Properties

Label 300.2.n.a.11.17
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 11.17
Character \(\chi\) \(=\) 300.11
Dual form 300.2.n.a.191.17

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.884246 - 1.10368i) q^{2} +(0.846655 - 1.51102i) q^{3} +(-0.436219 + 1.95185i) q^{4} +(0.448288 + 2.19067i) q^{5} +(-2.41633 + 0.401675i) q^{6} +2.41810i q^{7} +(2.53994 - 1.24447i) q^{8} +(-1.56635 - 2.55862i) q^{9} +O(q^{10})\) \(q+(-0.884246 - 1.10368i) q^{2} +(0.846655 - 1.51102i) q^{3} +(-0.436219 + 1.95185i) q^{4} +(0.448288 + 2.19067i) q^{5} +(-2.41633 + 0.401675i) q^{6} +2.41810i q^{7} +(2.53994 - 1.24447i) q^{8} +(-1.56635 - 2.55862i) q^{9} +(2.02140 - 2.43186i) q^{10} +(4.39698 - 3.19459i) q^{11} +(2.57995 + 2.31168i) q^{12} +(3.38184 + 2.45705i) q^{13} +(2.66881 - 2.13819i) q^{14} +(3.68969 + 1.17737i) q^{15} +(-3.61943 - 1.70287i) q^{16} +(-3.42396 + 1.11251i) q^{17} +(-1.43886 + 3.99120i) q^{18} +(7.02945 - 2.28401i) q^{19} +(-4.47141 - 0.0806220i) q^{20} +(3.65379 + 2.04730i) q^{21} +(-7.41382 - 2.02805i) q^{22} +(0.603374 - 0.438377i) q^{23} +(0.270041 - 4.89153i) q^{24} +(-4.59808 + 1.96410i) q^{25} +(-0.278580 - 5.90511i) q^{26} +(-5.19228 + 0.200515i) q^{27} +(-4.71976 - 1.05482i) q^{28} +(-3.66968 - 1.19235i) q^{29} +(-1.96315 - 5.11332i) q^{30} +(-0.927208 + 0.301268i) q^{31} +(1.32104 + 5.50044i) q^{32} +(-1.10436 - 9.34863i) q^{33} +(4.25548 + 2.79523i) q^{34} +(-5.29726 + 1.08400i) q^{35} +(5.67731 - 1.94116i) q^{36} +(4.42936 + 3.21812i) q^{37} +(-8.73657 - 5.73864i) q^{38} +(6.57591 - 3.02975i) q^{39} +(3.86484 + 5.00629i) q^{40} +(1.05987 - 1.45879i) q^{41} +(-0.971290 - 5.84293i) q^{42} -4.88416i q^{43} +(4.31731 + 9.97578i) q^{44} +(4.90292 - 4.57836i) q^{45} +(-1.01736 - 0.278299i) q^{46} +(-2.13830 + 6.58101i) q^{47} +(-5.63747 + 4.02728i) q^{48} +1.15280 q^{49} +(6.23357 + 3.33805i) q^{50} +(-1.21789 + 6.11559i) q^{51} +(-6.27102 + 5.52903i) q^{52} +(-4.55991 - 1.48160i) q^{53} +(4.81256 + 5.55331i) q^{54} +(8.96941 + 8.20023i) q^{55} +(3.00924 + 6.14183i) q^{56} +(2.50034 - 12.5554i) q^{57} +(1.92892 + 5.10448i) q^{58} +(-7.42456 - 5.39426i) q^{59} +(-3.90756 + 6.68812i) q^{60} +(-8.05374 + 5.85138i) q^{61} +(1.15238 + 0.756946i) q^{62} +(6.18700 - 3.78759i) q^{63} +(4.90260 - 6.32175i) q^{64} +(-3.86656 + 8.50998i) q^{65} +(-9.34137 + 9.48535i) q^{66} +(-1.52430 + 0.495274i) q^{67} +(-0.677859 - 7.16836i) q^{68} +(-0.151546 - 1.28286i) q^{69} +(5.88047 + 4.88795i) q^{70} +(3.21134 - 9.88348i) q^{71} +(-7.16256 - 4.54948i) 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} +(-9.15859 - 4.57865i) q^{78} +(-8.43495 - 2.74068i) q^{79} +(2.10788 - 8.69234i) q^{80} +(-4.09309 + 8.01540i) q^{81} +(-2.54722 + 0.120168i) q^{82} +(2.68916 + 8.27640i) q^{83} +(-5.58986 + 6.23858i) q^{84} +(-3.97207 - 7.00205i) q^{85} +(-5.39055 + 4.31880i) q^{86} +(-4.90862 + 4.53544i) q^{87} +(7.19250 - 13.5860i) q^{88} +(7.10249 + 9.77574i) q^{89} +(-9.38843 - 1.36286i) q^{90} +(-5.94140 + 8.17763i) q^{91} +(0.592442 + 1.36892i) q^{92} +(-0.329804 + 1.65610i) q^{93} +(9.15412 - 3.45923i) q^{94} +(8.15473 + 14.3753i) q^{95} +(9.42973 + 2.66086i) q^{96} +(0.0838452 - 0.258049i) q^{97} +(-1.01936 - 1.27232i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.884246 1.10368i −0.625256 0.780420i
\(3\) 0.846655 1.51102i 0.488816 0.872387i
\(4\) −0.436219 + 1.95185i −0.218110 + 0.975924i
\(5\) 0.448288 + 2.19067i 0.200481 + 0.979698i
\(6\) −2.41633 + 0.401675i −0.986463 + 0.163983i
\(7\) 2.41810i 0.913955i 0.889478 + 0.456978i \(0.151068\pi\)
−0.889478 + 0.456978i \(0.848932\pi\)
\(8\) 2.53994 1.24447i 0.898005 0.439986i
\(9\) −1.56635 2.55862i −0.522117 0.852874i
\(10\) 2.02140 2.43186i 0.639224 0.769021i
\(11\) 4.39698 3.19459i 1.32574 0.963206i 0.325897 0.945405i \(-0.394334\pi\)
0.999842 0.0178004i \(-0.00566635\pi\)
\(12\) 2.57995 + 2.31168i 0.744768 + 0.667324i
\(13\) 3.38184 + 2.45705i 0.937955 + 0.681464i 0.947928 0.318486i \(-0.103174\pi\)
−0.00997257 + 0.999950i \(0.503174\pi\)
\(14\) 2.66881 2.13819i 0.713269 0.571456i
\(15\) 3.68969 + 1.17737i 0.952673 + 0.303996i
\(16\) −3.61943 1.70287i −0.904856 0.425717i
\(17\) −3.42396 + 1.11251i −0.830433 + 0.269824i −0.693228 0.720719i \(-0.743812\pi\)
−0.137205 + 0.990543i \(0.543812\pi\)
\(18\) −1.43886 + 3.99120i −0.339143 + 0.940735i
\(19\) 7.02945 2.28401i 1.61267 0.523987i 0.642471 0.766310i \(-0.277909\pi\)
0.970196 + 0.242323i \(0.0779094\pi\)
\(20\) −4.47141 0.0806220i −0.999837 0.0180276i
\(21\) 3.65379 + 2.04730i 0.797322 + 0.446756i
\(22\) −7.41382 2.02805i −1.58063 0.432382i
\(23\) 0.603374 0.438377i 0.125812 0.0914079i −0.523100 0.852272i \(-0.675224\pi\)
0.648912 + 0.760864i \(0.275224\pi\)
\(24\) 0.270041 4.89153i 0.0551219 0.998480i
\(25\) −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
\(28\) −4.71976 1.05482i −0.891951 0.199342i
\(29\) −3.66968 1.19235i −0.681443 0.221414i −0.0522158 0.998636i \(-0.516628\pi\)
−0.629227 + 0.777222i \(0.716628\pi\)
\(30\) −1.96315 5.11332i −0.358421 0.933560i
\(31\) −0.927208 + 0.301268i −0.166531 + 0.0541093i −0.391096 0.920350i \(-0.627904\pi\)
0.224565 + 0.974459i \(0.427904\pi\)
\(32\) 1.32104 + 5.50044i 0.233529 + 0.972350i
\(33\) −1.10436 9.34863i −0.192245 1.62739i
\(34\) 4.25548 + 2.79523i 0.729809 + 0.479377i
\(35\) −5.29726 + 1.08400i −0.895400 + 0.183230i
\(36\) 5.67731 1.94116i 0.946219 0.323527i
\(37\) 4.42936 + 3.21812i 0.728183 + 0.529056i 0.888988 0.457930i \(-0.151409\pi\)
−0.160805 + 0.986986i \(0.551409\pi\)
\(38\) −8.73657 5.73864i −1.41726 0.930930i
\(39\) 6.57591 3.02975i 1.05299 0.485148i
\(40\) 3.86484 + 5.00629i 0.611085 + 0.791565i
\(41\) 1.05987 1.45879i 0.165524 0.227824i −0.718195 0.695842i \(-0.755032\pi\)
0.883719 + 0.468017i \(0.155032\pi\)
\(42\) −0.971290 5.84293i −0.149873 0.901583i
\(43\) 4.88416i 0.744827i −0.928067 0.372414i \(-0.878530\pi\)
0.928067 0.372414i \(-0.121470\pi\)
\(44\) 4.31731 + 9.97578i 0.650859 + 1.50391i
\(45\) 4.90292 4.57836i 0.730884 0.682501i
\(46\) −1.01736 0.278299i −0.150001 0.0410330i
\(47\) −2.13830 + 6.58101i −0.311903 + 0.959940i 0.665107 + 0.746748i \(0.268386\pi\)
−0.977010 + 0.213192i \(0.931614\pi\)
\(48\) −5.63747 + 4.02728i −0.813698 + 0.581287i
\(49\) 1.15280 0.164686
\(50\) 6.23357 + 3.33805i 0.881560 + 0.472072i
\(51\) −1.21789 + 6.11559i −0.170538 + 0.856353i
\(52\) −6.27102 + 5.52903i −0.869634 + 0.766739i
\(53\) −4.55991 1.48160i −0.626351 0.203514i −0.0213931 0.999771i \(-0.506810\pi\)
−0.604958 + 0.796257i \(0.706810\pi\)
\(54\) 4.81256 + 5.55331i 0.654906 + 0.755710i
\(55\) 8.96941 + 8.20023i 1.20944 + 1.10572i
\(56\) 3.00924 + 6.14183i 0.402127 + 0.820736i
\(57\) 2.50034 12.5554i 0.331179 1.66300i
\(58\) 1.92892 + 5.10448i 0.253280 + 0.670252i
\(59\) −7.42456 5.39426i −0.966596 0.702273i −0.0119226 0.999929i \(-0.503795\pi\)
−0.954673 + 0.297656i \(0.903795\pi\)
\(60\) −3.90756 + 6.68812i −0.504464 + 0.863433i
\(61\) −8.05374 + 5.85138i −1.03118 + 0.749193i −0.968544 0.248844i \(-0.919949\pi\)
−0.0626320 + 0.998037i \(0.519949\pi\)
\(62\) 1.15238 + 0.756946i 0.146353 + 0.0961322i
\(63\) 6.18700 3.78759i 0.779489 0.477192i
\(64\) 4.90260 6.32175i 0.612825 0.790218i
\(65\) −3.86656 + 8.50998i −0.479587 + 1.05553i
\(66\) −9.34137 + 9.48535i −1.14984 + 1.16757i
\(67\) −1.52430 + 0.495274i −0.186222 + 0.0605073i −0.400644 0.916234i \(-0.631213\pi\)
0.214421 + 0.976741i \(0.431213\pi\)
\(68\) −0.677859 7.16836i −0.0822025 0.869291i
\(69\) −0.151546 1.28286i −0.0182440 0.154439i
\(70\) 5.88047 + 4.88795i 0.702851 + 0.584222i
\(71\) 3.21134 9.88348i 0.381115 1.17295i −0.558144 0.829744i \(-0.688486\pi\)
0.939259 0.343209i \(-0.111514\pi\)
\(72\) −7.16256 4.54948i −0.844116 0.536161i
\(73\) 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
\(78\) −9.15859 4.57865i −1.03701 0.518430i
\(79\) −8.43495 2.74068i −0.949006 0.308351i −0.206694 0.978406i \(-0.566271\pi\)
−0.742311 + 0.670055i \(0.766271\pi\)
\(80\) 2.10788 8.69234i 0.235668 0.971834i
\(81\) −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 \(0.0584938\pi\)
−0.687989 + 0.725721i \(0.741506\pi\)
\(84\) −5.58986 + 6.23858i −0.609904 + 0.680684i
\(85\) −3.97207 7.00205i −0.430832 0.759479i
\(86\) −5.39055 + 4.31880i −0.581278 + 0.465708i
\(87\) −4.90862 + 4.53544i −0.526259 + 0.486251i
\(88\) 7.19250 13.5860i 0.766723 1.44827i
\(89\) 7.10249 + 9.77574i 0.752863 + 1.03623i 0.997774 + 0.0666812i \(0.0212411\pi\)
−0.244912 + 0.969545i \(0.578759\pi\)
\(90\) −9.38843 1.36286i −0.989627 0.143658i
\(91\) −5.94140 + 8.17763i −0.622828 + 0.857249i
\(92\) 0.592442 + 1.36892i 0.0617664 + 0.142720i
\(93\) −0.329804 + 1.65610i −0.0341990 + 0.171729i
\(94\) 9.15412 3.45923i 0.944175 0.356793i
\(95\) 8.15473 + 14.3753i 0.836657 + 1.47488i
\(96\) 9.42973 + 2.66086i 0.962418 + 0.271573i
\(97\) 0.0838452 0.258049i 0.00851319 0.0262009i −0.946710 0.322088i \(-0.895615\pi\)
0.955223 + 0.295887i \(0.0956153\pi\)
\(98\) −1.01936 1.27232i −0.102971 0.128524i
\(99\) −15.0610 6.24635i −1.51368 0.627782i
\(100\) −1.82786 9.83153i −0.182786 0.983153i
\(101\) 3.26886i 0.325263i −0.986687 0.162632i \(-0.948002\pi\)
0.986687 0.162632i \(-0.0519983\pi\)
\(102\) 7.82656 4.06352i 0.774945 0.402349i
\(103\) −12.9779 4.21677i −1.27875 0.415490i −0.410609 0.911812i \(-0.634684\pi\)
−0.868139 + 0.496321i \(0.834684\pi\)
\(104\) 11.6474 + 2.03218i 1.14212 + 0.199271i
\(105\) −2.84700 + 8.92203i −0.277839 + 0.870701i
\(106\) 2.39686 + 6.34278i 0.232804 + 0.616065i
\(107\) −14.9106 −1.44146 −0.720731 0.693214i \(-0.756194\pi\)
−0.720731 + 0.693214i \(0.756194\pi\)
\(108\) 1.87360 10.2220i 0.180287 0.983614i
\(109\) −0.319183 0.231900i −0.0305722 0.0222120i 0.572394 0.819979i \(-0.306015\pi\)
−0.602966 + 0.797767i \(0.706015\pi\)
\(110\) 1.11927 17.1504i 0.106718 1.63522i
\(111\) 8.61278 3.96821i 0.817489 0.376646i
\(112\) 4.11770 8.75213i 0.389086 0.826998i
\(113\) −0.985549 + 1.35649i −0.0927127 + 0.127608i −0.852853 0.522150i \(-0.825130\pi\)
0.760141 + 0.649758i \(0.225130\pi\)
\(114\) −16.0681 + 8.34247i −1.50491 + 0.781344i
\(115\) 1.23082 + 1.12527i 0.114775 + 0.104932i
\(116\) 3.92807 6.64253i 0.364713 0.616744i
\(117\) 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
\(120\) 10.8368 1.60124i 0.989259 0.146173i
\(121\) 5.72881 17.6315i 0.520801 1.60286i
\(122\) 13.5795 + 3.71469i 1.22943 + 0.336312i
\(123\) −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
\(126\) −9.65112 3.47931i −0.859790 0.309961i
\(127\) −7.48532 10.3027i −0.664215 0.914213i 0.335397 0.942077i \(-0.391129\pi\)
−0.999612 + 0.0278639i \(0.991129\pi\)
\(128\) −11.3123 + 0.179074i −0.999875 + 0.0158280i
\(129\) −7.38005 4.13520i −0.649777 0.364084i
\(130\) 12.8113 3.25747i 1.12362 0.285699i
\(131\) 2.50370 + 7.70560i 0.218749 + 0.673241i 0.998866 + 0.0476075i \(0.0151597\pi\)
−0.780117 + 0.625634i \(0.784840\pi\)
\(132\) 18.7289 + 1.92250i 1.63014 + 0.167332i
\(133\) 5.52295 + 16.9979i 0.478901 + 1.47391i
\(134\) 1.89448 + 1.24439i 0.163658 + 0.107499i
\(135\) −2.76690 11.2847i −0.238137 0.971232i
\(136\) −7.31218 + 7.08673i −0.627014 + 0.607682i
\(137\) −0.670311 + 0.922604i −0.0572685 + 0.0788234i −0.836691 0.547676i \(-0.815513\pi\)
0.779422 + 0.626499i \(0.215513\pi\)
\(138\) −1.28187 + 1.30162i −0.109120 + 0.110802i
\(139\) 4.51555 + 6.21512i 0.383004 + 0.527159i 0.956377 0.292135i \(-0.0943656\pi\)
−0.573374 + 0.819294i \(0.694366\pi\)
\(140\) 0.194952 10.8123i 0.0164764 0.913807i
\(141\) 8.13363 + 8.80286i 0.684975 + 0.741334i
\(142\) −13.7478 + 5.19513i −1.15369 + 0.435966i
\(143\) 22.7192 1.89987
\(144\) 1.31230 + 11.9280i 0.109358 + 0.994002i
\(145\) 0.966975 8.57358i 0.0803029 0.711997i
\(146\) −5.82782 1.59420i −0.482314 0.131937i
\(147\) 0.976023 1.74190i 0.0805010 0.143670i
\(148\) −8.21346 + 7.24164i −0.675142 + 0.595259i
\(149\) 10.9006i 0.893009i 0.894781 + 0.446504i \(0.147331\pi\)
−0.894781 + 0.446504i \(0.852669\pi\)
\(150\) 10.3215 6.59286i 0.842750 0.538304i
\(151\) 15.6536i 1.27387i −0.770918 0.636934i \(-0.780202\pi\)
0.770918 0.636934i \(-0.219798\pi\)
\(152\) 15.0120 14.5492i 1.21764 1.18009i
\(153\) 8.20963 + 7.01804i 0.663709 + 0.567375i
\(154\) 4.90403 17.9273i 0.395178 1.44463i
\(155\) −1.07564 1.89615i −0.0863971 0.152303i
\(156\) 3.04508 + 14.1568i 0.243801 + 1.13345i
\(157\) −2.53522 −0.202333 −0.101166 0.994870i \(-0.532257\pi\)
−0.101166 + 0.994870i \(0.532257\pi\)
\(158\) 4.43373 + 11.7329i 0.352729 + 0.933421i
\(159\) −6.09940 + 5.63569i −0.483714 + 0.446940i
\(160\) −11.4574 + 5.35975i −0.905791 + 0.423725i
\(161\) 1.06004 + 1.45902i 0.0835427 + 0.114987i
\(162\) 12.4657 2.57012i 0.979400 0.201928i
\(163\) 4.10076 5.64421i 0.321196 0.442088i −0.617636 0.786464i \(-0.711909\pi\)
0.938832 + 0.344376i \(0.111909\pi\)
\(164\) 2.38500 + 2.70506i 0.186237 + 0.211230i
\(165\) 19.9847 6.61017i 1.55581 0.514601i
\(166\) 6.75661 10.2863i 0.524415 0.798375i
\(167\) −3.04199 9.36229i −0.235396 0.724475i −0.997069 0.0765130i \(-0.975621\pi\)
0.761672 0.647963i \(-0.224379\pi\)
\(168\) 11.8282 + 0.652986i 0.912566 + 0.0503790i
\(169\) 1.38254 + 4.25502i 0.106349 + 0.327309i
\(170\) −4.21574 + 10.5754i −0.323332 + 0.811098i
\(171\) −16.8545 14.4081i −1.28890 1.10182i
\(172\) 9.53314 + 2.13056i 0.726895 + 0.162454i
\(173\) −4.28821 5.90221i −0.326026 0.448737i 0.614269 0.789097i \(-0.289451\pi\)
−0.940295 + 0.340360i \(0.889451\pi\)
\(174\) 9.34610 + 1.40710i 0.708526 + 0.106672i
\(175\) −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
\(178\) 4.50894 16.4830i 0.337960 1.23546i
\(179\) 3.23376 9.95248i 0.241702 0.743883i −0.754459 0.656347i \(-0.772101\pi\)
0.996161 0.0875361i \(-0.0278993\pi\)
\(180\) 6.79751 + 11.5669i 0.506657 + 0.862148i
\(181\) −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
\(184\) 0.986989 1.86433i 0.0727618 0.137440i
\(185\) −5.06421 + 11.1459i −0.372328 + 0.819465i
\(186\) 2.11943 1.10040i 0.155404 0.0806852i
\(187\) −11.5011 + 15.8299i −0.841041 + 1.15759i
\(188\) −11.9124 7.04440i −0.868799 0.513766i
\(189\) −0.484864 12.5554i −0.0352687 0.913275i
\(190\) 8.65497 21.7115i 0.627897 1.57512i
\(191\) 1.96713 + 1.42920i 0.142336 + 0.103413i 0.656675 0.754174i \(-0.271962\pi\)
−0.514338 + 0.857587i \(0.671962\pi\)
\(192\) −5.40146 12.7603i −0.389817 0.920892i
\(193\) −10.0809 −0.725641 −0.362820 0.931859i \(-0.618186\pi\)
−0.362820 + 0.931859i \(0.618186\pi\)
\(194\) −0.358943 + 0.135640i −0.0257706 + 0.00973842i
\(195\) 9.58509 + 13.0474i 0.686402 + 0.934347i
\(196\) −0.502873 + 2.25009i −0.0359195 + 0.160721i
\(197\) −9.28825 3.01794i −0.661761 0.215019i −0.0411680 0.999152i \(-0.513108\pi\)
−0.620593 + 0.784133i \(0.713108\pi\)
\(198\) 6.42362 + 22.1458i 0.456506 + 1.57383i
\(199\) 3.38793i 0.240164i −0.992764 0.120082i \(-0.961684\pi\)
0.992764 0.120082i \(-0.0383157\pi\)
\(200\) −9.23458 + 10.7109i −0.652983 + 0.757372i
\(201\) −0.542185 + 2.72256i −0.0382428 + 0.192035i
\(202\) −3.60777 + 2.89047i −0.253842 + 0.203373i
\(203\) 2.88322 8.87365i 0.202363 0.622808i
\(204\) −11.4054 5.04487i −0.798540 0.353211i
\(205\) 3.67085 + 1.66787i 0.256383 + 0.116489i
\(206\) 6.82167 + 18.0521i 0.475288 + 1.25775i
\(207\) −2.06674 0.857154i −0.143648 0.0595763i
\(208\) −8.05630 14.6520i −0.558604 1.01593i
\(209\) 23.6119 32.4990i 1.63327 2.24800i
\(210\) 12.3645 4.74709i 0.853232 0.327580i
\(211\) 3.99456 + 5.49804i 0.274997 + 0.378501i 0.924069 0.382226i \(-0.124843\pi\)
−0.649072 + 0.760727i \(0.724843\pi\)
\(212\) 4.88098 8.25394i 0.335227 0.566883i
\(213\) −12.2152 13.2203i −0.836973 0.905839i
\(214\) 13.1846 + 16.4565i 0.901283 + 1.12495i
\(215\) 10.6996 2.18951i 0.729706 0.149323i
\(216\) −12.9386 + 6.97092i −0.880357 + 0.474311i
\(217\) −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
\(220\) −19.9182 + 13.9298i −1.34289 + 0.939149i
\(221\) −14.3128 4.65052i −0.962784 0.312828i
\(222\) −11.9955 5.99688i −0.805082 0.402484i
\(223\) 12.8992 + 17.7543i 0.863797 + 1.18891i 0.980651 + 0.195765i \(0.0627191\pi\)
−0.116854 + 0.993149i \(0.537281\pi\)
\(224\) −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 −0.902036 0.431660i \(-0.857928\pi\)
0.131789 + 0.991278i \(0.457928\pi\)
\(228\) 23.4155 + 10.3572i 1.55073 + 0.685922i
\(229\) −7.05514 + 21.7135i −0.466217 + 1.43487i 0.391228 + 0.920294i \(0.372050\pi\)
−0.857445 + 0.514575i \(0.827950\pi\)
\(230\) 0.153592 2.35346i 0.0101275 0.155182i
\(231\) 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 \(0.554721\pi\)
\(234\) −14.6726 + 9.96226i −0.959178 + 0.651253i
\(235\) −15.3754 1.73412i −1.00298 0.113122i
\(236\) 13.7675 12.1385i 0.896189 0.790152i
\(237\) −11.2827 + 10.4249i −0.732891 + 0.677173i
\(238\) −6.75913 + 10.2902i −0.438129 + 0.667013i
\(239\) −9.77091 + 7.09898i −0.632028 + 0.459195i −0.857102 0.515147i \(-0.827738\pi\)
0.225074 + 0.974342i \(0.427738\pi\)
\(240\) −11.3496 10.5445i −0.732616 0.680642i
\(241\) −18.3021 13.2972i −1.17894 0.856550i −0.186888 0.982381i \(-0.559840\pi\)
−0.992052 + 0.125832i \(0.959840\pi\)
\(242\) −24.5252 + 9.26778i −1.57654 + 0.595755i
\(243\) 8.64598 + 12.9710i 0.554640 + 0.832091i
\(244\) −7.90782 18.2722i −0.506246 1.16976i
\(245\) 0.516786 + 2.52540i 0.0330163 + 0.161342i
\(246\) −1.97504 + 3.95064i −0.125924 + 0.251883i
\(247\) 29.3844 + 9.54758i 1.86969 + 0.607498i
\(248\) −1.98013 + 1.91908i −0.125739 + 0.121862i
\(249\) 14.7826 + 2.94388i 0.936808 + 0.186561i
\(250\) −4.51814 + 15.1521i −0.285752 + 0.958303i
\(251\) −22.4679 −1.41816 −0.709080 0.705128i \(-0.750889\pi\)
−0.709080 + 0.705128i \(0.750889\pi\)
\(252\) 4.69392 + 13.7283i 0.295689 + 0.864802i
\(253\) 1.25259 3.85507i 0.0787495 0.242366i
\(254\) −4.75198 + 17.3715i −0.298165 + 1.08998i
\(255\) −13.9432 + 0.0735523i −0.873157 + 0.00460602i
\(256\) 10.2005 + 12.3268i 0.637530 + 0.770425i
\(257\) 14.6794i 0.915675i 0.889036 + 0.457837i \(0.151376\pi\)
−0.889036 + 0.457837i \(0.848624\pi\)
\(258\) 1.96184 + 11.8017i 0.122139 + 0.734745i
\(259\) −7.78174 + 10.7106i −0.483534 + 0.665527i
\(260\) −14.9235 11.2591i −0.925517 0.698263i
\(261\) 2.69723 + 11.2570i 0.166954 + 0.696789i
\(262\) 6.29063 9.57693i 0.388636 0.591665i
\(263\) −0.272509 0.197990i −0.0168036 0.0122086i 0.579352 0.815078i \(-0.303306\pi\)
−0.596155 + 0.802869i \(0.703306\pi\)
\(264\) −14.4391 22.3706i −0.888664 1.37682i
\(265\) 1.20155 10.6534i 0.0738108 0.654435i
\(266\) 13.8766 21.1259i 0.850829 1.29531i
\(267\) 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 \(0.353326\pi\)
\(270\) −10.0081 + 13.0322i −0.609072 + 0.793115i
\(271\) 1.31182 + 0.426235i 0.0796871 + 0.0258919i 0.348589 0.937276i \(-0.386661\pi\)
−0.268902 + 0.963168i \(0.586661\pi\)
\(272\) 14.2872 + 1.80390i 0.866291 + 0.109377i
\(273\) 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
\(276\) 2.57006 + 0.263815i 0.154700 + 0.0158798i
\(277\) 16.6056 12.0647i 0.997736 0.724898i 0.0361344 0.999347i \(-0.488496\pi\)
0.961602 + 0.274449i \(0.0884956\pi\)
\(278\) 2.86665 10.4794i 0.171930 0.628513i
\(279\) 2.22316 + 1.90048i 0.133097 + 0.113779i
\(280\) −12.1057 + 9.34557i −0.723455 + 0.558505i
\(281\) 29.4467 9.56781i 1.75664 0.570768i 0.759799 0.650158i \(-0.225297\pi\)
0.996844 + 0.0793905i \(0.0252974\pi\)
\(282\) 2.52342 16.7608i 0.150267 0.998092i
\(283\) 17.3687 5.64343i 1.03246 0.335467i 0.256698 0.966492i \(-0.417365\pi\)
0.775763 + 0.631025i \(0.217365\pi\)
\(284\) 17.8902 + 10.5794i 1.06159 + 0.627772i
\(285\) 28.6256 0.151004i 1.69563 0.00894470i
\(286\) −20.0893 25.0747i −1.18791 1.48270i
\(287\) 3.52749 + 2.56287i 0.208221 + 0.151282i
\(288\) 12.0043 11.9957i 0.707362 0.706851i
\(289\) −3.26745 + 2.37394i −0.192203 + 0.139643i
\(290\) −10.3175 + 6.51392i −0.605866 + 0.382510i
\(291\) −0.318929 0.345170i −0.0186959 0.0202342i
\(292\) 3.39373 + 7.84172i 0.198603 + 0.458902i
\(293\) 0.678902i 0.0396619i −0.999803 0.0198309i \(-0.993687\pi\)
0.999803 0.0198309i \(-0.00631280\pi\)
\(294\) −2.78555 + 0.463051i −0.162456 + 0.0270057i
\(295\) 8.48871 18.6830i 0.494232 1.08776i
\(296\) 15.2552 + 2.66164i 0.886689 + 0.154705i
\(297\) −22.1898 + 17.4689i −1.28758 + 1.01365i
\(298\) 12.0307 9.63878i 0.696922 0.558359i
\(299\) 3.11763 0.180297
\(300\) −16.4032 5.56198i −0.947038 0.321121i
\(301\) 11.8104 0.680739
\(302\) −17.2765 + 13.8416i −0.994152 + 0.796494i
\(303\) −4.93930 2.76759i −0.283756 0.158994i
\(304\) −29.3319 3.70343i −1.68230 0.212406i
\(305\) −16.4288 15.0200i −0.940713 0.860042i
\(306\) 0.486344 15.2665i 0.0278024 0.872726i
\(307\) 11.8120i 0.674144i −0.941479 0.337072i \(-0.890563\pi\)
0.941479 0.337072i \(-0.109437\pi\)
\(308\) −24.1224 + 10.4397i −1.37450 + 0.594856i
\(309\) −17.3594 + 16.0396i −0.987541 + 0.912464i
\(310\) −1.14162 + 2.86382i −0.0648396 + 0.162654i
\(311\) 25.2760 18.3641i 1.43327 1.04133i 0.443874 0.896089i \(-0.353604\pi\)
0.989396 0.145242i \(-0.0463961\pi\)
\(312\) 12.9320 15.8789i 0.732130 0.898965i
\(313\) 24.0978 + 17.5081i 1.36209 + 0.989616i 0.998309 + 0.0581319i \(0.0185144\pi\)
0.363781 + 0.931484i \(0.381486\pi\)
\(314\) 2.24176 + 2.79807i 0.126510 + 0.157904i
\(315\) 11.0709 + 11.8557i 0.623776 + 0.667996i
\(316\) 9.02888 15.2682i 0.507914 0.858903i
\(317\) 22.8011 7.40851i 1.28064 0.416104i 0.411831 0.911260i \(-0.364889\pi\)
0.868804 + 0.495157i \(0.164889\pi\)
\(318\) 11.6134 + 1.74844i 0.651245 + 0.0980479i
\(319\) −19.9446 + 6.48039i −1.11668 + 0.362832i
\(320\) 16.0466 + 7.90602i 0.897035 + 0.441960i
\(321\) −12.6241 + 22.5302i −0.704611 + 1.25751i
\(322\) 0.672954 2.46007i 0.0375023 0.137095i
\(323\) −21.5276 + 15.6407i −1.19783 + 0.870273i
\(324\) −13.8594 11.4856i −0.769964 0.638087i
\(325\) −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
\(328\) 0.876597 5.02421i 0.0484020 0.277415i
\(329\) −15.9135 5.17062i −0.877342 0.285066i
\(330\) −24.9669 16.2117i −1.37438 0.892424i
\(331\) 16.9808 5.51739i 0.933347 0.303263i 0.197417 0.980320i \(-0.436745\pi\)
0.735931 + 0.677057i \(0.236745\pi\)
\(332\) −17.3273 + 1.63852i −0.950961 + 0.0899254i
\(333\) 1.29602 16.3738i 0.0710213 0.897277i
\(334\) −7.64310 + 11.6359i −0.418212 + 0.636691i
\(335\) −1.76830 3.11720i −0.0966128 0.170311i
\(336\) −9.73835 13.6320i −0.531271 0.743684i
\(337\) 2.89131 + 2.10066i 0.157500 + 0.114430i 0.663744 0.747960i \(-0.268967\pi\)
−0.506244 + 0.862390i \(0.668967\pi\)
\(338\) 3.47367 5.28836i 0.188943 0.287649i
\(339\) 1.21526 + 2.63766i 0.0660041 + 0.143258i
\(340\) 15.3996 4.69846i 0.835163 0.254810i
\(341\) −3.11448 + 4.28672i −0.168659 + 0.232139i
\(342\) −0.998471 + 31.3423i −0.0539911 + 1.69480i
\(343\) 19.7143i 1.06447i
\(344\) −6.07818 12.4055i −0.327713 0.668858i
\(345\) 2.74239 0.907079i 0.147646 0.0488355i
\(346\) −2.72232 + 9.95182i −0.146353 + 0.535013i
\(347\) 4.86918 14.9858i 0.261392 0.804480i −0.731111 0.682258i \(-0.760998\pi\)
0.992503 0.122222i \(-0.0390020\pi\)
\(348\) −6.71127 11.5593i −0.359762 0.619645i
\(349\) −12.0965 −0.647511 −0.323755 0.946141i \(-0.604945\pi\)
−0.323755 + 0.946141i \(0.604945\pi\)
\(350\) −8.07174 + 15.0734i −0.431453 + 0.805706i
\(351\) −18.0522 12.0796i −0.963553 0.644762i
\(352\) 23.3803 + 19.9651i 1.24617 + 1.06415i
\(353\) 12.1828 + 3.95842i 0.648423 + 0.210685i 0.614719 0.788746i \(-0.289270\pi\)
0.0337045 + 0.999432i \(0.489270\pi\)
\(354\) 20.1069 + 10.0521i 1.06867 + 0.534261i
\(355\) 23.0910 + 2.60433i 1.22555 + 0.138224i
\(356\) −22.1790 + 9.59862i −1.17549 + 0.508726i
\(357\) −14.7881 2.94497i −0.782669 0.155865i
\(358\) −13.8438 + 5.23140i −0.731667 + 0.276488i
\(359\) 10.9861 + 7.98186i 0.579824 + 0.421267i 0.838661 0.544654i \(-0.183339\pi\)
−0.258837 + 0.965921i \(0.583339\pi\)
\(360\) 6.75551 17.7303i 0.356047 0.934468i
\(361\) 28.8252 20.9427i 1.51711 1.10225i
\(362\) −8.00096 + 12.1808i −0.420521 + 0.640206i
\(363\) −21.7912 23.5841i −1.14374 1.23785i
\(364\) −13.3698 15.1640i −0.700765 0.794807i
\(365\) 7.05064 + 6.44600i 0.369047 + 0.337399i
\(366\) 17.1101 17.3739i 0.894362 0.908147i
\(367\) 32.4074 10.5298i 1.69165 0.549651i 0.704536 0.709668i \(-0.251155\pi\)
0.987114 + 0.160017i \(0.0511550\pi\)
\(368\) −2.93037 + 0.559207i −0.152756 + 0.0291507i
\(369\) −5.39261 0.426836i −0.280728 0.0222202i
\(370\) 16.7795 4.26646i 0.872327 0.221803i
\(371\) 3.58266 11.0263i 0.186003 0.572457i
\(372\) −3.08858 1.36615i −0.160136 0.0708315i
\(373\) −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
\(378\) −13.4285 + 11.6372i −0.690685 + 0.598555i
\(379\) 4.26825 + 1.38684i 0.219245 + 0.0712370i 0.416580 0.909099i \(-0.363229\pi\)
−0.197335 + 0.980336i \(0.563229\pi\)
\(380\) −31.6157 + 9.64600i −1.62185 + 0.494829i
\(381\) −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 \(-0.938357\pi\)
0.680774 0.732493i \(-0.261643\pi\)
\(384\) −9.30702 + 17.2447i −0.474947 + 0.880014i
\(385\) −19.8290 + 21.6889i −1.01058 + 1.10537i
\(386\) 8.91401 + 11.1261i 0.453711 + 0.566304i
\(387\) −12.4967 + 7.65031i −0.635244 + 0.388887i
\(388\) 0.467098 + 0.276219i 0.0237133 + 0.0140229i
\(389\) 15.3395 + 21.1130i 0.777744 + 1.07047i 0.995527 + 0.0944751i \(0.0301173\pi\)
−0.217784 + 0.975997i \(0.569883\pi\)
\(390\) 5.92463 22.1160i 0.300006 1.11989i
\(391\) −1.57823 + 2.17225i −0.0798146 + 0.109855i
\(392\) 2.92804 1.43462i 0.147888 0.0724593i
\(393\) 13.7631 + 2.74085i 0.694255 + 0.138257i
\(394\) 4.88226 + 12.9199i 0.245965 + 0.650893i
\(395\) 2.22264 19.7068i 0.111833 0.991557i
\(396\) 18.7618 26.6719i 0.942817 1.34032i
\(397\) 6.41425 19.7410i 0.321922 0.990774i −0.650889 0.759173i \(-0.725604\pi\)
0.972811 0.231601i \(-0.0743965\pi\)
\(398\) −3.73919 + 2.99576i −0.187429 + 0.150164i
\(399\) 30.3602 + 6.04608i 1.51991 + 0.302682i
\(400\) 19.9870 + 0.720988i 0.999350 + 0.0360494i
\(401\) 6.86962i 0.343052i −0.985180 0.171526i \(-0.945130\pi\)
0.985180 0.171526i \(-0.0548698\pi\)
\(402\) 3.48426 1.80902i 0.173779 0.0902255i
\(403\) −3.87590 1.25936i −0.193073 0.0627331i
\(404\) 6.38032 + 1.42594i 0.317433 + 0.0709431i
\(405\) −19.3940 5.37340i −0.963695 0.267007i
\(406\) −12.3431 + 4.66433i −0.612580 + 0.231487i
\(407\) 29.7564 1.47497
\(408\) 4.51728 + 17.0489i 0.223639 + 0.844044i
\(409\) −6.98257 5.07313i −0.345266 0.250850i 0.401614 0.915809i \(-0.368449\pi\)
−0.746880 + 0.664959i \(0.768449\pi\)
\(410\) −1.40514 5.52625i −0.0693948 0.272922i
\(411\) 0.826549 + 1.79398i 0.0407707 + 0.0884905i
\(412\) 13.8917 23.4914i 0.684394 1.15734i
\(413\) 13.0439 17.9533i 0.641846 0.883425i
\(414\) 0.881479 + 3.03895i 0.0433223 + 0.149356i
\(415\) −16.9253 + 9.60129i −0.830832 + 0.471309i
\(416\) −9.04733 + 21.8475i −0.443582 + 1.07116i
\(417\) 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 \(0.0667311\pi\)
−0.668980 + 0.743280i \(0.733269\pi\)
\(420\) −16.1725 9.44887i −0.789139 0.461058i
\(421\) −4.72590 + 14.5448i −0.230326 + 0.708871i 0.767381 + 0.641191i \(0.221560\pi\)
−0.997707 + 0.0676794i \(0.978440\pi\)
\(422\) 2.53590 9.27033i 0.123446 0.451273i
\(423\) 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
\(426\) −3.78971 + 25.1717i −0.183612 + 1.21957i
\(427\) −14.1492 19.4747i −0.684729 0.942448i
\(428\) 6.50429 29.1032i 0.314397 1.40676i
\(429\) 19.2353 34.3291i 0.928689 1.65742i
\(430\) −11.8776 9.87285i −0.572788 0.476111i
\(431\) 6.98814 + 21.5073i 0.336607 + 1.03597i 0.965925 + 0.258822i \(0.0833342\pi\)
−0.629318 + 0.777148i \(0.716666\pi\)
\(432\) 19.1345 + 8.11602i 0.920610 + 0.390482i
\(433\) 0.215800 + 0.664163i 0.0103707 + 0.0319176i 0.956108 0.293015i \(-0.0946585\pi\)
−0.945737 + 0.324932i \(0.894658\pi\)
\(434\) −1.83037 + 2.78658i −0.0878605 + 0.133760i
\(435\) −12.1361 8.71998i −0.581883 0.418091i
\(436\) 0.591867 0.521837i 0.0283453 0.0249915i
\(437\) 3.24013 4.45966i 0.154997 0.213334i
\(438\) −7.34302 + 7.45620i −0.350863 + 0.356271i
\(439\) −7.33583 10.0969i −0.350120 0.481899i 0.597243 0.802060i \(-0.296263\pi\)
−0.947363 + 0.320161i \(0.896263\pi\)
\(440\) 32.9867 + 9.66597i 1.57258 + 0.460807i
\(441\) −1.80569 2.94958i −0.0859852 0.140456i
\(442\) 7.52337 + 19.9090i 0.357850 + 0.946973i
\(443\) 3.23949 0.153913 0.0769564 0.997034i \(-0.475480\pi\)
0.0769564 + 0.997034i \(0.475480\pi\)
\(444\) 3.98829 + 18.5419i 0.189276 + 0.879958i
\(445\) −18.2315 + 19.9416i −0.864255 + 0.945321i
\(446\) 8.18895 29.9358i 0.387758 1.41750i
\(447\) 16.4709 + 9.22902i 0.779049 + 0.436517i
\(448\) 15.2866 + 11.8550i 0.722224 + 0.560095i
\(449\) 2.23326i 0.105394i 0.998611 + 0.0526971i \(0.0167818\pi\)
−0.998611 + 0.0526971i \(0.983218\pi\)
\(450\) −1.22314 21.1779i −0.0576593 0.998336i
\(451\) 9.80011i 0.461469i
\(452\) −2.21775 2.51537i −0.104314 0.118313i
\(453\) −23.6528 13.2532i −1.11131 0.622688i
\(454\) 19.5673 + 5.35264i 0.918339 + 0.251212i
\(455\) −20.5780 9.34971i −0.964710 0.438321i
\(456\) −9.27405 35.0016i −0.434297 1.63910i
\(457\) 16.6767 0.780103 0.390051 0.920793i \(-0.372457\pi\)
0.390051 + 0.920793i \(0.372457\pi\)
\(458\) 30.2032 11.4134i 1.41130 0.533315i
\(459\) 17.5551 6.46304i 0.819402 0.301669i
\(460\) −2.73328 + 1.91152i −0.127440 + 0.0891250i
\(461\) −18.0344 24.8222i −0.839946 1.15609i −0.985989 0.166808i \(-0.946654\pi\)
0.146044 0.989278i \(-0.453346\pi\)
\(462\) −22.9365 22.5883i −1.06710 1.05091i
\(463\) −11.9903 + 16.5033i −0.557238 + 0.766972i −0.990972 0.134069i \(-0.957196\pi\)
0.433734 + 0.901041i \(0.357196\pi\)
\(464\) 11.2517 + 10.5646i 0.522348 + 0.490450i
\(465\) −3.77581 + 0.0199179i −0.175099 + 0.000923671i
\(466\) 16.8575 + 11.0729i 0.780911 + 0.512943i
\(467\) 8.04361 + 24.7557i 0.372214 + 1.14556i 0.945339 + 0.326088i \(0.105731\pi\)
−0.573126 + 0.819468i \(0.694269\pi\)
\(468\) 23.9693 + 7.38477i 1.10798 + 0.341361i
\(469\) −1.19762 3.68590i −0.0553010 0.170199i
\(470\) 11.6817 + 18.5029i 0.538838 + 0.853476i
\(471\) −2.14646 + 3.83077i −0.0989036 + 0.176512i
\(472\) −25.5709 4.46148i −1.17700 0.205356i
\(473\) −15.6029 21.4755i −0.717422 0.987446i
\(474\) 21.4825 + 3.23428i 0.986723 + 0.148556i
\(475\) −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
\(478\) 16.4749 + 4.50672i 0.753544 + 0.206132i
\(479\) −3.27797 + 10.0886i −0.149774 + 0.460958i −0.997594 0.0693268i \(-0.977915\pi\)
0.847820 + 0.530284i \(0.177915\pi\)
\(480\) −1.60183 + 21.8503i −0.0731132 + 0.997324i
\(481\) 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
\(484\) 31.9150 + 18.8730i 1.45068 + 0.857862i
\(485\) 0.602887 + 0.0679970i 0.0273757 + 0.00308758i
\(486\) 6.67068 21.0120i 0.302588 0.953121i
\(487\) −17.0030 + 23.4026i −0.770480 + 1.06047i 0.225789 + 0.974176i \(0.427504\pi\)
−0.996269 + 0.0862987i \(0.972496\pi\)
\(488\) −13.1742 + 24.8848i −0.596367 + 1.12648i
\(489\) −5.05657 10.9750i −0.228666 0.496307i
\(490\) 2.33027 2.80344i 0.105271 0.126647i
\(491\) −0.524845 0.381322i −0.0236859 0.0172088i 0.575879 0.817535i \(-0.304660\pi\)
−0.599565 + 0.800326i \(0.704660\pi\)
\(492\) 6.10666 1.31352i 0.275309 0.0592181i
\(493\) 13.8914 0.625635
\(494\) −15.4456 40.8734i −0.694930 1.83898i
\(495\) 6.93205 35.7938i 0.311573 1.60881i
\(496\) 3.86898 + 0.488495i 0.173722 + 0.0219341i
\(497\) 23.8992 + 7.76533i 1.07203 + 0.348323i
\(498\) −9.82234 18.9184i −0.440149 0.847752i
\(499\) 10.1823i 0.455824i 0.973682 + 0.227912i \(0.0731899\pi\)
−0.973682 + 0.227912i \(0.926810\pi\)
\(500\) 20.7182 8.41160i 0.926547 0.376178i
\(501\) −16.7221 3.33012i −0.747088 0.148779i
\(502\) 19.8671 + 24.7973i 0.886713 + 1.10676i
\(503\) 2.00477 6.17005i 0.0893883 0.275109i −0.896362 0.443322i \(-0.853800\pi\)
0.985751 + 0.168213i \(0.0537997\pi\)
\(504\) 11.0011 17.3198i 0.490027 0.771484i
\(505\) 7.16099 1.46539i 0.318660 0.0652090i
\(506\) −5.36236 + 2.02637i −0.238386 + 0.0900832i
\(507\) 7.59994 + 1.51349i 0.337525 + 0.0672164i
\(508\) 23.3745 10.1160i 1.03707 0.448825i
\(509\) −3.27693 + 4.51030i −0.145247 + 0.199916i −0.875442 0.483324i \(-0.839429\pi\)
0.730195 + 0.683239i \(0.239429\pi\)
\(510\) 12.4104 + 15.3238i 0.549541 + 0.678549i
\(511\) 6.07231 + 8.35781i 0.268623 + 0.369728i
\(512\) 4.58511 22.1580i 0.202635 0.979254i
\(513\) −36.0409 + 13.2687i −1.59125 + 0.585828i
\(514\) 16.2013 12.9802i 0.714610 0.572531i
\(515\) 3.41972 30.3206i 0.150691 1.33608i
\(516\) 11.2906 12.6009i 0.497041 0.554723i
\(517\) 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
\(520\) 0.769564 + 26.4266i 0.0337476 + 1.15888i
\(521\) 38.4192 + 12.4831i 1.68317 + 0.546896i 0.985523 0.169542i \(-0.0542288\pi\)
0.697651 + 0.716438i \(0.254229\pi\)
\(522\) 10.0391 12.9308i 0.439398 0.565966i
\(523\) −12.6433 17.4020i −0.552851 0.760934i 0.437545 0.899197i \(-0.355848\pi\)
−0.990396 + 0.138262i \(0.955848\pi\)
\(524\) −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
\(528\) −11.9223 + 35.7173i −0.518852 + 1.55439i
\(529\) −6.93550 + 21.3453i −0.301544 + 0.928056i
\(530\) −12.8205 + 8.09413i −0.556885 + 0.351586i
\(531\) −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
\(534\) −21.0886 20.7685i −0.912595 0.898743i
\(535\) −6.68425 32.6642i −0.288985 1.41220i
\(536\) −3.25527 + 3.15490i −0.140606 + 0.136271i
\(537\) −12.3005 13.3126i −0.530806 0.574480i
\(538\) −5.66498 3.72106i −0.244235 0.160426i
\(539\) 5.06883 3.68272i 0.218330 0.158626i
\(540\) 23.2330 0.477970i 0.999788 0.0205686i
\(541\) 14.1460 + 10.2777i 0.608185 + 0.441873i 0.848775 0.528754i \(-0.177341\pi\)
−0.240589 + 0.970627i \(0.577341\pi\)
\(542\) −0.689540 1.82472i −0.0296183 0.0783785i
\(543\) −17.5051 3.48604i −0.751214 0.149600i
\(544\) −10.6425 17.3636i −0.456294 0.744460i
\(545\) 0.364930 0.803182i 0.0156319 0.0344045i
\(546\) 11.0716 22.1464i 0.473822 0.947778i
\(547\) −12.7002 4.12653i −0.543020 0.176438i 0.0246471 0.999696i \(-0.492154\pi\)
−0.567667 + 0.823258i \(0.692154\pi\)
\(548\) −1.50838 1.71080i −0.0644348 0.0730819i
\(549\) 27.5865 + 11.4412i 1.17736 + 0.488296i
\(550\) 38.0726 5.23636i 1.62342 0.223279i
\(551\) −28.5192 −1.21496
\(552\) −1.98140 3.06980i −0.0843339 0.130659i
\(553\) 6.62724 20.3965i 0.281819 0.867349i
\(554\) −27.9990 7.65915i −1.18956 0.325406i
\(555\) 12.5541 + 17.0889i 0.532890 + 0.725382i
\(556\) −14.1007 + 6.10251i −0.598004 + 0.258804i
\(557\) 6.72945i 0.285136i −0.989785 0.142568i \(-0.954464\pi\)
0.989785 0.142568i \(-0.0455360\pi\)
\(558\) 0.131702 4.13415i 0.00557537 0.175013i
\(559\) 12.0006 16.5175i 0.507573 0.698614i
\(560\) 21.0189 + 5.09705i 0.888213 + 0.215390i
\(561\) 14.1818 + 30.7808i 0.598755 + 1.29956i
\(562\) −36.5979 24.0394i −1.54379 1.01404i
\(563\) −8.99572 6.53577i −0.379124 0.275450i 0.381860 0.924220i \(-0.375284\pi\)
−0.760984 + 0.648770i \(0.775284\pi\)
\(564\) −20.7299 + 12.0356i −0.872886 + 0.506792i
\(565\) −3.41344 1.55091i −0.143604 0.0652475i
\(566\) −21.5867 14.1793i −0.907357 0.596000i
\(567\) −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 \(0.469177\pi\)
\(570\) −25.4787 31.4600i −1.06719 1.31771i
\(571\) −44.4449 14.4410i −1.85996 0.604338i −0.994675 0.103059i \(-0.967137\pi\)
−0.865286 0.501279i \(-0.832863\pi\)
\(572\) −9.91054 + 44.3444i −0.414381 + 1.85413i
\(573\) 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
\(576\) −23.8542 2.64183i −0.993923 0.110076i
\(577\) 37.2787 27.0846i 1.55193 1.12755i 0.609681 0.792647i \(-0.291298\pi\)
0.942254 0.334899i \(-0.108702\pi\)
\(578\) 5.50929 + 1.50707i 0.229156 + 0.0626859i
\(579\) −8.53506 + 15.2325i −0.354705 + 0.633039i
\(580\) 16.3125 + 5.62735i 0.677340 + 0.233663i
\(581\) −20.0131 + 6.50267i −0.830285 + 0.269776i
\(582\) −0.0989460 + 0.657211i −0.00410144 + 0.0272423i
\(583\) −24.7829 + 8.05246i −1.02640 + 0.333499i
\(584\) 5.65385 10.6796i 0.233958 0.441925i
\(585\) 27.8302 3.43656i 1.15064 0.142084i
\(586\) −0.749291 + 0.600316i −0.0309529 + 0.0247988i
\(587\) 1.58889 + 1.15440i 0.0655807 + 0.0476472i 0.620093 0.784529i \(-0.287095\pi\)
−0.554512 + 0.832176i \(0.687095\pi\)
\(588\) 2.97417 + 2.66490i 0.122653 + 0.109899i
\(589\) −5.82966 + 4.23550i −0.240207 + 0.174521i
\(590\) −28.1261 + 7.15151i −1.15793 + 0.294423i
\(591\) −12.4241 + 11.4796i −0.511059 + 0.472206i
\(592\) −10.5517 19.1904i −0.433673 0.788720i
\(593\) 12.7427i 0.523281i 0.965165 + 0.261640i \(0.0842634\pi\)
−0.965165 + 0.261640i \(0.915737\pi\)
\(594\) 38.9013 + 9.04365i 1.59614 + 0.371065i
\(595\) 16.9316 9.60486i 0.694130 0.393761i
\(596\) −21.2762 4.75503i −0.871509 0.194774i
\(597\) −5.11922 2.86841i −0.209516 0.117396i
\(598\) −2.75675 3.44087i −0.112732 0.140708i
\(599\) 0.602742 0.0246274 0.0123137 0.999924i \(-0.496080\pi\)
0.0123137 + 0.999924i \(0.496080\pi\)
\(600\) 8.36580 + 23.0220i 0.341532 + 0.939870i
\(601\) −22.6790 −0.925095 −0.462547 0.886595i \(-0.653065\pi\)
−0.462547 + 0.886595i \(0.653065\pi\)
\(602\) −10.4433 13.0349i −0.425636 0.531262i
\(603\) 3.65480 + 3.12432i 0.148835 + 0.127232i
\(604\) 30.5534 + 6.82838i 1.24320 + 0.277843i
\(605\) 41.1929 + 4.64596i 1.67473 + 0.188885i
\(606\) 1.31302 + 7.89864i 0.0533377 + 0.320860i
\(607\) 21.0500i 0.854394i 0.904159 + 0.427197i \(0.140499\pi\)
−0.904159 + 0.427197i \(0.859501\pi\)
\(608\) 21.8492 + 35.6478i 0.886103 + 1.44571i
\(609\) −10.9671 11.8695i −0.444411 0.480977i
\(610\) −2.05012 + 31.4135i −0.0830068 + 1.27190i
\(611\) −23.4013 + 17.0020i −0.946716 + 0.687829i
\(612\) −17.2794 + 12.9625i −0.698476 + 0.523980i
\(613\) −19.0024 13.8061i −0.767501 0.557622i 0.133701 0.991022i \(-0.457314\pi\)
−0.901202 + 0.433400i \(0.857314\pi\)
\(614\) −13.0366 + 10.4447i −0.526115 + 0.421513i
\(615\) 5.62813 4.13461i 0.226948 0.166723i
\(616\) 32.8522 + 17.3922i 1.32365 + 0.700751i
\(617\) −44.0518 + 14.3133i −1.77346 + 0.576232i −0.998447 0.0557124i \(-0.982257\pi\)
−0.775014 + 0.631945i \(0.782257\pi\)
\(618\) 33.0526 + 4.97622i 1.32957 + 0.200173i
\(619\) 36.4948 11.8579i 1.46685 0.476609i 0.536696 0.843775i \(-0.319672\pi\)
0.930155 + 0.367166i \(0.119672\pi\)
\(620\) 4.17021 1.27234i 0.167480 0.0510984i
\(621\) −3.04499 + 2.39716i −0.122191 + 0.0961948i
\(622\) −42.6183 11.6582i −1.70884 0.467453i
\(623\) −23.6387 + 17.1745i −0.947065 + 0.688083i
\(624\) −28.9603 0.231941i −1.15934 0.00928506i
\(625\) 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
\(628\) 1.10591 4.94837i 0.0441307 0.197461i
\(629\) −18.7462 6.09101i −0.747459 0.242864i
\(630\) 3.29554 22.7021i 0.131297 0.904475i
\(631\) 31.8850 10.3601i 1.26932 0.412428i 0.404515 0.914532i \(-0.367441\pi\)
0.864807 + 0.502104i \(0.167441\pi\)
\(632\) −24.8350 + 3.53585i −0.987882 + 0.140649i
\(633\) 11.6896 1.38091i 0.464622 0.0548862i
\(634\) −28.3384 18.6141i −1.12546 0.739261i
\(635\) 19.2141 21.0164i 0.762490 0.834011i
\(636\) −8.33935 14.3635i −0.330677 0.569550i
\(637\) 3.89859 + 2.83249i 0.154468 + 0.112227i
\(638\) 24.7882 + 16.2822i 0.981374 + 0.644618i
\(639\) −30.3182 + 7.26440i −1.19937 + 0.287375i
\(640\) −5.46346 24.7012i −0.215962 0.976402i
\(641\) −6.72843 + 9.26089i −0.265757 + 0.365783i −0.920952 0.389677i \(-0.872587\pi\)
0.655195 + 0.755460i \(0.272587\pi\)
\(642\) 36.0290 5.98922i 1.42195 0.236376i
\(643\) 38.8672i 1.53277i −0.642380 0.766386i \(-0.722053\pi\)
0.642380 0.766386i \(-0.277947\pi\)
\(644\) −3.31019 + 1.43258i −0.130440 + 0.0564517i
\(645\) 5.75047 18.0210i 0.226424 0.709577i
\(646\) 36.2980 + 9.92934i 1.42813 + 0.390665i
\(647\) 8.24548 25.3770i 0.324163 0.997672i −0.647653 0.761935i \(-0.724250\pi\)
0.971817 0.235737i \(-0.0757505\pi\)
\(648\) −0.421307 + 25.4524i −0.0165505 + 0.999863i
\(649\) −49.8781 −1.95789
\(650\) 12.8792 + 26.6050i 0.505163 + 1.04353i
\(651\) −4.00461 0.797497i −0.156953 0.0312564i
\(652\) 9.22781 + 10.4662i 0.361389 + 0.409887i
\(653\) −0.217176 0.0705647i −0.00849874 0.00276141i 0.304765 0.952428i \(-0.401422\pi\)
−0.313263 + 0.949666i \(0.601422\pi\)
\(654\) 0.864399 + 0.432139i 0.0338007 + 0.0168980i
\(655\) −15.7581 + 8.93911i −0.615718 + 0.349280i
\(656\) −6.32024 + 3.47515i −0.246764 + 0.135682i
\(657\) −11.8391 4.91011i −0.461886 0.191561i
\(658\) 8.36477 + 22.1356i 0.326093 + 0.862934i
\(659\) 11.8586 + 8.61580i 0.461947 + 0.335624i 0.794294 0.607533i \(-0.207841\pi\)
−0.332348 + 0.943157i \(0.607841\pi\)
\(660\) 4.18435 + 41.8906i 0.162876 + 1.63059i
\(661\) −1.50206 + 1.09131i −0.0584234 + 0.0424471i −0.616614 0.787266i \(-0.711496\pi\)
0.558190 + 0.829713i \(0.311496\pi\)
\(662\) −21.1046 13.8626i −0.820253 0.538786i
\(663\) −19.1450 + 17.6895i −0.743531 + 0.687005i
\(664\) 17.1300 + 17.6750i 0.664774 + 0.685923i
\(665\) −34.7609 + 19.7189i −1.34797 + 0.764667i
\(666\) −19.2174 + 13.0481i −0.744659 + 0.505602i
\(667\) −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
\(670\) −1.87678 + 4.70802i −0.0725063 + 0.181887i
\(671\) −16.7193 + 51.4568i −0.645443 + 1.98647i
\(672\) −6.43422 + 22.8020i −0.248205 + 0.879607i
\(673\) 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 \(0.911044\pi\)
\(678\) 1.83654 3.67360i 0.0705321 0.141084i
\(679\) 0.623988 + 0.202746i 0.0239465 + 0.00778068i
\(680\) −18.8027 12.8417i −0.721049 0.492456i
\(681\) 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 0.999750 0.0223507i \(-0.00711504\pi\)
−0.821952 + 0.569556i \(0.807115\pi\)
\(684\) 35.4748 26.6123i 1.35641 1.01755i
\(685\) −2.32161 1.05484i −0.0887043 0.0403033i
\(686\) 21.7582 17.4323i 0.830734 0.665567i
\(687\) 26.8362 + 29.0443i 1.02387 + 1.10811i
\(688\) −8.31708 + 17.6779i −0.317086 + 0.673962i
\(689\) −11.7805 16.2145i −0.448802 0.617723i
\(690\) −3.42608 2.22465i −0.130428 0.0846908i
\(691\) −26.2548 + 36.1366i −0.998778 + 1.37470i −0.0727060 + 0.997353i \(0.523163\pi\)
−0.926072 + 0.377347i \(0.876837\pi\)
\(692\) 13.3908 5.79528i 0.509043 0.220303i
\(693\) 15.1043 36.4189i 0.573765 1.38344i
\(694\) −20.8451 + 7.87711i −0.791269 + 0.299011i
\(695\) −11.5910 + 12.6782i −0.439672 + 0.480913i
\(696\) −6.82339 + 17.6284i −0.258640 + 0.668202i
\(697\) −2.00604 + 6.17395i −0.0759842 + 0.233855i
\(698\) 10.6963 + 13.3507i 0.404860 + 0.505330i
\(699\) −4.82451 + 24.2261i −0.182480 + 0.916315i
\(700\) 23.7736 4.41995i 0.898558 0.167059i
\(701\) 30.8431i 1.16493i 0.812857 + 0.582464i \(0.197911\pi\)
−0.812857 + 0.582464i \(0.802089\pi\)
\(702\) 2.63053 + 30.6052i 0.0992829 + 1.15512i
\(703\) 38.4862 + 12.5049i 1.45153 + 0.471632i
\(704\) 1.36123 43.4584i 0.0513034 1.63790i
\(705\) −15.6380 + 21.7643i −0.588960 + 0.819692i
\(706\) −6.40373 16.9461i −0.241008 0.637775i
\(707\) 7.90442 0.297276
\(708\) −6.68522 31.0801i −0.251246 1.16806i
\(709\) 34.4186 + 25.0066i 1.29262 + 0.939142i 0.999855 0.0170424i \(-0.00542503\pi\)
0.292764 + 0.956185i \(0.405425\pi\)
\(710\) −17.5438 27.7880i −0.658407 1.04286i
\(711\) 6.19972 + 25.8747i 0.232508 + 0.970377i
\(712\) 30.2055 + 15.9910i 1.13200 + 0.599288i
\(713\) −0.427384 + 0.588244i −0.0160057 + 0.0220299i
\(714\) 9.82600 + 18.9254i 0.367729 + 0.708265i
\(715\) 10.1847 + 49.7702i 0.380888 + 1.86130i
\(716\) 18.0151 + 10.6533i 0.673256 + 0.398131i
\(717\) 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 0.989022 0.147771i \(-0.0472097\pi\)
−0.886993 + 0.461784i \(0.847210\pi\)
\(720\) −25.5421 + 8.22200i −0.951898 + 0.306416i
\(721\) 10.1966 31.3818i 0.379740 1.16872i
\(722\) −48.6026 13.2953i −1.80880 0.494798i
\(723\) −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
\(726\) −6.76059 + 44.9046i −0.250909 + 1.66657i
\(727\) −17.8430 24.5588i −0.661760 0.910834i 0.337778 0.941226i \(-0.390325\pi\)
−0.999538 + 0.0303914i \(0.990325\pi\)
\(728\) −4.91401 + 28.1646i −0.182125 + 1.04385i
\(729\) 26.9196 2.08226i 0.997022 0.0771206i
\(730\) 0.879832 13.4815i 0.0325640 0.498973i
\(731\) 5.43369 + 16.7232i 0.200972 + 0.618529i
\(732\) −34.3048 3.52136i −1.26794 0.130153i
\(733\) 13.2918 + 40.9078i 0.490942 + 1.51096i 0.823187 + 0.567771i \(0.192194\pi\)
−0.332245 + 0.943193i \(0.607806\pi\)
\(734\) −40.2776 26.4564i −1.48667 0.976525i
\(735\) 4.25347 + 1.35727i 0.156892 + 0.0500637i
\(736\) 3.20835 + 2.73971i 0.118261 + 0.100987i
\(737\) −5.12010 + 7.04721i −0.188601 + 0.259587i
\(738\) 4.29730 + 6.32915i 0.158186 + 0.232979i
\(739\) −0.374176 0.515009i −0.0137643 0.0189449i 0.802079 0.597217i \(-0.203727\pi\)
−0.815844 + 0.578273i \(0.803727\pi\)
\(740\) −19.5461 14.7466i −0.718527 0.542097i
\(741\) 39.3050 36.3169i 1.44391 1.33413i
\(742\) −15.3375 + 5.79585i −0.563056 + 0.212772i
\(743\) −37.5772 −1.37857 −0.689286 0.724489i \(-0.742076\pi\)
−0.689286 + 0.724489i \(0.742076\pi\)
\(744\) 1.22328 + 4.61682i 0.0448475 + 0.169261i
\(745\) −23.8795 + 4.88659i −0.874879 + 0.179031i
\(746\) 25.6295 + 7.01097i 0.938363 + 0.256690i
\(747\) 16.9640 19.8443i 0.620680 0.726065i
\(748\) −25.8805 29.3536i −0.946285 1.07328i
\(749\) 36.0553i 1.31743i
\(750\) 19.0698 + 19.6556i 0.696331 + 0.717721i
\(751\) 8.32794i 0.303891i 0.988389 + 0.151945i \(0.0485538\pi\)
−0.988389 + 0.151945i \(0.951446\pi\)
\(752\) 18.9460 20.1782i 0.690890 0.735825i
\(753\) −19.0225 + 33.9494i −0.693220 + 1.23718i
\(754\) −6.01867 + 22.0020i −0.219187 + 0.801267i
\(755\) 34.2918 7.01731i 1.24801 0.255386i
\(756\) 24.7178 + 4.53055i 0.898979 + 0.164774i
\(757\) −11.8344 −0.430130 −0.215065 0.976600i \(-0.568996\pi\)
−0.215065 + 0.976600i \(0.568996\pi\)
\(758\) −2.24355 5.93708i −0.0814895 0.215645i
\(759\) −4.76457 5.15659i −0.172943 0.187173i
\(760\) 38.6021 + 26.3642i 1.40025 + 0.956329i
\(761\) −27.2659 37.5283i −0.988389 1.36040i −0.932185 0.361982i \(-0.882100\pi\)
−0.0562042 0.998419i \(-0.517900\pi\)
\(762\) 22.2253 + 21.8880i 0.805139 + 0.792917i
\(763\) 0.560757 0.771815i 0.0203008 0.0279416i
\(764\) −3.64768 + 3.21609i −0.131968 + 0.116354i
\(765\) −11.6939 + 21.1307i −0.422795 + 0.763982i
\(766\) −14.7775 + 22.4975i −0.533934 + 0.812868i
\(767\) −11.8547 36.4851i −0.428049 1.31740i
\(768\) 27.2623 4.97657i 0.983744 0.179576i
\(769\) −9.91574 30.5175i −0.357571 1.10049i −0.954504 0.298198i \(-0.903614\pi\)
0.596933 0.802291i \(-0.296386\pi\)
\(770\) 41.4713 + 2.70651i 1.49452 + 0.0975357i
\(771\) 22.1808 + 12.4284i 0.798822 + 0.447597i
\(772\) 4.39749 19.6764i 0.158269 0.708170i
\(773\) 17.7646 + 24.4508i 0.638947 + 0.879435i 0.998559 0.0536667i \(-0.0170909\pi\)
−0.359612 + 0.933102i \(0.617091\pi\)
\(774\) 19.4937 + 7.02762i 0.700685 + 0.252603i