536i
\(476\) −17.3338 1.63913i −0.794493 0.0751294i
\(477\) 3.35155 + 13.9878i 0.153457 + 0.640457i
\(478\) −15.9774 6.03769i −0.730792 0.276158i
\(479\) 3.27797 10.0886i 0.149774 0.460958i −0.847820 0.530284i \(-0.822085\pi\)
0.997594 + 0.0693268i \(0.0220851\pi\)
\(480\) 11.3503 18.7396i 0.518067 0.855340i
\(481\) 7.07232 + 21.7664i 0.322470 + 0.992461i
\(482\) −1.50764 + 31.9576i −0.0686709 + 1.45563i
\(483\) −3.10209 + 0.366453i −0.141150 + 0.0166742i
\(484\) 27.8115 + 24.5209i 1.26416 + 1.11458i
\(485\) 0.602887 + 0.0679970i 0.0273757 + 0.00308758i
\(486\) −8.61917 + 20.2906i −0.390974 + 0.920402i
\(487\) 17.0030 23.4026i 0.770480 1.06047i −0.225789 0.974176i \(-0.572496\pi\)
0.996269 0.0862987i \(-0.0275040\pi\)
\(488\) −19.5958 + 20.2192i −0.887060 + 0.915280i
\(489\) −5.05657 10.9750i −0.228666 0.496307i
\(490\) 2.58385 2.57162i 0.116726 0.116174i
\(491\) 0.524845 + 0.381322i 0.0236859 + 0.0172088i 0.599565 0.800326i \(-0.295340\pi\)
−0.575879 + 0.817535i \(0.695340\pi\)
\(492\) −6.24463 + 0.145549i −0.281530 + 0.00656187i
\(493\) 13.8914 0.625635
\(494\) 11.5291 + 42.1460i 0.518717 + 1.89624i
\(495\) −6.93205 + 35.7938i −0.311573 + 1.60881i
\(496\) −3.41720 1.87893i −0.153437 0.0843664i
\(497\) 23.8992 + 7.76533i 1.07203 + 0.348323i
\(498\) −7.99769 19.7590i −0.358385 0.885423i
\(499\) 10.1823i 0.455824i −0.973682 0.227912i \(-0.926810\pi\)
0.973682 0.227912i \(-0.0731899\pi\)
\(500\) 21.9277 4.37889i 0.980638 0.195830i
\(501\) −16.7221 3.33012i −0.747088 0.148779i
\(502\) −17.4444 26.5576i −0.778582 1.18532i
\(503\) −2.00477 + 6.17005i −0.0893883 + 0.275109i −0.985751 0.168213i \(-0.946200\pi\)
0.896362 + 0.443322i \(0.146200\pi\)
\(504\) −15.3977 + 13.5613i −0.685870 + 0.604067i
\(505\) 7.16099 1.46539i 0.318660 0.0652090i
\(506\) −5.52931 + 1.51255i −0.245808 + 0.0672408i
\(507\) −7.59994 1.51349i −0.337525 0.0672164i
\(508\) −24.8564 + 5.55516i −1.10282 + 0.246470i
\(509\) −3.27693 + 4.51030i −0.145247 + 0.199916i −0.875442 0.483324i \(-0.839429\pi\)
0.730195 + 0.683239i \(0.239429\pi\)
\(510\) −10.9127 16.4241i −0.483220 0.727271i
\(511\) −6.07231 8.35781i −0.268623 0.369728i
\(512\) 19.6566 11.2079i 0.868708 0.495324i
\(513\) −36.0409 + 13.2687i −1.59125 + 0.585828i
\(514\) 17.3514 11.3973i 0.765336 0.502713i
\(515\) −3.41972 + 30.3206i −0.150691 + 1.33608i
\(516\) 13.4525 10.2611i 0.592213 0.451721i
\(517\) 11.6216 + 35.7676i 0.511117 + 1.57306i
\(518\) −18.7021 0.882291i −0.821722 0.0387657i
\(519\) 12.5490 1.48242i 0.550839 0.0650711i
\(520\) −6.63644 + 25.5914i −0.291027 + 1.12225i
\(521\) 38.4192 + 12.4831i 1.68317 + 0.546896i 0.985523 0.169542i \(-0.0542288\pi\)
0.697651 + 0.716438i \(0.254229\pi\)
\(522\) 11.2118 11.9283i 0.490728 0.522086i
\(523\) 12.6433 + 17.4020i 0.552851 + 0.760934i 0.990396 0.138262i \(-0.0441518\pi\)
−0.437545 + 0.899197i \(0.644152\pi\)
\(524\) 16.1323 + 1.52552i 0.704744 + 0.0666425i
\(525\) −20.8215 2.23720i −0.908725 0.0976392i
\(526\) 0.0224480 0.475834i 0.000978780 0.0207474i
\(527\) −2.83956 + 2.06306i −0.123693 + 0.0898684i
\(528\) −24.2375 + 28.8168i −1.05480 + 1.25409i
\(529\) −6.93550 + 21.3453i −0.301544 + 0.928056i
\(530\) −13.5255 + 6.85123i −0.587511 + 0.297598i
\(531\) 2.17240 27.4460i 0.0942742 1.19105i
\(532\) −35.5866 3.36516i −1.54287 0.145898i
\(533\) 7.16864 2.32923i 0.310508 0.100890i
\(534\) 19.0398 + 22.6616i 0.823932 + 0.980665i
\(535\) 6.68425 + 32.6642i 0.288985 + 1.41220i
\(536\) 4.00642 2.12103i 0.173051 0.0916144i
\(537\) −12.3005 13.3126i −0.530806 0.574480i
\(538\) −5.28951 4.23785i −0.228047 0.182707i
\(539\) −5.06883 + 3.68272i −0.218330 + 0.158626i
\(540\) −22.9108 3.88550i −0.985922 0.167205i
\(541\) 14.1460 + 10.2777i 0.608185 + 0.441873i 0.848775 0.528754i \(-0.177341\pi\)
−0.240589 + 0.970627i \(0.577341\pi\)
\(542\) 0.514694 + 1.88153i 0.0221080 + 0.0808187i
\(543\) 17.5051 + 3.48604i 0.751214 + 0.149600i
\(544\) −1.59612 20.3030i −0.0684330 0.870483i
\(545\) 0.364930 0.803182i 0.0156319 0.0344045i
\(546\) 13.1074 21.0057i 0.560944 0.898962i
\(547\) 12.7002 + 4.12653i 0.543020 + 0.176438i 0.567667 0.823258i \(-0.307846\pi\)
−0.0246471 + 0.999696i \(0.507846\pi\)
\(548\) −1.16096 1.96322i −0.0495936 0.0838647i
\(549\) 27.5865 + 11.4412i 1.17736 + 0.488296i
\(550\) −38.3965 + 1.62885i −1.63723 + 0.0694543i
\(551\) 28.5192 1.21496
\(552\) −1.04591 3.50081i −0.0445171 0.149005i
\(553\) 6.62724 20.3965i 0.281819 0.867349i
\(554\) −27.1536 10.2610i −1.15365 0.435950i
\(555\) −12.5541 17.0889i −0.532890 0.725382i
\(556\) 14.9947 3.35117i 0.635917 0.142121i
\(557\) 6.72945i 0.285136i −0.989785 0.142568i \(-0.954464\pi\)
0.989785 0.142568i \(-0.0455360\pi\)
\(558\) −0.520317 + 4.10339i −0.0220268 + 0.173711i
\(559\) −12.0006 + 16.5175i −0.507573 + 0.698614i
\(560\) −17.6649 12.4791i −0.746476 0.527340i
\(561\) 14.1818 + 30.7808i 0.598755 + 1.29956i
\(562\) −34.1722 27.3781i −1.44147 1.15488i
\(563\) 8.99572 + 6.53577i 0.379124 + 0.275450i 0.760984 0.648770i \(-0.224716\pi\)
−0.381860 + 0.924220i \(0.624716\pi\)
\(564\) −22.6185 + 7.93649i −0.952411 + 0.334187i
\(565\) −3.41344 1.55091i −0.143604 0.0652475i
\(566\) 20.1560 + 16.1485i 0.847218 + 0.678774i
\(567\) 19.3820 + 9.89750i 0.813968 + 0.415656i
\(568\) −4.14306 + 29.0999i −0.173839 + 1.22100i
\(569\) −9.78313 + 3.17873i −0.410130 + 0.133259i −0.506813 0.862056i \(-0.669177\pi\)
0.0966832 + 0.995315i \(0.469177\pi\)
\(570\) −22.4038 33.7189i −0.938394 1.41233i
\(571\) 44.4449 + 14.4410i 1.85996 + 0.604338i 0.994675 + 0.103059i \(0.0328630\pi\)
0.865286 + 0.501279i \(0.167137\pi\)
\(572\) 18.0472 41.7006i 0.754591 1.74359i
\(573\) 3.82502 1.76232i 0.159793 0.0736221i
\(574\) −0.290578 + 6.15943i −0.0121285 + 0.257090i
\(575\) 1.91334 3.20078i 0.0797919 0.133482i
\(576\) −18.7221 15.0161i −0.780086 0.625673i
\(577\) 37.2787 27.0846i 1.55193 1.12755i 0.609681 0.792647i \(-0.291298\pi\)
0.942254 0.334899i \(-0.108702\pi\)
\(578\) 5.34295 + 2.01904i 0.222237 + 0.0839809i
\(579\) 8.53506 15.2325i 0.354705 0.633039i
\(580\) 14.9685 + 8.58537i 0.621534 + 0.356488i
\(581\) −20.0131 + 6.50267i −0.830285 + 0.269776i
\(582\) 0.160378 0.644977i 0.00664789 0.0267351i
\(583\) 24.7829 8.05246i 1.02640 0.333499i
\(584\) 8.40977 8.67731i 0.347999 0.359070i
\(585\) 27.8302 3.43656i 1.15064 0.142084i
\(586\) −0.802478 + 0.527110i −0.0331501 + 0.0217747i
\(587\) −1.58889 1.15440i −0.0655807 0.0476472i 0.554512 0.832176i \(-0.312905\pi\)
−0.620093 + 0.784529i \(0.712905\pi\)
\(588\) −2.42191 3.17517i −0.0998781 0.130942i
\(589\) −5.82966 + 4.23550i −0.240207 + 0.174521i
\(590\) 28.6745 4.47188i 1.18051 0.184104i
\(591\) 12.4241 11.4796i 0.511059 0.472206i
\(592\) −2.74330 21.7275i −0.112749 0.892994i
\(593\) 12.7427i 0.523281i 0.965165 + 0.261640i \(0.0842634\pi\)
−0.965165 + 0.261640i \(0.915737\pi\)
\(594\) 37.8771 + 12.6658i 1.55412 + 0.519682i
\(595\) −16.9316 + 9.60486i −0.694130 + 0.393761i
\(596\) −20.0078 8.65896i −0.819551 0.354685i
\(597\) −5.11922 2.86841i −0.209516 0.117396i
\(598\) 2.42058 + 3.68512i 0.0989848 + 0.150696i
\(599\) −0.602742 −0.0246274 −0.0123137 0.999924i \(-0.503920\pi\)
−0.0123137 + 0.999924i \(0.503920\pi\)
\(600\) −1.60816 24.4421i −0.0656528 0.997843i
\(601\) −22.6790 −0.925095 −0.462547 0.886595i \(-0.653065\pi\)
−0.462547 + 0.886595i \(0.653065\pi\)
\(602\) −9.16976 13.9601i −0.373731 0.568973i
\(603\) −3.65480 3.12432i −0.148835 0.127232i
\(604\) −28.7318 12.4345i −1.16908 0.505955i
\(605\) 41.1929 + 4.64596i 1.67473 + 0.188885i
\(606\) −0.563588 7.98717i −0.0228942 0.324457i
\(607\) 21.0500i 0.854394i −0.904159 0.427197i \(-0.859501\pi\)
0.904159 0.427197i \(-0.140499\pi\)
\(608\) −3.27685 41.6823i −0.132894 1.69044i
\(609\) −10.9671 11.8695i −0.444411 0.480977i
\(610\) −4.99837 + 31.0810i −0.202378 + 1.25843i
\(611\) 23.4013 17.0020i 0.946716 0.687829i
\(612\) −19.4029 + 9.49378i −0.784315 + 0.383763i
\(613\) −19.0024 13.8061i −0.767501 0.557622i 0.133701 0.991022i \(-0.457314\pi\)
−0.901202 + 0.433400i \(0.857314\pi\)
\(614\) 13.9620 9.17098i 0.563461 0.370111i
\(615\) −5.62813 + 4.13461i −0.226948 + 0.166723i
\(616\) 26.6928 + 25.8698i 1.07548 + 1.04233i
\(617\) −44.0518 + 14.3133i −1.77346 + 0.576232i −0.998447 0.0557124i \(-0.982257\pi\)
−0.775014 + 0.631945i \(0.782257\pi\)
\(618\) 32.4373 + 8.06578i 1.30482 + 0.324453i
\(619\) −36.4948 + 11.8579i −1.46685 + 0.476609i −0.930155 0.367166i \(-0.880328\pi\)
−0.536696 + 0.843775i \(0.680328\pi\)
\(620\) −4.33479 + 0.468084i −0.174089 + 0.0187987i
\(621\) −3.04499 + 2.39716i −0.122191 + 0.0961948i
\(622\) 41.3314 + 15.6187i 1.65724 + 0.626251i
\(623\) 23.6387 17.1745i 0.947065 0.688083i
\(624\) 26.8397 + 10.8803i 1.07445 + 0.435562i
\(625\) 17.2846 18.0622i 0.691384 0.722488i
\(626\) 1.98506 42.0778i 0.0793391 1.68177i
\(627\) 29.1154 + 63.1934i 1.16276 + 2.52370i
\(628\) 2.01388 4.65335i 0.0803624 0.185689i
\(629\) −18.7462 6.09101i −0.747459 0.242864i
\(630\) −5.41814 + 22.2911i −0.215864 + 0.888098i
\(631\) −31.8850 + 10.3601i −1.26932 + 0.412428i −0.864807 0.502104i \(-0.832559\pi\)
−0.404515 + 0.914532i \(0.632559\pi\)
\(632\) 24.8350 + 3.53585i 0.987882 + 0.140649i
\(633\) 11.6896 1.38091i 0.464622 0.0548862i
\(634\) −26.4601 21.1993i −1.05087 0.841932i
\(635\) −19.2141 + 21.0164i −0.762490 + 0.834011i
\(636\) 5.49910 + 15.6721i 0.218054 + 0.621439i
\(637\) 3.89859 + 2.83249i 0.154468 + 0.112227i
\(638\) −23.1452 18.5435i −0.916329 0.734144i
\(639\) 30.3182 7.26440i 1.19937 0.287375i
\(640\) 10.8281 22.8638i 0.428018 0.903770i
\(641\) −6.72843 + 9.26089i −0.265757 + 0.365783i −0.920952 0.389677i \(-0.872587\pi\)
0.655195 + 0.755460i \(0.272587\pi\)
\(642\) 36.4328 2.57076i 1.43789 0.101460i
\(643\) 38.8672i 1.53277i 0.642380 + 0.766386i \(0.277947\pi\)
−0.642380 + 0.766386i \(0.722053\pi\)
\(644\) −3.52005 + 0.786697i −0.138709 + 0.0310002i
\(645\) 5.75047 18.0210i 0.226424 0.709577i
\(646\) −35.2020 13.3024i −1.38501 0.523377i
\(647\) −8.24548 + 25.3770i −0.324163 + 0.997672i 0.647653 + 0.761935i \(0.275750\pi\)
−0.971817 + 0.235737i \(0.924250\pi\)
\(648\) −7.50808 + 24.3234i −0.294945 + 0.955514i
\(649\) −49.8781 −1.95789
\(650\) 10.3173 + 27.6993i 0.404679 + 1.08646i
\(651\) 4.00461 + 0.797497i 0.156953 + 0.0312564i
\(652\) −7.10237 12.0104i −0.278150 0.470363i
\(653\) −0.217176 0.0705647i −0.00849874 0.00276141i 0.304765 0.952428i \(-0.401422\pi\)
−0.313263 + 0.949666i \(0.601422\pi\)
\(654\) −0.819878 0.511597i −0.0320598 0.0200050i
\(655\) 15.7581 8.93911i 0.615718 0.349280i
\(656\) −7.15583 + 0.903490i −0.279388 + 0.0352753i
\(657\) −11.8391 4.91011i −0.461886 0.191561i
\(658\) 6.24372 + 22.8247i 0.243405 + 0.889801i
\(659\) −11.8586 8.61580i −0.461947 0.335624i 0.332348 0.943157i \(-0.392159\pi\)
−0.794294 + 0.607533i \(0.792159\pi\)
\(660\) −3.74217 + 41.9324i −0.145664 + 1.63222i
\(661\) −1.50206 + 1.09131i −0.0584234 + 0.0424471i −0.616614 0.787266i \(-0.711496\pi\)
0.558190 + 0.829713i \(0.311496\pi\)
\(662\) 19.7058 + 15.7879i 0.765888 + 0.613613i
\(663\) 19.1450 17.6895i 0.743531 0.687005i
\(664\) −11.5164 21.7535i −0.446925 0.844199i
\(665\) −34.7609 + 19.7189i −1.34797 + 0.764667i
\(666\) −20.3604 + 11.1809i −0.788951 + 0.433252i
\(667\) 2.73689 0.889269i 0.105973 0.0344326i
\(668\) −19.6007 1.85350i −0.758375 0.0717140i
\(669\) 37.7482 4.45923i 1.45943 0.172404i
\(670\) 2.31167 4.51042i 0.0893076 0.174253i
\(671\) 16.7193 51.4568i 0.645443 1.98647i
\(672\) −16.0878 + 17.3929i −0.620602 + 0.670946i
\(673\) 25.0890 18.2282i 0.967109 0.702646i 0.0123182 0.999924i \(-0.496079\pi\)
0.954791 + 0.297278i \(0.0960789\pi\)
\(674\) 0.238172 5.04858i 0.00917405 0.194464i
\(675\) −23.4807 + 11.1202i −0.903772 + 0.428015i
\(676\) −8.90824 0.842386i −0.342624 0.0323995i
\(677\) −10.4554 14.3906i −0.401834 0.553078i 0.559369 0.828919i \(-0.311044\pi\)
−0.961203 + 0.275841i \(0.911044\pi\)
\(678\) −2.17423 + 3.48439i −0.0835008 + 0.133817i
\(679\) −0.623988 0.202746i −0.0239465 0.00778068i
\(680\) −14.4715 17.5791i −0.554958 0.674126i
\(681\) 2.91474 + 24.6739i 0.111693 + 0.945504i
\(682\) 7.48513 + 0.353119i 0.286621 + 0.0135216i
\(683\) −4.64662 14.3008i −0.177798 0.547206i 0.821952 0.569556i \(-0.192885\pi\)
−0.999750 + 0.0223507i \(0.992885\pi\)
\(684\) −39.8344 + 19.4909i −1.52311 + 0.745252i
\(685\) −2.32161 1.05484i −0.0887043 0.0403033i
\(686\) −23.3027 + 15.3065i −0.889702 + 0.584403i
\(687\) −26.8362 29.0443i −1.02387 1.10811i
\(688\) 14.2425 13.3728i 0.542991 0.509832i
\(689\) −11.7805 16.2145i −0.448802 0.617723i
\(690\) −3.20143 2.53730i −0.121876 0.0965935i
\(691\) 26.2548 36.1366i 0.998778 1.37470i 0.0727060 0.997353i \(-0.476837\pi\)
0.926072 0.377347i \(-0.123163\pi\)
\(692\) 14.2398 3.18245i 0.541315 0.120979i
\(693\) 15.1043 36.4189i 0.573765 1.38344i
\(694\) 21.4941 5.87972i 0.815904 0.223191i
\(695\) 11.5910 12.6782i 0.439672 0.480913i
\(696\) 11.4722 15.0236i 0.434852 0.569467i
\(697\) −2.00604 + 6.17395i −0.0759842 + 0.233855i
\(698\) 9.39190 + 14.2983i 0.355489 + 0.541200i
\(699\) 4.82451 24.2261i 0.182480 0.916315i
\(700\) −24.1807 0.114732i −0.913945 0.00433648i
\(701\) 30.8431i 1.16493i 0.812857 + 0.582464i \(0.197911\pi\)
−0.812857 + 0.582464i \(0.802089\pi\)
\(702\) 0.262406 30.7169i 0.00990386 1.15933i
\(703\) −38.4862 12.5049i −1.45153 0.471632i
\(704\) −24.4429 + 35.9587i −0.921228 + 1.35524i
\(705\) −15.6380 + 21.7643i −0.588960 + 0.819692i
\(706\) −4.77994 17.4737i −0.179895 0.657631i
\(707\) −7.90442 −0.297276
\(708\) −0.740780 31.7823i −0.0278402 1.19445i
\(709\) 34.4186 + 25.0066i 1.29262 + 0.939142i 0.999855 0.0170424i \(-0.00542503\pi\)
0.292764 + 0.956185i \(0.405425\pi\)
\(710\) 14.8499 + 29.3162i 0.557305 + 1.10022i
\(711\) −6.19972 25.8747i −0.232508 0.970377i
\(712\) 24.5424 + 23.7857i 0.919764 + 0.891405i
\(713\) −0.427384 + 0.588244i −0.0160057 + 0.0220299i
\(714\) 8.00067 + 19.7664i 0.299417 + 0.739739i
\(715\) −10.1847 49.7702i −0.380888 1.86130i
\(716\) −15.6988 13.8413i −0.586693 0.517275i
\(717\) 2.45410 + 20.7744i 0.0916501 + 0.775835i
\(718\) −0.904982 + 19.1831i −0.0337736 + 0.715905i
\(719\) −2.73582 8.42000i −0.102029 0.314013i 0.886993 0.461784i \(-0.152790\pi\)
−0.989022 + 0.147771i \(0.952790\pi\)
\(720\) −26.7749 1.76174i −0.997842 0.0656562i
\(721\) 10.1966 31.3818i 0.379740 1.16872i
\(722\) −47.1351 17.8118i −1.75419 0.662886i
\(723\) 35.5879 16.3966i 1.32353 0.609795i
\(724\) 20.5185 + 1.94028i 0.762563 + 0.0721100i
\(725\) 19.2154 1.72511i 0.713641 0.0640689i
\(726\) 10.9580 44.0687i 0.406690 1.63554i
\(727\) 17.8430 + 24.5588i 0.661760 + 0.910834i 0.999538 0.0303914i \(-0.00967537\pi\)
−0.337778 + 0.941226i \(0.609675\pi\)
\(728\) 12.5792 25.6740i 0.466217 0.951542i
\(729\) 26.9196 2.08226i 0.997022 0.0771206i
\(730\) 2.14511 13.3388i 0.0793940 0.493691i
\(731\) −5.43369 16.7232i −0.200972 0.618529i
\(732\) 33.0366 + 9.88934i 1.22107 + 0.365520i
\(733\) 13.2918 + 40.9078i 0.490942 + 1.51096i 0.823187 + 0.567771i \(0.192194\pi\)
−0.332245 + 0.943193i \(0.607806\pi\)
\(734\) 37.6080 + 30.1308i 1.38814 + 1.11215i
\(735\) −4.25347 1.35727i −0.156892 0.0500637i
\(736\) −1.61418 3.89794i −0.0594996 0.143680i
\(737\) −5.12010 + 7.04721i −0.188601 + 0.259587i
\(738\) 3.68238 + 6.70560i 0.135550 + 0.246836i
\(739\) 0.374176 + 0.515009i 0.0137643 + 0.0189449i 0.815844 0.578273i \(-0.196273\pi\)
−0.802079 + 0.597217i \(0.796273\pi\)
\(740\) −16.4353 18.1491i −0.604175 0.667176i
\(741\) 39.3050 36.3169i 1.44391 1.33413i
\(742\) 15.8150 4.32620i 0.580586 0.158820i
\(743\) 37.5772 1.37857 0.689286 0.724489i \(-0.257924\pi\)
0.689286 + 0.724489i \(0.257924\pi\)
\(744\) −0.113840 + 4.77477i −0.00417358 + 0.175052i
\(745\) −23.8795 + 4.88659i −0.874879 + 0.179031i
\(746\) 24.8557 + 9.39266i 0.910030 + 0.343890i
\(747\) −16.9640 + 19.8443i −0.620680 + 0.726065i
\(748\) 19.9194 + 33.6846i 0.728327 + 1.23163i
\(749\) 36.0553i 1.31743i
\(750\) −17.1347 21.3636i −0.625670 0.780088i
\(751\) 8.32794i 0.303891i −0.988389 0.151945i \(-0.951446\pi\)
0.988389 0.151945i \(-0.0485538\pi\)
\(752\) −25.0453 + 11.7833i −0.913308 + 0.429693i
\(753\) −19.0225 + 33.9494i −0.693220 + 1.23718i
\(754\) −8.06327 + 21.3377i −0.293647 + 0.777074i
\(755\) −34.2918 + 7.01731i −1.24801 + 0.255386i
\(756\) 23.4305 + 9.08358i 0.852157 + 0.330366i
\(757\) −11.8344 −0.430130 −0.215065 0.976600i \(-0.568996\pi\)
−0.215065 + 0.976600i \(0.568996\pi\)
\(758\) 1.67466 + 6.12193i 0.0608263 + 0.222358i
\(759\) 4.76457 + 5.15659i 0.172943 + 0.187173i
\(760\) −29.7103 36.0901i −1.07771 1.30912i
\(761\) −27.2659 37.5283i −0.988389 1.36040i −0.932185 0.361982i \(-0.882100\pi\)
−0.0562042 0.998419i \(-0.517900\pi\)
\(762\) 20.0660 + 23.8831i 0.726915 + 0.865194i
\(763\) −0.560757 + 0.771815i −0.0203008 + 0.0279416i
\(764\) 4.18587 2.47532i 0.151440 0.0895541i
\(765\) −11.6939 + 21.1307i −0.422795 + 0.763982i
\(766\) 16.8299 21.0064i 0.608089 0.758992i
\(767\) 11.8547 + 36.4851i 0.428049 + 1.31740i
\(768\) −23.2759 15.0410i −0.839897 0.542745i
\(769\) −9.91574 30.5175i −0.357571 1.10049i −0.954504 0.298198i \(-0.903614\pi\)
0.596933 0.802291i \(-0.296386\pi\)
\(770\) 41.0323 + 6.59871i 1.47870 + 0.237801i
\(771\) −22.1808 12.4284i −0.798822 0.447597i
\(772\) 8.00787 18.5033i 0.288210 0.665950i
\(773\) 17.7646 + 24.4508i 0.638947 + 0.879435i 0.998559 0.0536667i \(-0.0170909\pi\)
−0.359612 + 0.933102i \(0.617091\pi\)
\(774\) &mi