Properties

Label 576.2.bm.a.205.80
Level $576$
Weight $2$
Character 576.205
Analytic conductor $4.599$
Analytic rank $0$
Dimension $1504$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 576 = 2^{6} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 576.bm (of order \(48\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.59938315643\)
Analytic rank: \(0\)
Dimension: \(1504\)
Relative dimension: \(94\) over \(\Q(\zeta_{48})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{48}]$

Embedding invariants

Embedding label 205.80
Character \(\chi\) \(=\) 576.205
Dual form 576.2.bm.a.517.80

$q$-expansion

\(f(q)\) \(=\) \(q+(1.26096 + 0.640304i) q^{2} +(1.37357 + 1.05513i) q^{3} +(1.18002 + 1.61479i) q^{4} +(0.347943 + 0.396753i) q^{5} +(1.05640 + 2.20998i) q^{6} +(2.56782 + 0.338060i) q^{7} +(0.454001 + 2.79175i) q^{8} +(0.773384 + 2.89860i) q^{9} +O(q^{10})\) \(q+(1.26096 + 0.640304i) q^{2} +(1.37357 + 1.05513i) q^{3} +(1.18002 + 1.61479i) q^{4} +(0.347943 + 0.396753i) q^{5} +(1.05640 + 2.20998i) q^{6} +(2.56782 + 0.338060i) q^{7} +(0.454001 + 2.79175i) q^{8} +(0.773384 + 2.89860i) q^{9} +(0.184699 + 0.723078i) q^{10} +(-1.93917 - 3.93224i) q^{11} +(-0.0829782 + 3.46311i) q^{12} +(-1.46592 - 4.31846i) q^{13} +(3.02145 + 2.07046i) q^{14} +(0.0592962 + 0.912095i) q^{15} +(-1.21509 + 3.81098i) q^{16} +(-3.42677 - 3.42677i) q^{17} +(-0.880781 + 4.15021i) q^{18} +(-0.675985 + 3.39840i) q^{19} +(-0.230093 + 1.03003i) q^{20} +(3.17038 + 3.17374i) q^{21} +(0.0726238 - 6.20005i) q^{22} +(-0.716559 - 5.44281i) q^{23} +(-2.32207 + 4.31370i) q^{24} +(0.616282 - 4.68113i) q^{25} +(0.916666 - 6.38403i) q^{26} +(-1.99612 + 4.79745i) q^{27} +(2.48419 + 4.54540i) q^{28} +(-2.67205 + 0.175136i) q^{29} +(-0.509248 + 1.18808i) q^{30} +(-3.23242 + 1.86624i) q^{31} +(-3.97236 + 4.02745i) q^{32} +(1.48546 - 7.44729i) q^{33} +(-2.12683 - 6.51517i) q^{34} +(0.759329 + 1.13642i) q^{35} +(-3.76802 + 4.66926i) q^{36} +(1.61701 + 8.12927i) q^{37} +(-3.02840 + 3.85240i) q^{38} +(2.54301 - 7.47845i) q^{39} +(-0.949671 + 1.15150i) q^{40} +(1.30537 + 9.91529i) q^{41} +(1.96555 + 6.03195i) q^{42} +(4.70955 - 2.32250i) q^{43} +(4.06149 - 7.77149i) q^{44} +(-0.880935 + 1.31539i) q^{45} +(2.58150 - 7.32196i) q^{46} +(6.57313 - 1.76127i) q^{47} +(-5.69011 + 3.95255i) q^{48} +(-0.282077 - 0.0755824i) q^{49} +(3.77445 - 5.50809i) q^{50} +(-1.09120 - 8.32260i) q^{51} +(5.24359 - 7.46304i) q^{52} +(2.45836 - 3.67920i) q^{53} +(-5.58884 + 4.77126i) q^{54} +(0.885411 - 2.13757i) q^{55} +(0.222012 + 7.32219i) q^{56} +(-4.51428 + 3.95469i) q^{57} +(-3.48148 - 1.49009i) q^{58} +(-5.61945 - 6.40776i) q^{59} +(-1.40287 + 1.17204i) q^{60} +(0.992717 + 15.1459i) q^{61} +(-5.27090 + 0.283515i) q^{62} +(1.00601 + 7.70452i) q^{63} +(-7.58777 + 2.53492i) q^{64} +(1.20331 - 2.08419i) q^{65} +(6.64163 - 8.43956i) q^{66} +(-9.00800 - 4.44225i) q^{67} +(1.48985 - 9.57717i) q^{68} +(4.75865 - 8.23214i) q^{69} +(0.229829 + 1.91917i) q^{70} +(3.11684 + 7.52471i) q^{71} +(-7.74106 + 3.47506i) q^{72} +(4.52457 - 10.9233i) q^{73} +(-3.16622 + 11.2860i) q^{74} +(5.78573 - 5.77959i) q^{75} +(-6.28539 + 2.91862i) q^{76} +(-3.65010 - 10.7528i) q^{77} +(7.99511 - 7.80170i) q^{78} +(0.461461 + 1.72220i) q^{79} +(-1.93480 + 0.843911i) q^{80} +(-7.80376 + 4.48346i) q^{81} +(-4.70278 + 13.3386i) q^{82} +(-10.8306 - 9.49820i) q^{83} +(-1.38381 + 8.86458i) q^{84} +(0.167260 - 2.55190i) q^{85} +(7.42565 + 0.0869798i) q^{86} +(-3.85504 - 2.57881i) q^{87} +(10.0975 - 7.19892i) q^{88} +(-1.48819 + 0.616427i) q^{89} +(-1.95307 + 1.09458i) q^{90} +(-2.30432 - 11.5846i) q^{91} +(7.94344 - 7.57973i) q^{92} +(-6.40909 - 0.847230i) q^{93} +(9.41618 + 1.98792i) q^{94} +(-1.58353 + 0.914253i) q^{95} +(-9.70581 + 1.34060i) q^{96} +(15.5896 + 9.00069i) q^{97} +(-0.307291 - 0.275921i) q^{98} +(9.89828 - 8.66201i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1504q - 8q^{2} - 16q^{3} - 8q^{4} - 8q^{5} - 16q^{6} - 8q^{7} - 32q^{8} - 16q^{9} + O(q^{10}) \) \( 1504q - 8q^{2} - 16q^{3} - 8q^{4} - 8q^{5} - 16q^{6} - 8q^{7} - 32q^{8} - 16q^{9} - 32q^{10} - 8q^{11} - 16q^{12} - 8q^{13} - 8q^{14} - 16q^{15} - 8q^{16} - 32q^{17} - 16q^{18} - 32q^{19} - 8q^{20} - 16q^{21} - 8q^{22} - 8q^{23} + 64q^{24} - 8q^{25} - 32q^{26} - 16q^{27} - 32q^{28} - 8q^{29} - 96q^{30} - 8q^{32} - 8q^{34} - 32q^{35} - 96q^{36} - 32q^{37} - 8q^{38} - 16q^{39} - 8q^{40} - 8q^{41} + 64q^{42} - 8q^{43} - 32q^{44} - 16q^{45} - 32q^{46} - 8q^{47} - 16q^{48} - 8q^{49} - 8q^{50} - 16q^{51} - 8q^{52} - 32q^{53} - 16q^{54} - 32q^{55} - 8q^{56} - 16q^{57} - 80q^{58} - 8q^{59} - 16q^{60} - 8q^{61} - 64q^{62} - 32q^{63} - 32q^{64} - 16q^{65} - 32q^{66} - 8q^{67} - 8q^{68} - 16q^{69} - 8q^{70} - 32q^{71} - 16q^{72} - 32q^{73} - 8q^{74} - 16q^{75} + 40q^{76} - 8q^{77} - 40q^{78} - 8q^{79} - 160q^{80} - 16q^{81} - 32q^{82} - 8q^{83} - 128q^{84} - 8q^{85} - 216q^{86} - 16q^{87} - 8q^{88} - 32q^{89} - 160q^{90} - 32q^{91} + 144q^{92} - 40q^{93} - 8q^{94} - 152q^{96} - 304q^{98} - 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/576\mathbb{Z}\right)^\times\).

\(n\) \(65\) \(127\) \(325\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(1\) \(e\left(\frac{15}{16}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.26096 + 0.640304i 0.891631 + 0.452763i
\(3\) 1.37357 + 1.05513i 0.793030 + 0.609182i
\(4\) 1.18002 + 1.61479i 0.590011 + 0.807395i
\(5\) 0.347943 + 0.396753i 0.155605 + 0.177434i 0.824390 0.566023i \(-0.191519\pi\)
−0.668785 + 0.743456i \(0.733185\pi\)
\(6\) 1.05640 + 2.20998i 0.431275 + 0.902220i
\(7\) 2.56782 + 0.338060i 0.970544 + 0.127775i 0.599094 0.800679i \(-0.295527\pi\)
0.371450 + 0.928453i \(0.378861\pi\)
\(8\) 0.454001 + 2.79175i 0.160513 + 0.987034i
\(9\) 0.773384 + 2.89860i 0.257795 + 0.966200i
\(10\) 0.184699 + 0.723078i 0.0584069 + 0.228657i
\(11\) −1.93917 3.93224i −0.584681 1.18562i −0.965363 0.260910i \(-0.915977\pi\)
0.380682 0.924706i \(-0.375689\pi\)
\(12\) −0.0829782 + 3.46311i −0.0239537 + 0.999713i
\(13\) −1.46592 4.31846i −0.406573 1.19773i −0.936799 0.349869i \(-0.886226\pi\)
0.530225 0.847857i \(-0.322107\pi\)
\(14\) 3.02145 + 2.07046i 0.807515 + 0.553354i
\(15\) 0.0592962 + 0.912095i 0.0153102 + 0.235502i
\(16\) −1.21509 + 3.81098i −0.303774 + 0.952744i
\(17\) −3.42677 3.42677i −0.831113 0.831113i 0.156556 0.987669i \(-0.449961\pi\)
−0.987669 + 0.156556i \(0.949961\pi\)
\(18\) −0.880781 + 4.15021i −0.207602 + 0.978213i
\(19\) −0.675985 + 3.39840i −0.155082 + 0.779647i 0.822447 + 0.568842i \(0.192609\pi\)
−0.977528 + 0.210805i \(0.932391\pi\)
\(20\) −0.230093 + 1.03003i −0.0514503 + 0.230323i
\(21\) 3.17038 + 3.17374i 0.691833 + 0.692567i
\(22\) 0.0726238 6.20005i 0.0154835 1.32185i
\(23\) −0.716559 5.44281i −0.149413 1.13490i −0.887702 0.460419i \(-0.847699\pi\)
0.738289 0.674485i \(-0.235634\pi\)
\(24\) −2.32207 + 4.31370i −0.473991 + 0.880530i
\(25\) 0.616282 4.68113i 0.123256 0.936226i
\(26\) 0.916666 6.38403i 0.179773 1.25201i
\(27\) −1.99612 + 4.79745i −0.384153 + 0.923270i
\(28\) 2.48419 + 4.54540i 0.469467 + 0.859001i
\(29\) −2.67205 + 0.175136i −0.496188 + 0.0325219i −0.311443 0.950265i \(-0.600812\pi\)
−0.184744 + 0.982787i \(0.559146\pi\)
\(30\) −0.509248 + 1.18808i −0.0929755 + 0.216913i
\(31\) −3.23242 + 1.86624i −0.580560 + 0.335187i −0.761356 0.648334i \(-0.775466\pi\)
0.180796 + 0.983521i \(0.442133\pi\)
\(32\) −3.97236 + 4.02745i −0.702221 + 0.711959i
\(33\) 1.48546 7.44729i 0.258586 1.29641i
\(34\) −2.12683 6.51517i −0.364749 1.11734i
\(35\) 0.759329 + 1.13642i 0.128350 + 0.192089i
\(36\) −3.76802 + 4.66926i −0.628003 + 0.778211i
\(37\) 1.61701 + 8.12927i 0.265835 + 1.33644i 0.850845 + 0.525418i \(0.176091\pi\)
−0.585009 + 0.811027i \(0.698909\pi\)
\(38\) −3.02840 + 3.85240i −0.491271 + 0.624943i
\(39\) 2.54301 7.47845i 0.407208 1.19751i
\(40\) −0.949671 + 1.15150i −0.150156 + 0.182068i
\(41\) 1.30537 + 9.91529i 0.203865 + 1.54851i 0.721201 + 0.692726i \(0.243590\pi\)
−0.517336 + 0.855782i \(0.673076\pi\)
\(42\) 1.96555 + 6.03195i 0.303291 + 0.930750i
\(43\) 4.70955 2.32250i 0.718200 0.354177i −0.0461885 0.998933i \(-0.514707\pi\)
0.764389 + 0.644756i \(0.223041\pi\)
\(44\) 4.06149 7.77149i 0.612292 1.17160i
\(45\) −0.880935 + 1.31539i −0.131322 + 0.196087i
\(46\) 2.58150 7.32196i 0.380621 1.07956i
\(47\) 6.57313 1.76127i 0.958790 0.256907i 0.254702 0.967020i \(-0.418023\pi\)
0.704088 + 0.710113i \(0.251356\pi\)
\(48\) −5.69011 + 3.95255i −0.821296 + 0.570502i
\(49\) −0.282077 0.0755824i −0.0402967 0.0107975i
\(50\) 3.77445 5.50809i 0.533788 0.778962i
\(51\) −1.09120 8.32260i −0.152799 1.16540i
\(52\) 5.24359 7.46304i 0.727155 1.03494i
\(53\) 2.45836 3.67920i 0.337682 0.505376i −0.623302 0.781981i \(-0.714209\pi\)
0.960984 + 0.276605i \(0.0892093\pi\)
\(54\) −5.58884 + 4.77126i −0.760545 + 0.649286i
\(55\) 0.885411 2.13757i 0.119389 0.288230i
\(56\) 0.222012 + 7.32219i 0.0296676 + 0.978469i
\(57\) −4.51428 + 3.95469i −0.597932 + 0.523811i
\(58\) −3.48148 1.49009i −0.457141 0.195658i
\(59\) −5.61945 6.40776i −0.731591 0.834219i 0.259731 0.965681i \(-0.416366\pi\)
−0.991321 + 0.131462i \(0.958033\pi\)
\(60\) −1.40287 + 1.17204i −0.181110 + 0.151310i
\(61\) 0.992717 + 15.1459i 0.127104 + 1.93924i 0.299265 + 0.954170i \(0.403259\pi\)
−0.172160 + 0.985069i \(0.555075\pi\)
\(62\) −5.27090 + 0.283515i −0.669406 + 0.0360065i
\(63\) 1.00601 + 7.70452i 0.126745 + 0.970679i
\(64\) −7.58777 + 2.53492i −0.948471 + 0.316864i
\(65\) 1.20331 2.08419i 0.149252 0.258512i
\(66\) 6.64163 8.43956i 0.817529 1.03884i
\(67\) −9.00800 4.44225i −1.10050 0.542708i −0.200986 0.979594i \(-0.564414\pi\)
−0.899517 + 0.436887i \(0.856081\pi\)
\(68\) 1.48985 9.57717i 0.180671 1.16140i
\(69\) 4.75865 8.23214i 0.572874 0.991033i
\(70\) 0.229829 + 1.91917i 0.0274699 + 0.229385i
\(71\) 3.11684 + 7.52471i 0.369901 + 0.893019i 0.993766 + 0.111487i \(0.0355614\pi\)
−0.623865 + 0.781532i \(0.714439\pi\)
\(72\) −7.74106 + 3.47506i −0.912292 + 0.409540i
\(73\) 4.52457 10.9233i 0.529560 1.27847i −0.402251 0.915529i \(-0.631772\pi\)
0.931812 0.362942i \(-0.118228\pi\)
\(74\) −3.16622 + 11.2860i −0.368066 + 1.31198i
\(75\) 5.78573 5.77959i 0.668078 0.667370i
\(76\) −6.28539 + 2.91862i −0.720983 + 0.334789i
\(77\) −3.65010 10.7528i −0.415967 1.22540i
\(78\) 7.99511 7.80170i 0.905268 0.883368i
\(79\) 0.461461 + 1.72220i 0.0519184 + 0.193762i 0.987014 0.160633i \(-0.0513535\pi\)
−0.935096 + 0.354395i \(0.884687\pi\)
\(80\) −1.93480 + 0.843911i −0.216317 + 0.0943522i
\(81\) −7.80376 + 4.48346i −0.867084 + 0.498162i
\(82\) −4.70278 + 13.3386i −0.519335 + 1.47300i
\(83\) −10.8306 9.49820i −1.18882 1.04256i −0.998143 0.0609096i \(-0.980600\pi\)
−0.190672 0.981654i \(-0.561067\pi\)
\(84\) −1.38381 + 8.86458i −0.150986 + 0.967205i
\(85\) 0.167260 2.55190i 0.0181419 0.276793i
\(86\) 7.42565 + 0.0869798i 0.800728 + 0.00937928i
\(87\) −3.85504 2.57881i −0.413304 0.276478i
\(88\) 10.0975 7.19892i 1.07639 0.767407i
\(89\) −1.48819 + 0.616427i −0.157747 + 0.0653411i −0.460160 0.887836i \(-0.652208\pi\)
0.302413 + 0.953177i \(0.402208\pi\)
\(90\) −1.95307 + 1.09458i −0.205872 + 0.115379i
\(91\) −2.30432 11.5846i −0.241558 1.21440i
\(92\) 7.94344 7.57973i 0.828161 0.790241i
\(93\) −6.40909 0.847230i −0.664592 0.0878537i
\(94\) 9.41618 + 1.98792i 0.971205 + 0.205038i
\(95\) −1.58353 + 0.914253i −0.162467 + 0.0938004i
\(96\) −9.70581 + 1.34060i −0.990595 + 0.136824i
\(97\) 15.5896 + 9.00069i 1.58289 + 0.913881i 0.994435 + 0.105350i \(0.0335964\pi\)
0.588454 + 0.808531i \(0.299737\pi\)
\(98\) −0.307291 0.275921i −0.0310411 0.0278722i
\(99\) 9.89828 8.66201i 0.994814 0.870564i
\(100\) 8.28627 4.52867i 0.828627 0.452867i
\(101\) 10.6797 + 3.62527i 1.06267 + 0.360728i 0.797403 0.603447i \(-0.206207\pi\)
0.265267 + 0.964175i \(0.414540\pi\)
\(102\) 3.95303 11.1931i 0.391408 1.10829i
\(103\) 8.50926 + 6.52939i 0.838443 + 0.643360i 0.936051 0.351865i \(-0.114452\pi\)
−0.0976079 + 0.995225i \(0.531119\pi\)
\(104\) 11.3906 6.05307i 1.11694 0.593553i
\(105\) −0.156081 + 2.36214i −0.0152319 + 0.230521i
\(106\) 5.45569 3.06521i 0.529903 0.297719i
\(107\) −7.89615 5.27604i −0.763350 0.510054i 0.111903 0.993719i \(-0.464305\pi\)
−0.875253 + 0.483665i \(0.839305\pi\)
\(108\) −10.1023 + 2.43779i −0.972098 + 0.234577i
\(109\) −1.26061 + 6.33751i −0.120745 + 0.607024i 0.872269 + 0.489026i \(0.162648\pi\)
−0.993014 + 0.117998i \(0.962352\pi\)
\(110\) 2.48516 2.12845i 0.236951 0.202940i
\(111\) −6.35639 + 12.8723i −0.603322 + 1.22178i
\(112\) −4.40848 + 9.37512i −0.416562 + 0.885866i
\(113\) 9.12061 + 2.44386i 0.857995 + 0.229899i 0.660890 0.750483i \(-0.270179\pi\)
0.197106 + 0.980382i \(0.436846\pi\)
\(114\) −8.22452 + 2.09618i −0.770297 + 0.196325i
\(115\) 1.91013 2.17809i 0.178121 0.203108i
\(116\) −3.43589 4.10814i −0.319014 0.381431i
\(117\) 11.3838 7.58895i 1.05243 0.701598i
\(118\) −2.98298 11.6781i −0.274605 1.07505i
\(119\) −7.64086 9.95776i −0.700436 0.912826i
\(120\) −2.51942 + 0.579632i −0.229991 + 0.0529129i
\(121\) −5.00580 + 6.52368i −0.455072 + 0.593062i
\(122\) −8.44623 + 19.7340i −0.764686 + 1.78663i
\(123\) −8.66894 + 14.9967i −0.781652 + 1.35221i
\(124\) −6.82792 3.01748i −0.613165 0.270978i
\(125\) 4.26556 2.85016i 0.381523 0.254926i
\(126\) −3.66470 + 10.3592i −0.326478 + 0.922873i
\(127\) 5.65905 0.502159 0.251080 0.967966i \(-0.419214\pi\)
0.251080 + 0.967966i \(0.419214\pi\)
\(128\) −11.1910 1.66206i −0.989150 0.146907i
\(129\) 8.91944 + 1.77910i 0.785313 + 0.156641i
\(130\) 2.85183 1.85759i 0.250122 0.162921i
\(131\) −4.46607 2.20242i −0.390203 0.192427i 0.236596 0.971608i \(-0.423968\pi\)
−0.626798 + 0.779182i \(0.715635\pi\)
\(132\) 13.7787 6.38926i 1.19928 0.556114i
\(133\) −2.88467 + 8.49796i −0.250132 + 0.736867i
\(134\) −8.51430 11.3693i −0.735524 0.982162i
\(135\) −2.59794 + 0.877276i −0.223595 + 0.0755039i
\(136\) 8.01093 11.1224i 0.686931 0.953741i
\(137\) −5.06075 6.59530i −0.432369 0.563474i 0.525458 0.850820i \(-0.323894\pi\)
−0.957827 + 0.287345i \(0.907227\pi\)
\(138\) 11.2715 7.33339i 0.959495 0.624259i
\(139\) −2.99245 0.196136i −0.253817 0.0166360i −0.0620363 0.998074i \(-0.519759\pi\)
−0.191780 + 0.981438i \(0.561426\pi\)
\(140\) −0.939048 + 2.56715i −0.0793641 + 0.216964i
\(141\) 10.8870 + 4.51632i 0.916853 + 0.380342i
\(142\) −0.887904 + 11.4841i −0.0745113 + 0.963721i
\(143\) −14.1386 + 14.1386i −1.18233 + 1.18233i
\(144\) −11.9862 0.574725i −0.998852 0.0478937i
\(145\) −0.999209 0.999209i −0.0829798 0.0829798i
\(146\) 12.6995 10.8767i 1.05102 0.900159i
\(147\) −0.307703 0.401447i −0.0253789 0.0331108i
\(148\) −11.2190 + 12.2039i −0.922193 + 1.00315i
\(149\) −0.218438 + 3.33272i −0.0178951 + 0.273027i 0.979529 + 0.201302i \(0.0645171\pi\)
−0.997424 + 0.0717252i \(0.977150\pi\)
\(150\) 10.9962 3.58319i 0.897839 0.292567i
\(151\) 8.34378 6.40241i 0.679007 0.521021i −0.210701 0.977551i \(-0.567575\pi\)
0.889708 + 0.456530i \(0.150908\pi\)
\(152\) −9.79440 0.344304i −0.794431 0.0279268i
\(153\) 7.28262 12.5830i 0.588765 1.01728i
\(154\) 2.28247 15.8960i 0.183927 1.28094i
\(155\) −1.86514 0.633129i −0.149811 0.0508541i
\(156\) 15.0769 4.71830i 1.20712 0.377767i
\(157\) −0.705754 + 1.43113i −0.0563253 + 0.114216i −0.923215 0.384283i \(-0.874449\pi\)
0.866890 + 0.498499i \(0.166115\pi\)
\(158\) −0.520846 + 2.46709i −0.0414363 + 0.196271i
\(159\) 7.25877 2.45973i 0.575658 0.195069i
\(160\) −2.98006 0.174726i −0.235595 0.0138133i
\(161\) 14.2184i 1.12057i
\(162\) −12.7110 + 0.656673i −0.998668 + 0.0515931i
\(163\) 1.99738 + 2.98929i 0.156447 + 0.234139i 0.901410 0.432966i \(-0.142533\pi\)
−0.744963 + 0.667105i \(0.767533\pi\)
\(164\) −14.4707 + 13.8082i −1.12998 + 1.07824i
\(165\) 3.47160 2.00187i 0.270263 0.155846i
\(166\) −7.57521 18.9117i −0.587950 1.46783i
\(167\) −6.25759 4.80162i −0.484227 0.371561i 0.337607 0.941287i \(-0.390382\pi\)
−0.821834 + 0.569727i \(0.807049\pi\)
\(168\) −7.42095 + 10.2918i −0.572538 + 0.794029i
\(169\) −6.18661 + 4.74715i −0.475893 + 0.365165i
\(170\) 1.84490 3.11074i 0.141497 0.238583i
\(171\) −10.3734 + 0.668862i −0.793274 + 0.0511492i
\(172\) 9.30772 + 4.86435i 0.709707 + 0.370903i
\(173\) 10.8468 + 9.51235i 0.824663 + 0.723210i 0.963674 0.267081i \(-0.0860590\pi\)
−0.139011 + 0.990291i \(0.544392\pi\)
\(174\) −3.20981 5.72017i −0.243335 0.433645i
\(175\) 3.16500 11.8119i 0.239252 0.892899i
\(176\) 17.3420 2.61208i 1.30720 0.196893i
\(177\) −0.957662 14.7308i −0.0719823 1.10723i
\(178\) −2.27124 0.175604i −0.170236 0.0131620i
\(179\) −20.8171 4.14078i −1.55595 0.309497i −0.659174 0.751991i \(-0.729094\pi\)
−0.896772 + 0.442494i \(0.854094\pi\)
\(180\) −3.16360 + 0.129665i −0.235801 + 0.00966467i
\(181\) 3.57411 5.34903i 0.265661 0.397590i −0.674524 0.738253i \(-0.735651\pi\)
0.940186 + 0.340662i \(0.110651\pi\)
\(182\) 4.51201 16.0831i 0.334453 1.19216i
\(183\) −14.6174 + 21.8514i −1.08055 + 1.61531i
\(184\) 14.8697 4.47149i 1.09621 0.329643i
\(185\) −2.66269 + 3.47008i −0.195765 + 0.255126i
\(186\) −7.53910 5.17208i −0.552793 0.379236i
\(187\) −6.82980 + 20.1200i −0.499445 + 1.47132i
\(188\) 10.6005 + 8.53590i 0.773122 + 0.622544i
\(189\) −6.74748 + 11.6442i −0.490807 + 0.846989i
\(190\) −2.58217 + 0.138891i −0.187330 + 0.0100762i
\(191\) 1.66403 2.88218i 0.120405 0.208547i −0.799523 0.600636i \(-0.794914\pi\)
0.919927 + 0.392089i \(0.128247\pi\)
\(192\) −13.0970 4.52423i −0.945194 0.326508i
\(193\) 2.19757 + 3.80630i 0.158184 + 0.273984i 0.934214 0.356713i \(-0.116103\pi\)
−0.776030 + 0.630697i \(0.782769\pi\)
\(194\) 13.8947 + 21.3316i 0.997581 + 1.53152i
\(195\) 3.85193 1.59313i 0.275842 0.114086i
\(196\) −0.210808 0.544684i −0.0150577 0.0389060i
\(197\) −21.5897 + 4.29446i −1.53820 + 0.305968i −0.890165 0.455638i \(-0.849411\pi\)
−0.648040 + 0.761606i \(0.724411\pi\)
\(198\) 18.0276 4.58451i 1.28117 0.325807i
\(199\) −4.98642 12.0383i −0.353478 0.853371i −0.996186 0.0872598i \(-0.972189\pi\)
0.642708 0.766112i \(-0.277811\pi\)
\(200\) 13.3483 0.404728i 0.943871 0.0286186i
\(201\) −7.68594 15.6064i −0.542124 1.10079i
\(202\) 11.1454 + 11.4096i 0.784185 + 0.802774i
\(203\) −6.92055 0.453597i −0.485728 0.0318363i
\(204\) 12.1516 11.5829i 0.850782 0.810966i
\(205\) −3.47973 + 3.96787i −0.243035 + 0.277128i
\(206\) 6.54902 + 13.6818i 0.456292 + 0.953255i
\(207\) 15.2223 6.28640i 1.05803 0.436935i
\(208\) 18.2388 0.339249i 1.26463 0.0235227i
\(209\) 14.6742 3.93194i 1.01504 0.271978i
\(210\) −1.70930 + 2.87862i −0.117953 + 0.198643i
\(211\) 15.0345 5.10354i 1.03502 0.351342i 0.248320 0.968678i \(-0.420121\pi\)
0.786700 + 0.617336i \(0.211788\pi\)
\(212\) 8.84205 0.371798i 0.607275 0.0255352i
\(213\) −3.65839 + 13.6244i −0.250669 + 0.933528i
\(214\) −6.57843 11.7088i −0.449693 0.800396i
\(215\) 2.56012 + 1.06044i 0.174599 + 0.0723211i
\(216\) −14.2995 3.39461i −0.972960 0.230974i
\(217\) −8.93117 + 3.69941i −0.606287 + 0.251132i
\(218\) −5.64751 + 7.18415i −0.382497 + 0.486572i
\(219\) 17.7403 10.2298i 1.19878 0.691268i
\(220\) 4.49653 1.09263i 0.303156 0.0736650i
\(221\) −9.77499 + 19.8217i −0.657537 + 1.33335i
\(222\) −16.2573 + 12.1614i −1.09112 + 0.816217i
\(223\) 8.33952 + 4.81482i 0.558456 + 0.322424i 0.752525 0.658563i \(-0.228836\pi\)
−0.194070 + 0.980988i \(0.562169\pi\)
\(224\) −11.5618 + 8.99885i −0.772507 + 0.601261i
\(225\) 14.0453 1.83395i 0.936356 0.122264i
\(226\) 9.93588 + 8.92157i 0.660925 + 0.593454i
\(227\) 2.81024 0.184193i 0.186522 0.0122253i 0.0281441 0.999604i \(-0.491040\pi\)
0.158378 + 0.987379i \(0.449374\pi\)
\(228\) −11.7129 2.62300i −0.775709 0.173712i
\(229\) −16.3274 + 14.3188i −1.07895 + 0.946211i −0.998721 0.0505653i \(-0.983898\pi\)
−0.0802265 + 0.996777i \(0.525564\pi\)
\(230\) 3.80323 1.52341i 0.250777 0.100451i
\(231\) 6.33203 18.6211i 0.416617 1.22518i
\(232\) −1.70205 7.38020i −0.111745 0.484534i
\(233\) −13.0913 5.42261i −0.857642 0.355247i −0.0898574 0.995955i \(-0.528641\pi\)
−0.767785 + 0.640708i \(0.778641\pi\)
\(234\) 19.2137 2.28026i 1.25604 0.149065i
\(235\) 2.98587 + 1.99509i 0.194776 + 0.130145i
\(236\) 3.71611 16.6355i 0.241898 1.08288i
\(237\) −1.18330 + 2.85246i −0.0768635 + 0.185287i
\(238\) −3.25880 17.4488i −0.211237 1.13104i
\(239\) −1.34622 + 5.02415i −0.0870796 + 0.324985i −0.995700 0.0926378i \(-0.970470\pi\)
0.908620 + 0.417623i \(0.137137\pi\)
\(240\) −3.54802 0.882306i −0.229024 0.0569526i
\(241\) 3.31446 + 12.3697i 0.213503 + 0.796804i 0.986688 + 0.162624i \(0.0519956\pi\)
−0.773185 + 0.634180i \(0.781338\pi\)
\(242\) −10.4892 + 5.02085i −0.674273 + 0.322752i
\(243\) −15.4496 2.07567i −0.991095 0.133154i
\(244\) −23.2861 + 19.4756i −1.49074 + 1.24680i
\(245\) −0.0681594 0.138214i −0.00435454 0.00883014i
\(246\) −20.5336 + 13.3594i −1.30917 + 0.851765i
\(247\) 15.6668 2.06258i 0.996856 0.131239i
\(248\) −6.67760 8.17685i −0.424028 0.519230i
\(249\) −4.85473 24.4742i −0.307656 1.55099i
\(250\) 7.20365 0.862669i 0.455599 0.0545600i
\(251\) 2.60351 0.517871i 0.164332 0.0326877i −0.112238 0.993681i \(-0.535802\pi\)
0.276571 + 0.960994i \(0.410802\pi\)
\(252\) −11.2541 + 10.7160i −0.708940 + 0.675045i
\(253\) −20.0129 + 13.3722i −1.25820 + 0.840703i
\(254\) 7.13581 + 3.62351i 0.447741 + 0.227359i
\(255\) 2.92234 3.32873i 0.183004 0.208453i
\(256\) −13.0471 9.26139i −0.815443 0.578837i
\(257\) 5.88862 + 10.1994i 0.367322 + 0.636220i 0.989146 0.146937i \(-0.0469414\pi\)
−0.621824 + 0.783157i \(0.713608\pi\)
\(258\) 10.1079 + 7.95453i 0.629288 + 0.495227i
\(259\) 1.40402 + 21.4211i 0.0872413 + 1.33104i
\(260\) 4.78546 0.516301i 0.296782 0.0320197i
\(261\) −2.57417 7.60976i −0.159337 0.471033i
\(262\) −4.22131 5.63681i −0.260793 0.348243i
\(263\) −5.47022 0.720168i −0.337308 0.0444075i −0.0400303 0.999198i \(-0.512745\pi\)
−0.297278 + 0.954791i \(0.596079\pi\)
\(264\) 21.4654 + 0.765973i 1.32110 + 0.0471424i
\(265\) 2.31510 0.304789i 0.142216 0.0187231i
\(266\) −9.07872 + 8.86849i −0.556652 + 0.543762i
\(267\) −2.69454 0.723531i −0.164903 0.0442794i
\(268\) −3.45633 19.7880i −0.211129 1.20874i
\(269\) 19.9402 + 3.96636i 1.21578 + 0.241833i 0.760988 0.648766i \(-0.224715\pi\)
0.454789 + 0.890599i \(0.349715\pi\)
\(270\) −3.83761 0.557264i −0.233550 0.0339140i
\(271\) 9.21993 9.21993i 0.560071 0.560071i −0.369257 0.929327i \(-0.620388\pi\)
0.929327 + 0.369257i \(0.120388\pi\)
\(272\) 17.2232 8.89548i 1.04431 0.539368i
\(273\) 9.05816 18.3436i 0.548225 1.11021i
\(274\) −2.15839 11.5568i −0.130393 0.698172i
\(275\) −19.6024 + 6.65412i −1.18207 + 0.401259i
\(276\) 18.9085 2.02989i 1.13816 0.122185i
\(277\) 22.8274 11.2572i 1.37157 0.676381i 0.400745 0.916189i \(-0.368751\pi\)
0.970820 + 0.239808i \(0.0770845\pi\)
\(278\) −3.64777 2.16340i −0.218779 0.129752i
\(279\) −7.90938 7.92618i −0.473522 0.474528i
\(280\) −2.82786 + 2.63579i −0.168997 + 0.157519i
\(281\) −3.28810 + 24.9756i −0.196151 + 1.48992i 0.556140 + 0.831088i \(0.312282\pi\)
−0.752292 + 0.658830i \(0.771052\pi\)
\(282\) 10.8362 + 12.6659i 0.645289 + 0.754242i
\(283\) −14.3951 + 12.6242i −0.855701 + 0.750430i −0.970023 0.243014i \(-0.921864\pi\)
0.114322 + 0.993444i \(0.463531\pi\)
\(284\) −8.47289 + 13.9124i −0.502774 + 0.825547i
\(285\) −3.13975 0.415050i −0.185983 0.0245854i
\(286\) −26.8811 + 8.77515i −1.58951 + 0.518886i
\(287\) 25.9020i 1.52894i
\(288\) −14.7461 8.39953i −0.868923 0.494947i
\(289\) 6.48544i 0.381497i
\(290\) −0.620162 1.89976i −0.0364172 0.111558i
\(291\) 11.9165 + 28.8122i 0.698559 + 1.68900i
\(292\) 22.9779 5.58348i 1.34468 0.326748i
\(293\) −5.37491 + 4.71367i −0.314005 + 0.275375i −0.801812 0.597576i \(-0.796130\pi\)
0.487807 + 0.872952i \(0.337797\pi\)
\(294\) −0.130952 0.703231i −0.00763728 0.0410132i
\(295\) 0.587048 4.45908i 0.0341793 0.259617i
\(296\) −21.9608 + 8.20499i −1.27645 + 0.476906i
\(297\) 22.7355 1.45385i 1.31925 0.0843609i
\(298\) −2.40939 + 4.06254i −0.139572 + 0.235337i
\(299\) −22.4541 + 11.0732i −1.29856 + 0.640377i
\(300\) 16.1601 + 2.52268i 0.933005 + 0.145647i
\(301\) 12.8784 4.37163i 0.742300 0.251977i
\(302\) 14.6206 2.73060i 0.841323 0.157129i
\(303\) 10.8442 + 16.2481i 0.622981 + 0.933427i
\(304\) −12.1299 6.70554i −0.695695 0.384589i
\(305\) −5.66380 + 5.66380i −0.324308 + 0.324308i
\(306\) 17.2400 11.2036i 0.985546 0.640465i
\(307\) −5.50754 1.09552i −0.314332 0.0625245i 0.0354033 0.999373i \(-0.488728\pi\)
−0.349735 + 0.936849i \(0.613728\pi\)
\(308\) 13.0564 18.5827i 0.743957 1.05885i
\(309\) 4.79868 + 17.9470i 0.272987 + 1.02097i
\(310\) −1.94646 1.99260i −0.110552 0.113172i
\(311\) −4.74153 + 0.624234i −0.268867 + 0.0353971i −0.263754 0.964590i \(-0.584961\pi\)
−0.00511294 + 0.999987i \(0.501628\pi\)
\(312\) 22.0325 + 3.70425i 1.24735 + 0.209712i
\(313\) 5.09068 + 0.670201i 0.287742 + 0.0378820i 0.273016 0.962010i \(-0.411979\pi\)
0.0147265 + 0.999892i \(0.495312\pi\)
\(314\) −1.80628 + 1.35269i −0.101934 + 0.0763369i
\(315\) −2.70676 + 3.07988i −0.152509 + 0.173531i
\(316\) −2.23645 + 2.77739i −0.125810 + 0.156241i
\(317\) −1.44500 22.0464i −0.0811591 1.23825i −0.823144 0.567832i \(-0.807782\pi\)
0.741985 0.670416i \(-0.233885\pi\)
\(318\) 10.7280 + 1.54621i 0.601595 + 0.0867070i
\(319\) 5.87024 + 10.1675i 0.328670 + 0.569273i
\(320\) −3.64585 2.12847i −0.203809 0.118985i
\(321\) −5.27898 15.5785i −0.294644 0.869507i
\(322\) 9.10408 17.9288i 0.507351 0.999131i
\(323\) 13.9620 9.32909i 0.776865 0.519085i
\(324\) −16.4485 7.31085i −0.913803 0.406158i
\(325\) −21.1187 + 4.20077i −1.17145 + 0.233017i
\(326\) 0.604555 + 5.04829i 0.0334832 + 0.279599i
\(327\) −8.41846 + 7.37490i −0.465542 + 0.407833i
\(328\) −27.0884 + 8.14583i −1.49571 + 0.449778i
\(329\) 17.4740 2.30050i 0.963374 0.126831i
\(330\) 5.65934 0.301399i 0.311536 0.0165915i
\(331\) −4.06859 8.25029i −0.223630 0.453477i 0.755924 0.654660i \(-0.227188\pi\)
−0.979554 + 0.201183i \(0.935521\pi\)
\(332\) 2.55723 28.6973i 0.140346 1.57497i
\(333\) −22.3129 + 10.9741i −1.22274 + 0.601378i
\(334\) −4.81606 10.0614i −0.263523 0.550535i
\(335\) −1.37179 5.11961i −0.0749492 0.279714i
\(336\) −15.9474 + 8.22584i −0.870000 + 0.448756i
\(337\) −7.50638 + 28.0142i −0.408898 + 1.52603i 0.387852 + 0.921722i \(0.373217\pi\)
−0.796751 + 0.604308i \(0.793450\pi\)
\(338\) −10.8407 + 2.02464i −0.589654 + 0.110126i
\(339\) 9.94919 + 12.9803i 0.540366 + 0.704992i
\(340\) 4.31816 2.74121i 0.234185 0.148663i
\(341\) 13.6067 + 9.09172i 0.736845 + 0.492344i
\(342\) −13.5087 5.79873i −0.730466 0.313559i
\(343\) −17.4485 7.22743i −0.942133 0.390244i
\(344\) 8.62197 + 12.0935i 0.464866 + 0.652038i
\(345\) 4.92187 0.976308i 0.264985 0.0525627i
\(346\) 7.58649 + 18.9399i 0.407852 + 1.01821i
\(347\) 10.3762 9.09969i 0.557024 0.488497i −0.333925 0.942600i \(-0.608373\pi\)
0.890949 + 0.454102i \(0.150040\pi\)
\(348\) −0.384791 9.26814i −0.0206270 0.496824i
\(349\) −11.5172 + 0.754880i −0.616504 + 0.0404078i −0.370456 0.928850i \(-0.620799\pi\)
−0.246048 + 0.969258i \(0.579132\pi\)
\(350\) 11.5542 12.8678i 0.617596 0.687812i
\(351\) 23.6438 + 1.58747i 1.26201 + 0.0847328i
\(352\) 23.5400 + 7.81041i 1.25469 + 0.416296i
\(353\) 20.1049 + 11.6076i 1.07008 + 0.617810i 0.928203 0.372075i \(-0.121354\pi\)
0.141875 + 0.989885i \(0.454687\pi\)
\(354\) 8.22460 19.1881i 0.437133 1.01983i
\(355\) −1.90097 + 3.85479i −0.100893 + 0.204591i
\(356\) −2.75149 1.67571i −0.145829 0.0888125i
\(357\) 0.0115270 21.7398i 0.000610075 1.15059i
\(358\) −23.5981 18.5506i −1.24720 0.980431i
\(359\) 18.3826 7.61430i 0.970194 0.401868i 0.159410 0.987212i \(-0.449041\pi\)
0.810784 + 0.585345i \(0.199041\pi\)
\(360\) −4.07219 1.86217i −0.214623 0.0981447i
\(361\) 6.46151 + 2.67645i 0.340080 + 0.140866i
\(362\) 7.93180 4.45638i 0.416886 0.234222i
\(363\) −13.7592 + 3.67894i −0.722169 + 0.193094i
\(364\) 15.9875 17.3911i 0.837975 0.911540i
\(365\) 5.90814 2.00554i 0.309246 0.104975i
\(366\) −32.4235 + 18.1941i −1.69480 + 0.951022i
\(367\) −25.1106 + 6.72837i −1.31076 + 0.351218i −0.845510 0.533960i \(-0.820703\pi\)
−0.465253 + 0.885178i \(0.654037\pi\)
\(368\) 21.6131 + 3.88274i 1.12666 + 0.202402i
\(369\) −27.7309 + 11.4521i −1.44361 + 0.596171i
\(370\) −5.57944 + 2.67069i −0.290061 + 0.138843i
\(371\) 7.55641 8.61643i 0.392309 0.447343i
\(372\) −6.19477 11.3491i −0.321184 0.588423i
\(373\) −32.6723 2.14146i −1.69171 0.110880i −0.811156 0.584830i \(-0.801161\pi\)
−0.880552 + 0.473950i \(0.842828\pi\)
\(374\) −21.4950 + 20.9972i −1.11148 + 1.08574i
\(375\) 8.86634 + 0.585852i 0.457856 + 0.0302533i
\(376\) 7.90122 + 17.5509i 0.407474 + 0.905121i
\(377\) 4.67333 + 11.2824i 0.240689 + 0.581075i
\(378\) −15.9641 + 10.3624i −0.821104 + 0.532982i
\(379\) 12.9553 2.57697i 0.665469 0.132370i 0.149214 0.988805i \(-0.452326\pi\)
0.516255 + 0.856435i \(0.327326\pi\)
\(380\) −3.34493 1.47823i −0.171591 0.0758318i
\(381\) 7.77309 + 5.97105i 0.398228 + 0.305906i
\(382\) 3.94374 2.56882i 0.201779 0.131432i
\(383\) 13.3294 + 23.0872i 0.681100 + 1.17970i 0.974646 + 0.223755i \(0.0718314\pi\)
−0.293546 + 0.955945i \(0.594835\pi\)
\(384\) −13.6179 14.0909i −0.694934 0.719074i
\(385\) 2.99620 5.18957i 0.152700 0.264485i
\(386\) 0.333850 + 6.20669i 0.0169925 + 0.315912i
\(387\) 10.3743 + 11.8549i 0.527354 + 0.602620i
\(388\) 3.86191 + 35.7950i 0.196059 + 1.81722i
\(389\) 8.90101 26.2215i 0.451299 1.32948i −0.448735 0.893665i \(-0.648125\pi\)
0.900034 0.435819i \(-0.143541\pi\)
\(390\) 5.87720 + 0.457538i 0.297603 + 0.0231683i
\(391\) −16.1957 + 21.1067i −0.819054 + 1.06741i
\(392\) 0.0829440 0.821804i 0.00418931 0.0415074i
\(393\) −3.81061 7.73749i −0.192220 0.390305i
\(394\) −29.9735 8.40885i −1.51004 0.423632i
\(395\) −0.522725 + 0.782313i −0.0263011 + 0.0393624i
\(396\) 25.6675 + 5.76228i 1.28984 + 0.289566i
\(397\) −32.5554 6.47567i −1.63391 0.325005i −0.709005 0.705204i \(-0.750855\pi\)
−0.924905 + 0.380199i \(0.875855\pi\)
\(398\) 1.42050 18.3726i 0.0712032 0.920934i
\(399\) −12.9288 + 8.62882i −0.647249 + 0.431981i
\(400\) 17.0908 + 8.03665i 0.854542 + 0.401833i
\(401\) −0.995534 + 3.71538i −0.0497146 + 0.185537i −0.986318 0.164854i \(-0.947285\pi\)
0.936603 + 0.350391i \(0.113951\pi\)
\(402\) 0.301200 24.6003i 0.0150225 1.22695i
\(403\) 12.7978 + 11.2233i 0.637502 + 0.559074i
\(404\) 6.74823 + 21.5234i 0.335737 + 1.07083i
\(405\) −4.49409 1.53618i −0.223313 0.0763332i
\(406\) −8.43607 5.00322i −0.418675 0.248306i
\(407\) 28.8306 22.1225i 1.42908 1.09657i
\(408\) 22.7392 6.82483i 1.12576 0.337879i
\(409\) −21.1270 16.2113i −1.04466 0.801599i −0.0641292 0.997942i \(-0.520427\pi\)
−0.980535 + 0.196342i \(0.937094\pi\)
\(410\) −6.92843 + 2.77523i −0.342171 + 0.137059i
\(411\) 0.00763467 14.3989i 0.000376591 0.710244i
\(412\) −0.502470 + 21.4455i −0.0247549 + 1.05654i
\(413\) −12.2635 18.3537i −0.603449 0.903125i
\(414\) 23.2199 + 1.82005i 1.14120 + 0.0894506i
\(415\) 7.60193i 0.373164i
\(416\) 23.2155 + 11.2506i 1.13824 + 0.551606i
\(417\) −3.90339 3.42685i −0.191150 0.167813i
\(418\) 21.0212 + 4.43794i 1.02818 + 0.217067i
\(419\) 3.18270 6.45387i 0.155485 0.315292i −0.805167 0.593049i \(-0.797924\pi\)
0.960652 + 0.277756i \(0.0895908\pi\)
\(420\) −3.99854 + 2.53534i −0.195109 + 0.123712i
\(421\) 3.44161 + 1.16827i 0.167734 + 0.0569380i 0.404043 0.914740i \(-0.367605\pi\)
−0.236309 + 0.971678i \(0.575938\pi\)
\(422\) 22.2257 + 3.19133i 1.08193 + 0.155352i
\(423\) 10.1888 + 17.6907i 0.495394 + 0.860153i
\(424\) 11.3875 + 5.19278i 0.553026 + 0.252184i
\(425\) −18.1530 + 13.9293i −0.880549 + 0.675669i
\(426\) −13.3368 + 14.8373i −0.646171 + 0.718869i
\(427\) −2.57111 + 39.2276i −0.124425 + 1.89836i
\(428\) −0.797938 18.9765i −0.0385698 0.917262i
\(429\) −34.3384 + 4.50222i −1.65787 + 0.217369i
\(430\) 2.54920 + 2.97641i 0.122933 + 0.143535i
\(431\) 1.58167 + 1.58167i 0.0761862 + 0.0761862i 0.744173 0.667987i \(-0.232844\pi\)
−0.667987 + 0.744173i \(0.732844\pi\)
\(432\) −15.8575 13.4365i −0.762944 0.646464i
\(433\) 19.7000 19.7000i 0.946721 0.946721i −0.0519301 0.998651i \(-0.516537\pi\)
0.998651 + 0.0519301i \(0.0165373\pi\)
\(434\) −13.6306 1.05386i −0.654288 0.0505871i
\(435\) −0.318183 2.42678i −0.0152557 0.116355i
\(436\) −11.7213 + 5.44279i −0.561348 + 0.260662i
\(437\) 18.9812 + 1.24410i 0.907996 + 0.0595132i
\(438\) 28.9200 1.54019i 1.38185 0.0735931i
\(439\) −13.1731 17.1675i −0.628718 0.819362i 0.365031 0.930995i \(-0.381058\pi\)
−0.993749 + 0.111634i \(0.964392\pi\)
\(440\) 6.36954 + 1.50139i 0.303656 + 0.0715759i
\(441\) 0.000929046 0.876083i 4.42403e−5 0.0417182i
\(442\) −25.0178 + 18.7354i −1.18997 + 0.891151i
\(443\) 4.66060 13.7297i 0.221432 0.652317i −0.778271 0.627929i \(-0.783903\pi\)
0.999703 0.0243882i \(-0.00776377\pi\)
\(444\) −28.2867 + 4.92534i −1.34243 + 0.233746i
\(445\) −0.762374 0.375961i −0.0361400 0.0178223i
\(446\) 7.43282 + 11.4111i 0.351954 + 0.540332i
\(447\) −3.81650 + 4.34724i −0.180514 + 0.205617i
\(448\) −20.3410 + 3.94408i −0.961020 + 0.186340i
\(449\) 2.70742 0.127771 0.0638854 0.997957i \(-0.479651\pi\)
0.0638854 + 0.997957i \(0.479651\pi\)
\(450\) 18.8848 + 6.68075i 0.890240 + 0.314933i
\(451\) 36.4580 24.3605i 1.71674 1.14709i
\(452\) 6.81621 + 17.6117i 0.320607 + 0.828384i
\(453\) 18.2162 + 0.00965870i 0.855870 + 0.000453806i
\(454\) 3.66152 + 1.56715i 0.171844 + 0.0735498i
\(455\) 3.79446 4.94503i 0.177887 0.231827i
\(456\) −13.0900 10.8073i −0.612995 0.506100i
\(457\) −18.0349 23.5035i −0.843637 1.09945i −0.993843 0.110794i \(-0.964661\pi\)
0.150207 0.988655i \(-0.452006\pi\)
\(458\) −29.7565 + 7.60084i −1.39043 + 0.355164i
\(459\) 23.2800 9.59952i 1.08662 0.448067i
\(460\) 5.77115 + 0.514269i 0.269081 + 0.0239779i
\(461\) −20.2692 + 23.1126i −0.944031 + 1.07646i 0.0529327 + 0.998598i \(0.483143\pi\)
−0.996964 + 0.0778634i \(0.975190\pi\)
\(462\) 19.9076 19.4260i 0.926184 0.903779i
\(463\) −7.31561 1.96021i −0.339985 0.0910987i 0.0847869 0.996399i \(-0.472979\pi\)
−0.424772 + 0.905300i \(0.639646\pi\)
\(464\) 2.57936 10.3959i 0.119744 0.482619i
\(465\) −1.89386 2.83762i −0.0878256 0.131591i
\(466\) −13.0355 15.2201i −0.603858 0.705058i
\(467\) −5.80842 + 29.2009i −0.268782 + 1.35126i 0.576570 + 0.817048i \(0.304391\pi\)
−0.845352 + 0.534210i \(0.820609\pi\)
\(468\) 25.6877 + 9.42728i 1.18741 + 0.435776i
\(469\) −21.6292 14.4521i −0.998742 0.667338i
\(470\) 2.48758 + 4.42758i 0.114744 + 0.204229i
\(471\) −2.47943 + 1.22109i −0.114246 + 0.0562648i
\(472\) 15.3376 18.5973i 0.705972 0.856008i
\(473\) −18.2652 14.0154i −0.839837 0.644429i
\(474\) −3.31853 + 2.83915i −0.152425 + 0.130407i
\(475\) 15.4918 + 5.25875i 0.710811 + 0.241288i
\(476\) 7.06331 24.0888i 0.323746 1.10411i
\(477\) 12.5658 + 4.28037i 0.575347 + 0.195985i
\(478\) −4.91451 + 5.47325i −0.224784 + 0.250341i
\(479\) 20.4738 + 11.8206i 0.935472 + 0.540095i 0.888538 0.458803i \(-0.151722\pi\)
0.0469343 + 0.998898i \(0.485055\pi\)
\(480\) −3.90896 3.38436i −0.178419 0.154474i
\(481\) 32.7356 18.8999i 1.49261 0.861760i
\(482\) −3.74099 + 17.7199i −0.170398 + 0.807121i
\(483\) 15.0023 19.5299i 0.682628 0.888642i
\(484\) −16.4413 0.385222i −0.747333 0.0175101i
\(485\) 1.85326 + 9.31698i 0.0841523 + 0.423062i
\(486\) −18.1523 12.5098i −0.823404 0.567456i
\(487\) 35.6110 14.7506i 1.61369 0.668411i 0.620422 0.784268i \(-0.286961\pi\)
0.993266 + 0.115857i \(0.0369614\pi\)
\(488\) −41.8330 + 9.64769i −1.89369 + 0.436730i
\(489\) −0.410563 + 6.21350i −0.0185663 + 0.280984i
\(490\) 0.00255264 0.217924i 0.000115316 0.00984480i
\(491\) −2.03611 + 31.0651i −0.0918884 + 1.40195i 0.664238 + 0.747521i \(0.268756\pi\)
−0.756126 + 0.654426i \(0.772911\pi\)
\(492\) −34.4460 + 3.69789i −1.55295 + 0.166714i
\(493\) 9.75665 + 8.55635i 0.439417 + 0.385359i
\(494\) 21.0759 + 7.43071i 0.948248 + 0.334323i
\(495\) 6.88072 + 0.913288i 0.309265 + 0.0410493i
\(496\) −3.18450 14.5863i −0.142988 0.654946i
\(497\) 5.45967 + 20.3758i 0.244900 + 0.913978i
\(498\) 9.54932 33.9694i 0.427915 1.52221i
\(499\) −10.8517 31.9680i −0.485788 1.43108i −0.863116 0.505005i \(-0.831491\pi\)
0.377329 0.926079i \(-0.376843\pi\)
\(500\) 9.63586 + 3.52474i 0.430929 + 0.157631i
\(501\) −3.52888 13.1980i −0.157659 0.589641i
\(502\) 3.61451 + 1.01403i 0.161323 + 0.0452582i
\(503\) 4.99547 12.0601i 0.222737 0.537735i −0.772523 0.634987i \(-0.781005\pi\)
0.995260 + 0.0972525i \(0.0310054\pi\)
\(504\) −21.0524 + 6.30639i −0.937748 + 0.280909i
\(505\) 2.27759 + 5.49860i 0.101352 + 0.244684i
\(506\) −33.7977 + 4.04742i −1.50249 + 0.179930i
\(507\) −13.5066 0.00716157i −0.599850 0.000318057i
\(508\) 6.67780 + 9.13817i 0.296280 + 0.405441i
\(509\) 11.2427 + 5.54429i 0.498324 + 0.245746i 0.674040 0.738695i \(-0.264557\pi\)
−0.175716 + 0.984441i \(0.556224\pi\)
\(510\) 5.81634 2.32620i 0.257552 0.103006i
\(511\) 15.3110 26.5194i 0.677318 1.17315i
\(512\) −10.5217 20.0323i −0.464998 0.885312i
\(513\) −14.9543 10.0266i −0.660250 0.442686i
\(514\) 0.894587 + 16.6315i 0.0394585 + 0.733584i
\(515\) 0.370185 + 5.64794i 0.0163123 + 0.248878i
\(516\) 7.65226 + 16.5024i 0.336872 + 0.726478i
\(517\) −19.6721 22.4318i −0.865179 0.986548i
\(518\) −11.9456 + 27.9101i −0.524861 + 1.22630i
\(519\) 4.86196 + 24.5106i 0.213416 + 1.07590i
\(520\) 6.36485 + 2.41311i 0.279117 + 0.105822i
\(521\) 16.9276 40.8669i 0.741613 1.79041i 0.142423 0.989806i \(-0.454511\pi\)
0.599190 0.800607i \(-0.295489\pi\)
\(522\) 1.62664 11.2438i 0.0711962 0.492129i
\(523\) 0.0699958 0.104756i 0.00306070 0.00458066i −0.829936 0.557858i \(-0.811623\pi\)
0.832997 + 0.553278i \(0.186623\pi\)
\(524\) −1.71361 9.81068i −0.0748596 0.428582i
\(525\) 16.8105 12.8850i 0.733672 0.562348i
\(526\) −6.43658 4.41070i −0.280648 0.192316i
\(527\) 17.4719 + 4.68159i 0.761089 + 0.203933i
\(528\) 26.5765 + 14.7102i 1.15659 + 0.640181i
\(529\) −6.89441 + 1.84735i −0.299757 + 0.0803196i
\(530\) 3.11440 + 1.09804i 0.135281 + 0.0476960i
\(531\) 14.2275 21.2442i 0.617422 0.921920i
\(532\) −17.1264 + 5.36965i −0.742523 + 0.232804i
\(533\) 40.9052 20.1722i 1.77180 0.873756i
\(534\) −2.93442 2.63766i −0.126985 0.114143i
\(535\) −0.654127 4.96859i −0.0282804 0.214811i
\(536\) 8.31204 27.1649i 0.359025 1.17334i
\(537\) −24.2247 27.6525i −1.04537 1.19329i
\(538\) 22.6041 + 17.7692i 0.974531 + 0.766084i
\(539\) 0.249787 + 1.25576i 0.0107591 + 0.0540896i
\(540\) −4.48224 3.15992i −0.192885 0.135981i
\(541\) −1.15249 1.72482i −0.0495493 0.0741557i 0.805868 0.592095i \(-0.201699\pi\)
−0.855417 + 0.517940i \(0.826699\pi\)
\(542\) 17.5295 5.72237i 0.752956 0.245797i
\(543\) 10.5532 3.57610i 0.452882 0.153465i
\(544\) 27.4135 0.188754i 1.17534 0.00809277i
\(545\) −2.95305 + 1.70494i −0.126495 + 0.0730318i
\(546\) 23.1674 17.3305i 0.991474 0.741678i
\(547\) 2.29374 0.150339i 0.0980731 0.00642805i −0.0162876 0.999867i \(-0.505185\pi\)
0.114361 + 0.993439i \(0.463518\pi\)
\(548\) 4.67823 15.9547i 0.199844 0.681549i
\(549\) −43.1343 + 14.5911i −1.84093 + 0.622734i
\(550\) −28.9785 4.16094i −1.23565 0.177423i
\(551\) 1.21109 9.19911i 0.0515940 0.391895i
\(552\) 25.1425 + 9.54758i 1.07014 + 0.406372i
\(553\) 0.602743 + 4.57829i 0.0256312 + 0.194689i
\(554\) 35.9924 + 0.421595i 1.52917 + 0.0179118i
\(555\) −7.31879 + 1.95690i −0.310665 + 0.0830660i
\(556\) −3.21445 5.06363i −0.136323 0.214746i
\(557\) 1.38280 6.95179i 0.0585910 0.294557i −0.940369 0.340157i \(-0.889520\pi\)
0.998960 + 0.0455997i \(0.0145199\pi\)
\(558\) −4.89823 15.0590i −0.207359 0.637497i
\(559\) −16.9334 16.9334i −0.716208 0.716208i
\(560\) −5.25351 + 1.51293i −0.222001 + 0.0639331i
\(561\) −30.6105 + 20.4298i −1.29237 + 0.862546i
\(562\) −20.1381 + 29.3877i −0.849475 + 1.23965i
\(563\) 3.42251 + 10.0824i 0.144242 + 0.424923i 0.994908 0.100783i \(-0.0321347\pi\)
−0.850667 + 0.525705i \(0.823801\pi\)
\(564\) 5.55402 + 22.9096i 0.233867 + 0.964669i
\(565\) 2.20385 + 4.46896i 0.0927166 + 0.188011i
\(566\) −26.2349 + 6.70129i −1.10274 + 0.281676i
\(567\) −21.5543 + 8.87457i −0.905195 + 0.372697i
\(568\) −19.5921 + 12.1177i −0.822066 + 0.508446i
\(569\) −31.1417 4.09988i −1.30553 0.171876i −0.554520 0.832171i \(-0.687098\pi\)
−0.751006 + 0.660295i \(0.770431\pi\)
\(570\) −3.69333 2.53375i −0.154697 0.106127i
\(571\) −23.0248 26.2547i −0.963557 1.09873i −0.995065 0.0992221i \(-0.968365\pi\)
0.0315088 0.999503i \(-0.489969\pi\)
\(572\) −39.5147 6.14700i −1.65219 0.257019i
\(573\) 5.32675 2.20310i 0.222528 0.0920359i
\(574\) −16.5851 + 32.6612i −0.692249 + 1.36325i
\(575\) −25.9201 −1.08094
\(576\) −13.2160 20.0334i −0.550665 0.834726i
\(577\) 16.5418 0.688645 0.344323 0.938851i \(-0.388109\pi\)
0.344323 + 0.938851i \(0.388109\pi\)
\(578\) −4.15265 + 8.17786i −0.172728 + 0.340154i
\(579\) −0.997646 + 7.54695i −0.0414607 + 0.313640i
\(580\) 0.434424 2.79260i 0.0180385 0.115956i
\(581\) −24.6001 28.0511i −1.02058 1.16375i
\(582\) −3.42236 + 43.9612i −0.141861 + 1.82225i
\(583\) −19.2347 2.53229i −0.796619 0.104877i
\(584\) 32.5492 + 7.67230i 1.34690 + 0.317482i
\(585\) 6.97185 + 1.87603i 0.288251 + 0.0775642i
\(586\) −9.79570 + 2.50216i −0.404657 + 0.103363i
\(587\) 2.29091 + 4.64550i 0.0945560 + 0.191741i 0.939012 0.343884i \(-0.111743\pi\)
−0.844456 + 0.535625i \(0.820076\pi\)
\(588\) 0.285156 0.970592i 0.0117596 0.0400265i
\(589\) −4.15717 12.2466i −0.171293 0.504614i
\(590\) 3.59541 5.24681i 0.148020 0.216008i
\(591\) −34.1862 16.8813i −1.40623 0.694405i
\(592\) −32.9453 3.71544i −1.35404 0.152704i
\(593\) −12.6362 12.6362i −0.518907 0.518907i 0.398334 0.917241i \(-0.369589\pi\)
−0.917241 + 0.398334i \(0.869589\pi\)
\(594\) 29.5994 + 12.7244i 1.21448 + 0.522089i
\(595\) 1.29219 6.49627i 0.0529746 0.266321i
\(596\) −5.63940 + 3.57995i −0.230999 + 0.146640i
\(597\) 5.85281 21.7968i 0.239540 0.892082i
\(598\) −35.4039 0.414701i −1.44777 0.0169584i
\(599\) 0.220169 + 1.67235i 0.00899586 + 0.0683303i 0.995354 0.0962835i \(-0.0306955\pi\)
−0.986358 + 0.164614i \(0.947362\pi\)
\(600\) 18.7619 + 13.5284i 0.765952 + 0.552294i
\(601\) 1.12147 8.51839i 0.0457456 0.347472i −0.953231 0.302243i \(-0.902265\pi\)
0.998977 0.0452297i \(-0.0144020\pi\)
\(602\) 19.0383 + 2.73366i 0.775943 + 0.111416i
\(603\) 5.90967 29.5461i 0.240660 1.20321i
\(604\) 20.1844 + 5.91847i 0.821292 + 0.240819i
\(605\) −4.33003 + 0.283805i −0.176041 + 0.0115383i
\(606\) 3.27031 + 27.4317i 0.132847 + 1.11434i
\(607\) 21.4356 12.3758i 0.870042 0.502319i 0.00268011 0.999996i \(-0.499147\pi\)
0.867362 + 0.497677i \(0.165814\pi\)
\(608\) −11.0016 16.2222i −0.446175 0.657897i
\(609\) −9.02725 7.92516i −0.365803 0.321144i
\(610\) −10.7683 + 3.51525i −0.435998 + 0.142328i
\(611\) −17.2416 25.8040i −0.697522 1.04392i
\(612\) 28.9126 3.08835i 1.16872 0.124839i
\(613\) 0.954749 + 4.79985i 0.0385619 + 0.193864i 0.995265 0.0972032i \(-0.0309897\pi\)
−0.956703 + 0.291067i \(0.905990\pi\)
\(614\) −6.24330 4.90790i −0.251959 0.198067i
\(615\) −8.96629 + 1.77856i −0.361556 + 0.0717186i
\(616\) 28.3621 15.0720i 1.14274 0.607267i
\(617\) −0.849283 6.45094i −0.0341908 0.259705i −1.00000 0.000450794i \(-0.999857\pi\)
0.965809 0.259254i \(-0.0834768\pi\)
\(618\) −5.44059 + 25.7030i −0.218853 + 1.03393i
\(619\) −22.6842 + 11.1866i −0.911754 + 0.449627i −0.836768 0.547557i \(-0.815558\pi\)
−0.0749855 + 0.997185i \(0.523891\pi\)
\(620\) −1.17853 3.75891i −0.0473310 0.150962i
\(621\) 27.5419 + 7.42681i 1.10522 + 0.298028i
\(622\) −6.37856 2.24889i −0.255757 0.0901721i
\(623\) −4.02978 + 1.07978i −0.161450 + 0.0432603i
\(624\) 25.4102 + 18.7784i 1.01722 + 0.751737i
\(625\) −20.1882 5.40942i −0.807529 0.216377i
\(626\) 5.98999 + 4.10467i 0.239408 + 0.164056i
\(627\) 24.3048 + 10.0825i 0.970639 + 0.402655i
\(628\) −3.14378 + 0.549118i −0.125450 + 0.0219122i
\(629\) 22.3160 33.3982i 0.889797 1.33167i
\(630\) −5.38517 + 2.15044i −0.214550 + 0.0856756i
\(631\) 2.57059 6.20596i 0.102334 0.247055i −0.864417 0.502775i \(-0.832312\pi\)
0.966751 + 0.255720i \(0.0823124\pi\)
\(632\) −4.59844 + 2.07016i −0.182916 + 0.0823467i
\(633\) 26.0359 + 8.85339i 1.03483 + 0.351891i
\(634\) 12.2943 28.7248i 0.488269 1.14081i
\(635\) 1.96903 + 2.24525i 0.0781385 + 0.0890999i
\(636\) 12.5375 + 8.81886i 0.497143 + 0.349691i
\(637\) 0.0871032 + 1.32894i 0.00345115 + 0.0526544i
\(638\) 0.891794 + 16.5796i 0.0353065 + 0.656391i
\(639\) −19.4006 + 14.8540i −0.767476 + 0.587613i
\(640\) −3.23439 5.01835i −0.127851 0.198368i
\(641\) 4.38526 7.59550i 0.173207 0.300004i −0.766332 0.642445i \(-0.777920\pi\)
0.939539 + 0.342441i \(0.111254\pi\)
\(642\) 3.31841 23.0240i 0.130967 0.908683i
\(643\) 10.3705 + 5.11416i 0.408972 + 0.201683i 0.635125 0.772409i \(-0.280948\pi\)
−0.226153 + 0.974092i \(0.572615\pi\)
\(644\) 22.9597 16.7780i 0.904739 0.661146i
\(645\) 2.39760 + 4.15785i 0.0944052 + 0.163715i
\(646\) 23.5789 2.82368i 0.927699 0.111096i
\(647\) 5.33261 + 12.8741i 0.209647 + 0.506132i 0.993368 0.114981i \(-0.0366808\pi\)
−0.783721 + 0.621113i \(0.786681\pi\)
\(648\) −16.0596 19.7507i −0.630881 0.775879i
\(649\) −14.2998 + 34.5228i −0.561317 + 1.35514i
\(650\) −29.3195 8.22539i −1.15001 0.322627i
\(651\) −16.1710 4.34219i −0.633790 0.170184i
\(652\) −2.47012 + 6.75278i −0.0967375 + 0.264459i
\(653\) −2.94088 8.66357i −0.115086 0.339032i 0.874091 0.485763i \(-0.161458\pi\)
−0.989176 + 0.146731i \(0.953125\pi\)
\(654\) −15.3375 + 3.90905i −0.599743 + 0.152856i
\(655\) −0.680122 2.53825i −0.0265746 0.0991776i
\(656\) −39.3731 7.07327i −1.53726 0.276165i
\(657\) 35.1614 + 4.66702i 1.37178 + 0.182078i
\(658\) 23.5070 + 8.28785i 0.916398 + 0.323094i
\(659\) −32.7185 28.6934i −1.27453 1.11773i −0.987129 0.159924i \(-0.948875\pi\)
−0.287402 0.957810i \(-0.592792\pi\)
\(660\) 7.32917 + 3.24364i 0.285287 + 0.126259i
\(661\) −0.271405 + 4.14085i −0.0105564 + 0.161060i 0.989326 + 0.145720i \(0.0465498\pi\)
−0.999882 + 0.0153403i \(0.995117\pi\)
\(662\) 0.152373 13.0084i 0.00592215 0.505586i
\(663\) −34.3412 + 16.9126i −1.33370 + 0.656830i
\(664\) 21.5995 34.5486i 0.838224 1.34075i
\(665\) −4.37530 + 1.81231i −0.169667 + 0.0702783i
\(666\) −35.1624 0.449166i −1.36252 0.0174048i
\(667\) 2.86791 + 14.4180i 0.111046 + 0.558266i
\(668\) 0.369509 15.7707i 0.0142967 0.610187i
\(669\) 6.37462 + 15.4128i 0.246457 + 0.595893i
\(670\) 1.54833 7.33397i 0.0598172 0.283336i
\(671\) 57.6325 33.2741i 2.22488 1.28453i
\(672\) −25.3760 + 0.161269i −0.978899 + 0.00622110i
\(673\) −26.1547 15.1004i −1.00819 0.582078i −0.0975283 0.995233i \(-0.531094\pi\)
−0.910661 + 0.413154i \(0.864427\pi\)
\(674\) −27.4028 + 30.5183i −1.05552 + 1.17552i
\(675\) 21.2273 + 12.3007i 0.817040 + 0.473452i
\(676\) −14.9660 4.38833i −0.575615 0.168782i
\(677\) 20.4516 + 6.94237i 0.786017 + 0.266817i 0.685456 0.728114i \(-0.259603\pi\)
0.100561 + 0.994931i \(0.467936\pi\)
\(678\) 4.23417 + 22.7381i 0.162612 + 0.873251i
\(679\) 36.9886 + 28.3824i 1.41949 + 1.08921i
\(680\) 7.20021 0.691615i 0.276116 0.0265222i
\(681\) 4.05440 + 2.71217i 0.155365 + 0.103931i
\(682\) 11.3360 + 20.1767i 0.434079 + 0.772606i
\(683\) 25.6563 + 17.1430i 0.981711 + 0.655959i 0.939284 0.343141i \(-0.111491\pi\)
0.0424275 + 0.999100i \(0.486491\pi\)
\(684\) −13.3209 15.9616i −0.509338 0.610307i
\(685\) 0.855853 4.30266i 0.0327004 0.164396i
\(686\) −17.3741 20.2858i −0.663347 0.774517i
\(687\) −37.5351 + 2.44019i −1.43205 + 0.0930992i
\(688\) 3.12842 + 20.7701i 0.119270 + 0.791851i
\(689\) −19.4922 5.22293i −0.742595 0.198978i
\(690\) 6.83140 + 1.92041i 0.260067 + 0.0731087i
\(691\) 31.7640 36.2198i 1.20836 1.37787i 0.303125 0.952951i \(-0.401970\pi\)
0.905232 0.424917i \(-0.139697\pi\)
\(692\) −2.56103 + 28.7400i −0.0973559 + 1.09253i
\(693\) 28.3453 18.8962i 1.07675 0.717809i
\(694\) 18.9105 4.83039i 0.717833 0.183359i
\(695\) −0.963387 1.25551i −0.0365434 0.0476242i
\(696\) 5.44922 11.9331i 0.206552 0.452323i
\(697\) 29.5042 38.4506i 1.11755 1.45642i
\(698\) −15.0061 6.42266i −0.567989 0.243101i
\(699\) −12.2603 21.2615i −0.463726 0.804182i
\(700\) 22.8086 8.82755i 0.862083 0.333650i
\(701\) 10.0081 6.68719i 0.378000 0.252572i −0.352027 0.935990i \(-0.614507\pi\)
0.730027 + 0.683418i \(0.239507\pi\)
\(702\) 28.7973 + 17.1409i 1.08688 + 0.646942i
\(703\) −28.7196 −1.08318
\(704\) 24.6819 + 24.9213i 0.930233 + 0.939258i
\(705\) 1.99620 + 5.89089i 0.0751814 + 0.221864i
\(706\) 17.9191 + 27.5099i 0.674393 + 1.03535i
\(707\) 26.1980 + 12.9194i 0.985276 + 0.485884i
\(708\) 22.6571 18.9291i 0.851504 0.711398i
\(709\) 6.91871 20.3818i 0.259837 0.765456i −0.736220 0.676743i \(-0.763391\pi\)
0.996057 0.0887138i \(-0.0282757\pi\)
\(710\) −4.86528 + 3.64352i −0.182591 + 0.136739i
\(711\) −4.63507 + 2.66951i −0.173829 + 0.100114i
\(712\) −2.39655 3.87479i −0.0898145 0.145214i
\(713\) 12.4738 + 16.2562i 0.467148 + 0.608799i
\(714\) 13.9346 27.4056i 0.521490 1.02563i
\(715\) −10.5290 0.690104i −0.393761 0.0258084i
\(716\) −17.8782 38.5015i −0.668139 1.43887i
\(717\) −7.15028 + 5.48058i −0.267032 + 0.204676i
\(718\) 28.0551 + 2.16911i 1.04701 + 0.0809506i
\(719\) −27.4420 + 27.4420i −1.02342 + 1.02342i −0.0236961 + 0.999719i \(0.507543\pi\)
−0.999719 + 0.0236961i \(0.992457\pi\)
\(720\) −3.94251 4.95555i −0.146929 0.184682i
\(721\) 19.6429 + 19.6429i 0.731541 + 0.731541i
\(722\) 6.43395 + 7.51221i 0.239447 + 0.279576i
\(723\) −8.49908 + 20.4879i −0.316084 + 0.761952i
\(724\) 12.8551 0.540541i 0.477756 0.0200891i
\(725\) −0.826907 + 12.6162i −0.0307105 + 0.468552i
\(726\) −19.7053 4.17106i −0.731334 0.154803i
\(727\) 19.4130 14.8961i 0.719987 0.552465i −0.182488 0.983208i \(-0.558415\pi\)
0.902475 + 0.430743i \(0.141748\pi\)
\(728\) 31.2952 11.6925i 1.15988 0.433353i
\(729\) −19.0310 19.1525i −0.704854 0.709353i
\(730\) 8.73406 + 1.25410i 0.323262 + 0.0464163i
\(731\) −24.0972 8.17989i −0.891267 0.302544i
\(732\) −52.5344 + 2.18110i −1.94173 + 0.0806160i
\(733\) −18.7803 + 38.0827i −0.693667 + 1.40662i 0.209707 + 0.977764i \(0.432749\pi\)
−0.903374 + 0.428853i \(0.858918\pi\)
\(734\) −35.9716 7.59424i −1.32774 0.280308i
\(735\) 0.0522122 0.261763i 0.00192588 0.00965528i
\(736\) 24.7671 + 18.7349i 0.912926 + 0.690578i
\(737\) 44.0359i 1.62208i
\(738\) −42.3003 3.31563i −1.55709 0.122050i
\(739\) 13.8553 + 20.7360i 0.509677 + 0.762785i 0.993676 0.112283i \(-0.0358164\pi\)
−0.484000 + 0.875068i \(0.660816\pi\)
\(740\) −8.74549 0.204907i −0.321490 0.00753255i
\(741\) 23.6958 + 13.6975i 0.870485 + 0.503191i
\(742\) 15.0454 6.02655i 0.552335 0.221242i
\(743\) −34.6866 26.6160i −1.27253 0.976446i −0.999897 0.0143271i \(-0.995439\pi\)
−0.272631 0.962119i \(-0.587894\pi\)
\(744\) −0.544474 18.2772i −0.0199614 0.670076i
\(745\) −1.39827 + 1.07293i −0.0512287 + 0.0393092i
\(746\) −39.8272 23.6205i −1.45818 0.864807i
\(747\) 19.1553 38.7394i 0.700854 1.41740i
\(748\) −40.5488 + 12.7133i −1.48261 + 0.464844i
\(749\) −18.4923 16.2173i −0.675692 0.592566i
\(750\) 10.8049 + 6.41588i 0.394541 + 0.234275i
\(751\) 2.96698 11.0729i 0.108267 0.404056i −0.890429 0.455123i \(-0.849595\pi\)
0.998695 + 0.0510666i \(0.0162621\pi\)
\(752\) −1.27484 + 27.1902i −0.0464885 + 0.991523i
\(753\) 4.12253 + 2.03572i 0.150233 + 0.0741859i
\(754\) −1.33131 + 17.2190i −0.0484834 + 0.627079i
\(755\) 5.44334 + 1.08275i 0.198104 + 0.0394052i
\(756\) −26.7651 + 2.84461i −0.973436 + 0.103457i
\(757\) 10.7820 16.1365i 0.391880 0.586490i −0.582102 0.813116i \(-0.697769\pi\)
0.973982 + 0.226626i \(0.0727695\pi\)
\(758\) 17.9861 + 5.04588i 0.653285 + 0.183275i
\(759\) −41.5986 2.74867i −1.50993 0.0997704i
\(760\) −3.27129 4.00576i −0.118662 0.145304i
\(761\) 4.26643 5.56012i 0.154658 0.201554i −0.709598 0.704607i \(-0.751123\pi\)
0.864256 + 0.503053i \(0.167790\pi\)
\(762\) 5.97824 + 12.5064i 0.216569 + 0.453058i
\(763\) −5.37947 + 15.8474i −0.194750 + 0.573715i
\(764\) 6.61771 0.713982i 0.239420 0.0258310i
\(765\) 7.52630 1.48878i 0.272114 0.0538269i
\(766\) 2.02497 + 37.6468i 0.0731652 + 1.36023i
\(767\) −19.4340 + 33.6607i −0.701721 + 1.21542i
\(768\) −8.14906 26.4876i −0.294054 0.955789i
\(769\) 4.46548 + 7.73444i 0.161029 + 0.278911i 0.935238 0.354019i \(-0.115185\pi\)
−0.774209 + 0.632930i \(0.781852\pi\)
\(770\) 7.10098 4.62534i 0.255901 0.166686i
\(771\) −2.67330 + 20.2228i −0.0962765 + 0.728308i
\(772\) −3.55320 + 8.04013i −0.127882 + 0.289371i
\(77