Properties

Label 177.2.e.a.19.1
Level $177$
Weight $2$
Character 177.19
Analytic conductor $1.413$
Analytic rank $0$
Dimension $140$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 177.e (of order \(29\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.41335211578\)
Analytic rank: \(0\)
Dimension: \(140\)
Relative dimension: \(5\) over \(\Q(\zeta_{29})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label 19.1
Character \(\chi\) \(=\) 177.19
Dual form 177.2.e.a.28.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.07727 + 2.03195i) q^{2} +(-0.725995 + 0.687699i) q^{3} +(-1.84595 - 2.72257i) q^{4} +(-3.23491 + 0.712057i) q^{5} +(-0.615278 - 2.21603i) q^{6} +(1.31099 - 0.996592i) q^{7} +(2.94796 - 0.320610i) q^{8} +(0.0541389 - 0.998533i) q^{9} +O(q^{10})\) \(q+(-1.07727 + 2.03195i) q^{2} +(-0.725995 + 0.687699i) q^{3} +(-1.84595 - 2.72257i) q^{4} +(-3.23491 + 0.712057i) q^{5} +(-0.615278 - 2.21603i) q^{6} +(1.31099 - 0.996592i) q^{7} +(2.94796 - 0.320610i) q^{8} +(0.0541389 - 0.998533i) q^{9} +(2.03802 - 7.34027i) q^{10} +(-0.922770 - 2.31598i) q^{11} +(3.21245 + 0.707115i) q^{12} +(0.119964 + 2.21261i) q^{13} +(0.612729 + 3.73748i) q^{14} +(1.85885 - 2.74160i) q^{15} +(-0.0892630 + 0.224033i) q^{16} +(-2.34147 - 1.77994i) q^{17} +(1.97065 + 1.18570i) q^{18} +(-6.93750 + 2.33752i) q^{19} +(7.91009 + 7.49283i) q^{20} +(-0.266420 + 1.62509i) q^{21} +(5.70004 + 0.619916i) q^{22} +(2.37337 - 1.42801i) q^{23} +(-1.91972 + 2.26007i) q^{24} +(5.41973 - 2.50743i) q^{25} +(-4.62515 - 2.13982i) q^{26} +(0.647386 + 0.762162i) q^{27} +(-5.13331 - 1.72961i) q^{28} +(1.14256 + 2.15509i) q^{29} +(3.56831 + 6.73054i) q^{30} +(-7.57979 - 2.55393i) q^{31} +(3.48038 + 4.09742i) q^{32} +(2.26262 + 1.04680i) q^{33} +(6.13915 - 2.84027i) q^{34} +(-3.53132 + 4.15739i) q^{35} +(-2.81851 + 1.69584i) q^{36} +(-9.97984 - 1.08537i) q^{37} +(2.72386 - 16.6148i) q^{38} +(-1.60870 - 1.52384i) q^{39} +(-9.30809 + 3.13626i) q^{40} +(-9.34133 - 5.62049i) q^{41} +(-3.01510 - 2.29202i) q^{42} +(-2.62534 + 6.58910i) q^{43} +(-4.60202 + 6.78747i) q^{44} +(0.535879 + 3.26871i) q^{45} +(0.344881 + 6.36095i) q^{46} +(6.67879 + 1.47011i) q^{47} +(-0.0892630 - 0.224033i) q^{48} +(-1.14719 + 4.13180i) q^{49} +(-0.743543 + 13.7138i) q^{50} +(2.92395 - 0.317999i) q^{51} +(5.80252 - 4.41096i) q^{52} +(0.271871 + 0.979189i) q^{53} +(-2.24609 + 0.494402i) q^{54} +(4.63418 + 6.83491i) q^{55} +(3.54524 - 3.35823i) q^{56} +(3.42909 - 6.46794i) q^{57} -5.60990 q^{58} +(0.287330 + 7.67577i) q^{59} -10.8955 q^{60} +(1.09816 - 2.07134i) q^{61} +(13.3550 - 12.6505i) q^{62} +(-0.924154 - 1.36303i) q^{63} +(-12.5461 + 2.76162i) q^{64} +(-1.96357 - 7.07216i) q^{65} +(-4.56452 + 3.46986i) q^{66} +(16.2238 - 1.76445i) q^{67} +(-0.523775 + 9.66046i) q^{68} +(-0.741016 + 2.66890i) q^{69} +(-4.64343 - 11.6541i) q^{70} +(-6.36506 - 1.40106i) q^{71} +(-0.160540 - 2.96100i) q^{72} +(-1.45289 - 8.86226i) q^{73} +(12.9564 - 19.1093i) q^{74} +(-2.21034 + 5.54753i) q^{75} +(19.1703 + 14.5729i) q^{76} +(-3.51783 - 2.11661i) q^{77} +(4.82939 - 1.62721i) q^{78} +(9.22548 + 8.73884i) q^{79} +(0.129233 - 0.788288i) q^{80} +(-0.994138 - 0.108119i) q^{81} +(21.4838 - 12.9263i) q^{82} +(0.0827415 - 0.0974108i) q^{83} +(4.91621 - 2.27448i) q^{84} +(8.84184 + 4.09067i) q^{85} +(-10.5605 - 12.4328i) q^{86} +(-2.31155 - 0.778852i) q^{87} +(-3.46281 - 6.53156i) q^{88} +(3.29319 + 6.21161i) q^{89} +(-7.21917 - 2.43242i) q^{90} +(2.36234 + 2.78116i) q^{91} +(-8.26897 - 3.82564i) q^{92} +(7.25923 - 3.35848i) q^{93} +(-10.1821 + 11.9873i) q^{94} +(20.7777 - 12.5016i) q^{95} +(-5.34454 - 0.581253i) q^{96} +(-2.41950 + 14.7583i) q^{97} +(-7.15979 - 6.78211i) q^{98} +(-2.36254 + 0.796032i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 140q - q^{2} - 5q^{3} - 9q^{4} - 2q^{5} - q^{6} - 2q^{7} - 9q^{8} - 5q^{9} + O(q^{10}) \) \( 140q - q^{2} - 5q^{3} - 9q^{4} - 2q^{5} - q^{6} - 2q^{7} - 9q^{8} - 5q^{9} + 88q^{10} - 14q^{11} - 9q^{12} - 12q^{13} - q^{14} - 2q^{15} - 41q^{16} - 16q^{17} - q^{18} - 10q^{19} - 32q^{20} + 27q^{21} - 26q^{22} - 22q^{23} - 9q^{24} + 27q^{25} - 56q^{26} - 5q^{27} - 50q^{28} - 24q^{29} - 28q^{30} - 24q^{31} + 106q^{32} - 14q^{33} - 54q^{34} - 70q^{35} - 9q^{36} - 28q^{37} - 80q^{38} - 12q^{39} - 50q^{40} - 40q^{41} - 30q^{42} + 4q^{43} - 104q^{44} - 2q^{45} - 28q^{46} + 31q^{47} - 41q^{48} - q^{49} + 39q^{50} - 16q^{51} + 62q^{52} + 4q^{53} - q^{54} + 5q^{55} + 96q^{56} - 10q^{57} + 128q^{58} - q^{59} - 32q^{60} - 16q^{61} + 223q^{62} - 2q^{63} + 97q^{64} + 121q^{65} - 26q^{66} - 12q^{67} + 10q^{68} + 36q^{69} - 2q^{70} - 22q^{71} - 9q^{72} + 179q^{73} - 38q^{74} - 31q^{75} + 112q^{76} - 62q^{77} - 56q^{78} - 84q^{79} + 204q^{80} - 5q^{81} - 152q^{82} - 88q^{83} + 95q^{84} - 118q^{85} - 118q^{86} + 34q^{87} + 18q^{88} - 86q^{89} - 28q^{90} + 78q^{91} - 174q^{92} - 24q^{93} - 164q^{94} + 218q^{95} - 39q^{96} - 84q^{97} + 129q^{98} - 14q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{19}{29}\right)\) \(1\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.07727 + 2.03195i −0.761748 + 1.43681i 0.133411 + 0.991061i \(0.457407\pi\)
−0.895159 + 0.445748i \(0.852938\pi\)
\(3\) −0.725995 + 0.687699i −0.419154 + 0.397043i
\(4\) −1.84595 2.72257i −0.922973 1.36128i
\(5\) −3.23491 + 0.712057i −1.44670 + 0.318442i −0.867781 0.496947i \(-0.834454\pi\)
−0.578914 + 0.815388i \(0.696523\pi\)
\(6\) −0.615278 2.21603i −0.251186 0.904691i
\(7\) 1.31099 0.996592i 0.495509 0.376676i −0.327367 0.944897i \(-0.606161\pi\)
0.822876 + 0.568221i \(0.192368\pi\)
\(8\) 2.94796 0.320610i 1.04226 0.113353i
\(9\) 0.0541389 0.998533i 0.0180463 0.332844i
\(10\) 2.03802 7.34027i 0.644477 2.32120i
\(11\) −0.922770 2.31598i −0.278226 0.698293i −0.999981 0.00614541i \(-0.998044\pi\)
0.721756 0.692148i \(-0.243335\pi\)
\(12\) 3.21245 + 0.707115i 0.927356 + 0.204126i
\(13\) 0.119964 + 2.21261i 0.0332720 + 0.613666i 0.966858 + 0.255314i \(0.0821787\pi\)
−0.933586 + 0.358353i \(0.883339\pi\)
\(14\) 0.612729 + 3.73748i 0.163759 + 0.998884i
\(15\) 1.85885 2.74160i 0.479952 0.707877i
\(16\) −0.0892630 + 0.224033i −0.0223158 + 0.0560083i
\(17\) −2.34147 1.77994i −0.567889 0.431698i 0.281427 0.959583i \(-0.409192\pi\)
−0.849316 + 0.527885i \(0.822985\pi\)
\(18\) 1.97065 + 1.18570i 0.464487 + 0.279473i
\(19\) −6.93750 + 2.33752i −1.59157 + 0.536263i −0.969161 0.246428i \(-0.920743\pi\)
−0.622411 + 0.782691i \(0.713847\pi\)
\(20\) 7.91009 + 7.49283i 1.76875 + 1.67545i
\(21\) −0.266420 + 1.62509i −0.0581376 + 0.354624i
\(22\) 5.70004 + 0.619916i 1.21525 + 0.132167i
\(23\) 2.37337 1.42801i 0.494883 0.297761i −0.246148 0.969232i \(-0.579165\pi\)
0.741031 + 0.671471i \(0.234337\pi\)
\(24\) −1.91972 + 2.26007i −0.391862 + 0.461335i
\(25\) 5.41973 2.50743i 1.08395 0.501487i
\(26\) −4.62515 2.13982i −0.907066 0.419653i
\(27\) 0.647386 + 0.762162i 0.124590 + 0.146678i
\(28\) −5.13331 1.72961i −0.970104 0.326866i
\(29\) 1.14256 + 2.15509i 0.212168 + 0.400191i 0.966639 0.256142i \(-0.0824515\pi\)
−0.754471 + 0.656333i \(0.772107\pi\)
\(30\) 3.56831 + 6.73054i 0.651481 + 1.22882i
\(31\) −7.57979 2.55393i −1.36137 0.458699i −0.458532 0.888678i \(-0.651624\pi\)
−0.902839 + 0.429979i \(0.858521\pi\)
\(32\) 3.48038 + 4.09742i 0.615250 + 0.724329i
\(33\) 2.26262 + 1.04680i 0.393872 + 0.182225i
\(34\) 6.13915 2.84027i 1.05286 0.487103i
\(35\) −3.53132 + 4.15739i −0.596901 + 0.702727i
\(36\) −2.81851 + 1.69584i −0.469752 + 0.282640i
\(37\) −9.97984 1.08537i −1.64068 0.178434i −0.759264 0.650783i \(-0.774441\pi\)
−0.881412 + 0.472349i \(0.843406\pi\)
\(38\) 2.72386 16.6148i 0.441869 2.69528i
\(39\) −1.60870 1.52384i −0.257598 0.244010i
\(40\) −9.30809 + 3.13626i −1.47174 + 0.495886i
\(41\) −9.34133 5.62049i −1.45887 0.877773i −0.458928 0.888474i \(-0.651766\pi\)
−0.999943 + 0.0107003i \(0.996594\pi\)
\(42\) −3.01510 2.29202i −0.465241 0.353667i
\(43\) −2.62534 + 6.58910i −0.400360 + 1.00483i 0.581215 + 0.813750i \(0.302578\pi\)
−0.981575 + 0.191078i \(0.938802\pi\)
\(44\) −4.60202 + 6.78747i −0.693780 + 1.02325i
\(45\) 0.535879 + 3.26871i 0.0798841 + 0.487271i
\(46\) 0.344881 + 6.36095i 0.0508499 + 0.937871i
\(47\) 6.67879 + 1.47011i 0.974201 + 0.214438i 0.673424 0.739256i \(-0.264823\pi\)
0.300777 + 0.953694i \(0.402754\pi\)
\(48\) −0.0892630 0.224033i −0.0128840 0.0323364i
\(49\) −1.14719 + 4.13180i −0.163884 + 0.590257i
\(50\) −0.743543 + 13.7138i −0.105153 + 1.93943i
\(51\) 2.92395 0.317999i 0.409436 0.0445288i
\(52\) 5.80252 4.41096i 0.804664 0.611690i
\(53\) 0.271871 + 0.979189i 0.0373443 + 0.134502i 0.979872 0.199625i \(-0.0639724\pi\)
−0.942528 + 0.334127i \(0.891559\pi\)
\(54\) −2.24609 + 0.494402i −0.305654 + 0.0672796i
\(55\) 4.63418 + 6.83491i 0.624873 + 0.921619i
\(56\) 3.54524 3.35823i 0.473753 0.448763i
\(57\) 3.42909 6.46794i 0.454194 0.856700i
\(58\) −5.60990 −0.736616
\(59\) 0.287330 + 7.67577i 0.0374072 + 0.999300i
\(60\) −10.8955 −1.40660
\(61\) 1.09816 2.07134i 0.140605 0.265208i −0.803202 0.595707i \(-0.796872\pi\)
0.943807 + 0.330499i \(0.107217\pi\)
\(62\) 13.3550 12.6505i 1.69608 1.60662i
\(63\) −0.924154 1.36303i −0.116433 0.171725i
\(64\) −12.5461 + 2.76162i −1.56827 + 0.345202i
\(65\) −1.96357 7.07216i −0.243551 0.877193i
\(66\) −4.56452 + 3.46986i −0.561853 + 0.427110i
\(67\) 16.2238 1.76445i 1.98206 0.215562i 0.982485 0.186344i \(-0.0596638\pi\)
0.999573 0.0292179i \(-0.00930167\pi\)
\(68\) −0.523775 + 9.66046i −0.0635170 + 1.17150i
\(69\) −0.741016 + 2.66890i −0.0892078 + 0.321298i
\(70\) −4.64343 11.6541i −0.554995 1.39293i
\(71\) −6.36506 1.40106i −0.755394 0.166275i −0.179454 0.983766i \(-0.557433\pi\)
−0.575940 + 0.817492i \(0.695364\pi\)
\(72\) −0.160540 2.96100i −0.0189199 0.348957i
\(73\) −1.45289 8.86226i −0.170048 1.03725i −0.924581 0.380987i \(-0.875584\pi\)
0.754532 0.656263i \(-0.227864\pi\)
\(74\) 12.9564 19.1093i 1.50616 2.22141i
\(75\) −2.21034 + 5.54753i −0.255228 + 0.640574i
\(76\) 19.1703 + 14.5729i 2.19898 + 1.67162i
\(77\) −3.51783 2.11661i −0.400894 0.241210i
\(78\) 4.82939 1.62721i 0.546821 0.184245i
\(79\) 9.22548 + 8.73884i 1.03795 + 0.983196i 0.999871 0.0160790i \(-0.00511834\pi\)
0.0380764 + 0.999275i \(0.487877\pi\)
\(80\) 0.129233 0.788288i 0.0144487 0.0881332i
\(81\) −0.994138 0.108119i −0.110460 0.0120132i
\(82\) 21.4838 12.9263i 2.37248 1.42748i
\(83\) 0.0827415 0.0974108i 0.00908206 0.0106922i −0.757602 0.652716i \(-0.773629\pi\)
0.766684 + 0.642024i \(0.221905\pi\)
\(84\) 4.91621 2.27448i 0.536403 0.248166i
\(85\) 8.84184 + 4.09067i 0.959033 + 0.443696i
\(86\) −10.5605 12.4328i −1.13877 1.34067i
\(87\) −2.31155 0.778852i −0.247824 0.0835017i
\(88\) −3.46281 6.53156i −0.369137 0.696267i
\(89\) 3.29319 + 6.21161i 0.349077 + 0.658430i 0.994423 0.105461i \(-0.0336317\pi\)
−0.645346 + 0.763890i \(0.723287\pi\)
\(90\) −7.21917 2.43242i −0.760967 0.256400i
\(91\) 2.36234 + 2.78116i 0.247640 + 0.291545i
\(92\) −8.26897 3.82564i −0.862100 0.398850i
\(93\) 7.25923 3.35848i 0.752747 0.348258i
\(94\) −10.1821 + 11.9873i −1.05020 + 1.23639i
\(95\) 20.7777 12.5016i 2.13175 1.28263i
\(96\) −5.34454 0.581253i −0.545474 0.0593239i
\(97\) −2.41950 + 14.7583i −0.245663 + 1.49848i 0.519407 + 0.854527i \(0.326153\pi\)
−0.765069 + 0.643948i \(0.777295\pi\)
\(98\) −7.15979 6.78211i −0.723248 0.685097i
\(99\) −2.36254 + 0.796032i −0.237444 + 0.0800042i
\(100\) −16.8312 10.1270i −1.68312 1.01270i
\(101\) −8.04581 6.11627i −0.800588 0.608591i 0.122812 0.992430i \(-0.460809\pi\)
−0.923400 + 0.383839i \(0.874602\pi\)
\(102\) −2.50374 + 6.28391i −0.247907 + 0.622200i
\(103\) 1.38787 2.04695i 0.136751 0.201692i −0.753147 0.657852i \(-0.771465\pi\)
0.889898 + 0.456160i \(0.150776\pi\)
\(104\) 1.06303 + 6.48421i 0.104239 + 0.635829i
\(105\) −0.295313 5.44673i −0.0288196 0.531546i
\(106\) −2.28255 0.502427i −0.221701 0.0488000i
\(107\) 4.54178 + 11.3990i 0.439070 + 1.10198i 0.967470 + 0.252987i \(0.0814131\pi\)
−0.528399 + 0.848996i \(0.677208\pi\)
\(108\) 0.879997 3.16946i 0.0846777 0.304982i
\(109\) 0.851925 15.7128i 0.0815997 1.50502i −0.615554 0.788095i \(-0.711068\pi\)
0.697153 0.716922i \(-0.254450\pi\)
\(110\) −18.8805 + 2.05338i −1.80019 + 0.195782i
\(111\) 7.99173 6.07515i 0.758541 0.576628i
\(112\) 0.106246 + 0.382665i 0.0100393 + 0.0361585i
\(113\) −5.10089 + 1.12279i −0.479851 + 0.105623i −0.448308 0.893879i \(-0.647973\pi\)
−0.0315432 + 0.999502i \(0.510042\pi\)
\(114\) 9.44850 + 13.9355i 0.884933 + 1.30518i
\(115\) −6.66082 + 6.30947i −0.621125 + 0.588361i
\(116\) 3.75829 7.08888i 0.348948 0.658186i
\(117\) 2.21586 0.204856
\(118\) −15.9063 7.68507i −1.46430 0.707468i
\(119\) −4.84352 −0.444005
\(120\) 4.60083 8.67808i 0.419996 0.792197i
\(121\) 3.47370 3.29047i 0.315791 0.299133i
\(122\) 3.02586 + 4.46281i 0.273948 + 0.404044i
\(123\) 10.6470 2.34358i 0.960005 0.211313i
\(124\) 7.03864 + 25.3509i 0.632089 + 2.27658i
\(125\) −2.56221 + 1.94774i −0.229171 + 0.174211i
\(126\) 3.76517 0.409487i 0.335428 0.0364800i
\(127\) −0.197707 + 3.64649i −0.0175436 + 0.323573i 0.976568 + 0.215210i \(0.0690437\pi\)
−0.994111 + 0.108363i \(0.965439\pi\)
\(128\) 5.02767 18.1080i 0.444387 1.60054i
\(129\) −2.62534 6.58910i −0.231148 0.580138i
\(130\) 16.4856 + 3.62876i 1.44588 + 0.318263i
\(131\) 0.561485 + 10.3560i 0.0490572 + 0.904807i 0.914697 + 0.404140i \(0.132429\pi\)
−0.865640 + 0.500667i \(0.833088\pi\)
\(132\) −1.32669 8.09248i −0.115474 0.704360i
\(133\) −6.76547 + 9.97833i −0.586641 + 0.865231i
\(134\) −13.8922 + 34.8669i −1.20011 + 3.01204i
\(135\) −2.63694 2.00455i −0.226952 0.172524i
\(136\) −7.47322 4.49648i −0.640823 0.385570i
\(137\) −10.6203 + 3.57838i −0.907351 + 0.305722i −0.734009 0.679140i \(-0.762353\pi\)
−0.173342 + 0.984862i \(0.555456\pi\)
\(138\) −4.62480 4.38085i −0.393689 0.372922i
\(139\) −0.283066 + 1.72663i −0.0240094 + 0.146451i −0.996111 0.0881107i \(-0.971917\pi\)
0.972101 + 0.234561i \(0.0753654\pi\)
\(140\) 17.8374 + 1.93993i 1.50753 + 0.163954i
\(141\) −5.85976 + 3.52570i −0.493481 + 0.296918i
\(142\) 9.70380 11.4242i 0.814325 0.958697i
\(143\) 5.01364 2.31956i 0.419262 0.193971i
\(144\) 0.218872 + 0.101261i 0.0182393 + 0.00843842i
\(145\) −5.23062 6.15797i −0.434380 0.511391i
\(146\) 19.5729 + 6.59487i 1.61986 + 0.545796i
\(147\) −2.00858 3.78859i −0.165665 0.312477i
\(148\) 15.4672 + 29.1743i 1.27140 + 2.39811i
\(149\) −8.50392 2.86531i −0.696668 0.234735i −0.0513859 0.998679i \(-0.516364\pi\)
−0.645283 + 0.763944i \(0.723260\pi\)
\(150\) −8.89119 10.4675i −0.725963 0.854670i
\(151\) −14.7204 6.81037i −1.19793 0.554220i −0.283501 0.958972i \(-0.591496\pi\)
−0.914427 + 0.404751i \(0.867358\pi\)
\(152\) −19.7021 + 9.11514i −1.59805 + 0.739336i
\(153\) −1.90409 + 2.24167i −0.153937 + 0.181228i
\(154\) 8.09052 4.86790i 0.651953 0.392267i
\(155\) 26.3385 + 2.86448i 2.11556 + 0.230081i
\(156\) −1.17919 + 7.19272i −0.0944105 + 0.575879i
\(157\) −13.7517 13.0263i −1.09750 1.03961i −0.999011 0.0444738i \(-0.985839\pi\)
−0.0984939 0.995138i \(-0.531403\pi\)
\(158\) −27.6953 + 9.33163i −2.20332 + 0.742384i
\(159\) −0.870765 0.523922i −0.0690561 0.0415497i
\(160\) −14.1763 10.7766i −1.12074 0.851961i
\(161\) 1.68833 4.23740i 0.133059 0.333954i
\(162\) 1.29065 1.90357i 0.101403 0.149559i
\(163\) −0.748385 4.56495i −0.0586181 0.357554i −0.999806 0.0196722i \(-0.993738\pi\)
0.941188 0.337882i \(-0.109711\pi\)
\(164\) 1.94143 + 35.8075i 0.151600 + 2.79610i
\(165\) −8.06476 1.77519i −0.627841 0.138198i
\(166\) 0.108799 + 0.273065i 0.00844445 + 0.0211940i
\(167\) 2.34446 8.44398i 0.181420 0.653414i −0.815762 0.578388i \(-0.803682\pi\)
0.997182 0.0750266i \(-0.0239042\pi\)
\(168\) −0.264376 + 4.87612i −0.0203970 + 0.376201i
\(169\) 8.04256 0.874681i 0.618659 0.0672832i
\(170\) −17.8371 + 13.5594i −1.36805 + 1.03996i
\(171\) 1.95850 + 7.05388i 0.149770 + 0.539424i
\(172\) 22.7855 5.01546i 1.73738 0.382426i
\(173\) −3.08678 4.55266i −0.234684 0.346133i 0.692051 0.721848i \(-0.256707\pi\)
−0.926735 + 0.375716i \(0.877397\pi\)
\(174\) 4.07276 3.85793i 0.308755 0.292469i
\(175\) 4.60635 8.68849i 0.348207 0.656788i
\(176\) 0.601225 0.0453190
\(177\) −5.48722 5.37498i −0.412445 0.404008i
\(178\) −16.1694 −1.21195
\(179\) −3.47244 + 6.54971i −0.259542 + 0.489549i −0.978699 0.205299i \(-0.934183\pi\)
0.719157 + 0.694848i \(0.244528\pi\)
\(180\) 7.91009 7.49283i 0.589583 0.558483i
\(181\) 7.59459 + 11.2012i 0.564501 + 0.832577i 0.997634 0.0687531i \(-0.0219021\pi\)
−0.433132 + 0.901330i \(0.642592\pi\)
\(182\) −8.19607 + 1.80409i −0.607533 + 0.133728i
\(183\) 0.627205 + 2.25899i 0.0463643 + 0.166989i
\(184\) 6.53878 4.97065i 0.482045 0.366441i
\(185\) 33.0567 3.59513i 2.43038 0.264320i
\(186\) −0.995907 + 18.3684i −0.0730234 + 1.34684i
\(187\) −1.96166 + 7.06525i −0.143451 + 0.516662i
\(188\) −8.32620 20.8972i −0.607250 1.52408i
\(189\) 1.60828 + 0.354010i 0.116985 + 0.0257504i
\(190\) 3.01926 + 55.6870i 0.219040 + 4.03996i
\(191\) −1.01560 6.19490i −0.0734864 0.448247i −0.997782 0.0665692i \(-0.978795\pi\)
0.924295 0.381678i \(-0.124654\pi\)
\(192\) 7.20928 10.6329i 0.520285 0.767363i
\(193\) 2.77074 6.95404i 0.199442 0.500562i −0.794906 0.606733i \(-0.792480\pi\)
0.994348 + 0.106171i \(0.0338590\pi\)
\(194\) −27.3817 20.8150i −1.96589 1.49443i
\(195\) 6.28906 + 3.78400i 0.450369 + 0.270978i
\(196\) 13.3667 4.50378i 0.954767 0.321698i
\(197\) −13.9693 13.2324i −0.995272 0.942772i 0.00308911 0.999995i \(-0.499017\pi\)
−0.998361 + 0.0572232i \(0.981775\pi\)
\(198\) 0.927601 5.65812i 0.0659217 0.402105i
\(199\) −12.5469 1.36456i −0.889427 0.0967311i −0.348016 0.937489i \(-0.613144\pi\)
−0.541412 + 0.840758i \(0.682110\pi\)
\(200\) 15.1732 9.12944i 1.07291 0.645549i
\(201\) −10.5650 + 12.4381i −0.745199 + 0.877317i
\(202\) 21.0955 9.75983i 1.48428 0.686699i
\(203\) 3.64564 + 1.68665i 0.255874 + 0.118380i
\(204\) −6.26323 7.37365i −0.438514 0.516259i
\(205\) 34.2205 + 11.5302i 2.39006 + 0.805305i
\(206\) 2.66420 + 5.02521i 0.185623 + 0.350123i
\(207\) −1.29743 2.44720i −0.0901773 0.170092i
\(208\) −0.506406 0.170628i −0.0351129 0.0118309i
\(209\) 11.8154 + 13.9101i 0.817285 + 0.962182i
\(210\) 11.3856 + 5.26756i 0.785684 + 0.363496i
\(211\) −10.7657 + 4.98073i −0.741140 + 0.342888i −0.753863 0.657031i \(-0.771812\pi\)
0.0127236 + 0.999919i \(0.495950\pi\)
\(212\) 2.16405 2.54772i 0.148628 0.174978i
\(213\) 5.58451 3.36009i 0.382644 0.230230i
\(214\) −28.0550 3.05116i −1.91780 0.208573i
\(215\) 3.80091 23.1845i 0.259220 1.58117i
\(216\) 2.15283 + 2.03927i 0.146481 + 0.138754i
\(217\) −12.4823 + 4.20577i −0.847353 + 0.285506i
\(218\) 31.0100 + 18.6581i 2.10026 + 1.26369i
\(219\) 7.14937 + 5.43481i 0.483110 + 0.367250i
\(220\) 10.0540 25.2337i 0.677843 1.70126i
\(221\) 3.65740 5.39427i 0.246024 0.362858i
\(222\) 3.73515 + 22.7834i 0.250687 + 1.52912i
\(223\) 0.358488 + 6.61193i 0.0240062 + 0.442767i 0.985686 + 0.168592i \(0.0539221\pi\)
−0.961680 + 0.274175i \(0.911595\pi\)
\(224\) 8.64622 + 1.90318i 0.577700 + 0.127161i
\(225\) −2.21034 5.54753i −0.147356 0.369836i
\(226\) 3.21360 11.5743i 0.213765 0.769913i
\(227\) −0.267345 + 4.93089i −0.0177443 + 0.327275i 0.976162 + 0.217044i \(0.0696416\pi\)
−0.993906 + 0.110230i \(0.964841\pi\)
\(228\) −23.9393 + 2.60356i −1.58542 + 0.172425i
\(229\) 0.733073 0.557268i 0.0484429 0.0368253i −0.580673 0.814137i \(-0.697210\pi\)
0.629115 + 0.777312i \(0.283417\pi\)
\(230\) −5.64502 20.3315i −0.372221 1.34062i
\(231\) 4.00952 0.882562i 0.263807 0.0580683i
\(232\) 4.05916 + 5.98682i 0.266497 + 0.393054i
\(233\) 2.35861 2.23419i 0.154517 0.146367i −0.606536 0.795056i \(-0.707441\pi\)
0.761053 + 0.648690i \(0.224683\pi\)
\(234\) −2.38708 + 4.50252i −0.156049 + 0.294339i
\(235\) −22.6521 −1.47766
\(236\) 20.3674 14.9513i 1.32580 0.973248i
\(237\) −12.7073 −0.825431
\(238\) 5.21780 9.84181i 0.338219 0.637950i
\(239\) 11.9293 11.3000i 0.771641 0.730937i −0.196729 0.980458i \(-0.563032\pi\)
0.968369 + 0.249521i \(0.0802732\pi\)
\(240\) 0.448282 + 0.661167i 0.0289365 + 0.0426781i
\(241\) 3.76281 0.828256i 0.242384 0.0533527i −0.0921170 0.995748i \(-0.529363\pi\)
0.334501 + 0.942396i \(0.391432\pi\)
\(242\) 2.94395 + 10.6031i 0.189244 + 0.681596i
\(243\) 0.796093 0.605174i 0.0510694 0.0388219i
\(244\) −7.66650 + 0.833782i −0.490798 + 0.0533774i
\(245\) 0.768972 14.1829i 0.0491278 0.906109i
\(246\) −6.70767 + 24.1588i −0.427665 + 1.54031i
\(247\) −6.00425 15.0695i −0.382041 0.958852i
\(248\) −23.1637 5.09873i −1.47090 0.323769i
\(249\) 0.00691941 + 0.127621i 0.000438500 + 0.00808766i
\(250\) −1.19752 7.30454i −0.0757377 0.461980i
\(251\) 8.48180 12.5097i 0.535366 0.789606i −0.459778 0.888034i \(-0.652071\pi\)
0.995144 + 0.0984277i \(0.0313813\pi\)
\(252\) −2.00499 + 5.03214i −0.126302 + 0.316995i
\(253\) −5.49732 4.17895i −0.345614 0.262729i
\(254\) −7.19651 4.32999i −0.451549 0.271688i
\(255\) −9.23229 + 3.11072i −0.578149 + 0.194801i
\(256\) 12.7255 + 12.0543i 0.795345 + 0.753391i
\(257\) −3.23780 + 19.7497i −0.201968 + 1.23195i 0.669990 + 0.742370i \(0.266299\pi\)
−0.871958 + 0.489581i \(0.837150\pi\)
\(258\) 16.2170 + 1.76370i 1.00962 + 0.109803i
\(259\) −14.1652 + 8.52291i −0.880182 + 0.529588i
\(260\) −15.6298 + 18.4008i −0.969316 + 1.14117i
\(261\) 2.21379 1.02421i 0.137030 0.0633969i
\(262\) −21.6478 10.0153i −1.33740 0.618749i
\(263\) 14.6913 + 17.2960i 0.905905 + 1.06651i 0.997496 + 0.0707176i \(0.0225289\pi\)
−0.0915909 + 0.995797i \(0.529195\pi\)
\(264\) 7.00574 + 2.36051i 0.431173 + 0.145279i
\(265\) −1.57672 2.97400i −0.0968569 0.182691i
\(266\) −12.9872 24.4965i −0.796299 1.50198i
\(267\) −6.66256 2.24488i −0.407742 0.137384i
\(268\) −34.7522 40.9134i −2.12283 2.49918i
\(269\) −13.6637 6.32150i −0.833090 0.385429i −0.0434927 0.999054i \(-0.513849\pi\)
−0.789597 + 0.613625i \(0.789711\pi\)
\(270\) 6.91386 3.19869i 0.420764 0.194666i
\(271\) −2.21100 + 2.60300i −0.134309 + 0.158121i −0.825205 0.564833i \(-0.808940\pi\)
0.690896 + 0.722954i \(0.257216\pi\)
\(272\) 0.607771 0.365684i 0.0368515 0.0221728i
\(273\) −3.62765 0.394530i −0.219555 0.0238781i
\(274\) 4.16982 25.4348i 0.251908 1.53657i
\(275\) −10.8083 10.2382i −0.651767 0.617386i
\(276\) 8.63413 2.90918i 0.519713 0.175112i
\(277\) 4.32147 + 2.60014i 0.259652 + 0.156227i 0.639428 0.768851i \(-0.279171\pi\)
−0.379776 + 0.925078i \(0.623999\pi\)
\(278\) −3.20349 2.43523i −0.192132 0.146055i
\(279\) −2.96054 + 7.43041i −0.177243 + 0.444847i
\(280\) −9.07728 + 13.3880i −0.542471 + 0.800085i
\(281\) 0.602315 + 3.67396i 0.0359311 + 0.219170i 0.998689 0.0511964i \(-0.0163034\pi\)
−0.962758 + 0.270366i \(0.912855\pi\)
\(282\) −0.851496 15.7049i −0.0507059 0.935215i
\(283\) −4.99083 1.09856i −0.296674 0.0653029i 0.0641394 0.997941i \(-0.479570\pi\)
−0.360813 + 0.932638i \(0.617501\pi\)
\(284\) 7.93509 + 19.9156i 0.470861 + 1.18177i
\(285\) −6.48724 + 23.3649i −0.384271 + 1.38402i
\(286\) −0.687831 + 12.6863i −0.0406723 + 0.750157i
\(287\) −17.8478 + 1.94106i −1.05352 + 0.114577i
\(288\) 4.27984 3.25345i 0.252192 0.191711i
\(289\) −2.23369 8.04503i −0.131394 0.473237i
\(290\) 18.1475 3.99457i 1.06566 0.234569i
\(291\) −8.39271 12.3783i −0.491989 0.725630i
\(292\) −21.4461 + 20.3149i −1.25504 + 1.18884i
\(293\) −11.4836 + 21.6603i −0.670878 + 1.26541i 0.281228 + 0.959641i \(0.409258\pi\)
−0.952106 + 0.305769i \(0.901087\pi\)
\(294\) 9.86203 0.575165
\(295\) −6.39507 24.6258i −0.372336 1.43377i
\(296\) −29.7682 −1.73024
\(297\) 1.16776 2.20263i 0.0677604 0.127810i
\(298\) 14.9832 14.1929i 0.867955 0.822171i
\(299\) 3.44435 + 5.08003i 0.199192 + 0.293786i
\(300\) 19.1837 4.22265i 1.10757 0.243795i
\(301\) 3.12484 + 11.2547i 0.180113 + 0.648708i
\(302\) 29.6963 22.5745i 1.70883 1.29902i
\(303\) 10.0474 1.09272i 0.577207 0.0627750i
\(304\) 0.0955808 1.76288i 0.00548194 0.101108i
\(305\) −2.07752 + 7.48255i −0.118958 + 0.428450i
\(306\) −2.50374 6.28391i −0.143129 0.359227i
\(307\) 6.09492 + 1.34159i 0.347856 + 0.0765688i 0.385462 0.922724i \(-0.374042\pi\)
−0.0376061 + 0.999293i \(0.511973\pi\)
\(308\) 0.731117 + 13.4847i 0.0416593 + 0.768360i
\(309\) 0.400101 + 2.44051i 0.0227610 + 0.138836i
\(310\) −34.1943 + 50.4327i −1.94210 + 2.86439i
\(311\) 11.8739 29.8013i 0.673308 1.68988i −0.0494517 0.998777i \(-0.515747\pi\)
0.722760 0.691099i \(-0.242873\pi\)
\(312\) −5.23095 3.97646i −0.296144 0.225123i
\(313\) 18.3380 + 11.0336i 1.03652 + 0.623656i 0.928822 0.370527i \(-0.120823\pi\)
0.107703 + 0.994183i \(0.465650\pi\)
\(314\) 41.2832 13.9099i 2.32974 0.784982i
\(315\) 3.96011 + 3.75121i 0.223127 + 0.211357i
\(316\) 6.76233 41.2484i 0.380411 2.32040i
\(317\) 27.9293 + 3.03749i 1.56866 + 0.170602i 0.850766 0.525545i \(-0.176139\pi\)
0.717898 + 0.696148i \(0.245104\pi\)
\(318\) 2.00264 1.20495i 0.112302 0.0675701i
\(319\) 3.93683 4.63480i 0.220420 0.259499i
\(320\) 38.6192 17.8671i 2.15888 0.998804i
\(321\) −11.1364 5.15225i −0.621573 0.287570i
\(322\) 6.79141 + 7.99546i 0.378470 + 0.445570i
\(323\) 20.4046 + 6.87509i 1.13534 + 0.382540i
\(324\) 1.54076 + 2.90619i 0.0855980 + 0.161455i
\(325\) 6.19814 + 11.6909i 0.343811 + 0.648496i
\(326\) 10.0820 + 3.39702i 0.558389 + 0.188143i
\(327\) 10.1872 + 11.9933i 0.563354 + 0.663232i
\(328\) −29.3399 13.5741i −1.62002 0.749502i
\(329\) 10.2210 4.72872i 0.563499 0.260703i
\(330\) 12.2951 14.4749i 0.676821 0.796815i
\(331\) 16.6324 10.0074i 0.914200 0.550056i 0.0210321 0.999779i \(-0.493305\pi\)
0.893168 + 0.449723i \(0.148477\pi\)
\(332\) −0.417944 0.0454541i −0.0229376 0.00249462i
\(333\) −1.62408 + 9.90644i −0.0889990 + 0.542870i
\(334\) 14.6321 + 13.8603i 0.800636 + 0.758402i
\(335\) −51.2263 + 17.2601i −2.79879 + 0.943022i
\(336\) −0.340293 0.204748i −0.0185645 0.0111699i
\(337\) −5.17764 3.93594i −0.282044 0.214404i 0.454581 0.890705i \(-0.349789\pi\)
−0.736626 + 0.676301i \(0.763582\pi\)
\(338\) −6.88673 + 17.2844i −0.374589 + 0.940147i
\(339\) 2.93108 4.32302i 0.159194 0.234794i
\(340\) −5.18444 31.6237i −0.281166 1.71503i
\(341\) 1.07956 + 19.9113i 0.0584614 + 1.07826i
\(342\) −16.4430 3.61938i −0.889136 0.195714i
\(343\) 6.88053 + 17.2688i 0.371513 + 0.932428i
\(344\) −5.62686 + 20.2661i −0.303380 + 1.09268i
\(345\) 0.496711 9.16129i 0.0267420 0.493227i
\(346\) 12.5761 1.36773i 0.676096 0.0735299i
\(347\) −28.9733 + 22.0249i −1.55537 + 1.18236i −0.648288 + 0.761395i \(0.724515\pi\)
−0.907078 + 0.420963i \(0.861692\pi\)
\(348\) 2.14652 + 7.73107i 0.115066 + 0.414429i
\(349\) −19.8007 + 4.35847i −1.05991 + 0.233303i −0.710522 0.703675i \(-0.751541\pi\)
−0.349386 + 0.936979i \(0.613610\pi\)
\(350\) 12.6923 + 18.7198i 0.678433 + 1.00061i
\(351\) −1.60870 + 1.52384i −0.0858661 + 0.0813367i
\(352\) 6.27795 11.8415i 0.334616 0.631152i
\(353\) 10.5120 0.559498 0.279749 0.960073i \(-0.409749\pi\)
0.279749 + 0.960073i \(0.409749\pi\)
\(354\) 16.8330 5.35946i 0.894661 0.284852i
\(355\) 21.5880 1.14577
\(356\) 10.8325 20.4322i 0.574120 1.08291i
\(357\) 3.51637 3.33088i 0.186106 0.176289i
\(358\) −9.56795 14.1117i −0.505682 0.745825i
\(359\) −3.75805 + 0.827208i −0.198342 + 0.0436584i −0.313030 0.949743i \(-0.601344\pi\)
0.114688 + 0.993402i \(0.463413\pi\)
\(360\) 2.62773 + 9.46424i 0.138494 + 0.498809i
\(361\) 27.5392 20.9347i 1.44943 1.10183i
\(362\) −30.9417 + 3.36512i −1.62626 + 0.176867i
\(363\) −0.259041 + 4.77773i −0.0135961 + 0.250766i
\(364\) 3.21114 11.5655i 0.168309 0.606196i
\(365\) 11.0104 + 27.6341i 0.576312 + 1.44643i
\(366\) −5.26583 1.15910i −0.275249 0.0605870i
\(367\) 0.990788 + 18.2740i 0.0517187 + 0.953896i 0.903122 + 0.429384i \(0.141269\pi\)
−0.851403 + 0.524512i \(0.824248\pi\)
\(368\) 0.108068 + 0.659183i 0.00563341 + 0.0343623i
\(369\) −6.11798 + 9.02334i −0.318489 + 0.469736i
\(370\) −28.3060 + 71.0427i −1.47156 + 3.69333i
\(371\) 1.33227 + 1.01277i 0.0691682 + 0.0525803i
\(372\) −22.5438 13.5642i −1.16884 0.703269i
\(373\) −6.52367 + 2.19808i −0.337783 + 0.113812i −0.483081 0.875576i \(-0.660482\pi\)
0.145298 + 0.989388i \(0.453586\pi\)
\(374\) −12.2430 11.5972i −0.633072 0.599678i
\(375\) 0.520692 3.17608i 0.0268884 0.164012i
\(376\) 20.1601 + 2.19255i 1.03968 + 0.113072i
\(377\) −4.63131 + 2.78657i −0.238525 + 0.143515i
\(378\) −2.45190 + 2.88659i −0.126112 + 0.148470i
\(379\) 3.31802 1.53508i 0.170435 0.0788517i −0.332816 0.942992i \(-0.607999\pi\)
0.503252 + 0.864140i \(0.332137\pi\)
\(380\) −72.3909 33.4916i −3.71357 1.71808i
\(381\) −2.36415 2.78329i −0.121119 0.142593i
\(382\) 13.6818 + 4.60995i 0.700023 + 0.235865i
\(383\) 6.85564 + 12.9311i 0.350307 + 0.660749i 0.994572 0.104053i \(-0.0331813\pi\)
−0.644265 + 0.764803i \(0.722836\pi\)
\(384\) 8.80282 + 16.6039i 0.449217 + 0.847313i
\(385\) 12.8870 + 4.34214i 0.656783 + 0.221296i
\(386\) 11.1454 + 13.1214i 0.567288 + 0.667863i
\(387\) 6.43730 + 2.97821i 0.327226 + 0.151391i
\(388\) 44.6466 20.6557i 2.26659 1.04864i
\(389\) 14.5352 17.1121i 0.736963 0.867620i −0.258176 0.966098i \(-0.583122\pi\)
0.995139 + 0.0984780i \(0.0313974\pi\)
\(390\) −14.4640 + 8.70268i −0.732412 + 0.440677i
\(391\) −8.09894 0.880813i −0.409581 0.0445446i
\(392\) −2.05717 + 12.5482i −0.103903 + 0.633779i
\(393\) −7.52944 7.13227i −0.379810 0.359775i
\(394\) 41.9365 14.1300i 2.11273 0.711861i
\(395\) −36.0661 21.7003i −1.81468 1.09186i
\(396\) 6.52837 + 4.96273i 0.328063 + 0.249387i
\(397\) 9.48004 23.7931i 0.475790 1.19414i −0.473796 0.880634i \(-0.657117\pi\)
0.949586 0.313507i \(-0.101504\pi\)
\(398\) 16.2892 24.0248i 0.816503 1.20425i
\(399\) −1.95039 11.8968i −0.0976415 0.595587i
\(400\) 0.0779673 + 1.43802i 0.00389836 + 0.0719011i
\(401\) −21.5722 4.74841i −1.07727 0.237124i −0.359314 0.933217i \(-0.616989\pi\)
−0.717952 + 0.696092i \(0.754920\pi\)
\(402\) −13.8922 34.8669i −0.692882 1.73900i
\(403\) 4.74153 17.0775i 0.236193 0.850689i
\(404\) −1.79981 + 33.1955i −0.0895439 + 1.65154i
\(405\) 3.29293 0.358128i 0.163627 0.0177955i
\(406\) −7.35455 + 5.59078i −0.365000 + 0.277466i
\(407\) 6.69539 + 24.1146i 0.331878 + 1.19532i
\(408\) 8.51775 1.87490i 0.421691 0.0928213i
\(409\) −0.0878626 0.129588i −0.00434453 0.00640770i 0.825511 0.564387i \(-0.190887\pi\)
−0.829855 + 0.557979i \(0.811577\pi\)
\(410\) −60.2937 + 57.1132i −2.97769 + 2.82062i
\(411\) 5.24941 9.90144i 0.258934 0.488402i
\(412\) −8.13488 −0.400777
\(413\) 8.02630 + 9.77654i 0.394948 + 0.481072i
\(414\) 6.37029 0.313083
\(415\) −0.198299 + 0.374032i −0.00973412 + 0.0183605i
\(416\) −8.64846 + 8.19225i −0.424026 + 0.401658i
\(417\) −0.981896 1.44819i −0.0480837 0.0709181i
\(418\) −40.9931 + 9.02326i −2.00504 + 0.441342i
\(419\) 1.96214 + 7.06701i 0.0958570 + 0.345246i 0.995889 0.0905771i \(-0.0288712\pi\)
−0.900032 + 0.435823i \(0.856457\pi\)
\(420\) −14.2839 + 10.8584i −0.696985 + 0.529834i
\(421\) −24.2330 + 2.63550i −1.18104 + 0.128446i −0.677499 0.735523i \(-0.736936\pi\)
−0.503544 + 0.863969i \(0.667971\pi\)
\(422\) 1.47696 27.2410i 0.0718974 1.32607i
\(423\) 1.82954 6.58940i 0.0889552 0.320388i
\(424\) 1.11540 + 2.79945i 0.0541687 + 0.135953i
\(425\) −17.1532 3.77570i −0.832052 0.183148i
\(426\) 0.811499 + 14.9672i 0.0393172 + 0.725164i
\(427\) −0.624607 3.80993i −0.0302268 0.184376i
\(428\) 22.6507 33.4072i 1.09486 1.61480i
\(429\) −2.04472 + 5.13187i −0.0987202 + 0.247769i
\(430\) 43.0153 + 32.6994i 2.07438 + 1.57690i
\(431\) 18.3953 + 11.0681i 0.886071 + 0.533131i 0.884327 0.466867i \(-0.154617\pi\)
0.00174341 + 0.999998i \(0.499445\pi\)
\(432\) −0.228537 + 0.0770032i −0.0109955 + 0.00370482i
\(433\) −5.27017 4.99217i −0.253268 0.239909i 0.550523 0.834820i \(-0.314428\pi\)
−0.803791 + 0.594912i \(0.797187\pi\)
\(434\) 4.90091 29.8942i 0.235251 1.43497i
\(435\) 8.03224 + 0.873559i 0.385116 + 0.0418839i
\(436\) −44.3518 + 26.6856i −2.12407 + 1.27801i
\(437\) −13.1273 + 15.4546i −0.627963 + 0.739295i
\(438\) −18.7451 + 8.67241i −0.895676 + 0.414384i
\(439\) 8.14734 + 3.76936i 0.388851 + 0.179902i 0.604567 0.796555i \(-0.293346\pi\)
−0.215715 + 0.976456i \(0.569208\pi\)
\(440\) 15.8527 + 18.6633i 0.755750 + 0.889737i
\(441\) 4.06363 + 1.36920i 0.193506 + 0.0651998i
\(442\) 7.02088 + 13.2428i 0.333949 + 0.629895i
\(443\) 1.00406 + 1.89386i 0.0477044 + 0.0899800i 0.906218 0.422811i \(-0.138956\pi\)
−0.858514 + 0.512791i \(0.828612\pi\)
\(444\) −31.2923 10.5436i −1.48507 0.500377i
\(445\) −15.0762 17.7491i −0.714680 0.841386i
\(446\) −13.8213 6.39443i −0.654459 0.302785i
\(447\) 8.14428 3.76794i 0.385211 0.178218i
\(448\) −13.6957 + 16.1238i −0.647062 + 0.761780i
\(449\) −13.3209 + 8.01492i −0.628652 + 0.378247i −0.793938 0.607998i \(-0.791973\pi\)
0.165286 + 0.986246i \(0.447145\pi\)
\(450\) 13.6535 + 1.48490i 0.643631 + 0.0699991i
\(451\) −4.39703 + 26.8207i −0.207048 + 1.26294i
\(452\) 12.4728 + 11.8149i 0.586673 + 0.555726i
\(453\) 15.3704 5.17890i 0.722165 0.243326i
\(454\) −9.73134 5.85515i −0.456714 0.274796i
\(455\) −9.62229 7.31467i −0.451100 0.342917i
\(456\) 8.03513 20.1666i 0.376279 0.944390i
\(457\) −4.81325 + 7.09901i −0.225154 + 0.332078i −0.923441 0.383741i \(-0.874636\pi\)
0.698287 + 0.715818i \(0.253946\pi\)
\(458\) 0.342622 + 2.08990i 0.0160097 + 0.0976547i
\(459\) −0.159233 2.93688i −0.00743237 0.137082i
\(460\) 29.4734 + 6.48760i 1.37421 + 0.302486i
\(461\) −11.2734 28.2942i −0.525056 1.31779i −0.917398 0.397972i \(-0.869714\pi\)
0.392341 0.919820i \(-0.371665\pi\)
\(462\) −2.52603 + 9.09792i −0.117521 + 0.423274i
\(463\) 1.87299 34.5452i 0.0870450 1.60545i −0.550364 0.834925i \(-0.685511\pi\)
0.637409 0.770526i \(-0.280006\pi\)
\(464\) −0.584801 + 0.0636010i −0.0271487 + 0.00295260i
\(465\) −21.0915 + 16.0334i −0.978096 + 0.743529i
\(466\) 1.99891 + 7.19942i 0.0925976 + 0.333507i
\(467\) −20.1323 + 4.43145i −0.931610 + 0.205063i −0.654748 0.755847i \(-0.727225\pi\)
−0.276862 + 0.960910i \(0.589294\pi\)
\(468\) −4.09035 6.03281i −0.189076 0.278867i
\(469\) 19.5109 18.4817i 0.900931 0.853407i
\(470\) 24.4025 46.0280i 1.12560 2.12311i
\(471\) 18.9418 0.872794
\(472\) 3.30797 + 22.5358i 0.152262 + 1.03729i
\(473\) 17.6828 0.813055
\(474\) 13.6893 25.8207i 0.628770 1.18599i
\(475\) −31.7382 + 30.0640i −1.45625 + 1.37943i
\(476\) 8.94087 + 13.1868i 0.409804 + 0.604416i
\(477\) 0.992472 0.218460i 0.0454422 0.0100026i
\(478\) 10.1100 + 36.4129i 0.462421 + 1.66549i
\(479\) −19.3772 + 14.7302i −0.885368 + 0.673040i −0.945666 0.325141i \(-0.894588\pi\)
0.0602971 + 0.998180i \(0.480795\pi\)
\(480\) 17.7030 1.92531i 0.808026 0.0878782i
\(481\) 1.20428 22.2117i 0.0549105 1.01276i
\(482\) −2.37059 + 8.53811i −0.107978 + 0.388900i
\(483\) 1.68833 + 4.23740i 0.0768219 + 0.192808i
\(484\) −15.3708 3.38336i −0.698672 0.153789i
\(485\) −2.68189 49.4645i −0.121778 2.24607i
\(486\) 0.372076 + 2.26956i 0.0168777 + 0.102949i
\(487\) −16.5241 + 24.3712i −0.748778 + 1.10436i 0.242185 + 0.970230i \(0.422136\pi\)
−0.990963 + 0.134135i \(0.957175\pi\)
\(488\) 2.57323 6.45832i 0.116485 0.292354i
\(489\) 3.68264 + 2.79947i 0.166535 + 0.126596i
\(490\) 27.9905 + 16.8413i 1.26448 + 0.760814i
\(491\) 7.97632 2.68754i 0.359966 0.121287i −0.133507 0.991048i \(-0.542624\pi\)
0.493473 + 0.869761i \(0.335727\pi\)
\(492\) −26.0343 24.6610i −1.17372 1.11180i
\(493\) 1.16067 7.07976i 0.0522739 0.318856i
\(494\) 37.0888 + 4.03365i 1.66871 + 0.181483i
\(495\) 7.07578 4.25735i 0.318032 0.191354i
\(496\) 1.24876 1.47015i 0.0560710 0.0660119i
\(497\) −9.74084 + 4.50659i −0.436936 + 0.202148i
\(498\) −0.266774 0.123423i −0.0119544 0.00553071i
\(499\) −18.1083 21.3187i −0.810639 0.954358i 0.188980 0.981981i \(-0.439482\pi\)
−0.999618 + 0.0276234i \(0.991206\pi\)
\(500\) 10.0325 + 3.38036i 0.448669 + 0.151174i
\(501\) 4.10485 + 7.74257i 0.183391 + 0.345913i
\(502\) 16.2820 + 30.7110i 0.726699 + 1.37070i
\(503\) −25.8744 8.71810i −1.15368 0.388721i −0.323509 0.946225i \(-0.604862\pi\)
−0.830174 + 0.557504i \(0.811759\pi\)
\(504\) −3.16137 3.72185i −0.140819 0.165785i
\(505\) 30.3826 + 14.0565i 1.35201 + 0.625505i
\(506\) 14.4136 6.66843i 0.640761 0.296448i
\(507\) −5.23735 + 6.16588i −0.232599 + 0.273836i
\(508\) 10.2928 6.19294i 0.456667 0.274767i
\(509\) −2.73734 0.297703i −0.121330 0.0131955i 0.0472524 0.998883i \(-0.484954\pi\)
−0.168583 + 0.985688i \(0.553919\pi\)
\(510\) 3.62486 22.1107i 0.160512 0.979078i
\(511\) −10.7368 10.1704i −0.474968 0.449914i
\(512\) −2.58401 + 0.870655i −0.114198 + 0.0384779i
\(513\) −6.27281 3.77422i −0.276951 0.166636i
\(514\) −36.6425 27.8549i −1.61623 1.22863i
\(515\) −3.03207 + 7.60993i −0.133609 + 0.335334i
\(516\) −13.0930 + 19.3108i −0.576388 + 0.850109i
\(517\) −2.75824 16.8245i −0.121307 0.739940i
\(518\) −2.05838 37.9645i −0.0904399 1.66807i
\(519\) 5.37185 + 1.18243i 0.235798 + 0.0519031i
\(520\) −8.05595 20.2189i −0.353277 0.886657i
\(521\) 7.30611 26.3142i 0.320086 1.15285i −0.612074 0.790801i \(-0.709664\pi\)
0.932160 0.362046i \(-0.117922\pi\)
\(522\) −0.303714 + 5.60168i −0.0132932 + 0.245179i
\(523\) 30.4037 3.30660i 1.32946 0.144588i 0.584335 0.811512i \(-0.301355\pi\)
0.745125 + 0.666925i \(0.232390\pi\)
\(524\) 27.1584 20.6453i 1.18642 0.901893i
\(525\) 2.63088 + 9.47559i 0.114821 + 0.413549i
\(526\) −50.9712 + 11.2196i −2.22245 + 0.489198i
\(527\) 13.2020 + 19.4715i 0.575088 + 0.848191i
\(528\) −0.436487 + 0.413462i −0.0189956 + 0.0179936i
\(529\) −7.17971 + 13.5424i −0.312161 + 0.588798i
\(530\) 7.74159 0.336273
\(531\) 7.68007 + 0.128649i 0.333287 + 0.00558289i
\(532\) 39.6554 1.71928
\(533\) 11.3153 21.3429i 0.490120 0.924465i
\(534\) 11.7389 11.1197i 0.507992 0.481195i
\(535\) −22.8090 33.6407i −0.986118 1.45442i
\(536\) 47.2616 10.4031i 2.04139 0.449344i
\(537\) −1.98326 7.14306i −0.0855840 0.308246i
\(538\) 27.5645 20.9540i 1.18839 0.903392i
\(539\) 10.6277 1.15584i 0.457769 0.0497854i
\(540\) −0.589871 + 10.8795i −0.0253840 + 0.468180i
\(541\) −1.85601 + 6.68474i −0.0797960 + 0.287399i −0.992672 0.120837i \(-0.961442\pi\)
0.912876 + 0.408236i \(0.133856\pi\)
\(542\) −2.90731 7.29680i −0.124880 0.313424i
\(543\) −13.2167 2.90921i −0.567182 0.124846i
\(544\) −0.856045 15.7888i −0.0367026 0.676940i
\(545\) 8.43254 + 51.4362i 0.361210 + 2.20329i
\(546\) 4.70964 6.94619i 0.201554 0.297270i
\(547\) 4.54991 11.4194i 0.194540 0.488259i −0.799055 0.601258i \(-0.794666\pi\)
0.993595 + 0.112999i \(0.0360458\pi\)
\(548\) 29.3468 + 22.3089i 1.25363 + 0.952988i
\(549\) −2.00885 1.20869i −0.0857357 0.0515855i
\(550\) 32.4471 10.9327i 1.38355 0.466171i
\(551\) −12.9641 12.2802i −0.552288 0.523155i
\(552\) −1.32881 + 8.10539i −0.0565579 + 0.344988i
\(553\) 20.8036 + 2.26253i 0.884659 + 0.0962125i
\(554\) −9.93877 + 5.97996i −0.422258 + 0.254064i
\(555\) −21.5267 + 25.3431i −0.913756 + 1.07576i
\(556\) 5.22338 2.41659i 0.221521 0.102486i
\(557\) −13.6858 6.33174i −0.579887 0.268284i 0.107942 0.994157i \(-0.465574\pi\)
−0.687829 + 0.725873i \(0.741436\pi\)
\(558\) −11.9089 14.0203i −0.504145 0.593526i
\(559\) −14.8940 5.01838i −0.629950 0.212255i
\(560\) −0.616177 1.16223i −0.0260382 0.0491133i
\(561\) −3.43462 6.47837i −0.145010 0.273517i
\(562\) −8.11417 2.73398i −0.342276 0.115326i
\(563\) −12.0959 14.2404i −0.509782 0.600162i 0.445710 0.895177i \(-0.352951\pi\)
−0.955493 + 0.295015i \(0.904675\pi\)
\(564\) 20.4158 + 9.44534i 0.859659 + 0.397721i
\(565\) 15.7014 7.26425i 0.660563 0.305609i
\(566\) 7.60872 8.95768i 0.319818 0.376519i
\(567\) −1.41106 + 0.849006i −0.0592589 + 0.0356549i
\(568\) −19.2131 2.08956i −0.806166 0.0876758i
\(569\) 3.99832 24.3887i 0.167618 1.02243i −0.760280 0.649595i \(-0.774938\pi\)
0.927899 0.372832i \(-0.121613\pi\)
\(570\) −40.4879 38.3522i −1.69585 1.60640i
\(571\) −15.6373 + 5.26883i −0.654402 + 0.220494i −0.626866 0.779127i \(-0.715663\pi\)
−0.0275360 + 0.999621i \(0.508766\pi\)
\(572\) −15.5701 9.36820i −0.651017 0.391704i
\(573\) 4.99755 + 3.79904i 0.208776 + 0.158707i
\(574\) 15.2828 38.3569i 0.637891 1.60099i
\(575\) 9.28240 13.6905i 0.387103 0.570934i
\(576\) 2.07833 + 12.6773i 0.0865971 + 0.528219i
\(577\) 2.39235 + 44.1243i 0.0995949 + 1.83692i 0.441588 + 0.897218i \(0.354415\pi\)
−0.341993 + 0.939703i \(0.611102\pi\)
\(578\) 18.7534 + 4.12794i 0.780040 + 0.171700i
\(579\) 2.77074 + 6.95404i 0.115148 + 0.289000i
\(580\) −7.11002 + 25.6080i −0.295228 + 1.06331i
\(581\) 0.0113948 0.210164i 0.000472735 0.00871909i
\(582\) 34.1934 3.71876i 1.41736 0.154148i
\(583\) 2.01691 1.53321i 0.0835317 0.0634992i
\(584\) −7.12441 25.6598i −0.294810 1.06181i
\(585\) −7.16809 + 1.57782i −0.296364 + 0.0652347i
\(586\) −31.6418 46.6682i −1.30711 1.92785i
\(587\) 19.8997 18.8500i 0.821347 0.778021i −0.156426 0.987690i \(-0.549997\pi\)
0.977772 + 0.209669i \(0.0672386\pi\)
\(588\) −6.60694 + 12.4620i −0.272466 + 0.513925i
\(589\) 58.5547 2.41270
\(590\) 56.9278 + 13.5343i 2.34368 + 0.557196i
\(591\) 19.2416 0.791494
\(592\) 1.13399 2.13893i 0.0466067 0.0879096i
\(593\) −30.4879 + 28.8797i −1.25199 + 1.18595i −0.277694 + 0.960670i \(0.589570\pi\)
−0.974295 + 0.225277i \(0.927671\pi\)
\(594\) 3.21765 + 4.74568i 0.132022 + 0.194717i
\(595\) 15.6683 3.44886i 0.642339 0.141390i
\(596\) 7.89679 + 28.4417i 0.323465 + 1.16502i
\(597\) 10.0474 7.63784i 0.411213 0.312596i
\(598\) −14.0329 + 1.52617i −0.573848 + 0.0624097i
\(599\) 1.00798 18.5910i 0.0411848 0.759610i −0.902889 0.429875i \(-0.858558\pi\)
0.944073 0.329735i \(-0.106959\pi\)
\(600\) −4.73740 + 17.0626i −0.193404 + 0.696576i
\(601\) −2.81985 7.07730i −0.115024 0.288689i 0.860182 0.509987i \(-0.170350\pi\)
−0.975206 + 0.221298i \(0.928971\pi\)
\(602\) −26.2353 5.77482i −1.06927 0.235364i
\(603\) −0.883520 16.2956i −0.0359797 0.663607i
\(604\) 8.63133 + 52.6488i 0.351204 + 2.14225i
\(605\) −8.89411 + 13.1178i −0.361597 + 0.533316i
\(606\) −8.60343 + 21.5930i −0.349490 + 0.877154i
\(607\) −11.0411 8.39322i −0.448144 0.340670i 0.356636 0.934243i \(-0.383924\pi\)
−0.804780 + 0.593573i \(0.797717\pi\)
\(608\) −33.7229 20.2904i −1.36765 0.822885i
\(609\) −3.80663 + 1.28260i −0.154252 + 0.0519736i
\(610\) −12.9661 12.2822i −0.524984 0.497291i
\(611\) −2.45156 + 14.9539i −0.0991797 + 0.604969i
\(612\) 9.61793 + 1.04601i 0.388782 + 0.0422826i
\(613\) −14.6348 + 8.80548i −0.591095 + 0.355650i −0.779463 0.626449i \(-0.784508\pi\)
0.188368 + 0.982099i \(0.439680\pi\)
\(614\) −9.29196 + 10.9393i −0.374993 + 0.441476i
\(615\) −32.7732 + 15.1625i −1.32154 + 0.611411i
\(616\) −11.0490 5.11183i −0.445178 0.205961i
\(617\) −2.57683 3.03368i −0.103739 0.122131i 0.707842 0.706371i \(-0.249669\pi\)
−0.811581 + 0.584239i \(0.801393\pi\)
\(618\) −5.39003 1.81611i −0.216819 0.0730547i
\(619\) 6.10790 + 11.5207i 0.245497 + 0.463057i 0.975385 0.220511i \(-0.0707723\pi\)
−0.729887 + 0.683567i \(0.760428\pi\)
\(620\) −40.8206 76.9959i −1.63940 3.09223i
\(621\) 2.62487 + 0.884420i 0.105332 + 0.0354906i
\(622\) 47.7634 + 56.2314i 1.91514 + 2.25467i
\(623\) 10.5078 + 4.86142i 0.420986 + 0.194769i
\(624\) 0.484989 0.224380i 0.0194151 0.00898238i
\(625\) −12.4282 + 14.6317i −0.497130 + 0.585267i
\(626\) −42.1748 + 25.3758i −1.68565 + 1.01422i
\(627\) −18.1439 1.97326i −0.724596 0.0788046i
\(628\) −10.0801 + 61.4857i −0.402239 + 2.45355i
\(629\) 21.4356 + 20.3048i 0.854692 + 0.809607i
\(630\) −11.8884 + 4.00567i −0.473646 + 0.159590i
\(631\) 16.4816 + 9.91663i 0.656121 + 0.394775i 0.804331 0.594181i \(-0.202524\pi\)
−0.148210 + 0.988956i \(0.547351\pi\)
\(632\) 29.9981 + 22.8040i 1.19326 + 0.907093i
\(633\) 4.39059 11.0195i 0.174510 0.437987i
\(634\) −36.2595 + 53.4788i −1.44005 + 2.12391i
\(635\) −1.95694 11.9368i −0.0776589 0.473698i
\(636\) 0.180973 + 3.33785i 0.00717604 + 0.132354i
\(637\) −9.27966 2.04261i −0.367673 0.0809311i
\(638\) 5.17665 + 12.9924i 0.204945 + 0.514374i
\(639\) −1.74360 + 6.27988i −0.0689757 + 0.248428i
\(640\) −3.37010 + 62.1578i −0.133215 + 2.45700i
\(641\) −24.8197 + 2.69931i −0.980320 + 0.106616i −0.584224 0.811593i \(-0.698601\pi\)
−0.396096 + 0.918209i \(0.629635\pi\)
\(642\) 22.4661 17.0783i 0.886666 0.674026i
\(643\) 3.56498 + 12.8399i 0.140589 + 0.506356i 0.999988 0.00495015i \(-0.00157569\pi\)
−0.859399 + 0.511306i \(0.829162\pi\)
\(644\) −14.6532 + 3.22541i −0.577416 + 0.127099i
\(645\) 13.1845 + 19.4457i 0.519141 + 0.765675i
\(646\) −35.9512 + 34.0548i −1.41448 + 1.33987i
\(647\) 18.9087 35.6656i 0.743377 1.40216i −0.165975 0.986130i \(-0.553077\pi\)
0.909352 0.416028i \(-0.136578\pi\)
\(648\) −2.96534 −0.116490
\(649\) 17.5118 7.74842i 0.687397 0.304152i
\(650\) −30.4325 −1.19366
\(651\) 6.16978 11.6374i 0.241813 0.456107i
\(652\) −11.0469 + 10.4642i −0.432630 + 0.409809i
\(653\) 12.6247 + 18.6200i 0.494041 + 0.728656i 0.990212 0.139568i \(-0.0445715\pi\)
−0.496171 + 0.868225i \(0.665261\pi\)
\(654\) −35.3443 + 7.77987i −1.38207 + 0.304217i
\(655\) −9.19041 33.1009i −0.359099 1.29336i
\(656\) 2.09301 1.59107i 0.0817184 0.0621207i
\(657\) −8.92793 + 0.970970i −0.348312 + 0.0378812i
\(658\) −1.40223 + 25.8626i −0.0546647 + 1.00823i
\(659\) 5.10327 18.3803i 0.198795 0.715996i −0.795178 0.606376i \(-0.792623\pi\)
0.993974 0.109620i \(-0.0349635\pi\)
\(660\) 10.0540 + 25.2337i 0.391353 + 0.982222i
\(661\) −30.4956 6.71259i −1.18614 0.261089i −0.422277 0.906467i \(-0.638769\pi\)
−0.763864 + 0.645377i \(0.776700\pi\)
\(662\) 2.41690 + 44.5770i 0.0939353 + 1.73254i
\(663\) 1.05438 + 6.43141i 0.0409486 + 0.249775i
\(664\) 0.212688 0.313691i 0.00825389 0.0121736i
\(665\) 14.7806 37.0964i 0.573165 1.43854i
\(666\) −18.3799 13.9720i −0.712205 0.541404i
\(667\) 5.78922 + 3.48326i 0.224160 + 0.134872i
\(668\) −27.3170 + 9.20418i −1.05693 + 0.356120i
\(669\) −4.80728 4.55370i −0.185860 0.176056i
\(670\) 20.1129 122.683i 0.777029 4.73967i
\(671\) −5.81053 0.631933i −0.224313 0.0243955i
\(672\) −7.58593 + 4.56430i −0.292634 + 0.176072i
\(673\) 6.29442 7.41036i 0.242632 0.285649i −0.627344 0.778742i \(-0.715858\pi\)
0.869976 + 0.493094i \(0.164134\pi\)
\(674\) 13.5754 6.28065i 0.522905 0.241922i
\(675\) 5.41973 + 2.50743i 0.208606 + 0.0965112i
\(676\) −17.2275 20.2818i −0.662596 0.780069i
\(677\) 5.30152 + 1.78629i 0.203754 + 0.0686527i 0.419328 0.907835i \(-0.362266\pi\)
−0.215574 + 0.976488i \(0.569162\pi\)
\(678\) 5.62660 + 10.6129i 0.216088 + 0.407586i
\(679\) 11.5360 + 21.7593i 0.442712 + 0.835044i
\(680\) 27.3769 + 9.22436i 1.04986 + 0.353738i
\(681\) −3.19688 3.76366i −0.122505 0.144224i
\(682\) −41.6219 19.2563i −1.59378 0.737363i
\(683\) −15.0737 + 6.97382i −0.576778 + 0.266846i −0.686516 0.727115i \(-0.740861\pi\)
0.109738 + 0.993961i \(0.464999\pi\)
\(684\) 15.5894 18.3532i 0.596074 0.701753i
\(685\) 31.8076 19.1380i 1.21531 0.731225i
\(686\) −42.5017 4.62233i −1.62272 0.176482i
\(687\) −0.148975 + 0.908708i −0.00568376 + 0.0346694i
\(688\) −1.24183 1.17633i −0.0473444 0.0448470i
\(689\) −2.13395 + 0.719010i −0.0812968 + 0.0273921i
\(690\) 18.0802 + 10.8785i 0.688302 + 0.414138i
\(691\) 29.0878 + 22.1120i 1.10655 + 0.841180i 0.988409 0.151816i \(-0.0485121\pi\)
0.118145 + 0.992996i \(0.462305\pi\)
\(692\) −6.69689 + 16.8079i −0.254578 + 0.638942i
\(693\) −2.30396 + 3.39808i −0.0875200 + 0.129082i
\(694\) −13.5414 82.5992i −0.514026 3.13542i
\(695\) −0.313764 5.78704i −0.0119018 0.219515i
\(696\) −7.06407 1.55492i −0.267763 0.0589390i
\(697\) 11.8683 + 29.7872i 0.449543 + 1.12827i
\(698\) 12.4746 44.9294i 0.472170 1.70060i
\(699\) −0.175886 + 3.24402i −0.00665262 + 0.122700i
\(700\) −32.1581 + 3.49740i −1.21546 + 0.132189i
\(701\) −11.1921 + 8.50803i −0.422720 + 0.321344i −0.794816 0.606851i \(-0.792433\pi\)
0.372095 + 0.928195i \(0.378639\pi\)
\(702\) −1.36337 4.91040i −0.0514570 0.185331i
\(703\) 71.7722 15.7983i 2.70694 0.595843i
\(704\) 17.9730 + 26.5083i 0.677385 + 0.999067i
\(705\) 16.4453 15.5778i 0.619366 0.586695i
\(706\) −11.3243 + 21.3599i −0.426197 + 0.803892i
\(707\) −16.6434 −0.625941
\(708\) −4.50461 + 24.8612i −0.169294 + 0.934343i
\(709\) 8.71519 0.327306 0.163653 0.986518i \(-0.447672\pi\)
0.163653 + 0.986518i \(0.447672\pi\)
\(710\) −23.2562 + 43.8659i −0.872790 + 1.64626i
\(711\) 9.22548 8.73884i 0.345982 0.327732i
\(712\) 11.6997 + 17.2558i 0.438465 + 0.646687i
\(713\) −21.6367 + 4.76260i −0.810301 + 0.178361i
\(714\) 2.98011 + 10.7334i 0.111528 + 0.401687i
\(715\) −14.5670 + 11.0736i −0.544776 + 0.414128i
\(716\) 24.2420 2.63647i 0.905965 0.0985296i
\(717\) −0.889589 + 16.4075i −0.0332223 + 0.612750i
\(718\) 2.36760 8.52731i 0.0883579 0.318236i
\(719\) −1.41106 3.54149i −0.0526236 0.132075i 0.900315 0.435239i \(-0.143336\pi\)
−0.952938 + 0.303164i \(0.901957\pi\)
\(720\) −0.780135 0.171721i −0.0290739 0.00639965i
\(721\) −0.220489 4.06667i −0.00821143 0.151451i
\(722\) 12.8712 + 78.5108i 0.479016 + 2.92187i
\(723\) −2.16219 + 3.18899i −0.0804127 + 0.118600i
\(724\) 16.4768 41.3535i 0.612354 1.53689i
\(725\) 11.5961 + 8.81514i 0.430669 + 0.327386i
\(726\) −9.42907 5.67328i −0.349946 0.210555i
\(727\) −11.4538 + 3.85923i −0.424797 + 0.143131i −0.523577 0.851978i \(-0.675403\pi\)
0.0987796 + 0.995109i \(0.468506\pi\)
\(728\) 7.85574 + 7.44136i 0.291153 + 0.275795i
\(729\) −0.161782 + 0.986827i −0.00599193 + 0.0365491i
\(730\) −68.0124 7.39680i −2.51725 0.273768i
\(731\) 17.8753 10.7552i 0.661142 0.397796i
\(732\) 4.99245 5.87757i 0.184526 0.217241i
\(733\) 38.8273 17.9634i 1.43412 0.663495i 0.459668 0.888091i \(-0.347968\pi\)
0.974452 + 0.224596i \(0.0721063\pi\)
\(734\) −38.1993 17.6729i −1.40996 0.652318i
\(735\) 9.19527 + 10.8255i 0.339173 + 0.399305i
\(736\) 14.1114 + 4.75469i 0.520154 + 0.175260i
\(737\) −19.0573 35.9459i −0.701984 1.32408i
\(738\) −11.7443 22.1521i −0.432313 0.815429i
\(739\) −39.8067 13.4125i −1.46431 0.493385i −0.529435 0.848350i \(-0.677596\pi\)
−0.934879 + 0.354965i \(0.884493\pi\)
\(740\) −70.8089 83.3627i −2.60299 3.06447i
\(741\) 14.7224 + 6.81129i 0.540840 + 0.250219i
\(742\) −3.49312 + 1.61609i −0.128236 + 0.0593285i
\(743\) −9.99369 + 11.7655i −0.366633 + 0.431634i −0.914284 0.405073i \(-0.867246\pi\)
0.547651 + 0.836707i \(0.315522\pi\)
\(744\) 20.3232 12.2280i 0.745083 0.448302i
\(745\) 29.5497 + 3.21372i 1.08262 + 0.117742i
\(746\) 2.56138 15.6237i 0.0937788 0.572025i
\(747\) −0.0927884 0.0878939i −0.00339495 0.00321587i
\(748\) 22.8567 7.70133i 0.835725 0.281588i
\(749\) 17.3144 + 10.4177i 0.632654 + 0.380655i
\(750\) 5.89272 + 4.47953i 0.215172 + 0.163569i
\(751\) 7.17407 18.0056i 0.261785 0.657032i −0.738058 0.674738i \(-0.764257\pi\)
0.999843 + 0.0177055i \(0.00563614\pi\)
\(752\) −0.925523 + 1.36504i −0.0337503 + 0.0497780i
\(753\) 2.44518 + 14.9149i 0.0891072 + 0.543530i
\(754\) −0.672986 12.4125i −0.0245087 0.452037i
\(755\) 52.4685 + 11.5492i 1.90952 + 0.420318i
\(756\) −2.00499 5.03214i −0.0729207 0.183017i
\(757\) 5.06755 18.2517i 0.184183 0.663368i −0.812571 0.582862i \(-0.801933\pi\)
0.996754 0.0805054i \(-0.0256534\pi\)
\(758\) −0.455205 + 8.39576i −0.0165338 + 0.304948i
\(759\) 6.86489 0.746602i 0.249180 0.0270999i
\(760\) 57.2438 43.5156i 2.07645 1.57848i
\(761\) 10.1850 + 36.6829i 0.369205 + 1.32976i 0.882002 + 0.471245i \(0.156195\pi\)
−0.512797 + 0.858510i \(0.671391\pi\)
\(762\) 8.20237 1.80548i 0.297140 0.0654056i
\(763\) −14.5424 21.4485i −0.526471 0.776487i
\(764\) −14.9913 + 14.2005i −0.542365 + 0.513756i
\(765\) 4.56336 8.60741i 0.164989 0.311202i
\(766\) −33.6608 −1.21622
\(767\) −16.9490 + 1.55656i −0.611992 + 0.0562043i
\(768\) −17.5284 −0.632501
\(769\) −25.3965 + 47.9029i −0.915822 + 1.72742i −0.271913 + 0.962322i \(0.587656\pi\)
−0.643909 + 0.765102i \(0.722689\pi\)
\(770\) −22.7059 + 21.5081i −0.818262 + 0.775099i
\(771\) −11.2312 16.5648i −0.404483 0.596567i
\(772\) −24.0475 + 5.29324i −0.865487 + 0.190508i
\(773\) 8.57083 +