Properties

Label 483.2.bf.a.61.22
Level $483$
Weight $2$
Character 483.61
Analytic conductor $3.857$
Analytic rank $0$
Dimension $640$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.bf (of order \(66\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(640\)
Relative dimension: \(32\) over \(\Q(\zeta_{66})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label 61.22
Character \(\chi\) \(=\) 483.61
Dual form 483.2.bf.a.388.22

$q$-expansion

\(f(q)\) \(=\) \(q+(0.889863 + 0.699796i) q^{2} +(-0.814576 - 0.580057i) q^{3} +(-0.169376 - 0.698177i) q^{4} +(1.17142 - 0.225774i) q^{5} +(-0.318940 - 1.08621i) q^{6} +(-2.56784 - 0.637321i) q^{7} +(1.27841 - 2.79934i) q^{8} +(0.327068 + 0.945001i) q^{9} +O(q^{10})\) \(q+(0.889863 + 0.699796i) q^{2} +(-0.814576 - 0.580057i) q^{3} +(-0.169376 - 0.698177i) q^{4} +(1.17142 - 0.225774i) q^{5} +(-0.318940 - 1.08621i) q^{6} +(-2.56784 - 0.637321i) q^{7} +(1.27841 - 2.79934i) q^{8} +(0.327068 + 0.945001i) q^{9} +(1.20040 + 0.618851i) q^{10} +(-1.31250 - 1.66898i) q^{11} +(-0.267013 + 0.666966i) q^{12} +(-0.833274 - 1.29660i) q^{13} +(-1.83904 - 2.36410i) q^{14} +(-1.08518 - 0.495583i) q^{15} +(1.81945 - 0.937992i) q^{16} +(-1.55405 - 1.48178i) q^{17} +(-0.370262 + 1.06980i) q^{18} +(1.67423 - 1.59637i) q^{19} +(-0.356041 - 0.779621i) q^{20} +(1.72202 + 2.00864i) q^{21} -2.40365i q^{22} +(-1.40646 - 4.58496i) q^{23} +(-2.66514 + 1.53872i) q^{24} +(-3.32058 + 1.32936i) q^{25} +(0.165856 - 1.73692i) q^{26} +(0.281733 - 0.959493i) q^{27} +(-0.0100323 + 1.90076i) q^{28} +(8.02958 - 2.35770i) q^{29} +(-0.618851 - 1.20040i) q^{30} +(0.0120150 + 0.125827i) q^{31} +(-3.76818 - 0.726258i) q^{32} +(0.101028 + 2.12084i) q^{33} +(-0.345945 - 2.40610i) q^{34} +(-3.15193 - 0.166823i) q^{35} +(0.604380 - 0.388412i) q^{36} +(7.68954 - 2.66138i) q^{37} +(2.60697 - 0.248936i) q^{38} +(-0.0733367 + 1.53953i) q^{39} +(0.865550 - 3.56784i) q^{40} +(-8.08770 + 7.00803i) q^{41} +(0.126723 + 2.99248i) q^{42} +(6.11155 - 2.79105i) q^{43} +(-0.942937 + 1.19904i) q^{44} +(0.596492 + 1.03315i) q^{45} +(1.95698 - 5.06423i) q^{46} +(2.18729 + 1.26283i) q^{47} +(-2.02617 - 0.291319i) q^{48} +(6.18764 + 3.27308i) q^{49} +(-3.88514 - 1.14078i) q^{50} +(0.406372 + 2.10846i) q^{51} +(-0.764120 + 0.801386i) q^{52} +(3.23973 + 0.154327i) q^{53} +(0.922153 - 0.656662i) q^{54} +(-1.91431 - 1.65876i) q^{55} +(-5.06684 + 6.37350i) q^{56} +(-2.28978 + 0.329220i) q^{57} +(8.79514 + 3.52104i) q^{58} +(-2.28321 + 4.42881i) q^{59} +(-0.162202 + 0.841584i) q^{60} +(6.51664 + 9.15134i) q^{61} +(-0.0773616 + 0.120377i) q^{62} +(-0.237590 - 2.63506i) q^{63} +(-5.52594 - 6.37728i) q^{64} +(-1.26886 - 1.33074i) q^{65} +(-1.39425 + 1.95795i) q^{66} +(-3.51688 - 8.78475i) q^{67} +(-0.771327 + 1.33598i) q^{68} +(-1.51387 + 4.55063i) q^{69} +(-2.68804 - 2.35416i) q^{70} +(-0.570484 + 3.96780i) q^{71} +(3.06350 + 0.292529i) q^{72} +(-0.102092 + 0.0247672i) q^{73} +(8.70506 + 3.01285i) q^{74} +(3.47597 + 0.843260i) q^{75} +(-1.39813 - 0.898521i) q^{76} +(2.30662 + 5.12217i) q^{77} +(-1.14261 + 1.31865i) q^{78} +(2.00058 - 0.0952994i) q^{79} +(1.91958 - 1.50957i) q^{80} +(-0.786053 + 0.618159i) q^{81} +(-12.1011 + 0.576449i) q^{82} +(0.929971 - 1.07324i) q^{83} +(1.11072 - 1.54249i) q^{84} +(-2.15500 - 1.38493i) q^{85} +(7.39162 + 1.79319i) q^{86} +(-7.90830 - 2.73709i) q^{87} +(-6.34996 + 1.54048i) q^{88} +(-0.806774 - 0.0770375i) q^{89} +(-0.192201 + 1.33679i) q^{90} +(1.31337 + 3.86053i) q^{91} +(-2.96289 + 1.75854i) q^{92} +(0.0631998 - 0.109465i) q^{93} +(1.06266 + 2.65441i) q^{94} +(1.60081 - 2.24803i) q^{95} +(2.64820 + 2.77735i) q^{96} +(10.9884 + 12.6813i) q^{97} +(3.21566 + 7.24269i) q^{98} +(1.14791 - 1.78618i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 640q - 4q^{2} + 36q^{4} + 24q^{8} - 32q^{9} + O(q^{10}) \) \( 640q - 4q^{2} + 36q^{4} + 24q^{8} - 32q^{9} + 4q^{18} - 28q^{23} + 56q^{25} - 84q^{26} - 176q^{28} - 24q^{29} + 12q^{31} + 36q^{32} - 76q^{35} + 28q^{36} + 44q^{37} - 110q^{42} - 88q^{43} + 154q^{44} + 8q^{46} + 12q^{47} - 8q^{49} - 212q^{50} + 44q^{51} + 108q^{52} - 110q^{56} - 88q^{57} + 2q^{58} - 36q^{59} - 168q^{64} - 48q^{70} + 16q^{71} + 12q^{72} - 48q^{73} - 22q^{74} + 48q^{75} + 32q^{78} - 44q^{79} - 594q^{80} + 32q^{81} + 24q^{82} + 352q^{85} - 36q^{87} - 330q^{88} + 244q^{92} - 24q^{93} - 486q^{94} - 154q^{95} - 60q^{96} - 24q^{98} - 44q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{6}\right)\) \(e\left(\frac{17}{22}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.889863 + 0.699796i 0.629228 + 0.494831i 0.881100 0.472930i \(-0.156804\pi\)
−0.251872 + 0.967761i \(0.581046\pi\)
\(3\) −0.814576 0.580057i −0.470296 0.334896i
\(4\) −0.169376 0.698177i −0.0846879 0.349088i
\(5\) 1.17142 0.225774i 0.523877 0.100969i 0.0795451 0.996831i \(-0.474653\pi\)
0.444332 + 0.895862i \(0.353441\pi\)
\(6\) −0.318940 1.08621i −0.130207 0.443443i
\(7\) −2.56784 0.637321i −0.970554 0.240885i
\(8\) 1.27841 2.79934i 0.451988 0.989715i
\(9\) 0.327068 + 0.945001i 0.109023 + 0.315000i
\(10\) 1.20040 + 0.618851i 0.379601 + 0.195698i
\(11\) −1.31250 1.66898i −0.395734 0.503217i 0.546830 0.837244i \(-0.315835\pi\)
−0.942563 + 0.334027i \(0.891592\pi\)
\(12\) −0.267013 + 0.666966i −0.0770799 + 0.192536i
\(13\) −0.833274 1.29660i −0.231109 0.359612i 0.706259 0.707954i \(-0.250381\pi\)
−0.937368 + 0.348341i \(0.886745\pi\)
\(14\) −1.83904 2.36410i −0.491503 0.631831i
\(15\) −1.08518 0.495583i −0.280191 0.127959i
\(16\) 1.81945 0.937992i 0.454863 0.234498i
\(17\) −1.55405 1.48178i −0.376912 0.359385i 0.477817 0.878459i \(-0.341428\pi\)
−0.854729 + 0.519075i \(0.826277\pi\)
\(18\) −0.370262 + 1.06980i −0.0872717 + 0.252155i
\(19\) 1.67423 1.59637i 0.384095 0.366234i −0.473293 0.880905i \(-0.656935\pi\)
0.857387 + 0.514672i \(0.172086\pi\)
\(20\) −0.356041 0.779621i −0.0796132 0.174329i
\(21\) 1.72202 + 2.00864i 0.375776 + 0.438322i
\(22\) 2.40365i 0.512459i
\(23\) −1.40646 4.58496i −0.293267 0.956030i
\(24\) −2.66514 + 1.53872i −0.544019 + 0.314090i
\(25\) −3.32058 + 1.32936i −0.664116 + 0.265872i
\(26\) 0.165856 1.73692i 0.0325270 0.340638i
\(27\) 0.281733 0.959493i 0.0542195 0.184655i
\(28\) −0.0100323 + 1.90076i −0.00189594 + 0.359209i
\(29\) 8.02958 2.35770i 1.49106 0.437813i 0.568178 0.822906i \(-0.307649\pi\)
0.922878 + 0.385093i \(0.125831\pi\)
\(30\) −0.618851 1.20040i −0.112986 0.219163i
\(31\) 0.0120150 + 0.125827i 0.00215796 + 0.0225992i 0.996487 0.0837503i \(-0.0266898\pi\)
−0.994329 + 0.106350i \(0.966084\pi\)
\(32\) −3.76818 0.726258i −0.666127 0.128385i
\(33\) 0.101028 + 2.12084i 0.0175867 + 0.369190i
\(34\) −0.345945 2.40610i −0.0593290 0.412643i
\(35\) −3.15193 0.166823i −0.532773 0.0281982i
\(36\) 0.604380 0.388412i 0.100730 0.0647353i
\(37\) 7.68954 2.66138i 1.26415 0.437527i 0.388939 0.921264i \(-0.372842\pi\)
0.875214 + 0.483736i \(0.160721\pi\)
\(38\) 2.60697 0.248936i 0.422907 0.0403827i
\(39\) −0.0733367 + 1.53953i −0.0117433 + 0.246521i
\(40\) 0.865550 3.56784i 0.136855 0.564126i
\(41\) −8.08770 + 7.00803i −1.26309 + 1.09447i −0.271855 + 0.962338i \(0.587637\pi\)
−0.991232 + 0.132133i \(0.957818\pi\)
\(42\) 0.126723 + 2.99248i 0.0195538 + 0.461750i
\(43\) 6.11155 2.79105i 0.932003 0.425632i 0.109240 0.994015i \(-0.465158\pi\)
0.822764 + 0.568384i \(0.192431\pi\)
\(44\) −0.942937 + 1.19904i −0.142153 + 0.180762i
\(45\) 0.596492 + 1.03315i 0.0889197 + 0.154013i
\(46\) 1.95698 5.06423i 0.288541 0.746679i
\(47\) 2.18729 + 1.26283i 0.319049 + 0.184203i 0.650969 0.759105i \(-0.274363\pi\)
−0.331919 + 0.943308i \(0.607696\pi\)
\(48\) −2.02617 0.291319i −0.292452 0.0420483i
\(49\) 6.18764 + 3.27308i 0.883949 + 0.467583i
\(50\) −3.88514 1.14078i −0.549442 0.161331i
\(51\) 0.406372 + 2.10846i 0.0569035 + 0.295243i
\(52\) −0.764120 + 0.801386i −0.105964 + 0.111132i
\(53\) 3.23973 + 0.154327i 0.445011 + 0.0211985i 0.268892 0.963170i \(-0.413343\pi\)
0.176119 + 0.984369i \(0.443646\pi\)
\(54\) 0.922153 0.656662i 0.125489 0.0893604i
\(55\) −1.91431 1.65876i −0.258125 0.223667i
\(56\) −5.06684 + 6.37350i −0.677086 + 0.851694i
\(57\) −2.28978 + 0.329220i −0.303288 + 0.0436063i
\(58\) 8.79514 + 3.52104i 1.15486 + 0.462335i
\(59\) −2.28321 + 4.42881i −0.297249 + 0.576582i −0.989408 0.145163i \(-0.953629\pi\)
0.692159 + 0.721745i \(0.256660\pi\)
\(60\) −0.162202 + 0.841584i −0.0209402 + 0.108648i
\(61\) 6.51664 + 9.15134i 0.834370 + 1.17171i 0.983143 + 0.182838i \(0.0585283\pi\)
−0.148773 + 0.988871i \(0.547532\pi\)
\(62\) −0.0773616 + 0.120377i −0.00982494 + 0.0152879i
\(63\) −0.237590 2.63506i −0.0299335 0.331987i
\(64\) −5.52594 6.37728i −0.690743 0.797160i
\(65\) −1.26886 1.33074i −0.157382 0.165058i
\(66\) −1.39425 + 1.95795i −0.171621 + 0.241007i
\(67\) −3.51688 8.78475i −0.429656 1.07323i −0.972398 0.233329i \(-0.925038\pi\)
0.542742 0.839899i \(-0.317386\pi\)
\(68\) −0.771327 + 1.33598i −0.0935371 + 0.162011i
\(69\) −1.51387 + 4.55063i −0.182248 + 0.547831i
\(70\) −2.68804 2.35416i −0.321282 0.281375i
\(71\) −0.570484 + 3.96780i −0.0677040 + 0.470892i 0.927559 + 0.373676i \(0.121903\pi\)
−0.995263 + 0.0972158i \(0.969006\pi\)
\(72\) 3.06350 + 0.292529i 0.361037 + 0.0344749i
\(73\) −0.102092 + 0.0247672i −0.0119489 + 0.00289878i −0.241729 0.970344i \(-0.577714\pi\)
0.229780 + 0.973243i \(0.426199\pi\)
\(74\) 8.70506 + 3.01285i 1.01194 + 0.350237i
\(75\) 3.47597 + 0.843260i 0.401370 + 0.0973713i
\(76\) −1.39813 0.898521i −0.160376 0.103067i
\(77\) 2.30662 + 5.12217i 0.262864 + 0.583725i
\(78\) −1.14261 + 1.31865i −0.129376 + 0.149307i
\(79\) 2.00058 0.0952994i 0.225083 0.0107220i 0.0652626 0.997868i \(-0.479212\pi\)
0.159820 + 0.987146i \(0.448908\pi\)
\(80\) 1.91958 1.50957i 0.214615 0.168775i
\(81\) −0.786053 + 0.618159i −0.0873392 + 0.0686843i
\(82\) −12.1011 + 0.576449i −1.33635 + 0.0636581i
\(83\) 0.929971 1.07324i 0.102078 0.117804i −0.702412 0.711771i \(-0.747894\pi\)
0.804490 + 0.593967i \(0.202439\pi\)
\(84\) 1.11072 1.54249i 0.121189 0.168299i
\(85\) −2.15500 1.38493i −0.233742 0.150217i
\(86\) 7.39162 + 1.79319i 0.797059 + 0.193364i
\(87\) −7.90830 2.73709i −0.847859 0.293447i
\(88\) −6.34996 + 1.54048i −0.676908 + 0.164216i
\(89\) −0.806774 0.0770375i −0.0855178 0.00816596i 0.0522094 0.998636i \(-0.483374\pi\)
−0.137727 + 0.990470i \(0.543980\pi\)
\(90\) −0.192201 + 1.33679i −0.0202598 + 0.140910i
\(91\) 1.31337 + 3.86053i 0.137678 + 0.404694i
\(92\) −2.96289 + 1.75854i −0.308903 + 0.183340i
\(93\) 0.0631998 0.109465i 0.00655351 0.0113510i
\(94\) 1.06266 + 2.65441i 0.109606 + 0.273781i
\(95\) 1.60081 2.24803i 0.164240 0.230643i
\(96\) 2.64820 + 2.77735i 0.270281 + 0.283462i
\(97\) 10.9884 + 12.6813i 1.11570 + 1.28759i 0.953687 + 0.300799i \(0.0972535\pi\)
0.162014 + 0.986788i \(0.448201\pi\)
\(98\) 3.21566 + 7.24269i 0.324831 + 0.731622i
\(99\) 1.14791 1.78618i 0.115369 0.179518i
\(100\) 1.49055 + 2.09319i 0.149055 + 0.209319i
\(101\) −2.64993 + 13.7491i −0.263678 + 1.36809i 0.572623 + 0.819819i \(0.305926\pi\)
−0.836301 + 0.548271i \(0.815286\pi\)
\(102\) −1.11388 + 2.16062i −0.110290 + 0.213933i
\(103\) 6.45333 + 2.58352i 0.635865 + 0.254562i 0.667121 0.744949i \(-0.267526\pi\)
−0.0312556 + 0.999511i \(0.509951\pi\)
\(104\) −4.69489 + 0.675023i −0.460372 + 0.0661915i
\(105\) 2.47072 + 1.96419i 0.241117 + 0.191685i
\(106\) 2.77492 + 2.40448i 0.269524 + 0.233544i
\(107\) −3.87337 + 2.75821i −0.374453 + 0.266646i −0.751753 0.659444i \(-0.770792\pi\)
0.377301 + 0.926091i \(0.376852\pi\)
\(108\) −0.717614 0.0341842i −0.0690525 0.00328937i
\(109\) 5.11561 5.36510i 0.489987 0.513883i −0.431595 0.902067i \(-0.642049\pi\)
0.921582 + 0.388184i \(0.126898\pi\)
\(110\) −0.542680 2.81569i −0.0517425 0.268466i
\(111\) −7.80746 2.29248i −0.741052 0.217592i
\(112\) −5.26987 + 1.24904i −0.497956 + 0.118023i
\(113\) −1.74541 0.250951i −0.164194 0.0236075i 0.0597275 0.998215i \(-0.480977\pi\)
−0.223921 + 0.974607i \(0.571886\pi\)
\(114\) −2.26797 1.30942i −0.212415 0.122638i
\(115\) −2.68273 5.05339i −0.250166 0.471231i
\(116\) −3.00611 5.20673i −0.279110 0.483433i
\(117\) 0.952751 1.21152i 0.0880819 0.112005i
\(118\) −5.13101 + 2.34325i −0.472348 + 0.215714i
\(119\) 3.04618 + 4.79541i 0.279243 + 0.439594i
\(120\) −2.77461 + 2.40421i −0.253286 + 0.219473i
\(121\) 1.53051 6.30885i 0.139137 0.573532i
\(122\) −0.605155 + 12.7038i −0.0547881 + 1.15014i
\(123\) 10.6531 1.01725i 0.960558 0.0917222i
\(124\) 0.0858145 0.0297007i 0.00770637 0.00266720i
\(125\) −8.60768 + 5.53182i −0.769894 + 0.494781i
\(126\) 1.63258 2.51111i 0.145442 0.223707i
\(127\) −0.471367 3.27843i −0.0418271 0.290914i −0.999989 0.00468698i \(-0.998508\pi\)
0.958162 0.286227i \(-0.0924010\pi\)
\(128\) −0.0893444 1.87557i −0.00789700 0.165778i
\(129\) −6.59729 1.27152i −0.580859 0.111951i
\(130\) −0.197863 2.07212i −0.0173537 0.181737i
\(131\) −9.51981 18.4658i −0.831749 1.61337i −0.789089 0.614279i \(-0.789447\pi\)
−0.0426605 0.999090i \(-0.513583\pi\)
\(132\) 1.46361 0.429754i 0.127391 0.0374053i
\(133\) −5.31656 + 3.03222i −0.461005 + 0.262927i
\(134\) 3.01799 10.2783i 0.260715 0.887913i
\(135\) 0.113400 1.18758i 0.00975994 0.102211i
\(136\) −6.13472 + 2.45597i −0.526048 + 0.210598i
\(137\) 10.6389 6.14238i 0.908943 0.524779i 0.0288522 0.999584i \(-0.490815\pi\)
0.880091 + 0.474805i \(0.157481\pi\)
\(138\) −4.53165 + 2.99004i −0.385760 + 0.254529i
\(139\) 3.91370i 0.331956i −0.986129 0.165978i \(-0.946922\pi\)
0.986129 0.165978i \(-0.0530780\pi\)
\(140\) 0.417388 + 2.22886i 0.0352757 + 0.188373i
\(141\) −1.04920 2.29743i −0.0883586 0.193478i
\(142\) −3.28431 + 3.13158i −0.275613 + 0.262796i
\(143\) −1.07033 + 3.09251i −0.0895053 + 0.258608i
\(144\) 1.48149 + 1.41260i 0.123457 + 0.117716i
\(145\) 8.87374 4.57473i 0.736924 0.379911i
\(146\) −0.108180 0.0494040i −0.00895301 0.00408870i
\(147\) −3.14173 6.25536i −0.259126 0.515933i
\(148\) −3.16053 4.91788i −0.259794 0.404248i
\(149\) −2.43910 + 6.09257i −0.199819 + 0.499123i −0.994105 0.108421i \(-0.965421\pi\)
0.794287 + 0.607543i \(0.207845\pi\)
\(150\) 2.50303 + 3.18286i 0.204371 + 0.259879i
\(151\) −14.0059 7.22055i −1.13979 0.587600i −0.218249 0.975893i \(-0.570035\pi\)
−0.921536 + 0.388293i \(0.873065\pi\)
\(152\) −2.32843 6.72756i −0.188861 0.545677i
\(153\) 0.892005 1.95322i 0.0721143 0.157908i
\(154\) −1.53190 + 6.17219i −0.123444 + 0.497369i
\(155\) 0.0424832 + 0.144684i 0.00341233 + 0.0116213i
\(156\) 1.08728 0.209557i 0.0870523 0.0167780i
\(157\) −1.14186 4.70679i −0.0911300 0.375643i 0.907924 0.419135i \(-0.137667\pi\)
−0.999054 + 0.0434924i \(0.986152\pi\)
\(158\) 1.84693 + 1.31520i 0.146934 + 0.104631i
\(159\) −2.54949 2.00494i −0.202187 0.159002i
\(160\) −4.57811 −0.361932
\(161\) 0.689479 + 12.6698i 0.0543385 + 0.998523i
\(162\) −1.13207 −0.0889435
\(163\) 18.4320 + 14.4951i 1.44371 + 1.13534i 0.966535 + 0.256535i \(0.0825810\pi\)
0.477173 + 0.878809i \(0.341661\pi\)
\(164\) 6.26271 + 4.45965i 0.489035 + 0.348240i
\(165\) 0.597175 + 2.46159i 0.0464900 + 0.191635i
\(166\) 1.57860 0.304250i 0.122523 0.0236144i
\(167\) −6.69304 22.7944i −0.517923 1.76388i −0.636858 0.770981i \(-0.719766\pi\)
0.118935 0.992902i \(-0.462052\pi\)
\(168\) 7.82432 2.25264i 0.603659 0.173795i
\(169\) 4.41357 9.66437i 0.339505 0.743413i
\(170\) −0.948482 2.74046i −0.0727452 0.210184i
\(171\) 2.05616 + 1.06003i 0.157239 + 0.0810622i
\(172\) −2.98380 3.79421i −0.227512 0.289306i
\(173\) 2.99005 7.46878i 0.227329 0.567841i −0.770222 0.637776i \(-0.779855\pi\)
0.997552 + 0.0699344i \(0.0222790\pi\)
\(174\) −5.12190 7.96984i −0.388290 0.604192i
\(175\) 9.37395 1.29731i 0.708604 0.0980674i
\(176\) −3.95352 1.80551i −0.298008 0.136096i
\(177\) 4.42881 2.28321i 0.332890 0.171617i
\(178\) −0.664008 0.633130i −0.0497695 0.0474551i
\(179\) −2.19230 + 6.33424i −0.163860 + 0.473444i −0.996801 0.0799182i \(-0.974534\pi\)
0.832941 + 0.553362i \(0.186655\pi\)
\(180\) 0.620293 0.591448i 0.0462339 0.0440839i
\(181\) −3.20007 7.00718i −0.237859 0.520839i 0.752628 0.658447i \(-0.228786\pi\)
−0.990487 + 0.137607i \(0.956059\pi\)
\(182\) −1.53287 + 4.35443i −0.113624 + 0.322772i
\(183\) 11.2345i 0.830477i
\(184\) −14.6329 1.92432i −1.07875 0.141863i
\(185\) 8.40685 4.85370i 0.618084 0.356851i
\(186\) 0.132842 0.0531821i 0.00974048 0.00389950i
\(187\) −0.433375 + 4.53851i −0.0316915 + 0.331889i
\(188\) 0.511207 1.74101i 0.0372836 0.126976i
\(189\) −1.33495 + 2.28427i −0.0971034 + 0.166156i
\(190\) 2.99767 0.880195i 0.217474 0.0638561i
\(191\) 5.59105 + 10.8451i 0.404554 + 0.784726i 0.999823 0.0188008i \(-0.00598485\pi\)
−0.595269 + 0.803526i \(0.702955\pi\)
\(192\) 0.802116 + 8.40014i 0.0578877 + 0.606228i
\(193\) 22.1242 + 4.26409i 1.59253 + 0.306936i 0.907009 0.421112i \(-0.138360\pi\)
0.685526 + 0.728048i \(0.259572\pi\)
\(194\) 0.903854 + 18.9742i 0.0648929 + 1.36227i
\(195\) 0.261676 + 1.82000i 0.0187390 + 0.130333i
\(196\) 1.23715 4.87445i 0.0883681 0.348175i
\(197\) 0.571813 0.367482i 0.0407400 0.0261820i −0.520112 0.854098i \(-0.674110\pi\)
0.560852 + 0.827916i \(0.310474\pi\)
\(198\) 2.27145 0.786156i 0.161425 0.0558697i
\(199\) 15.3114 1.46206i 1.08540 0.103643i 0.463011 0.886353i \(-0.346769\pi\)
0.622387 + 0.782710i \(0.286163\pi\)
\(200\) −0.523751 + 10.9949i −0.0370348 + 0.777456i
\(201\) −2.23089 + 9.19584i −0.157355 + 0.648625i
\(202\) −11.9797 + 10.3804i −0.842886 + 0.730365i
\(203\) −22.1213 + 0.936774i −1.55261 + 0.0657487i
\(204\) 1.40325 0.640841i 0.0982469 0.0448679i
\(205\) −7.89190 + 10.0354i −0.551194 + 0.700901i
\(206\) 3.93464 + 6.81500i 0.274139 + 0.474824i
\(207\) 3.87278 2.82870i 0.269177 0.196608i
\(208\) −2.73230 1.57750i −0.189451 0.109380i
\(209\) −4.86175 0.699014i −0.336294 0.0483518i
\(210\) 0.824070 + 3.47686i 0.0568662 + 0.239926i
\(211\) 17.4489 + 5.12347i 1.20123 + 0.352714i 0.820324 0.571898i \(-0.193793\pi\)
0.380909 + 0.924612i \(0.375611\pi\)
\(212\) −0.440984 2.28804i −0.0302869 0.157143i
\(213\) 2.76626 2.90116i 0.189541 0.198785i
\(214\) −5.37696 0.256136i −0.367561 0.0175091i
\(215\) 6.52908 4.64934i 0.445279 0.317082i
\(216\) −2.32577 2.01529i −0.158249 0.137123i
\(217\) 0.0493396 0.330762i 0.00334939 0.0224536i
\(218\) 8.30667 1.19432i 0.562599 0.0808895i
\(219\) 0.0975278 + 0.0390443i 0.00659032 + 0.00263837i
\(220\) −0.833868 + 1.61748i −0.0562194 + 0.109050i
\(221\) −0.626330 + 3.24971i −0.0421315 + 0.218599i
\(222\) −5.34331 7.50363i −0.358619 0.503610i
\(223\) −13.9400 + 21.6910i −0.933490 + 1.45254i −0.0421987 + 0.999109i \(0.513436\pi\)
−0.891292 + 0.453430i \(0.850200\pi\)
\(224\) 9.21325 + 4.26646i 0.615586 + 0.285065i
\(225\) −2.34230 2.70316i −0.156153 0.180211i
\(226\) −1.37756 1.44474i −0.0916338 0.0961027i
\(227\) 11.3265 15.9059i 0.751769 1.05571i −0.244520 0.969644i \(-0.578630\pi\)
0.996289 0.0860679i \(-0.0274302\pi\)
\(228\) 0.617686 + 1.54291i 0.0409073 + 0.102181i
\(229\) 2.21238 3.83195i 0.146198 0.253222i −0.783621 0.621239i \(-0.786630\pi\)
0.929819 + 0.368016i \(0.119963\pi\)
\(230\) 1.14909 6.37419i 0.0757685 0.420302i
\(231\) 1.09223 5.51036i 0.0718635 0.362555i
\(232\) 3.66514 25.4916i 0.240628 1.67361i
\(233\) −2.44362 0.233337i −0.160087 0.0152864i 0.0147049 0.999892i \(-0.495319\pi\)
−0.174792 + 0.984605i \(0.555925\pi\)
\(234\) 1.69564 0.411357i 0.110847 0.0268912i
\(235\) 2.84736 + 0.985482i 0.185741 + 0.0642857i
\(236\) 3.47881 + 0.843951i 0.226451 + 0.0549365i
\(237\) −1.68490 1.08282i −0.109446 0.0703369i
\(238\) −0.645126 + 6.39896i −0.0418173 + 0.414783i
\(239\) −7.99718 + 9.22924i −0.517295 + 0.596990i −0.952951 0.303123i \(-0.901971\pi\)
0.435657 + 0.900113i \(0.356516\pi\)
\(240\) −2.43928 + 0.116197i −0.157455 + 0.00750049i
\(241\) 11.7647 9.25188i 0.757832 0.595966i −0.162680 0.986679i \(-0.552014\pi\)
0.920513 + 0.390713i \(0.127772\pi\)
\(242\) 5.77686 4.54297i 0.371350 0.292033i
\(243\) 0.998867 0.0475819i 0.0640774 0.00305238i
\(244\) 5.28549 6.09978i 0.338369 0.390499i
\(245\) 7.98733 + 2.43716i 0.510292 + 0.155705i
\(246\) 10.1917 + 6.54979i 0.649797 + 0.417599i
\(247\) −3.46495 0.840589i −0.220470 0.0534854i
\(248\) 0.367593 + 0.127225i 0.0233422 + 0.00807880i
\(249\) −1.38007 + 0.334803i −0.0874587 + 0.0212172i
\(250\) −11.5308 1.10106i −0.729272 0.0696371i
\(251\) 2.03690 14.1670i 0.128568 0.894211i −0.818803 0.574074i \(-0.805362\pi\)
0.947371 0.320137i \(-0.103729\pi\)
\(252\) −1.79950 + 0.612196i −0.113358 + 0.0385647i
\(253\) −5.80623 + 8.36512i −0.365034 + 0.525911i
\(254\) 1.87478 3.24722i 0.117634 0.203748i
\(255\) 0.952068 + 2.37815i 0.0596208 + 0.148926i
\(256\) −8.55643 + 12.0158i −0.534777 + 0.750989i
\(257\) −8.84957 9.28116i −0.552021 0.578943i 0.387312 0.921949i \(-0.373403\pi\)
−0.939333 + 0.343006i \(0.888555\pi\)
\(258\) −4.98088 5.74825i −0.310096 0.357870i
\(259\) −21.4417 + 1.93329i −1.33232 + 0.120129i
\(260\) −0.714177 + 1.11128i −0.0442914 + 0.0689187i
\(261\) 4.85424 + 6.81683i 0.300470 + 0.421951i
\(262\) 4.45101 23.0940i 0.274984 1.42675i
\(263\) 4.85116 9.40993i 0.299135 0.580241i −0.690586 0.723250i \(-0.742647\pi\)
0.989721 + 0.143009i \(0.0456777\pi\)
\(264\) 6.06609 + 2.42850i 0.373342 + 0.149464i
\(265\) 3.82994 0.550662i 0.235271 0.0338269i
\(266\) −6.85295 1.02225i −0.420181 0.0626783i
\(267\) 0.612492 + 0.530727i 0.0374839 + 0.0324800i
\(268\) −5.53763 + 3.94333i −0.338265 + 0.240877i
\(269\) −18.3483 0.874040i −1.11872 0.0532911i −0.519938 0.854204i \(-0.674045\pi\)
−0.598781 + 0.800913i \(0.704348\pi\)
\(270\) 0.931976 0.977428i 0.0567183 0.0594844i
\(271\) 4.50704 + 23.3847i 0.273783 + 1.42052i 0.814913 + 0.579583i \(0.196785\pi\)
−0.541130 + 0.840939i \(0.682003\pi\)
\(272\) −4.21741 1.23834i −0.255718 0.0750856i
\(273\) 1.16949 3.90652i 0.0707808 0.236434i
\(274\) 13.7656 + 1.97919i 0.831610 + 0.119567i
\(275\) 6.57693 + 3.79719i 0.396604 + 0.228979i
\(276\) 3.43355 + 0.286182i 0.206676 + 0.0172261i
\(277\) −10.8885 18.8594i −0.654224 1.13315i −0.982088 0.188425i \(-0.939662\pi\)
0.327863 0.944725i \(-0.393671\pi\)
\(278\) 2.73879 3.48266i 0.164262 0.208876i
\(279\) −0.114977 + 0.0525083i −0.00688349 + 0.00314359i
\(280\) −4.49646 + 8.61003i −0.268715 + 0.514548i
\(281\) 0.210093 0.182047i 0.0125331 0.0108600i −0.648572 0.761154i \(-0.724633\pi\)
0.661105 + 0.750294i \(0.270088\pi\)
\(282\) 0.674087 2.77862i 0.0401413 0.165465i
\(283\) −0.110841 + 2.32685i −0.00658884 + 0.138317i 0.993176 + 0.116626i \(0.0372079\pi\)
−0.999765 + 0.0216906i \(0.993095\pi\)
\(284\) 2.86685 0.273751i 0.170117 0.0162442i
\(285\) −2.60797 + 0.902627i −0.154483 + 0.0534670i
\(286\) −3.11657 + 2.00290i −0.184287 + 0.118434i
\(287\) 25.2343 12.8411i 1.48953 0.757984i
\(288\) −0.546138 3.79847i −0.0321815 0.223827i
\(289\) −0.589505 12.3752i −0.0346768 0.727955i
\(290\) 11.0978 + 2.13893i 0.651685 + 0.125602i
\(291\) −1.59501 16.7037i −0.0935014 0.979191i
\(292\) 0.0345837 + 0.0670831i 0.00202386 + 0.00392574i
\(293\) 25.8516 7.59072i 1.51027 0.443455i 0.581323 0.813673i \(-0.302535\pi\)
0.928945 + 0.370218i \(0.120717\pi\)
\(294\) 1.58177 7.76499i 0.0922506 0.452863i
\(295\) −1.67470 + 5.70351i −0.0975049 + 0.332071i
\(296\) 2.38033 24.9279i 0.138354 1.44891i
\(297\) −1.97115 + 0.789129i −0.114378 + 0.0457899i
\(298\) −6.43402 + 3.71468i −0.372713 + 0.215186i
\(299\) −4.77289 + 5.64415i −0.276024 + 0.326410i
\(300\) 2.56967i 0.148360i
\(301\) −17.4723 + 3.27196i −1.00709 + 0.188593i
\(302\) −7.41044 16.2266i −0.426423 0.933736i
\(303\) 10.1338 9.66260i 0.582174 0.555102i
\(304\) 1.54879 4.47494i 0.0888293 0.256655i
\(305\) 9.69988 + 9.24882i 0.555414 + 0.529586i
\(306\) 2.16062 1.11388i 0.123514 0.0636760i
\(307\) 2.53461 + 1.15752i 0.144658 + 0.0660631i 0.486429 0.873720i \(-0.338299\pi\)
−0.341771 + 0.939783i \(0.611027\pi\)
\(308\) 3.18549 2.47800i 0.181510 0.141197i
\(309\) −3.75814 5.84777i −0.213793 0.332668i
\(310\) −0.0634454 + 0.158479i −0.00360346 + 0.00900100i
\(311\) −3.75863 4.77948i −0.213132 0.271020i 0.667718 0.744414i \(-0.267271\pi\)
−0.880851 + 0.473394i \(0.843029\pi\)
\(312\) 4.21590 + 2.17345i 0.238678 + 0.123047i
\(313\) 2.99564 + 8.65534i 0.169324 + 0.489229i 0.997454 0.0713063i \(-0.0227168\pi\)
−0.828131 + 0.560535i \(0.810596\pi\)
\(314\) 2.27770 4.98747i 0.128538 0.281459i
\(315\) −0.873246 3.03313i −0.0492019 0.170898i
\(316\) −0.405386 1.38062i −0.0228047 0.0776658i
\(317\) −27.5810 + 5.31580i −1.54910 + 0.298565i −0.890873 0.454253i \(-0.849906\pi\)
−0.658229 + 0.752818i \(0.728694\pi\)
\(318\) −0.865646 3.56824i −0.0485430 0.200097i
\(319\) −14.4738 10.3067i −0.810376 0.577066i
\(320\) −7.91305 6.22289i −0.442353 0.347870i
\(321\) 4.75507 0.265402
\(322\) −8.25276 + 11.7569i −0.459908 + 0.655187i
\(323\) −4.96731 −0.276388
\(324\) 0.564723 + 0.444103i 0.0313735 + 0.0246724i
\(325\) 4.49060 + 3.19774i 0.249094 + 0.177379i
\(326\) 6.25837 + 25.7973i 0.346619 + 1.42878i
\(327\) −7.27911 + 1.40293i −0.402536 + 0.0775824i
\(328\) 9.27841 + 31.5994i 0.512314 + 1.74478i
\(329\) −4.81179 4.63677i −0.265283 0.255633i
\(330\) −1.19121 + 2.60838i −0.0655738 + 0.143587i
\(331\) 5.00422 + 14.4588i 0.275057 + 0.794725i 0.994925 + 0.100614i \(0.0320809\pi\)
−0.719869 + 0.694110i \(0.755798\pi\)
\(332\) −0.906829 0.467503i −0.0497687 0.0256575i
\(333\) 5.03000 + 6.39617i 0.275643 + 0.350508i
\(334\) 9.99554 24.9677i 0.546932 1.36617i
\(335\) −6.10313 9.49666i −0.333450 0.518858i
\(336\) 5.01722 + 2.03938i 0.273712 + 0.111257i
\(337\) −23.1450 10.5700i −1.26079 0.575783i −0.330914 0.943661i \(-0.607357\pi\)
−0.929874 + 0.367878i \(0.880084\pi\)
\(338\) 10.6906 5.51137i 0.581490 0.299779i
\(339\) 1.27620 + 1.21685i 0.0693136 + 0.0660904i
\(340\) −0.601923 + 1.73914i −0.0326438 + 0.0943182i
\(341\) 0.194233 0.185201i 0.0105183 0.0100292i
\(342\) 1.08790 + 2.38217i 0.0588270 + 0.128813i
\(343\) −13.8029 12.3483i −0.745286 0.666745i
\(344\) 20.6764i 1.11480i
\(345\) −0.745972 + 5.67251i −0.0401618 + 0.305398i
\(346\) 7.88736 4.55377i 0.424027 0.244812i
\(347\) 8.43848 3.37826i 0.453002 0.181354i −0.133930 0.990991i \(-0.542760\pi\)
0.586932 + 0.809636i \(0.300336\pi\)
\(348\) −0.571497 + 5.98499i −0.0306355 + 0.320829i
\(349\) −7.85544 + 26.7532i −0.420492 + 1.43206i 0.428443 + 0.903569i \(0.359062\pi\)
−0.848936 + 0.528496i \(0.822756\pi\)
\(350\) 9.24939 + 5.40543i 0.494401 + 0.288932i
\(351\) −1.47884 + 0.434226i −0.0789346 + 0.0231773i
\(352\) 3.73363 + 7.24224i 0.199003 + 0.386013i
\(353\) −0.0757700 0.793499i −0.00403283 0.0422337i 0.993232 0.116151i \(-0.0370558\pi\)
−0.997264 + 0.0739178i \(0.976450\pi\)
\(354\) 5.53882 + 1.06752i 0.294385 + 0.0567381i
\(355\) 0.227546 + 4.77678i 0.0120769 + 0.253525i
\(356\) 0.0828621 + 0.576319i 0.00439168 + 0.0305448i
\(357\) 0.300266 5.67318i 0.0158918 0.300257i
\(358\) −6.38353 + 4.10245i −0.337380 + 0.216821i
\(359\) −17.4570 + 6.04194i −0.921348 + 0.318882i −0.746247 0.665669i \(-0.768146\pi\)
−0.175101 + 0.984551i \(0.556025\pi\)
\(360\) 3.65471 0.348982i 0.192620 0.0183930i
\(361\) −0.649424 + 13.6331i −0.0341802 + 0.717531i
\(362\) 2.05597 8.47483i 0.108059 0.445427i
\(363\) −4.90621 + 4.25126i −0.257509 + 0.223133i
\(364\) 2.47288 1.57084i 0.129614 0.0823345i
\(365\) −0.114001 + 0.0520625i −0.00596708 + 0.00272508i
\(366\) 7.86185 9.99716i 0.410946 0.522560i
\(367\) −11.2226 19.4380i −0.585813 1.01466i −0.994774 0.102105i \(-0.967442\pi\)
0.408961 0.912552i \(-0.365891\pi\)
\(368\) −6.85964 7.02286i −0.357584 0.366092i
\(369\) −9.26782 5.35078i −0.482464 0.278551i
\(370\) 10.8775 + 1.56395i 0.565497 + 0.0813061i
\(371\) −8.22076 2.46104i −0.426801 0.127771i
\(372\) −0.0871305 0.0255838i −0.00451751 0.00132646i
\(373\) 5.26510 + 27.3180i 0.272617 + 1.41447i 0.817486 + 0.575949i \(0.195367\pi\)
−0.544869 + 0.838521i \(0.683421\pi\)
\(374\) −3.56168 + 3.73538i −0.184170 + 0.193152i
\(375\) 10.2204 + 0.486857i 0.527778 + 0.0251412i
\(376\) 6.33136 4.50854i 0.326515 0.232510i
\(377\) −9.74783 8.44655i −0.502039 0.435019i
\(378\) −2.78645 + 1.09850i −0.143320 + 0.0565006i
\(379\) −30.2033 + 4.34259i −1.55144 + 0.223064i −0.864119 0.503288i \(-0.832123\pi\)
−0.687323 + 0.726352i \(0.741214\pi\)
\(380\) −1.84066 0.736890i −0.0944239 0.0378016i
\(381\) −1.51771 + 2.94395i −0.0777547 + 0.150823i
\(382\) −2.61411 + 13.5633i −0.133749 + 0.693958i
\(383\) −18.6116 26.1363i −0.951006 1.33550i −0.942025 0.335542i \(-0.891081\pi\)
−0.00898095 0.999960i \(-0.502859\pi\)
\(384\) −1.01516 + 1.57962i −0.0518046 + 0.0806096i
\(385\) 3.85848 + 5.47946i 0.196646 + 0.279259i
\(386\) 16.7035 + 19.2769i 0.850187 + 0.981168i
\(387\) 4.63644 + 4.86256i 0.235684 + 0.247178i
\(388\) 6.99260 9.81973i 0.354996 0.498521i
\(389\) 1.13279 + 2.82958i 0.0574350 + 0.143466i 0.954310 0.298819i \(-0.0965925\pi\)
−0.896875 + 0.442284i \(0.854168\pi\)
\(390\) −1.04077 + 1.80267i −0.0527015 + 0.0912816i
\(391\) −4.60820 + 9.20931i −0.233047 + 0.465735i
\(392\) 17.0728 13.1369i 0.862308 0.663515i
\(393\) −2.95664 + 20.5639i −0.149143 + 1.03731i
\(394\) 0.765997 + 0.0731439i 0.0385904 + 0.00368494i
\(395\) 2.32201 0.563315i 0.116833 0.0283434i
\(396\) −1.44150 0.498908i −0.0724381 0.0250711i
\(397\) 17.5287 + 4.25243i 0.879743 + 0.213423i 0.650097 0.759851i \(-0.274728\pi\)
0.229646 + 0.973274i \(0.426243\pi\)
\(398\) 14.6482 + 9.41384i 0.734249 + 0.471873i
\(399\) 6.08961 + 0.613938i 0.304862 + 0.0307353i
\(400\) −4.79470 + 5.53338i −0.239735 + 0.276669i
\(401\) −19.6410 + 0.935614i −0.980822 + 0.0467223i −0.531864 0.846830i \(-0.678508\pi\)
−0.448959 + 0.893552i \(0.648205\pi\)
\(402\) −8.42040 + 6.62188i −0.419971 + 0.330269i
\(403\) 0.153136 0.120427i 0.00762823 0.00599891i
\(404\) 10.0482 0.478653i 0.499914 0.0238139i
\(405\) −0.781238 + 0.901597i −0.0388200 + 0.0448007i
\(406\) −20.3405 14.6468i −1.00948 0.726909i
\(407\) −14.5343 9.34063i −0.720439 0.462998i
\(408\) 6.42180 + 1.55791i 0.317926 + 0.0771281i
\(409\) −13.1452 4.54959i −0.649988 0.224963i −0.0178760 0.999840i \(-0.505690\pi\)
−0.632112 + 0.774877i \(0.717812\pi\)
\(410\) −14.0454 + 3.40739i −0.693655 + 0.168279i
\(411\) −12.2291 1.16774i −0.603218 0.0576004i
\(412\) 0.710718 4.94315i 0.0350146 0.243532i
\(413\) 8.68551 9.91736i 0.427386 0.488001i
\(414\) 5.42576 + 0.193002i 0.266662 + 0.00948554i
\(415\) 0.847081 1.46719i 0.0415816 0.0720214i
\(416\) 2.19826 + 5.49100i 0.107779 + 0.269218i
\(417\) −2.27017 + 3.18801i −0.111171 + 0.156117i
\(418\) −3.83712 4.02426i −0.187680 0.196833i
\(419\) 7.15793 + 8.26070i 0.349688 + 0.403561i 0.903158 0.429307i \(-0.141242\pi\)
−0.553471 + 0.832869i \(0.686697\pi\)
\(420\) 0.952869 2.05768i 0.0464953 0.100405i
\(421\) −1.99147 + 3.09879i −0.0970585 + 0.151026i −0.886387 0.462945i \(-0.846793\pi\)
0.789328 + 0.613971i \(0.210429\pi\)
\(422\) 11.9418 + 16.7699i 0.581317 + 0.816345i
\(423\) −0.477986 + 2.48003i −0.0232405 + 0.120583i
\(424\) 4.57373 8.87179i 0.222120 0.430852i
\(425\) 7.13015 + 2.85448i 0.345863 + 0.138463i
\(426\) 4.49181 0.645825i 0.217629 0.0312903i
\(427\) −10.9014 27.6524i −0.527554 1.33819i
\(428\) 2.58177 + 2.23712i 0.124795 + 0.108135i
\(429\) 2.66569 1.89823i 0.128701 0.0916475i
\(430\) 9.06358 + 0.431751i 0.437084 + 0.0208209i
\(431\) 10.8970 11.4285i 0.524890 0.550489i −0.406906 0.913470i \(-0.633392\pi\)
0.931797 + 0.362981i \(0.118241\pi\)
\(432\) −0.387398 2.01001i −0.0186387 0.0967068i
\(433\) 20.1725 + 5.92317i 0.969427 + 0.284649i 0.727853 0.685733i \(-0.240518\pi\)
0.241574 + 0.970383i \(0.422336\pi\)
\(434\) 0.275372 0.259805i 0.0132183 0.0124711i
\(435\) −9.88194 1.42081i −0.473803 0.0681226i
\(436\) −4.61225 2.66288i −0.220887 0.127529i
\(437\) −9.67406 5.43104i −0.462773 0.259802i
\(438\) 0.0594634 + 0.102994i 0.00284127 + 0.00492123i
\(439\) −4.14321 + 5.26852i −0.197745 + 0.251453i −0.874806 0.484474i \(-0.839011\pi\)
0.677061 + 0.735927i \(0.263253\pi\)
\(440\) −7.09070 + 3.23821i −0.338036 + 0.154376i
\(441\) −1.06929 + 6.91785i −0.0509184 + 0.329421i
\(442\) −2.83148 + 2.45349i −0.134680 + 0.116701i
\(443\) −2.76355 + 11.3915i −0.131300 + 0.541227i 0.867723 + 0.497047i \(0.165583\pi\)
−0.999024 + 0.0441795i \(0.985933\pi\)
\(444\) −0.278159 + 5.83928i −0.0132008 + 0.277120i
\(445\) −0.962467 + 0.0919045i −0.0456253 + 0.00435669i
\(446\) −27.5840 + 9.54691i −1.30614 + 0.452059i
\(447\) 5.52086 3.54804i 0.261128 0.167817i
\(448\) 10.1254 + 19.8977i 0.478379 + 0.940076i
\(449\) 3.47450 + 24.1657i 0.163972 + 1.14045i 0.891054 + 0.453898i \(0.149967\pi\)
−0.727082 + 0.686551i \(0.759124\pi\)
\(450\) −0.192667 4.04457i −0.00908240 0.190663i
\(451\) 22.3114 + 4.30017i 1.05060 + 0.202487i
\(452\) 0.120421 + 1.26111i 0.00566413 + 0.0593175i
\(453\) 7.22055 + 14.0059i 0.339251 + 0.658055i
\(454\) 21.2100 6.22781i 0.995433 0.292286i
\(455\) 2.41012 + 4.22580i 0.112988 + 0.198108i
\(456\) −2.00568 + 6.83073i −0.0939247 + 0.319878i
\(457\) 1.72800 18.0964i 0.0808323 0.846514i −0.860593 0.509293i \(-0.829907\pi\)
0.941425 0.337221i \(-0.109487\pi\)
\(458\) 4.65030 1.86170i 0.217294 0.0869915i
\(459\) −1.85958 + 1.07363i −0.0867979 + 0.0501128i
\(460\) −3.07377 + 2.72894i −0.143315 + 0.127237i
\(461\) 2.17356i 0.101233i 0.998718 + 0.0506163i \(0.0161186\pi\)
−0.998718 + 0.0506163i \(0.983881\pi\)
\(462\) 4.82807 4.13913i 0.224622 0.192570i
\(463\) 9.56276 + 20.9395i 0.444419 + 0.973143i 0.990766 + 0.135583i \(0.0432909\pi\)
−0.546347 + 0.837559i \(0.683982\pi\)
\(464\) 12.3979 11.8214i 0.575559 0.548794i
\(465\) 0.0493194 0.142499i 0.00228713 0.00660824i
\(466\) −2.01120 1.91767i −0.0931669 0.0888345i
\(467\) −16.2786 + 8.39221i −0.753285 + 0.388345i −0.791695 0.610917i \(-0.790801\pi\)
0.0384099 + 0.999262i \(0.487771\pi\)
\(468\) −1.00723 0.459986i −0.0465592 0.0212629i
\(469\) 3.43210 + 24.7993i 0.158480 + 1.14512i
\(470\) 1.84413 + 2.86952i 0.0850632 + 0.132361i
\(471\) −1.80008 + 4.49638i −0.0829433 + 0.207182i
\(472\) 9.47884 + 12.0533i 0.436299 + 0.554799i
\(473\) −12.6796 6.53680i −0.583010 0.300563i
\(474\) −0.741580 2.14265i −0.0340619 0.0984154i
\(475\) −3.43726 + 7.52654i −0.157712 + 0.345341i
\(476\) 2.83209 2.93900i 0.129809 0.134709i
\(477\) 0.913772 + 3.11202i 0.0418387 + 0.142490i
\(478\) −13.5750 + 2.61636i −0.620906 + 0.119670i
\(479\) −0.317929 1.31052i −0.0145265 0.0598792i 0.964087 0.265587i \(-0.0855656\pi\)
−0.978614 + 0.205707i \(0.934050\pi\)
\(480\) 3.72922 + 2.65557i 0.170215 + 0.121209i
\(481\) −9.85824 7.75260i −0.449497 0.353488i
\(482\) 16.9434 0.771752
\(483\) 6.78759 10.7205i 0.308846 0.487799i
\(484\) −4.66392 −0.211997
\(485\) 15.7352 + 12.3743i 0.714497 + 0.561886i
\(486\) 0.922153 + 0.656662i 0.0418297 + 0.0297868i
\(487\) 7.31465 + 30.1514i 0.331458 + 1.36629i 0.856910 + 0.515466i \(0.172381\pi\)
−0.525452 + 0.850823i \(0.676104\pi\)
\(488\) 33.9486 6.54306i 1.53678 0.296191i
\(489\) −6.60630 22.4990i −0.298747 1.01744i
\(490\) 5.40212 + 7.75825i 0.244043 + 0.350482i
\(491\) −10.9604 + 23.9998i −0.494634 + 1.08310i 0.483542 + 0.875321i \(0.339350\pi\)
−0.978176 + 0.207777i \(0.933377\pi\)
\(492\) −2.51460 7.26545i −0.113367 0.327552i
\(493\) −15.9719 8.23410i −0.719340 0.370845i
\(494\) −2.49509 3.17277i −0.112260 0.142750i
\(495\) 0.941418 2.35155i 0.0423136 0.105694i
\(496\) 0.139886 + 0.217666i 0.00628105 + 0.00977350i
\(497\) 3.99368 9.82512i 0.179141 0.440717i
\(498\) −1.46237 0.667843i −0.0655304 0.0299268i
\(499\) 2.59366 1.33713i 0.116108 0.0598580i −0.399194 0.916867i \(-0.630710\pi\)
0.515302 + 0.857009i \(0.327680\pi\)
\(500\) 5.32012 + 5.07272i 0.237923 + 0.226859i
\(501\) −7.77006 + 22.4501i −0.347141 + 1.00300i
\(502\) 11.7266 11.1812i 0.523382 0.499044i
\(503\) 12.2684 + 26.8641i 0.547022 + 1.19781i 0.958159 + 0.286237i \(0.0924044\pi\)
−0.411137 + 0.911573i \(0.634868\pi\)
\(504\) −7.68016 2.70361i −0.342102 0.120428i
\(505\) 16.7044i 0.743334i
\(506\) −11.0206 + 3.38064i −0.489927 + 0.150288i
\(507\) −9.20107 + 5.31224i −0.408634 + 0.235925i
\(508\) −2.20908 + 0.884384i −0.0980123 + 0.0392382i
\(509\) −1.11880 + 11.7166i −0.0495900 + 0.519330i 0.936214 + 0.351430i \(0.114304\pi\)
−0.985804 + 0.167900i \(0.946302\pi\)
\(510\) −0.817011 + 2.78248i −0.0361779 + 0.123210i
\(511\) 0.277940 + 0.00146699i 0.0122954 + 6.48959e-5i
\(512\) −19.6260 + 5.76270i −0.867353 + 0.254678i
\(513\) −1.06003 2.05616i −0.0468013 0.0907818i
\(514\) −1.37999 14.4519i −0.0608685 0.637444i
\(515\) 8.14288 + 1.56941i 0.358818 + 0.0691565i
\(516\) 0.229674 + 4.82144i 0.0101108 + 0.212252i
\(517\) −0.763178 5.30802i −0.0335645 0.233446i
\(518\) −20.4331 13.2845i −0.897778 0.583685i
\(519\) −6.76794 + 4.34949i −0.297080 + 0.190922i
\(520\) −5.34731 + 1.85072i −0.234495 + 0.0811595i
\(521\) 31.1109 2.97073i 1.36299 0.130150i 0.612207 0.790697i \(-0.290282\pi\)
0.750784 + 0.660547i \(0.229676\pi\)
\(522\) −0.450780 + 9.46303i −0.0197301 + 0.414186i
\(523\) −2.29883 + 9.47592i −0.100521 + 0.414353i −0.999732 0.0231626i \(-0.992626\pi\)
0.899211 + 0.437516i \(0.144142\pi\)
\(524\) −11.2800 + 9.77418i −0.492769 + 0.426987i
\(525\) −8.38831 4.38067i −0.366096 0.191188i
\(526\) 10.9019 4.97873i 0.475346 0.217083i
\(527\) 0.167776 0.213345i 0.00730845 0.00929345i
\(528\) 2.17314 + 3.76399i 0.0945739 + 0.163807i
\(529\) −19.0437 + 12.8971i −0.827988 + 0.560745i
\(530\) 3.79348 + 2.19016i 0.164778 + 0.0951347i
\(531\) −4.93200 0.709114i −0.214030 0.0307729i
\(532\) 3.01752 + 3.19832i 0.130826 + 0.138665i
\(533\) 15.8259 + 4.64690i 0.685495 + 0.201280i
\(534\) 0.173633 + 0.900895i 0.00751385 + 0.0389855i
\(535\) −3.91463 + 4.10554i −0.169244 + 0.177498i
\(536\) −29.0875 1.38561i −1.25639 0.0598492i
\(537\) 5.46002 3.88806i 0.235617 0.167782i
\(538\) −15.7159 13.6179i −0.677560 0.587109i
\(539\) −2.65857 14.6230i −0.114513 0.629856i
\(540\) −0.848349 + 0.121974i −0.0365071 + 0.00524893i
\(541\) 17.1584 + 6.86920i 0.737699 + 0.295330i 0.709918 0.704284i \(-0.248732\pi\)
0.0277804 + 0.999614i \(0.491156\pi\)
\(542\) −12.3539 + 23.9632i −0.530646 + 1.02931i
\(543\) −1.45786 + 7.56410i −0.0625628 + 0.324607i
\(544\) 4.77978 + 6.71226i 0.204931 + 0.287786i
\(545\) 4.78125 7.43978i 0.204806 0.318685i
\(546\) 3.77446 2.65787i 0.161532 0.113746i
\(547\) −7.45557 8.60418i −0.318777 0.367888i 0.573634 0.819112i \(-0.305533\pi\)
−0.892411 + 0.451223i \(0.850988\pi\)
\(548\) −6.09044 6.38747i −0.260171 0.272859i
\(549\) −6.51664 + 9.15134i −0.278123 + 0.390570i
\(550\) 3.19531 + 7.98150i 0.136248 + 0.340332i
\(551\) 9.67959 16.7655i 0.412364 0.714236i
\(552\) 10.8034 + 10.0554i 0.459823 + 0.427987i
\(553\) −5.19792 1.03030i −0.221038 0.0438128i
\(554\) 3.50847 24.4020i 0.149061 1.03674i
\(555\) −9.66344 0.922746i −0.410190 0.0391684i
\(556\) −2.73245 + 0.662886i −0.115882 + 0.0281126i
\(557\) 34.3254 + 11.8801i 1.45441 + 0.503378i 0.936076 0.351797i \(-0.114429\pi\)
0.518339 + 0.855175i \(0.326551\pi\)
\(558\) −0.139059 0.0337353i −0.00588683 0.00142813i
\(559\) −8.71148 5.59853i −0.368456 0.236793i
\(560\) −5.89125 + 2.65296i −0.248951 + 0.112108i
\(561\) 2.98561 3.44558i 0.126053 0.145473i
\(562\) 0.314350 0.0149743i 0.0132600 0.000631654i
\(563\) −24.0608 + 18.9216i −1.01404 + 0.797452i −0.979396 0.201947i \(-0.935273\pi\)
−0.0346469 + 0.999400i \(0.511031\pi\)
\(564\) −1.42630 + 1.12166i −0.0600581 + 0.0472302i
\(565\) −2.10127 + 0.100096i −0.0884011 + 0.00421106i
\(566\) −1.72695 + 1.99301i −0.0725892 + 0.0837725i
\(567\) 2.41243 1.08637i 0.101312 0.0456231i
\(568\) 10.3779 + 6.66947i 0.435447 + 0.279845i
\(569\) 2.55104 + 0.618875i 0.106945 + 0.0259446i 0.288874 0.957367i \(-0.406719\pi\)
−0.181929 + 0.983312i \(0.558234\pi\)
\(570\) −2.95239 1.02183i −0.123662 0.0427999i
\(571\) −3.58789 + 0.870413i −0.150149 + 0.0364256i −0.310129 0.950695i \(-0.600372\pi\)
0.159980 + 0.987120i \(0.448857\pi\)
\(572\) 2.34040 + 0.223481i 0.0978572 + 0.00934423i
\(573\) 1.73645 12.0773i 0.0725414 0.504537i
\(574\) 31.4412 + 6.23209i 1.31233 + 0.260122i
\(575\) 10.7653 + 13.3550i 0.448945 + 0.556943i
\(576\) 4.21917 7.30782i 0.175799 0.304493i
\(577\) −3.30974 8.26734i −0.137786 0.344174i 0.843386 0.537308i \(-0.180559\pi\)
−0.981172 + 0.193134i \(0.938135\pi\)
\(578\) 8.13556 11.4248i 0.338395 0.475209i
\(579\) −15.5484 16.3067i −0.646171 0.677684i
\(580\) −4.69697 5.42059i −0.195031 0.225078i
\(581\) −3.07202 + 2.16323i −0.127449 + 0.0897460i
\(582\) 10.2699 15.9802i 0.425700 0.662402i
\(583\) −3.99458 5.60960i −0.165438 0.232326i
\(584\) −0.0611838 + 0.317452i −0.00253180 + 0.0131362i
\(585\) 0.842546 1.63431i 0.0348350 0.0675705i
\(586\) 28.3164 + 11.3362i 1.16974 + 0.468293i
\(587\) −3.41404 + 0.490864i −0.140912 + 0.0202601i −0.212410 0.977181i \(-0.568131\pi\)
0.0714976 + 0.997441i \(0.477222\pi\)
\(588\) −3.83521 + 3.25299i −0.158162 + 0.134151i
\(589\) 0.220983 + 0.191483i 0.00910546 + 0.00788992i
\(590\) −5.48155 + 3.90339i −0.225672 + 0.160700i
\(591\) −0.678945 0.0323421i −0.0279281 0.00133038i
\(592\) 11.4944 12.0550i 0.472416 0.495456i
\(593\) 6.36737 + 33.0370i 0.261476 + 1.35667i 0.840701 + 0.541500i \(0.182143\pi\)
−0.579224 + 0.815168i \(0.696644\pi\)
\(594\) −2.30628 0.677186i −0.0946279 0.0277853i
\(595\) 4.65105 + 4.92971i 0.190674 + 0.202099i
\(596\) 4.66681 + 0.670986i 0.191160 + 0.0274847i
\(597\) −13.3204 7.69053i −0.545167 0.314753i
\(598\) −8.19698 + 1.68247i −0.335199 + 0.0688012i
\(599\) −6.64074 11.5021i −0.271333 0.469963i 0.697870 0.716224i \(-0.254131\pi\)
−0.969203 + 0.246261i \(0.920798\pi\)
\(600\) 6.80429 8.65236i 0.277784 0.353231i
\(601\) −6.47025 + 2.95487i −0.263927 + 0.120531i −0.542984 0.839743i \(-0.682706\pi\)
0.279057 + 0.960275i \(0.409978\pi\)
\(602\) −17.8377 9.31546i −0.727010 0.379670i
\(603\) 7.15134 6.19667i 0.291225 0.252348i
\(604\) −2.66896 + 11.0016i −0.108598 + 0.447648i
\(605\) 0.368506 7.73589i 0.0149819 0.314509i
\(606\) 15.7796 1.50677i 0.641002 0.0612083i
\(607\) −8.26275 + 2.85977i −0.335375 + 0.116074i −0.489565 0.871967i \(-0.662844\pi\)
0.154190 + 0.988041i \(0.450723\pi\)
\(608\) −7.46819 + 4.79951i −0.302875 + 0.194646i
\(609\) 18.5629 + 12.0685i 0.752206 + 0.489042i
\(610\) 2.15928 + 15.0181i 0.0874267 + 0.608066i
\(611\) −0.185224 3.88833i −0.00749336 0.157305i
\(612\) −1.51478 0.291949i −0.0612312 0.0118013i
\(613\) −4.05805 42.4979i −0.163903 1.71647i −0.586327 0.810074i \(-0.699427\pi\)
0.422424 0.906398i \(-0.361179\pi\)
\(614\) 1.44543 + 2.80375i 0.0583329 + 0.113150i
\(615\) 12.2496 3.59682i 0.493953 0.145038i
\(616\) 17.2875 + 0.0912448i 0.696532 + 0.00367636i
\(617\) −5.67635 + 19.3319i −0.228521 + 0.778271i 0.762780 + 0.646658i \(0.223834\pi\)
−0.991301 + 0.131613i \(0.957984\pi\)
\(618\) 0.748023 7.83365i 0.0300899 0.315116i
\(619\) 33.8161 13.5379i 1.35919 0.544136i 0.426389 0.904540i \(-0.359785\pi\)
0.932796 + 0.360404i \(0.117361\pi\)
\(620\) 0.0938196 0.0541668i 0.00376789 0.00217539i
\(621\) −4.79548 + 0.0577570i −0.192436 + 0.00231771i
\(622\) 6.88336i 0.275998i
\(623\) 2.02257 + 0.711994i 0.0810326 + 0.0285255i
\(624\) 1.31063 + 2.86988i 0.0524672 + 0.114887i
\(625\) 4.10892 3.91784i 0.164357 0.156714i
\(626\) −3.39126 + 9.79841i −0.135542 + 0.391623i
\(627\) 3.55479 + 3.38949i 0.141965 + 0.135363i
\(628\) −3.09277 + 1.59443i −0.123415 + 0.0636248i
\(629\) −15.8935 7.25831i −0.633714 0.289408i
\(630\) 1.34551 3.31017i 0.0536063 0.131880i
\(631\) 3.97243 + 6.18122i 0.158140 + 0.246071i 0.911278 0.411792i \(-0.135097\pi\)
−0.753138 + 0.657863i \(0.771461\pi\)
\(632\) 2.29080 5.72213i 0.0911230 0.227614i
\(633\) −11.2416 14.2948i −0.446812 0.568168i
\(634\) −28.2633 14.5707i −1.12248 0.578678i
\(635\) −1.29235 3.73401i −0.0512855 0.148180i
\(636\) −0.967980 + 2.11958i −0.0383829 + 0.0840468i
\(637\) −0.912123 10.7503i −0.0361396 0.425941i
\(638\) −5.66707 19.3003i −0.224362 0.764105i
\(639\) −3.93617 + 0.758634i −0.155712 + 0.0300111i
\(640\) −0.528114 2.17692i −0.0208755 0.0860502i
\(641\) 26.5211 + 18.8856i 1.04752 + 0.745935i 0.968013 0.250899i \(-0.0807263\pi\)
0.0795060 + 0.996834i \(0.474666\pi\)
\(642\) 4.23136 + 3.32758i 0.166999 + 0.131329i
\(643\) 38.0882 1.50205 0.751026 0.660273i \(-0.229559\pi\)
0.751026 + 0.660273i \(0.229559\pi\)
\(644\) 8.72900 2.62734i 0.343971 0.103532i
\(645\) −8.01531 −0.315603
\(646\) −4.42023 3.47610i −0.173911 0.136766i
\(647\) −12.2063 8.69207i −0.479880 0.341721i 0.314382 0.949297i \(-0.398203\pi\)
−0.794262 + 0.607576i \(0.792142\pi\)
\(648\) 0.725534 + 2.99069i 0.0285016 + 0.117485i
\(649\) 10.3883 2.00218i 0.407777 0.0785926i
\(650\) 1.75825 + 5.98806i 0.0689643 + 0.234871i
\(651\) −0.232052 + 0.240811i −0.00909482 + 0.00943812i
\(652\) 6.99821 15.3239i 0.274071 0.600132i
\(653\) −10.8089 31.2303i −0.422986 1.22214i −0.932341 0.361581i \(-0.882237\pi\)
0.509355 0.860557i \(-0.329884\pi\)
\(654\) −7.45919 3.84548i −0.291677 0.150370i
\(655\) −15.3208 19.4820i −0.598635 0.761226i
\(656\) −8.14169 + 20.3370i −0.317880 + 0.794025i
\(657\) −0.0567959 0.0883762i −0.00221582 0.00344788i
\(658\) −1.03705 7.49337i −0.0404282 0.292122i
\(659\) 32.2666 + 14.7357i 1.25693 + 0.574020i 0.928789 0.370609i \(-0.120851\pi\)
0.328140 + 0.944629i \(0.393578\pi\)
\(660\) 1.61748 0.833868i 0.0629602 0.0324583i
\(661\) −26.4399 25.2104i −1.02839 0.980571i −0.0285739 0.999592i \(-0.509097\pi\)
−0.999819 + 0.0190210i \(0.993945\pi\)
\(662\) −5.66511 + 16.3683i −0.220181 + 0.636170i
\(663\) 2.39521 2.28383i 0.0930222 0.0886965i
\(664\) −1.81548 3.97535i −0.0704544 0.154274i
\(665\) −5.54336 + 4.75236i −0.214962 + 0.184288i
\(666\) 9.21170i 0.356946i
\(667\) −22.1032 33.4993i −0.855841 1.29710i
\(668\) −14.7809 + 8.53374i −0.571889 + 0.330180i
\(669\) 23.9372 9.58302i 0.925466 0.370501i
\(670\) 1.21477 12.7217i 0.0469308 0.491481i
\(671\) 6.72031 22.8873i 0.259435 0.883554i
\(672\) −5.03010 8.81956i −0.194040 0.340222i
\(673\) 34.0550 9.99946i 1.31273 0.385451i 0.450863 0.892593i \(-0.351116\pi\)
0.861862 + 0.507142i \(0.169298\pi\)
\(674\) −13.1991 25.6026i −0.508409 0.986175i
\(675\) 0.339996 + 3.56059i 0.0130864 + 0.137047i
\(676\) −7.49499 1.44454i −0.288269 0.0555593i
\(677\) 1.22055 + 25.6225i 0.0469095 + 0.984752i 0.892536 + 0.450976i \(0.148924\pi\)
−0.845626 + 0.533775i \(0.820773\pi\)
\(678\) 0.284093 + 1.97591i 0.0109105 + 0.0758845i
\(679\) −20.1344 39.5667i −0.772688 1.51843i
\(680\) −6.63187 + 4.26204i −0.254320 + 0.163442i
\(681\) −18.4527 + 6.38653i −0.707108 + 0.244732i
\(682\) 0.302444 0.0288799i 0.0115812 0.00110587i
\(683\) 1.93856 40.6954i 0.0741769 1.55716i −0.588648 0.808390i \(-0.700339\pi\)
0.662824 0.748775i \(-0.269358\pi\)
\(684\) 0.391821 1.61511i 0.0149816 0.0617552i
\(685\) 11.0759 9.59732i 0.423188 0.366695i
\(686\) −3.64140 20.6475i −0.139029 0.788325i
\(687\) −4.02490 + 1.83811i −0.153559 + 0.0701283i
\(688\) 8.50168 10.8108i 0.324124 0.412157i
\(689\) −2.49948 4.32923i −0.0952227 0.164931i
\(690\) −4.63341 + 4.52573i −0.176391 + 0.172292i
\(691\) 15.8729 + 9.16425i 0.603835 + 0.348625i 0.770549 0.637381i \(-0.219982\pi\)
−0.166714 + 0.986005i \(0.553316\pi\)
\(692\) −5.72097 0.822552i −0.217479 0.0312687i
\(693\) −4.08603 + 3.85505i −0.155215 + 0.146441i
\(694\) 9.87319 + 2.89903i 0.374781 + 0.110046i
\(695\) −0.883610 4.58460i −0.0335172 0.173904i
\(696\) −17.7721 + 18.6389i −0.673650 + 0.706504i
\(697\) 22.9530 + 1.09339i 0.869408 + 0.0414150i
\(698\) −25.7121 + 18.3095i −0.973215 + 0.693024i
\(699\) 1.85516 + 1.60751i 0.0701687 + 0.0608015i
\(700\) −2.49347 6.32494i −0.0942444 0.239060i
\(701\) −42.6456 + 6.13151i −1.61070 + 0.231584i −0.888089 0.459671i \(-0.847967\pi\)
−0.722611 + 0.691255i \(0.757058\pi\)
\(702\) −1.61984 0.648484i −0.0611367 0.0244755i
\(703\) 8.62550 16.7311i 0.325317 0.631027i
\(704\) −3.39075 + 17.5929i −0.127794 + 0.663056i
\(705\) −1.74776 2.45438i −0.0658244 0.0924374i
\(706\) 0.487863 0.759129i 0.0183610 0.0285702i
\(707\) 15.5672 33.6168i 0.585465 1.26429i
\(708\) −2.34422 2.70537i −0.0881011 0.101674i
\(709\) 11.4300 + 11.9874i 0.429261 + 0.450196i 0.902469 0.430755i \(-0.141753\pi\)
−0.473208 + 0.880951i \(0.656904\pi\)
\(710\) −3.14029 + 4.40992i −0.117853 + 0.165501i
\(711\) 0.744384 + 1.85938i 0.0279166 + 0.0697323i
\(712\) −1.24704 + 2.15994i −0.0467350 + 0.0809473i
\(713\) 0.560014 0.232059i 0.0209727 0.00869070i
\(714\) 4.23727 4.83823i 0.158576 0.181066i
\(715\) −0.555601 + 3.86429i −0.0207783 + 0.144516i
\(716\) 4.79374 + 0.457747i 0.179151 + 0.0171068i
\(717\) 11.8678 2.87910i 0.443211 0.107522i
\(718\) −19.7625 6.83987i −0.737531 0.255262i
\(719\) 27.8206 + 6.74922i 1.03753 + 0.251703i 0.718126 0.695914i \(-0.245000\pi\)
0.319409 + 0.947617i \(0.396515\pi\)
\(720\) 2.05438 + 1.32027i 0.0765621 + 0.0492035i
\(721\) −14.9246 10.7469i −0.555821 0.400237i
\(722\) −10.1183 + 11.6771i −0.376563 + 0.434577i
\(723\) −14.9499 + 0.712150i −0.555992 + 0.0264851i
\(724\) −4.35023 + 3.42106i −0.161675 + 0.127143i
\(725\) −23.5286 + 18.5031i −0.873831 + 0.687188i
\(726\) −7.34087 + 0.349689i −0.272445 + 0.0129782i
\(727\) 20.4796 23.6348i 0.759548 0.876565i −0.235909 0.971775i \(-0.575807\pi\)
0.995457 + 0.0952101i \(0.0303523\pi\)
\(728\) 12.4860 + 1.25880i 0.462760 + 0.0466542i
\(729\) −0.841254 0.540641i −0.0311575 0.0200237i
\(730\) −0.137878 0.0334490i −0.00510311 0.00123800i
\(731\) −13.6334 4.71855i −0.504248 0.174522i
\(732\) −7.84365 + 1.90285i −0.289910 + 0.0703314i
\(733\) −39.9697 3.81664i −1.47631 0.140971i −0.674380 0.738384i \(-0.735589\pi\)
−0.801933 + 0.597414i \(0.796195\pi\)
\(734\) 3.61613 25.1507i 0.133474 0.928329i
\(735\) −5.09260 6.61836i −0.187843 0.244122i
\(736\) 1.96994 + 18.2984i 0.0726130 + 0.674489i
\(737\) −10.0457 + 17.3996i −0.370037 + 0.640923i
\(738\) −4.50264 11.2471i −0.165745 0.414010i
\(739\) 1.37710 1.93386i 0.0506573 0.0711382i −0.788470 0.615073i \(-0.789127\pi\)
0.839128 + 0.543935i \(0.183066\pi\)
\(740\) −4.81265 5.04737i −0.176917 0.185545i
\(741\) 2.33488 + 2.69459i 0.0857739 + 0.0989884i
\(742\) −5.59313 7.94284i −0.205330 0.291591i
\(743\) 15.5626 24.2159i 0.570938 0.888397i −0.428950 0.903328i \(-0.641117\pi\)
0.999889 + 0.0149310i \(0.00475287\pi\)
\(744\) −0.225634 0.316859i −0.00827216 0.0116166i
\(745\) −1.48168 + 7.68767i −0.0542844 + 0.281654i
\(746\) −14.4318 + 27.9938i −0.528385 + 1.02492i
\(747\) 1.31838 + 0.527800i 0.0482370 + 0.0193112i
\(748\) 3.24209 0.466142i 0.118542 0.0170438i
\(749\) 11.7041 4.61408i 0.427657 0.168595i
\(750\) 8.75404 + 7.58542i 0.319652 + 0.276980i
\(751\) 16.5320 11.7724i 0.603261 0.429581i −0.237193 0.971463i \(-0.576227\pi\)
0.840455 + 0.541882i \(0.182288\pi\)
\(752\) 5.16420 + 0.246001i 0.188319 + 0.00897074i
\(753\) −9.87686 + 10.3586i −0.359933 + 0.377487i
\(754\) −2.76338 14.3378i −0.100636 0.522151i
\(755\) −18.0371 5.29617i −0.656437 0.192747i
\(756\) 1.82094 + 0.545131i 0.0662268 + 0.0198262i
\(757\) −4.42212 0.635805i −0.160725 0.0231087i 0.0614826 0.998108i \(-0.480417\pi\)
−0.222207 + 0.974999i \(0.571326\pi\)
\(758\) −29.9158 17.2719i −1.08659 0.627343i
\(759\) 9.58186 3.44608i 0.347799 0.125085i
\(760\) −4.24649 7.35513i −0.154036 0.266799i
\(761\) −14.3277 + 18.2192i −0.519379 + 0.660444i −0.973015 0.230743i \(-0.925884\pi\)
0.453636 + 0.891187i \(0.350127\pi\)
\(762\) −3.41072 + 1.55762i −0.123557 + 0.0564268i
\(763\) −16.5554 + 10.5164i −0.599345 + 0.380721i
\(764\) 6.62482 5.74044i 0.239678 0.207682i
\(765\) 0.603931 2.48944i 0.0218352 0.0900059i
\(766\) 1.72833 36.2820i 0.0624469 1.31092i
\(767\) 7.64494 0.730003i 0.276043 0.0263589i
\(768\) 13.9397 4.82459i 0.503007 0.174092i
\(769\) 37.6596 24.2023i 1.35804 0.872758i 0.359855 0.933008i \(-0.382826\pi\)
0.998183 + 0.0602501i \(0.0191898\pi\)
\(770\) −0.400983 + 7.57612i −0.0144504 + 0.273024i
\(771\) 1.82504 + 12.6935i 0.0657274 + 0.457144i
\(772\) −0.770217 16.1688i −0.0277207 0.581929i
\(773\)