Properties

Label 177.2.e.a.16.3
Level $177$
Weight $2$
Character 177.16
Analytic conductor $1.413$
Analytic rank $0$
Dimension $140$
CM no
Inner twists $2$

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 16.3
Character \(\chi\) \(=\) 177.16
Dual form 177.2.e.a.166.3

$q$-expansion

\(f(q)\) \(=\) \(q+(0.547213 + 0.120451i) q^{2} +(-0.161782 - 0.986827i) q^{3} +(-1.53022 - 0.707954i) q^{4} +(-0.382080 - 1.37613i) q^{5} +(0.0303347 - 0.559491i) q^{6} +(-1.74470 - 1.65266i) q^{7} +(-1.64420 - 1.24989i) q^{8} +(-0.947653 + 0.319302i) q^{9} +O(q^{10})\) \(q+(0.547213 + 0.120451i) q^{2} +(-0.161782 - 0.986827i) q^{3} +(-1.53022 - 0.707954i) q^{4} +(-0.382080 - 1.37613i) q^{5} +(0.0303347 - 0.559491i) q^{6} +(-1.74470 - 1.65266i) q^{7} +(-1.64420 - 1.24989i) q^{8} +(-0.947653 + 0.319302i) q^{9} +(-0.0433236 - 0.799056i) q^{10} +(1.30884 - 1.54088i) q^{11} +(-0.451066 + 1.62459i) q^{12} +(4.26821 + 1.43813i) q^{13} +(-0.755656 - 1.11451i) q^{14} +(-1.29618 + 0.599679i) q^{15} +(1.43387 + 1.68808i) q^{16} +(-2.50206 + 2.37008i) q^{17} +(-0.557028 + 0.0605805i) q^{18} +(2.45333 - 6.15740i) q^{19} +(-0.389569 + 2.37627i) q^{20} +(-1.34863 + 1.98908i) q^{21} +(0.901812 - 0.685540i) q^{22} +(0.885676 + 0.0963231i) q^{23} +(-0.967423 + 1.82475i) q^{24} +(2.53655 - 1.52619i) q^{25} +(2.16240 + 1.30107i) q^{26} +(0.468408 + 0.883512i) q^{27} +(1.49975 + 3.76410i) q^{28} +(-1.76447 + 0.388390i) q^{29} +(-0.781521 + 0.172026i) q^{30} +(1.48266 + 3.72120i) q^{31} +(2.51615 + 4.74596i) q^{32} +(-1.73233 - 1.04231i) q^{33} +(-1.65464 + 0.995563i) q^{34} +(-1.60766 + 3.03237i) q^{35} +(1.67617 + 0.182294i) q^{36} +(4.12683 - 3.13713i) q^{37} +(2.08416 - 3.07390i) q^{38} +(0.728663 - 4.44464i) q^{39} +(-1.09179 + 2.74019i) q^{40} +(-9.63133 + 1.04747i) q^{41} +(-0.977576 + 0.926009i) q^{42} +(2.85300 + 3.35881i) q^{43} +(-3.09367 + 1.43129i) q^{44} +(0.801478 + 1.18209i) q^{45} +(0.473051 + 0.159390i) q^{46} +(2.72206 - 9.80396i) q^{47} +(1.43387 - 1.68808i) q^{48} +(-0.0663056 - 1.22294i) q^{49} +(1.57186 - 0.529622i) q^{50} +(2.74365 + 2.08567i) q^{51} +(-5.51316 - 5.22234i) q^{52} +(-0.439477 + 8.10567i) q^{53} +(0.149900 + 0.539889i) q^{54} +(-2.62053 - 1.21238i) q^{55} +(0.802986 + 4.89800i) q^{56} +(-6.47319 - 1.42486i) q^{57} -1.01232 q^{58} +(-1.14040 + 7.59602i) q^{59} +2.40799 q^{60} +(4.92197 + 1.08341i) q^{61} +(0.363111 + 2.21488i) q^{62} +(2.18107 + 1.00907i) q^{63} +(-0.379862 - 1.36814i) q^{64} +(0.348249 - 6.42308i) q^{65} +(-0.822406 - 0.779024i) q^{66} +(-4.17476 - 3.17357i) q^{67} +(5.50660 - 1.85539i) q^{68} +(-0.0482323 - 0.889592i) q^{69} +(-1.24499 + 1.46571i) q^{70} +(0.888678 - 3.20073i) q^{71} +(1.95723 + 0.659466i) q^{72} +(4.37279 + 6.44938i) q^{73} +(2.63612 - 1.21960i) q^{74} +(-1.91645 - 2.25622i) q^{75} +(-8.11328 + 7.68531i) q^{76} +(-4.83008 + 0.525303i) q^{77} +(0.934094 - 2.34440i) q^{78} +(0.581786 - 3.54874i) q^{79} +(1.77516 - 2.61817i) q^{80} +(0.796093 - 0.605174i) q^{81} +(-5.39656 - 0.586911i) q^{82} +(6.99315 - 13.1905i) q^{83} +(3.47188 - 2.08896i) q^{84} +(4.21752 + 2.53760i) q^{85} +(1.15663 + 2.18163i) q^{86} +(0.668733 + 1.67839i) q^{87} +(-4.07792 + 0.897619i) q^{88} +(-4.69092 + 1.03255i) q^{89} +(0.296196 + 0.743395i) q^{90} +(-5.06999 - 9.56301i) q^{91} +(-1.28708 - 0.774413i) q^{92} +(3.43231 - 2.06516i) q^{93} +(2.67044 - 5.03698i) q^{94} +(-9.41073 - 1.02348i) q^{95} +(4.27637 - 3.25081i) q^{96} +(0.530690 - 0.782708i) q^{97} +(0.111020 - 0.677193i) q^{98} +(-0.748317 + 1.87813i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 140q - q^{2} - 5q^{3} - 9q^{4} - 2q^{5} - q^{6} - 2q^{7} - 9q^{8} - 5q^{9} + O(q^{10}) \) \( 140q - q^{2} - 5q^{3} - 9q^{4} - 2q^{5} - q^{6} - 2q^{7} - 9q^{8} - 5q^{9} + 88q^{10} - 14q^{11} - 9q^{12} - 12q^{13} - q^{14} - 2q^{15} - 41q^{16} - 16q^{17} - q^{18} - 10q^{19} - 32q^{20} + 27q^{21} - 26q^{22} - 22q^{23} - 9q^{24} + 27q^{25} - 56q^{26} - 5q^{27} - 50q^{28} - 24q^{29} - 28q^{30} - 24q^{31} + 106q^{32} - 14q^{33} - 54q^{34} - 70q^{35} - 9q^{36} - 28q^{37} - 80q^{38} - 12q^{39} - 50q^{40} - 40q^{41} - 30q^{42} + 4q^{43} - 104q^{44} - 2q^{45} - 28q^{46} + 31q^{47} - 41q^{48} - q^{49} + 39q^{50} - 16q^{51} + 62q^{52} + 4q^{53} - q^{54} + 5q^{55} + 96q^{56} - 10q^{57} + 128q^{58} - q^{59} - 32q^{60} - 16q^{61} + 223q^{62} - 2q^{63} + 97q^{64} + 121q^{65} - 26q^{66} - 12q^{67} + 10q^{68} + 36q^{69} - 2q^{70} - 22q^{71} - 9q^{72} + 179q^{73} - 38q^{74} - 31q^{75} + 112q^{76} - 62q^{77} - 56q^{78} - 84q^{79} + 204q^{80} - 5q^{81} - 152q^{82} - 88q^{83} + 95q^{84} - 118q^{85} - 118q^{86} + 34q^{87} + 18q^{88} - 86q^{89} - 28q^{90} + 78q^{91} - 174q^{92} - 24q^{93} - 164q^{94} + 218q^{95} - 39q^{96} - 84q^{97} + 129q^{98} - 14q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{2}{29}\right)\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.547213 + 0.120451i 0.386938 + 0.0851715i 0.404179 0.914680i \(-0.367557\pi\)
−0.0172411 + 0.999851i \(0.505488\pi\)
\(3\) −0.161782 0.986827i −0.0934049 0.569745i
\(4\) −1.53022 0.707954i −0.765109 0.353977i
\(5\) −0.382080 1.37613i −0.170871 0.615423i −0.998531 0.0541917i \(-0.982742\pi\)
0.827659 0.561231i \(-0.189672\pi\)
\(6\) 0.0303347 0.559491i 0.0123841 0.228411i
\(7\) −1.74470 1.65266i −0.659433 0.624649i 0.282969 0.959129i \(-0.408681\pi\)
−0.942403 + 0.334480i \(0.891439\pi\)
\(8\) −1.64420 1.24989i −0.581314 0.441903i
\(9\) −0.947653 + 0.319302i −0.315884 + 0.106434i
\(10\) −0.0433236 0.799056i −0.0137001 0.252684i
\(11\) 1.30884 1.54088i 0.394629 0.464593i −0.528585 0.848881i \(-0.677277\pi\)
0.923213 + 0.384288i \(0.125553\pi\)
\(12\) −0.451066 + 1.62459i −0.130212 + 0.468980i
\(13\) 4.26821 + 1.43813i 1.18379 + 0.398865i 0.841254 0.540641i \(-0.181818\pi\)
0.342534 + 0.939505i \(0.388715\pi\)
\(14\) −0.755656 1.11451i −0.201958 0.297865i
\(15\) −1.29618 + 0.599679i −0.334673 + 0.154836i
\(16\) 1.43387 + 1.68808i 0.358468 + 0.422021i
\(17\) −2.50206 + 2.37008i −0.606839 + 0.574829i −0.928178 0.372136i \(-0.878626\pi\)
0.321339 + 0.946964i \(0.395867\pi\)
\(18\) −0.557028 + 0.0605805i −0.131293 + 0.0142790i
\(19\) 2.45333 6.15740i 0.562833 1.41260i −0.322020 0.946733i \(-0.604362\pi\)
0.884853 0.465871i \(-0.154259\pi\)
\(20\) −0.389569 + 2.37627i −0.0871103 + 0.531350i
\(21\) −1.34863 + 1.98908i −0.294296 + 0.434054i
\(22\) 0.901812 0.685540i 0.192267 0.146158i
\(23\) 0.885676 + 0.0963231i 0.184676 + 0.0200847i 0.199990 0.979798i \(-0.435909\pi\)
−0.0153135 + 0.999883i \(0.504875\pi\)
\(24\) −0.967423 + 1.82475i −0.197474 + 0.372476i
\(25\) 2.53655 1.52619i 0.507309 0.305238i
\(26\) 2.16240 + 1.30107i 0.424081 + 0.255161i
\(27\) 0.468408 + 0.883512i 0.0901452 + 0.170032i
\(28\) 1.49975 + 3.76410i 0.283427 + 0.711348i
\(29\) −1.76447 + 0.388390i −0.327654 + 0.0721222i −0.375751 0.926720i \(-0.622615\pi\)
0.0480971 + 0.998843i \(0.484684\pi\)
\(30\) −0.781521 + 0.172026i −0.142686 + 0.0314075i
\(31\) 1.48266 + 3.72120i 0.266294 + 0.668348i 0.999937 0.0111868i \(-0.00356095\pi\)
−0.733643 + 0.679535i \(0.762182\pi\)
\(32\) 2.51615 + 4.74596i 0.444796 + 0.838975i
\(33\) −1.73233 1.04231i −0.301560 0.181442i
\(34\) −1.65464 + 0.995563i −0.283768 + 0.170738i
\(35\) −1.60766 + 3.03237i −0.271745 + 0.512565i
\(36\) 1.67617 + 0.182294i 0.279361 + 0.0303823i
\(37\) 4.12683 3.13713i 0.678446 0.515741i −0.208261 0.978073i \(-0.566780\pi\)
0.886707 + 0.462332i \(0.152987\pi\)
\(38\) 2.08416 3.07390i 0.338095 0.498653i
\(39\) 0.728663 4.44464i 0.116679 0.711713i
\(40\) −1.09179 + 2.74019i −0.172627 + 0.433262i
\(41\) −9.63133 + 1.04747i −1.50416 + 0.163587i −0.822788 0.568349i \(-0.807582\pi\)
−0.681373 + 0.731936i \(0.738617\pi\)
\(42\) −0.977576 + 0.926009i −0.150843 + 0.142886i
\(43\) 2.85300 + 3.35881i 0.435079 + 0.512214i 0.935383 0.353635i \(-0.115055\pi\)
−0.500305 + 0.865849i \(0.666779\pi\)
\(44\) −3.09367 + 1.43129i −0.466389 + 0.215775i
\(45\) 0.801478 + 1.18209i 0.119477 + 0.176216i
\(46\) 0.473051 + 0.159390i 0.0697476 + 0.0235007i
\(47\) 2.72206 9.80396i 0.397053 1.43006i −0.447356 0.894356i \(-0.647634\pi\)
0.844409 0.535699i \(-0.179952\pi\)
\(48\) 1.43387 1.68808i 0.206961 0.243654i
\(49\) −0.0663056 1.22294i −0.00947223 0.174705i
\(50\) 1.57186 0.529622i 0.222295 0.0748998i
\(51\) 2.74365 + 2.08567i 0.384187 + 0.292052i
\(52\) −5.51316 5.22234i −0.764538 0.724208i
\(53\) −0.439477 + 8.10567i −0.0603668 + 1.11340i 0.798764 + 0.601644i \(0.205487\pi\)
−0.859131 + 0.511756i \(0.828995\pi\)
\(54\) 0.149900 + 0.539889i 0.0203987 + 0.0734696i
\(55\) −2.62053 1.21238i −0.353352 0.163478i
\(56\) 0.802986 + 4.89800i 0.107304 + 0.654523i
\(57\) −6.47319 1.42486i −0.857395 0.188727i
\(58\) −1.01232 −0.132925
\(59\) −1.14040 + 7.59602i −0.148467 + 0.988917i
\(60\) 2.40799 0.310870
\(61\) 4.92197 + 1.08341i 0.630194 + 0.138716i 0.518571 0.855034i \(-0.326464\pi\)
0.111623 + 0.993751i \(0.464395\pi\)
\(62\) 0.363111 + 2.21488i 0.0461151 + 0.281290i
\(63\) 2.18107 + 1.00907i 0.274788 + 0.127131i
\(64\) −0.379862 1.36814i −0.0474827 0.171017i
\(65\) 0.348249 6.42308i 0.0431950 0.796684i
\(66\) −0.822406 0.779024i −0.101231 0.0958912i
\(67\) −4.17476 3.17357i −0.510028 0.387713i 0.318271 0.948000i \(-0.396898\pi\)
−0.828299 + 0.560287i \(0.810691\pi\)
\(68\) 5.50660 1.85539i 0.667774 0.224999i
\(69\) −0.0482323 0.889592i −0.00580648 0.107094i
\(70\) −1.24499 + 1.46571i −0.148804 + 0.175186i
\(71\) 0.888678 3.20073i 0.105467 0.379857i −0.891913 0.452208i \(-0.850636\pi\)
0.997379 + 0.0723513i \(0.0230503\pi\)
\(72\) 1.95723 + 0.659466i 0.230661 + 0.0777189i
\(73\) 4.37279 + 6.44938i 0.511796 + 0.754843i 0.992527 0.122025i \(-0.0389389\pi\)
−0.480731 + 0.876868i \(0.659629\pi\)
\(74\) 2.63612 1.21960i 0.306443 0.141776i
\(75\) −1.91645 2.25622i −0.221293 0.260526i
\(76\) −8.11328 + 7.68531i −0.930657 + 0.881565i
\(77\) −4.83008 + 0.525303i −0.550439 + 0.0598638i
\(78\) 0.934094 2.34440i 0.105765 0.265451i
\(79\) 0.581786 3.54874i 0.0654561 0.399264i −0.933695 0.358069i \(-0.883435\pi\)
0.999151 0.0411952i \(-0.0131166\pi\)
\(80\) 1.77516 2.61817i 0.198469 0.292720i
\(81\) 0.796093 0.605174i 0.0884548 0.0672416i
\(82\) −5.39656 0.586911i −0.595950 0.0648135i
\(83\) 6.99315 13.1905i 0.767598 1.44784i −0.122690 0.992445i \(-0.539152\pi\)
0.890288 0.455398i \(-0.150503\pi\)
\(84\) 3.47188 2.08896i 0.378813 0.227924i
\(85\) 4.21752 + 2.53760i 0.457454 + 0.275241i
\(86\) 1.15663 + 2.18163i 0.124722 + 0.235252i
\(87\) 0.668733 + 1.67839i 0.0716957 + 0.179943i
\(88\) −4.07792 + 0.897619i −0.434708 + 0.0956865i
\(89\) −4.69092 + 1.03255i −0.497236 + 0.109450i −0.456506 0.889720i \(-0.650899\pi\)
−0.0407299 + 0.999170i \(0.512968\pi\)
\(90\) 0.296196 + 0.743395i 0.0312218 + 0.0783607i
\(91\) −5.06999 9.56301i −0.531479 1.00248i
\(92\) −1.28708 0.774413i −0.134188 0.0807381i
\(93\) 3.43231 2.06516i 0.355914 0.214147i
\(94\) 2.67044 5.03698i 0.275435 0.519525i
\(95\) −9.41073 1.02348i −0.965520 0.105007i
\(96\) 4.27637 3.25081i 0.436455 0.331785i
\(97\) 0.530690 0.782708i 0.0538834 0.0794720i −0.799793 0.600276i \(-0.795057\pi\)
0.853676 + 0.520804i \(0.174368\pi\)
\(98\) 0.111020 0.677193i 0.0112147 0.0684068i
\(99\) −0.748317 + 1.87813i −0.0752087 + 0.188759i
\(100\) −4.96194 + 0.539643i −0.496194 + 0.0539643i
\(101\) 12.2346 11.5892i 1.21738 1.15317i 0.233883 0.972265i \(-0.424857\pi\)
0.983501 0.180903i \(-0.0579019\pi\)
\(102\) 1.25014 + 1.47178i 0.123782 + 0.145728i
\(103\) 4.16991 1.92920i 0.410873 0.190090i −0.203554 0.979064i \(-0.565249\pi\)
0.614427 + 0.788974i \(0.289387\pi\)
\(104\) −5.22030 7.69937i −0.511893 0.754985i
\(105\) 3.25252 + 1.09590i 0.317413 + 0.106949i
\(106\) −1.21682 + 4.38259i −0.118188 + 0.425675i
\(107\) −0.691761 + 0.814404i −0.0668751 + 0.0787314i −0.794582 0.607156i \(-0.792310\pi\)
0.727707 + 0.685888i \(0.240586\pi\)
\(108\) −0.0912809 1.68358i −0.00878351 0.162002i
\(109\) −17.1471 + 5.77752i −1.64239 + 0.553386i −0.980552 0.196261i \(-0.937120\pi\)
−0.661839 + 0.749646i \(0.730224\pi\)
\(110\) −1.28795 0.979077i −0.122802 0.0933513i
\(111\) −3.76345 3.56493i −0.357211 0.338368i
\(112\) 0.288166 5.31490i 0.0272291 0.502211i
\(113\) 4.57760 + 16.4870i 0.430624 + 1.55097i 0.787198 + 0.616701i \(0.211531\pi\)
−0.356573 + 0.934267i \(0.616055\pi\)
\(114\) −3.37059 1.55940i −0.315684 0.146051i
\(115\) −0.205846 1.25561i −0.0191952 0.117086i
\(116\) 2.97499 + 0.654844i 0.276221 + 0.0608008i
\(117\) −4.50398 −0.416393
\(118\) −1.53899 + 4.01928i −0.141675 + 0.370005i
\(119\) 8.28229 0.759236
\(120\) 2.88072 + 0.634095i 0.262973 + 0.0578847i
\(121\) 1.11834 + 6.82157i 0.101667 + 0.620143i
\(122\) 2.56287 + 1.18571i 0.232031 + 0.107349i
\(123\) 2.59185 + 9.33499i 0.233699 + 0.841708i
\(124\) 0.365644 6.74391i 0.0328358 0.605621i
\(125\) −8.25367 7.81829i −0.738231 0.699289i
\(126\) 1.07196 + 0.814886i 0.0954982 + 0.0725959i
\(127\) 11.8242 3.98403i 1.04923 0.353526i 0.258703 0.965957i \(-0.416705\pi\)
0.790524 + 0.612431i \(0.209808\pi\)
\(128\) −0.624708 11.5221i −0.0552169 1.01842i
\(129\) 2.85300 3.35881i 0.251193 0.295727i
\(130\) 0.964230 3.47284i 0.0845686 0.304589i
\(131\) 7.28948 + 2.45611i 0.636885 + 0.214591i 0.619177 0.785252i \(-0.287466\pi\)
0.0177082 + 0.999843i \(0.494363\pi\)
\(132\) 1.91293 + 2.82136i 0.166499 + 0.245568i
\(133\) −14.4564 + 6.68826i −1.25353 + 0.579946i
\(134\) −1.90222 2.23947i −0.164327 0.193461i
\(135\) 1.03686 0.982161i 0.0892383 0.0845310i
\(136\) 7.07624 0.769587i 0.606783 0.0659916i
\(137\) −7.81285 + 19.6088i −0.667497 + 1.67529i 0.0679338 + 0.997690i \(0.478359\pi\)
−0.735430 + 0.677600i \(0.763020\pi\)
\(138\) 0.0807586 0.492606i 0.00687463 0.0419334i
\(139\) −10.7649 + 15.8770i −0.913065 + 1.34667i 0.0248085 + 0.999692i \(0.492102\pi\)
−0.937873 + 0.346978i \(0.887208\pi\)
\(140\) 4.60685 3.50204i 0.389350 0.295976i
\(141\) −10.1152 1.10009i −0.851853 0.0926446i
\(142\) 0.871826 1.64444i 0.0731620 0.137998i
\(143\) 7.80236 4.69453i 0.652467 0.392576i
\(144\) −1.89782 1.14188i −0.158152 0.0951567i
\(145\) 1.20864 + 2.27974i 0.100372 + 0.189322i
\(146\) 1.61601 + 4.05589i 0.133742 + 0.335668i
\(147\) −1.19610 + 0.263281i −0.0986525 + 0.0217151i
\(148\) −8.53588 + 1.87889i −0.701645 + 0.154444i
\(149\) −0.482802 1.21174i −0.0395527 0.0992697i 0.907873 0.419244i \(-0.137705\pi\)
−0.947426 + 0.319975i \(0.896326\pi\)
\(150\) −0.776944 1.46547i −0.0634372 0.119655i
\(151\) −4.69107 2.82253i −0.381754 0.229694i 0.311722 0.950173i \(-0.399094\pi\)
−0.693476 + 0.720479i \(0.743922\pi\)
\(152\) −11.7299 + 7.05762i −0.951417 + 0.572448i
\(153\) 1.61432 3.04493i 0.130510 0.246168i
\(154\) −2.70636 0.294334i −0.218084 0.0237181i
\(155\) 4.55435 3.46213i 0.365814 0.278085i
\(156\) −4.26162 + 6.28541i −0.341202 + 0.503236i
\(157\) −1.37377 + 8.37963i −0.109639 + 0.668768i 0.873628 + 0.486595i \(0.161761\pi\)
−0.983267 + 0.182173i \(0.941687\pi\)
\(158\) 0.745809 1.87184i 0.0593334 0.148916i
\(159\) 8.06999 0.877664i 0.639992 0.0696033i
\(160\) 5.56967 5.27587i 0.440321 0.417094i
\(161\) −1.38605 1.63178i −0.109236 0.128602i
\(162\) 0.508526 0.235269i 0.0399536 0.0184845i
\(163\) 4.84373 + 7.14396i 0.379390 + 0.559559i 0.968664 0.248375i \(-0.0798965\pi\)
−0.589274 + 0.807933i \(0.700586\pi\)
\(164\) 15.4796 + 5.21568i 1.20875 + 0.407276i
\(165\) −0.772459 + 2.78215i −0.0601359 + 0.216590i
\(166\) 5.41554 6.37567i 0.420328 0.494848i
\(167\) 0.414467 + 7.64439i 0.0320724 + 0.591541i 0.969760 + 0.244061i \(0.0784797\pi\)
−0.937688 + 0.347480i \(0.887038\pi\)
\(168\) 4.70357 1.58482i 0.362888 0.122271i
\(169\) 5.80019 + 4.40919i 0.446168 + 0.339168i
\(170\) 2.00222 + 1.89661i 0.153564 + 0.145463i
\(171\) −0.358841 + 6.61843i −0.0274412 + 0.506124i
\(172\) −1.98783 7.15951i −0.151570 0.545907i
\(173\) 17.4341 + 8.06585i 1.32549 + 0.613235i 0.949610 0.313434i \(-0.101480\pi\)
0.375877 + 0.926670i \(0.377342\pi\)
\(174\) 0.163776 + 0.998988i 0.0124158 + 0.0757331i
\(175\) −6.94778 1.52932i −0.525203 0.115606i
\(176\) 4.47784 0.337530
\(177\) 7.68045 0.103523i 0.577298 0.00778125i
\(178\) −2.69130 −0.201722
\(179\) −10.5661 2.32578i −0.789749 0.173837i −0.198260 0.980150i \(-0.563529\pi\)
−0.591490 + 0.806313i \(0.701460\pi\)
\(180\) −0.389569 2.37627i −0.0290368 0.177117i
\(181\) 16.3305 + 7.55529i 1.21384 + 0.561580i 0.919110 0.394002i \(-0.128910\pi\)
0.294726 + 0.955582i \(0.404772\pi\)
\(182\) −1.62249 5.84369i −0.120267 0.433163i
\(183\) 0.272849 5.03241i 0.0201696 0.372006i
\(184\) −1.33584 1.26537i −0.0984793 0.0932845i
\(185\) −5.89387 4.48040i −0.433326 0.329406i
\(186\) 2.12696 0.716655i 0.155956 0.0525477i
\(187\) 0.377220 + 6.95742i 0.0275851 + 0.508777i
\(188\) −11.1061 + 13.0751i −0.809995 + 0.953600i
\(189\) 0.642918 2.31558i 0.0467654 0.168434i
\(190\) −5.02639 1.69359i −0.364653 0.122866i
\(191\) 4.66256 + 6.87677i 0.337371 + 0.497585i 0.958098 0.286442i \(-0.0924725\pi\)
−0.620726 + 0.784027i \(0.713162\pi\)
\(192\) −1.28866 + 0.596198i −0.0930010 + 0.0430269i
\(193\) −2.88575 3.39737i −0.207721 0.244548i 0.648429 0.761275i \(-0.275426\pi\)
−0.856150 + 0.516727i \(0.827150\pi\)
\(194\) 0.384678 0.364386i 0.0276183 0.0261614i
\(195\) −6.39480 + 0.695477i −0.457941 + 0.0498041i
\(196\) −0.764320 + 1.91830i −0.0545943 + 0.137021i
\(197\) −2.69717 + 16.4520i −0.192166 + 1.17216i 0.697855 + 0.716239i \(0.254138\pi\)
−0.890021 + 0.455920i \(0.849310\pi\)
\(198\) −0.635711 + 0.937604i −0.0451780 + 0.0666326i
\(199\) 6.75805 5.13734i 0.479066 0.364176i −0.337598 0.941290i \(-0.609614\pi\)
0.816663 + 0.577114i \(0.195821\pi\)
\(200\) −6.07817 0.661041i −0.429791 0.0467426i
\(201\) −2.45636 + 4.63319i −0.173258 + 0.326800i
\(202\) 8.09084 4.86809i 0.569269 0.342518i
\(203\) 3.72035 + 2.23846i 0.261117 + 0.157109i
\(204\) −2.72182 5.13389i −0.190565 0.359445i
\(205\) 5.12139 + 12.8537i 0.357693 + 0.897742i
\(206\) 2.51420 0.553417i 0.175173 0.0385584i
\(207\) −0.870070 + 0.191517i −0.0604740 + 0.0133113i
\(208\) 3.69238 + 9.26718i 0.256021 + 0.642564i
\(209\) −6.27680 11.8393i −0.434176 0.818942i
\(210\) 1.64782 + 0.991459i 0.113710 + 0.0684172i
\(211\) −11.3965 + 6.85704i −0.784567 + 0.472058i −0.850635 0.525757i \(-0.823782\pi\)
0.0660680 + 0.997815i \(0.478955\pi\)
\(212\) 6.41094 12.0923i 0.440305 0.830503i
\(213\) −3.30234 0.359151i −0.226272 0.0246086i
\(214\) −0.476636 + 0.362329i −0.0325822 + 0.0247683i
\(215\) 3.53208 5.20943i 0.240886 0.355280i
\(216\) 0.334135 2.03813i 0.0227350 0.138677i
\(217\) 3.56311 8.94272i 0.241879 0.607071i
\(218\) −10.0790 + 1.09616i −0.682636 + 0.0742411i
\(219\) 5.65698 5.35858i 0.382263 0.362099i
\(220\) 3.15166 + 3.71042i 0.212485 + 0.250157i
\(221\) −14.0878 + 6.51771i −0.947648 + 0.438429i
\(222\) −1.63001 2.40409i −0.109399 0.161352i
\(223\) 16.4848 + 5.55436i 1.10390 + 0.371948i 0.811503 0.584349i \(-0.198650\pi\)
0.292399 + 0.956296i \(0.405547\pi\)
\(224\) 3.45356 12.4386i 0.230751 0.831090i
\(225\) −1.91645 + 2.25622i −0.127763 + 0.150415i
\(226\) 0.519049 + 9.57329i 0.0345266 + 0.636806i
\(227\) −12.4577 + 4.19748i −0.826845 + 0.278596i −0.700737 0.713420i \(-0.747145\pi\)
−0.126108 + 0.992017i \(0.540249\pi\)
\(228\) 8.89665 + 6.76306i 0.589195 + 0.447894i
\(229\) −13.1373 12.4444i −0.868140 0.822346i 0.117172 0.993112i \(-0.462617\pi\)
−0.985312 + 0.170766i \(0.945376\pi\)
\(230\) 0.0385969 0.711878i 0.00254500 0.0469398i
\(231\) 1.29980 + 4.68147i 0.0855207 + 0.308018i
\(232\) 3.38660 + 1.56681i 0.222341 + 0.102866i
\(233\) 1.10943 + 6.76725i 0.0726815 + 0.443337i 0.997949 + 0.0640211i \(0.0203925\pi\)
−0.925267 + 0.379316i \(0.876159\pi\)
\(234\) −2.46464 0.542507i −0.161118 0.0354648i
\(235\) −14.5315 −0.947933
\(236\) 7.12269 10.8162i 0.463648 0.704075i
\(237\) −3.59611 −0.233593
\(238\) 4.53218 + 0.997607i 0.293777 + 0.0646653i
\(239\) −1.95272 11.9111i −0.126311 0.770464i −0.971683 0.236287i \(-0.924070\pi\)
0.845372 0.534178i \(-0.179379\pi\)
\(240\) −2.87087 1.32821i −0.185314 0.0857353i
\(241\) −4.59621 16.5541i −0.296068 1.06634i −0.950628 0.310331i \(-0.899560\pi\)
0.654560 0.756010i \(-0.272854\pi\)
\(242\) −0.209693 + 3.86756i −0.0134796 + 0.248616i
\(243\) −0.725995 0.687699i −0.0465726 0.0441159i
\(244\) −6.76469 5.14238i −0.433065 0.329207i
\(245\) −1.65758 + 0.558504i −0.105899 + 0.0356815i
\(246\) 0.293886 + 5.42042i 0.0187375 + 0.345593i
\(247\) 19.3264 22.7529i 1.22971 1.44773i
\(248\) 2.21330 7.97158i 0.140545 0.506196i
\(249\) −14.1481 4.76704i −0.896598 0.302099i
\(250\) −3.57480 5.27243i −0.226090 0.333458i
\(251\) −18.3150 + 8.47341i −1.15603 + 0.534837i −0.901735 0.432290i \(-0.857706\pi\)
−0.254296 + 0.967126i \(0.581844\pi\)
\(252\) −2.62313 3.08819i −0.165242 0.194538i
\(253\) 1.30763 1.23865i 0.0822098 0.0778732i
\(254\) 6.95023 0.755883i 0.436096 0.0474283i
\(255\) 1.82185 4.57249i 0.114089 0.286341i
\(256\) 0.586565 3.57789i 0.0366603 0.223618i
\(257\) 14.8413 21.8893i 0.925777 1.36542i −0.00506078 0.999987i \(-0.501611\pi\)
0.930838 0.365432i \(-0.119079\pi\)
\(258\) 1.96577 1.49434i 0.122384 0.0930336i
\(259\) −12.3847 1.34692i −0.769547 0.0836933i
\(260\) −5.08014 + 9.58216i −0.315057 + 0.594260i
\(261\) 1.54809 0.931458i 0.0958246 0.0576558i
\(262\) 3.69306 + 2.22204i 0.228158 + 0.137278i
\(263\) 0.219463 + 0.413952i 0.0135327 + 0.0255254i 0.890186 0.455597i \(-0.150574\pi\)
−0.876654 + 0.481122i \(0.840229\pi\)
\(264\) 1.54553 + 3.87899i 0.0951207 + 0.238735i
\(265\) 11.3223 2.49224i 0.695526 0.153097i
\(266\) −8.71635 + 1.91861i −0.534434 + 0.117638i
\(267\) 1.77785 + 4.46207i 0.108803 + 0.273074i
\(268\) 4.14155 + 7.81179i 0.252985 + 0.477181i
\(269\) 0.635665 + 0.382467i 0.0387572 + 0.0233194i 0.534801 0.844978i \(-0.320387\pi\)
−0.496043 + 0.868298i \(0.665214\pi\)
\(270\) 0.685683 0.412562i 0.0417293 0.0251077i
\(271\) 12.5424 23.6574i 0.761894 1.43708i −0.133145 0.991097i \(-0.542508\pi\)
0.895039 0.445988i \(-0.147148\pi\)
\(272\) −7.58853 0.825302i −0.460122 0.0500413i
\(273\) −8.61680 + 6.55032i −0.521513 + 0.396444i
\(274\) −6.63718 + 9.78911i −0.400967 + 0.591382i
\(275\) 0.968247 5.90604i 0.0583875 0.356148i
\(276\) −0.555984 + 1.39541i −0.0334663 + 0.0839941i
\(277\) 16.3190 1.77480i 0.980513 0.106637i 0.396199 0.918165i \(-0.370329\pi\)
0.584314 + 0.811528i \(0.301364\pi\)
\(278\) −7.80308 + 7.39147i −0.467997 + 0.443311i
\(279\) −2.59324 3.05299i −0.155253 0.182778i
\(280\) 6.43346 2.97644i 0.384473 0.177876i
\(281\) −13.5969 20.0539i −0.811124 1.19632i −0.977641 0.210279i \(-0.932563\pi\)
0.166518 0.986038i \(-0.446748\pi\)
\(282\) −5.40266 1.82037i −0.321724 0.108401i
\(283\) 4.77626 17.2025i 0.283919 1.02258i −0.674747 0.738049i \(-0.735747\pi\)
0.958666 0.284535i \(-0.0918391\pi\)
\(284\) −3.62584 + 4.26867i −0.215154 + 0.253299i
\(285\) 0.512491 + 9.45233i 0.0303573 + 0.559908i
\(286\) 4.83501 1.62911i 0.285900 0.0963311i
\(287\) 18.5349 + 14.0898i 1.09408 + 0.831697i
\(288\) −3.89983 3.69411i −0.229800 0.217678i
\(289\) −0.277322 + 5.11490i −0.0163130 + 0.300876i
\(290\) 0.386788 + 1.39309i 0.0227130 + 0.0818048i
\(291\) −0.858253 0.397070i −0.0503117 0.0232767i
\(292\) −2.12545 12.9647i −0.124383 0.758701i
\(293\) −25.4709 5.60657i −1.48802 0.327539i −0.604758 0.796409i \(-0.706730\pi\)
−0.883267 + 0.468870i \(0.844661\pi\)
\(294\) −0.686233 −0.0400219
\(295\) 10.8888 1.33295i 0.633971 0.0776074i
\(296\) −10.7064 −0.622298
\(297\) 1.97446 + 0.434611i 0.114570 + 0.0252187i
\(298\) −0.118240 0.721234i −0.00684948 0.0417800i
\(299\) 3.64173 + 1.68484i 0.210606 + 0.0974369i
\(300\) 1.33529 + 4.80927i 0.0770928 + 0.277663i
\(301\) 0.573369 10.5752i 0.0330484 0.609543i
\(302\) −2.22704 2.10957i −0.128152 0.121392i
\(303\) −13.4159 10.1985i −0.770721 0.585887i
\(304\) 13.9120 4.68749i 0.797906 0.268846i
\(305\) −0.389679 7.18721i −0.0223130 0.411538i
\(306\) 1.25014 1.47178i 0.0714657 0.0841359i
\(307\) 5.24308 18.8839i 0.299239 1.07776i −0.649153 0.760658i \(-0.724876\pi\)
0.948391 0.317102i \(-0.102710\pi\)
\(308\) 7.76296 + 2.61565i 0.442336 + 0.149040i
\(309\) −2.57840 3.80286i −0.146680 0.216337i
\(310\) 2.90922 1.34595i 0.165232 0.0764447i
\(311\) 13.6509 + 16.0711i 0.774074 + 0.911310i 0.997995 0.0632969i \(-0.0201615\pi\)
−0.223921 + 0.974607i \(0.571886\pi\)
\(312\) −6.75339 + 6.39715i −0.382335 + 0.362167i
\(313\) 4.75557 0.517200i 0.268801 0.0292339i 0.0272741 0.999628i \(-0.491317\pi\)
0.241527 + 0.970394i \(0.422352\pi\)
\(314\) −1.76108 + 4.41997i −0.0993834 + 0.249434i
\(315\) 0.555265 3.38697i 0.0312857 0.190834i
\(316\) −3.40260 + 5.01846i −0.191411 + 0.282311i
\(317\) 2.48160 1.88647i 0.139381 0.105954i −0.533161 0.846014i \(-0.678996\pi\)
0.672541 + 0.740060i \(0.265203\pi\)
\(318\) 4.52172 + 0.491767i 0.253565 + 0.0275769i
\(319\) −1.71094 + 3.22718i −0.0957944 + 0.180687i
\(320\) −1.73759 + 1.04548i −0.0971345 + 0.0584439i
\(321\) 0.915590 + 0.550892i 0.0511033 + 0.0307478i
\(322\) −0.561914 1.05988i −0.0313142 0.0590649i
\(323\) 8.45513 + 21.2208i 0.470456 + 1.18076i
\(324\) −1.64663 + 0.362451i −0.0914795 + 0.0201362i
\(325\) 13.0214 2.86622i 0.722295 0.158989i
\(326\) 1.79006 + 4.49270i 0.0991420 + 0.248828i
\(327\) 8.47549 + 15.9865i 0.468696 + 0.884054i
\(328\) 17.1451 + 10.3159i 0.946679 + 0.569598i
\(329\) −20.9518 + 12.6063i −1.15511 + 0.695008i
\(330\) −0.757811 + 1.42938i −0.0417161 + 0.0786850i
\(331\) −21.0019 2.28409i −1.15437 0.125545i −0.489153 0.872198i \(-0.662694\pi\)
−0.665214 + 0.746653i \(0.731660\pi\)
\(332\) −20.0393 + 15.2335i −1.09980 + 0.836045i
\(333\) −2.90911 + 4.29061i −0.159418 + 0.235124i
\(334\) −0.693970 + 4.23303i −0.0379724 + 0.231621i
\(335\) −2.77214 + 6.95755i −0.151458 + 0.380132i
\(336\) −5.29151 + 0.575486i −0.288675 + 0.0313953i
\(337\) −12.1562 + 11.5150i −0.662192 + 0.627262i −0.943114 0.332469i \(-0.892118\pi\)
0.280922 + 0.959731i \(0.409360\pi\)
\(338\) 2.64285 + 3.11140i 0.143752 + 0.169238i
\(339\) 15.5293 7.18460i 0.843433 0.390214i
\(340\) −4.65722 6.86888i −0.252573 0.372517i
\(341\) 7.67449 + 2.58584i 0.415597 + 0.140031i
\(342\) −0.993557 + 3.57847i −0.0537254 + 0.193501i
\(343\) −12.7959 + 15.0645i −0.690914 + 0.813407i
\(344\) −0.492765 9.08852i −0.0265681 0.490020i
\(345\) −1.20576 + 0.406269i −0.0649161 + 0.0218728i
\(346\) 8.56860 + 6.51368i 0.460651 + 0.350178i
\(347\) 13.8420 + 13.1118i 0.743077 + 0.703880i 0.962359 0.271781i \(-0.0876128\pi\)
−0.219282 + 0.975662i \(0.570371\pi\)
\(348\) 0.164918 3.04174i 0.00884055 0.163054i
\(349\) 5.36531 + 19.3241i 0.287198 + 1.03439i 0.956579 + 0.291475i \(0.0941460\pi\)
−0.669380 + 0.742920i \(0.733440\pi\)
\(350\) −3.61771 1.67373i −0.193375 0.0894647i
\(351\) 0.728663 + 4.44464i 0.0388931 + 0.237238i
\(352\) 10.6062 + 2.33460i 0.565311 + 0.124434i
\(353\) 28.9401 1.54033 0.770163 0.637847i \(-0.220175\pi\)
0.770163 + 0.637847i \(0.220175\pi\)
\(354\) 4.21531 + 0.868466i 0.224041 + 0.0461585i
\(355\) −4.74416 −0.251794
\(356\) 7.90912 + 1.74093i 0.419182 + 0.0922690i
\(357\) −1.33992 8.17318i −0.0709163 0.432571i
\(358\) −5.50178 2.54539i −0.290778 0.134528i
\(359\) −8.64843 31.1488i −0.456446 1.64397i −0.730984 0.682395i \(-0.760938\pi\)
0.274537 0.961577i \(-0.411475\pi\)
\(360\) 0.159693 2.94536i 0.00841655 0.155234i
\(361\) −18.1008 17.1460i −0.952673 0.902420i
\(362\) 8.02621 + 6.10137i 0.421848 + 0.320681i
\(363\) 6.55078 2.20722i 0.343827 0.115849i
\(364\) 0.988012 + 18.2228i 0.0517859 + 0.955135i
\(365\) 7.20441 8.48169i 0.377096 0.443952i
\(366\) 0.755464 2.72094i 0.0394887 0.142226i
\(367\) 11.2224 + 3.78128i 0.585806 + 0.197381i 0.596570 0.802561i \(-0.296530\pi\)
−0.0107640 + 0.999942i \(0.503426\pi\)
\(368\) 1.10734 + 1.63321i 0.0577243 + 0.0851370i
\(369\) 8.79270 4.06794i 0.457730 0.211768i
\(370\) −2.68553 3.16165i −0.139614 0.164367i
\(371\) 14.1627 13.4156i 0.735291 0.696505i
\(372\) −6.71422 + 0.730216i −0.348116 + 0.0378599i
\(373\) −3.10896 + 7.80290i −0.160976 + 0.404019i −0.987235 0.159271i \(-0.949085\pi\)
0.826259 + 0.563291i \(0.190465\pi\)
\(374\) −0.631606 + 3.85263i −0.0326596 + 0.199215i
\(375\) −6.38000 + 9.40980i −0.329462 + 0.485920i
\(376\) −16.7295 + 12.7174i −0.862758 + 0.655852i
\(377\) −8.08969 0.879807i −0.416640 0.0453124i
\(378\) 0.630727 1.18968i 0.0324411 0.0611904i
\(379\) −26.1073 + 15.7083i −1.34104 + 0.806880i −0.991508 0.130043i \(-0.958488\pi\)
−0.349536 + 0.936923i \(0.613661\pi\)
\(380\) 13.6759 + 8.22850i 0.701558 + 0.422113i
\(381\) −5.84449 11.0239i −0.299422 0.564770i
\(382\) 1.72310 + 4.32467i 0.0881617 + 0.221269i
\(383\) −9.14645 + 2.01329i −0.467362 + 0.102874i −0.442407 0.896814i \(-0.645875\pi\)
−0.0249551 + 0.999689i \(0.507944\pi\)
\(384\) −11.2692 + 2.48054i −0.575079 + 0.126584i
\(385\) 2.56836 + 6.44609i 0.130896 + 0.328523i
\(386\) −1.16990 2.20667i −0.0595466 0.112317i
\(387\) −3.77613 2.27202i −0.191952 0.115493i
\(388\) −1.36619 + 0.822010i −0.0693579 + 0.0417312i
\(389\) 6.11438 11.5329i 0.310011 0.584744i −0.678728 0.734390i \(-0.737469\pi\)
0.988740 + 0.149646i \(0.0478134\pi\)
\(390\) −3.58309 0.389684i −0.181437 0.0197324i
\(391\) −2.44431 + 1.85812i −0.123614 + 0.0939690i
\(392\) −1.41952 + 2.09363i −0.0716964 + 0.105744i
\(393\) 1.24445 7.59081i 0.0627742 0.382906i
\(394\) −3.45759 + 8.67789i −0.174191 + 0.437186i
\(395\) −5.10580 + 0.555290i −0.256901 + 0.0279397i
\(396\) 2.47472 2.34418i 0.124359 0.117799i
\(397\) 25.0283 + 29.4656i 1.25614 + 1.47884i 0.812866 + 0.582451i \(0.197906\pi\)
0.443271 + 0.896388i \(0.353818\pi\)
\(398\) 4.31689 1.99721i 0.216386 0.100111i
\(399\) 8.93894 + 13.1840i 0.447507 + 0.660023i
\(400\) 6.21342 + 2.09354i 0.310671 + 0.104677i
\(401\) 5.62319 20.2529i 0.280809 1.01138i −0.679782 0.733414i \(-0.737926\pi\)
0.960591 0.277967i \(-0.0896606\pi\)
\(402\) −1.90222 + 2.23947i −0.0948743 + 0.111695i
\(403\) 0.976752 + 18.0151i 0.0486555 + 0.897398i
\(404\) −26.9261 + 9.07247i −1.33963 + 0.451372i
\(405\) −1.13697 0.864300i −0.0564964 0.0429474i
\(406\) 1.76620 + 1.67303i 0.0876550 + 0.0830312i
\(407\) 0.567392 10.4649i 0.0281246 0.518727i
\(408\) −1.90426 6.85852i −0.0942748 0.339547i
\(409\) −5.32557 2.46387i −0.263333 0.121831i 0.283781 0.958889i \(-0.408411\pi\)
−0.547113 + 0.837059i \(0.684273\pi\)
\(410\) 1.25425 + 7.65059i 0.0619430 + 0.377836i
\(411\) 20.6144 + 4.53758i 1.01683 + 0.223822i
\(412\) −7.74665 −0.381650
\(413\) 14.5433 11.3681i 0.715630 0.559385i
\(414\) −0.499182 −0.0245334
\(415\) −20.8237 4.58364i −1.02220 0.225002i
\(416\) 3.91415 + 23.8753i 0.191907 + 1.17058i
\(417\) 17.4094 + 8.05445i 0.852543 + 0.394428i
\(418\) −2.00870 7.23467i −0.0982485 0.353859i
\(419\) 1.60499 29.6022i 0.0784088 1.44616i −0.649433 0.760419i \(-0.724994\pi\)
0.727841 0.685745i \(-0.240524\pi\)
\(420\) −4.20121 3.97960i −0.204998 0.194185i
\(421\) −10.4025 7.90780i −0.506989 0.385403i 0.320180 0.947357i \(-0.396257\pi\)
−0.827168 + 0.561954i \(0.810050\pi\)
\(422\) −7.06224 + 2.37955i −0.343785 + 0.115835i
\(423\) 0.550855 + 10.1599i 0.0267835 + 0.493992i
\(424\) 10.8538 12.7781i 0.527107 0.620558i
\(425\) −2.72941 + 9.83043i −0.132396 + 0.476846i
\(426\) −1.76382 0.594301i −0.0854575 0.0287940i
\(427\) −6.79684 10.0246i −0.328922 0.485124i
\(428\) 1.63511 0.756480i 0.0790358 0.0365659i
\(429\) −5.89497 6.94009i −0.284612 0.335071i
\(430\) 2.56028 2.42523i 0.123468 0.116955i
\(431\) 17.9226 1.94920i 0.863300 0.0938895i 0.334254 0.942483i \(-0.391516\pi\)
0.529045 + 0.848593i \(0.322550\pi\)
\(432\) −0.819805 + 2.05756i −0.0394429 + 0.0989942i
\(433\) 0.936511 5.71247i 0.0450059 0.274524i −0.954731 0.297471i \(-0.903857\pi\)
0.999737 + 0.0229476i \(0.00730508\pi\)
\(434\) 3.02693 4.46439i 0.145297 0.214298i
\(435\) 2.05417 1.56154i 0.0984901 0.0748702i
\(436\) 30.3289 + 3.29847i 1.45249 + 0.157968i
\(437\) 2.76596 5.21715i 0.132314 0.249570i
\(438\) 3.74102 2.25090i 0.178753 0.107552i
\(439\) −30.2242 18.1853i −1.44252 0.867937i −0.442932 0.896555i \(-0.646062\pi\)
−0.999590 + 0.0286184i \(0.990889\pi\)
\(440\) 2.79333 + 5.26878i 0.133167 + 0.251179i
\(441\) 0.453320 + 1.13775i 0.0215867 + 0.0541784i
\(442\) −8.49409 + 1.86969i −0.404023 + 0.0889321i
\(443\) −34.1842 + 7.52451i −1.62414 + 0.357500i −0.931488 0.363771i \(-0.881489\pi\)
−0.692652 + 0.721271i \(0.743558\pi\)
\(444\) 3.23509 + 8.11947i 0.153531 + 0.385333i
\(445\) 3.21322 + 6.06078i 0.152321 + 0.287308i
\(446\) 8.35165 + 5.02502i 0.395462 + 0.237942i
\(447\) −1.11767 + 0.672479i −0.0528640 + 0.0318072i
\(448\) −1.59833 + 3.01477i −0.0755140 + 0.142435i
\(449\) 28.7741 + 3.12937i 1.35793 + 0.147684i 0.757942 0.652322i \(-0.226205\pi\)
0.599992 + 0.800006i \(0.295170\pi\)
\(450\) −1.32047 + 1.00380i −0.0622476 + 0.0473194i
\(451\) −10.9918 + 16.2117i −0.517584 + 0.763379i
\(452\) 4.66733 28.4694i 0.219533 1.33909i
\(453\) −2.02641 + 5.08591i −0.0952091 + 0.238957i
\(454\) −7.32259 + 0.796380i −0.343666 + 0.0373759i
\(455\) −11.2228 + 10.6308i −0.526132 + 0.498379i
\(456\) 8.86232 + 10.4335i 0.415016 + 0.488595i
\(457\) 15.8877 7.35045i 0.743197 0.343840i −0.0114816 0.999934i \(-0.503655\pi\)
0.754679 + 0.656094i \(0.227793\pi\)
\(458\) −5.68999 8.39211i −0.265876 0.392138i
\(459\) −3.26598 1.10044i −0.152443 0.0513640i
\(460\) −0.573921 + 2.06708i −0.0267592 + 0.0963780i
\(461\) 14.7299 17.3414i 0.686039 0.807667i −0.303362 0.952875i \(-0.598109\pi\)
0.989401 + 0.145208i \(0.0463851\pi\)
\(462\) 0.147383 + 2.71832i 0.00685688 + 0.126468i
\(463\) −18.4373 + 6.21224i −0.856852 + 0.288707i −0.713234 0.700926i \(-0.752770\pi\)
−0.143618 + 0.989633i \(0.545874\pi\)
\(464\) −3.18566 2.42168i −0.147891 0.112424i
\(465\) −4.15333 3.93425i −0.192606 0.182446i
\(466\) −0.208023 + 3.83676i −0.00963648 + 0.177734i
\(467\) 9.16670 + 33.0155i 0.424184 + 1.52777i 0.799379 + 0.600827i \(0.205162\pi\)
−0.375195 + 0.926946i \(0.622424\pi\)
\(468\) 6.89206 + 3.18861i 0.318586 + 0.147393i
\(469\) 2.03884 + 12.4364i 0.0941450 + 0.574259i
\(470\) −7.95185 1.75033i −0.366791 0.0807369i
\(471\) 8.49150 0.391268
\(472\) 11.3692 11.0640i 0.523312 0.509263i
\(473\) 8.90964 0.409666
\(474\) −1.96784 0.433154i −0.0903859 0.0198954i
\(475\) −3.17436 19.3628i −0.145650 0.888425i
\(476\) −12.6737 5.86348i −0.580898 0.268752i
\(477\) −2.17168 7.82169i −0.0994345 0.358131i
\(478\) 0.366143 6.75311i 0.0167470 0.308880i
\(479\) 15.2089 + 14.4067i 0.694913 + 0.658257i 0.951282 0.308322i \(-0.0997675\pi\)
−0.256369 + 0.966579i \(0.582526\pi\)
\(480\) −6.10744 4.64276i −0.278765 0.211912i
\(481\) 22.1257 7.45503i 1.00885 0.339920i
\(482\) −0.521159 9.61222i −0.0237382 0.437825i
\(483\) −1.38605 + 1.63178i −0.0630673 + 0.0742486i
\(484\) 3.11806 11.2302i 0.141730 0.510465i
\(485\) −1.27987 0.431239i −0.0581160 0.0195816i
\(486\) −0.314440 0.463765i −0.0142633 0.0210368i
\(487\) −13.2933 + 6.15013i −0.602377 + 0.278689i −0.697282 0.716797i \(-0.745607\pi\)
0.0949050 + 0.995486i \(0.469745\pi\)
\(488\) −6.73858 7.93327i −0.305041 0.359122i
\(489\) 6.26623 5.93568i 0.283369 0.268421i
\(490\) −0.974321 + 0.105964i −0.0440153 + 0.00478696i
\(491\) −7.40858 + 18.5941i −0.334344 + 0.839141i 0.661657 + 0.749806i \(0.269853\pi\)
−0.996002 + 0.0893348i \(0.971526\pi\)
\(492\) 2.64265 16.1195i 0.119140 0.726722i
\(493\) 3.49430 5.15371i 0.157376 0.232112i
\(494\) 13.3163 10.1228i 0.599128 0.455445i
\(495\) 2.87047 + 0.312182i 0.129018 + 0.0140315i
\(496\) −4.15576 + 7.83859i −0.186599 + 0.351963i
\(497\) −6.84021 + 4.11562i −0.306825 + 0.184611i
\(498\) −7.16782 4.31273i −0.321198 0.193258i
\(499\) 10.4247 + 19.6630i 0.466673 + 0.880238i 0.999423 + 0.0339657i \(0.0108137\pi\)
−0.532750 + 0.846273i \(0.678841\pi\)
\(500\) 7.09492 + 17.8069i 0.317294 + 0.796349i
\(501\) 7.47663 1.64573i 0.334031 0.0735258i
\(502\) −11.0428 + 2.43071i −0.492865 + 0.108488i
\(503\) 0.851521 + 2.13716i 0.0379674 + 0.0952911i 0.946738 0.322005i \(-0.104357\pi\)
−0.908770 + 0.417297i \(0.862978\pi\)
\(504\) −2.32489 4.38521i −0.103559 0.195333i
\(505\) −20.6228 12.4083i −0.917701 0.552163i
\(506\) 0.864746 0.520301i 0.0384427 0.0231302i
\(507\) 3.41274 6.43711i 0.151565 0.285882i
\(508\) −20.9141 2.27454i −0.927913 0.100917i
\(509\) 15.8716 12.0653i 0.703498 0.534785i −0.191148 0.981561i \(-0.561221\pi\)
0.894646 + 0.446776i \(0.147428\pi\)
\(510\) 1.54770 2.28269i 0.0685333 0.101079i
\(511\) 3.02947 18.4790i 0.134016 0.817461i
\(512\) −7.79010 + 19.5517i −0.344277 + 0.864070i
\(513\) 6.58930 0.716629i 0.290924 0.0316399i
\(514\) 10.7580 10.1905i 0.474513 0.449483i
\(515\) −4.24806 5.00121i −0.187192 0.220380i
\(516\) −6.74360 + 3.11992i −0.296870 + 0.137347i
\(517\) −11.5440 17.0261i −0.507705 0.748809i
\(518\) −6.61483 2.22879i −0.290639 0.0979276i
\(519\) 5.13908 18.5093i 0.225581 0.812468i
\(520\) −8.60074 + 10.1256i −0.377167 + 0.444036i
\(521\) −1.25351 23.1197i −0.0549174 1.01289i −0.888029 0.459787i \(-0.847926\pi\)
0.833112 0.553105i \(-0.186557\pi\)
\(522\) 0.959332 0.323237i 0.0419888 0.0141477i
\(523\) −26.0967 19.8382i −1.14113 0.867464i −0.148531 0.988908i \(-0.547455\pi\)
−0.992598 + 0.121444i \(0.961248\pi\)
\(524\) −9.41567 8.91900i −0.411326 0.389628i
\(525\) −0.385150 + 7.10367i −0.0168093 + 0.310030i
\(526\) 0.0702324 + 0.252954i 0.00306228 + 0.0110293i
\(527\) −12.5293 5.79665i −0.545783 0.252506i
\(528\) −0.724433 4.41885i −0.0315269 0.192306i
\(529\) −21.6871 4.77370i −0.942919 0.207552i
\(530\) 6.49593 0.282165
\(531\) −1.34472 7.56252i −0.0583558 0.328185i
\(532\) 26.8565 1.16438
\(533\) −42.6149 9.38025i −1.84586 0.406304i
\(534\) 0.435404 + 2.65585i 0.0188418 + 0.114930i
\(535\) 1.38503 + 0.640784i 0.0598801 + 0.0277035i
\(536\) 2.89754 + 10.4360i 0.125155 + 0.450766i
\(537\) −0.585732 + 10.8032i −0.0252762 + 0.466192i
\(538\) 0.301776 + 0.285857i 0.0130105 + 0.0123242i
\(539\) −1.97118 1.49845i −0.0849047 0.0645429i
\(540\) −2.28194 + 0.768875i −0.0981990 + 0.0330871i
\(541\) 2.34921 + 43.3287i 0.101001 + 1.86285i 0.410390 + 0.911910i \(0.365393\pi\)
−0.309389 + 0.950935i \(0.600125\pi\)
\(542\) 9.71289 11.4349i 0.417204 0.491171i
\(543\) 4.81378 17.3377i 0.206579 0.744030i
\(544\) −17.5439 5.91121i −0.752187 0.253441i
\(545\) 14.5021 + 21.3891i 0.621203 + 0.916206i
\(546\) −5.50422 + 2.54652i −0.235559 + 0.108981i
\(547\) −23.6132 27.7996i −1.00963 1.18863i −0.981975 0.189009i \(-0.939473\pi\)
−0.0276529 0.999618i \(-0.508803\pi\)
\(548\) 25.8375 24.4745i 1.10372 1.04550i
\(549\) −5.01026 + 0.544898i −0.213833 + 0.0232557i
\(550\) 1.24122 3.11524i 0.0529260 0.132834i
\(551\) −1.93737 + 11.8174i −0.0825345 + 0.503438i
\(552\) −1.03259 + 1.52296i −0.0439499 + 0.0648213i
\(553\) −6.87992 + 5.22998i −0.292564 + 0.222401i
\(554\) 9.14374 + 0.994441i 0.388480 + 0.0422498i
\(555\) −3.46786 + 6.54107i −0.147202 + 0.277653i
\(556\) 27.7128 16.6742i 1.17528 0.707145i
\(557\) 2.18867 + 1.31688i 0.0927371 + 0.0557981i 0.561167 0.827703i \(-0.310353\pi\)
−0.468430 + 0.883501i \(0.655180\pi\)
\(558\) −1.05132 1.98300i −0.0445058 0.0839469i
\(559\) 7.34681 + 18.4391i 0.310737 + 0.779891i
\(560\) −7.42408 + 1.63416i −0.313725 + 0.0690560i
\(561\) 6.80474 1.49784i 0.287296 0.0632387i
\(562\) −5.02489 12.6115i −0.211962 0.531985i
\(563\) −7.86198 14.8293i −0.331343 0.624979i 0.660733 0.750621i \(-0.270246\pi\)
−0.992076 + 0.125642i \(0.959901\pi\)
\(564\) 14.6996 + 8.84447i 0.618966 + 0.372419i
\(565\) 20.9392 12.5987i 0.880920 0.530032i
\(566\) 4.68569 8.83814i 0.196954 0.371495i
\(567\) −2.38909 0.259829i −0.100332 0.0109118i
\(568\) −5.46173 + 4.15190i −0.229169 + 0.174210i
\(569\) −9.83943 + 14.5121i −0.412490 + 0.608378i −0.976010 0.217725i \(-0.930137\pi\)
0.563520 + 0.826103i \(0.309447\pi\)
\(570\) −0.858099 + 5.23417i −0.0359418 + 0.219235i
\(571\) −8.90993 + 22.3622i −0.372869 + 0.935831i 0.616094 + 0.787672i \(0.288714\pi\)
−0.988964 + 0.148159i \(0.952665\pi\)
\(572\) −15.2628 + 1.65993i −0.638171 + 0.0694052i
\(573\) 6.03186 5.71368i 0.251984 0.238692i
\(574\) 8.44539 + 9.94268i 0.352504 + 0.415000i
\(575\) 2.39357 1.10738i 0.0998186 0.0461810i
\(576\) 0.796826 + 1.17523i 0.0332011 + 0.0489679i
\(577\) −1.24792 0.420473i −0.0519516 0.0175045i 0.293206 0.956049i \(-0.405278\pi\)
−0.345157 + 0.938545i \(0.612174\pi\)
\(578\) −0.767847 + 2.76554i −0.0319382 + 0.115031i
\(579\) −2.88575 + 3.39737i −0.119928 + 0.141190i
\(580\) −0.235534 4.34416i −0.00978000 0.180382i
\(581\) −34.0004 + 11.4561i −1.41057 + 0.475277i
\(582\) −0.421820 0.320659i −0.0174850 0.0132918i
\(583\) 11.9147 + 11.2862i 0.493455 + 0.467425i
\(584\) 0.871269 16.0696i 0.0360534 0.664965i
\(585\) 1.72088 + 6.19804i 0.0711496 + 0.256258i
\(586\) −13.2627 6.13597i −0.547876 0.253475i
\(587\) 1.42230 + 8.67567i 0.0587048 + 0.358083i 0.999801 + 0.0199447i \(0.00634901\pi\)
−0.941096 + 0.338139i \(0.890203\pi\)
\(588\) 2.01668 + 0.443905i 0.0831665 + 0.0183063i
\(589\) 26.5504 1.09399
\(590\) 6.11905 + 0.582157i 0.251917 + 0.0239670i
\(591\) 16.6717 0.685781
\(592\) 11.2131 + 2.46819i 0.460855 + 0.101442i
\(593\) 0.467848 + 2.85375i 0.0192122 + 0.117189i 0.994692 0.102902i \(-0.0328128\pi\)
−0.975479 + 0.220091i \(0.929364\pi\)
\(594\) 1.02810 + 0.475649i 0.0421834 + 0.0195161i
\(595\) −3.16449 11.3975i −0.129732 0.467251i
\(596\) −0.119065 + 2.19603i −0.00487710 + 0.0899528i
\(597\) −6.16299 5.83790i −0.252234 0.238929i
\(598\) 1.78986 + 1.36062i 0.0731928 + 0.0556397i
\(599\) −10.9897 + 3.70285i −0.449026 + 0.151294i −0.534724 0.845027i \(-0.679584\pi\)
0.0856984 + 0.996321i \(0.472688\pi\)
\(600\) 0.331006 + 6.10504i 0.0135133 + 0.249237i
\(601\) −14.6719 + 17.2731i −0.598480 + 0.704585i −0.975096 0.221784i \(-0.928812\pi\)
0.376616 + 0.926370i \(0.377088\pi\)
\(602\) 1.58754 5.71781i 0.0647034 0.233040i
\(603\) 4.96955 + 1.67444i 0.202376 + 0.0681883i
\(604\) 5.18014 + 7.64014i 0.210777 + 0.310873i
\(605\) 8.96006 4.14536i 0.364278 0.168533i
\(606\) −6.11292 7.19668i −0.248320 0.292345i
\(607\) −22.5708 + 21.3802i −0.916120 + 0.867795i −0.991599 0.129352i \(-0.958710\pi\)
0.0754785 + 0.997147i \(0.475952\pi\)
\(608\) 35.3957 3.84951i 1.43549 0.156118i
\(609\) 1.60709 4.03348i 0.0651224 0.163445i
\(610\) 0.652467 3.97987i 0.0264176 0.161140i
\(611\) 25.7177 37.9307i 1.04042 1.53451i
\(612\) −4.62592 + 3.51653i −0.186992 + 0.142147i
\(613\) −28.9771 3.15145i −1.17038 0.127286i −0.497785 0.867300i \(-0.665853\pi\)
−0.672591 + 0.740014i \(0.734819\pi\)
\(614\) 5.14366 9.70197i 0.207581 0.391540i
\(615\) 11.8558 7.13342i 0.478073 0.287647i
\(616\) 8.59821 + 5.17337i 0.346432 + 0.208441i
\(617\) 9.74943 + 18.3894i 0.392497 + 0.740329i 0.998478 0.0551508i \(-0.0175640\pi\)
−0.605981 + 0.795479i \(0.707219\pi\)
\(618\) −0.952879 2.39155i −0.0383304 0.0962021i
\(619\) 11.9313 2.62629i 0.479561 0.105559i 0.0313899 0.999507i \(-0.490007\pi\)
0.448171 + 0.893948i \(0.352076\pi\)
\(620\) −9.42018 + 2.07354i −0.378323 + 0.0832753i
\(621\) 0.329756 + 0.827624i 0.0132326 + 0.0332114i
\(622\) 5.53420 + 10.4386i 0.221901 + 0.418550i
\(623\) 9.89068 + 5.95103i 0.396262 + 0.238423i
\(624\) 8.54774 5.14301i 0.342184 0.205885i
\(625\) −0.672273 + 1.26804i −0.0268909 + 0.0507217i
\(626\) 2.66461 + 0.289794i 0.106499 + 0.0115825i
\(627\) −10.6679 + 8.10950i −0.426034 + 0.323862i
\(628\) 8.03456 11.8501i 0.320614 0.472870i
\(629\) −2.89032 + 17.6302i −0.115245 + 0.702962i
\(630\) 0.711811 1.78651i 0.0283592 0.0711763i
\(631\) 35.2538 3.83408i 1.40343 0.152632i 0.625129 0.780522i \(-0.285046\pi\)
0.778303 + 0.627889i \(0.216081\pi\)
\(632\) −5.39211 + 5.10768i −0.214487 + 0.203173i
\(633\) 8.61046 + 10.1370i 0.342235 + 0.402910i
\(634\) 1.58519 0.733388i 0.0629560 0.0291266i
\(635\) −10.0003 14.7494i −0.396850 0.585311i
\(636\) −12.9702 4.37016i −0.514301 0.173288i
\(637\) 1.47573 5.31510i 0.0584705 0.210592i
\(638\) −1.32497 + 1.55987i −0.0524559 + 0.0617559i
\(639\) 0.179839 + 3.31694i 0.00711433 + 0.131216i
\(640\) −15.6171 + 5.26202i −0.617321 + 0.208000i
\(641\) −13.1062 9.96305i −0.517662 0.393517i 0.313464 0.949600i \(-0.398510\pi\)
−0.831127 + 0.556083i \(0.812304\pi\)
\(642\) 0.434668 + 0.411739i 0.0171550 + 0.0162500i
\(643\) −1.66815 + 30.7672i −0.0657853 + 1.21334i 0.760216 + 0.649671i \(0.225093\pi\)
−0.826001 + 0.563668i \(0.809390\pi\)
\(644\) 0.965727 + 3.47823i 0.0380550 + 0.137062i
\(645\) −5.71223 2.64276i −0.224919 0.104059i
\(646\) 2.07070 + 12.6307i 0.0814706 + 0.496949i
\(647\) 19.9334 + 4.38767i 0.783662 + 0.172497i 0.588741 0.808322i \(-0.299624\pi\)
0.194921 + 0.980819i \(0.437555\pi\)
\(648\) −2.06534 −0.0811343
\(649\) 10.2120 + 11.6992i 0.400854 + 0.459232i
\(650\) 7.47070 0.293025
\(651\) −9.40136 2.06940i −0.368468 0.0811060i
\(652\) −2.35436 14.3610i −0.0922038 0.562418i
\(653\) 12.7130 + 5.88164i 0.497496 + 0.230166i 0.652558 0.757738i \(-0.273696\pi\)
−0.155062 + 0.987905i \(0.549558\pi\)
\(654\) 2.71232 + 9.76889i 0.106060 + 0.381994i
\(655\) 0.594759 10.9697i 0.0232391 0.428621i
\(656\) −15.5783 14.7566i −0.608231 0.576147i
\(657\) −6.20318 4.71554i −0.242009 0.183971i
\(658\) −12.9836 + 4.37467i −0.506152 + 0.170542i
\(659\) 1.60861 + 29.6691i 0.0626627 + 1.15574i 0.845661 + 0.533721i \(0.179207\pi\)
−0.782998 + 0.622024i \(0.786311\pi\)
\(660\) 3.15166 3.71042i 0.122678 0.144428i
\(661\) 2.15196 7.75065i 0.0837014 0.301465i −0.909836 0.414967i \(-0.863793\pi\)
0.993538 + 0.113502i \(0.0362068\pi\)
\(662\) −11.2174 3.77958i −0.435976 0.146897i
\(663\) 8.71100 + 12.8478i 0.338307 + 0.498966i
\(664\) −27.9848 + 12.9472i −1.08602 + 0.502447i
\(665\) 14.7274 + 17.3384i 0.571104 + 0.672356i
\(666\) −2.10871 + 1.99748i −0.0817108 + 0.0774006i
\(667\) −1.60016 + 0.174028i −0.0619585 + 0.00673839i
\(668\) 4.77765 11.9910i 0.184853 0.463946i
\(669\) 2.81426 17.1662i 0.108805 0.663684i
\(670\) −2.35500 + 3.47336i −0.0909814 + 0.134188i
\(671\) 8.11146 6.16617i 0.313139 0.238042i
\(672\) −12.8335 1.39572i −0.495062 0.0538412i
\(673\) 12.5027 23.5825i 0.481942 0.909040i −0.516660 0.856191i \(-0.672825\pi\)
0.998603 0.0528491i \(-0.0168302\pi\)
\(674\) −8.03904 + 4.83693i −0.309652 + 0.186312i
\(675\) 2.53655 + 1.52619i 0.0976317 + 0.0587430i
\(676\) −5.75405 10.8533i −0.221309 0.417434i
\(677\) 4.05953 + 10.1887i 0.156020 + 0.391582i 0.986120 0.166033i \(-0.0530959\pi\)
−0.830100 + 0.557615i \(0.811717\pi\)
\(678\) 9.36320 2.06100i 0.359592 0.0791521i
\(679\) −2.21945 + 0.488537i −0.0851746 + 0.0187483i
\(680\) −3.76274 9.44376i −0.144294 0.362152i
\(681\) 6.15761 + 11.6145i 0.235960 + 0.445068i
\(682\) 3.88812 + 2.33940i 0.148884 + 0.0895803i
\(683\) −29.7132 + 17.8778i −1.13694 + 0.684077i −0.954225 0.299089i \(-0.903317\pi\)
−0.182719 + 0.983165i \(0.558490\pi\)
\(684\) 5.23465 9.87359i 0.200152 0.377526i
\(685\) 29.9693 + 3.25936i 1.14507 + 0.124534i
\(686\) −8.81662 + 6.70222i −0.336620 + 0.255892i
\(687\) −10.1550 + 14.9776i −0.387439 + 0.571429i
\(688\) −1.57912 + 9.63222i −0.0602034 + 0.367225i
\(689\) −13.5328 + 33.9647i −0.515557 + 1.29395i
\(690\) −0.708744 + 0.0770806i −0.0269814 + 0.00293441i
\(691\) −37.3856 + 35.4135i −1.42221 + 1.34719i −0.572551 + 0.819869i \(0.694046\pi\)
−0.849664 + 0.527324i \(0.823195\pi\)
\(692\) −20.9676 24.6850i −0.797070 0.938383i
\(693\) 4.40951 2.04006i 0.167503 0.0774953i
\(694\) 5.99519 + 8.84225i 0.227574 + 0.335647i
\(695\) 25.9618 + 8.74755i 0.984788 + 0.331814i
\(696\) 0.998276 3.59546i 0.0378395 0.136286i
\(697\) 21.6156 25.4478i 0.818749 0.963906i
\(698\) 0.608366 + 11.2206i 0.0230270 + 0.424708i
\(699\) 6.49862 2.18964i 0.245800 0.0828197i
\(700\) 9.54893 + 7.25891i 0.360916 + 0.274361i
\(701\) −3.11336 2.94913i −0.117590 0.111387i 0.626646 0.779304i \(-0.284427\pi\)
−0.744235 + 0.667917i \(0.767186\pi\)
\(702\) −0.136627 + 2.51994i −0.00515665 + 0.0951088i
\(703\) −9.19209 33.1069i −0.346686 1.24865i
\(704\) −2.60531 1.20535i −0.0981914 0.0454282i
\(705\) 2.35094 + 14.3401i 0.0885416 + 0.540080i
\(706\) 15.8364 + 3.48586i 0.596011 + 0.131192i
\(707\) −40.4986 −1.52311
\(708\) −11.8260 5.27899i −0.444450 0.198397i
\(709\) 17.6780 0.663913 0.331956 0.943295i \(-0.392291\pi\)
0.331956 + 0.943295i \(0.392291\pi\)
\(710\) −2.59606 0.571437i −0.0974285 0.0214456i
\(711\) 0.581786 + 3.54874i 0.0218187 + 0.133088i
\(712\) 9.00339 + 4.16541i 0.337416 + 0.156105i
\(713\) 0.954721 + 3.43860i 0.0357546 + 0.128776i
\(714\) 0.251241 4.63387i 0.00940245 0.173418i
\(715\) −9.44139 8.94336i −0.353088 0.334463i
\(716\) 14.5219 + 11.0393i 0.542710 + 0.412557i
\(717\) −11.4383 + 3.85400i −0.427170 + 0.143930i
\(718\) −0.980635 18.0867i −0.0365970 0.674991i
\(719\) 19.5988 23.0735i 0.730912 0.860497i −0.263652 0.964618i \(-0.584927\pi\)
0.994565 + 0.104121i \(0.0332030\pi\)
\(720\) −0.846254 + 3.04793i −0.0315380 + 0.113590i
\(721\) −10.4635 3.52558i −0.389683 0.131299i
\(722\) −7.83974 11.5628i −0.291765 0.430321i
\(723\) −15.5924 + 7.21382i −0.579888 + 0.268285i
\(724\) −19.6404 23.1225i −0.729929 0.859339i
\(725\) −3.88291 + 3.67809i −0.144208 + 0.136601i
\(726\) 3.85053 0.418771i 0.142907 0.0155420i
\(727\) −13.2618 + 33.2845i −0.491852 + 1.23445i 0.448357 + 0.893855i \(0.352009\pi\)
−0.940208 + 0.340600i \(0.889370\pi\)
\(728\) −3.61663 + 22.0605i −0.134041 + 0.817616i
\(729\) −0.561187 + 0.827689i −0.0207847 + 0.0306551i
\(730\) 4.96397 3.77351i 0.183725 0.139664i
\(731\) −15.0990 1.64212i −0.558458 0.0607360i
\(732\) −3.98023 + 7.50752i −0.147114 + 0.277486i
\(733\) 42.8315 25.7709i 1.58202 0.951869i 0.592813 0.805340i \(-0.298017\pi\)
0.989206 0.146529i \(-0.0468101\pi\)
\(734\) 5.68560 + 3.42091i 0.209859 + 0.126268i
\(735\) 0.819313 + 1.54539i 0.0302208 + 0.0570025i
\(736\) 1.77135 + 4.44575i 0.0652927 + 0.163872i
\(737\) −10.3542 + 2.27912i −0.381401 + 0.0839526i
\(738\) 5.30147 1.16694i 0.195150 0.0429557i
\(739\) 10.0738 + 25.2834i 0.370572 + 0.930064i 0.989489 + 0.144608i \(0.0461922\pi\)
−0.618917 + 0.785456i \(0.712428\pi\)
\(740\) 5.84698 + 11.0286i 0.214939 + 0.405418i
\(741\) −25.5798 15.3909i −0.939697 0.565397i
\(742\) 9.36594 5.63530i 0.343835 0.206878i
\(743\) 3.74032 7.05500i 0.137219 0.258823i −0.805373 0.592768i \(-0.798035\pi\)
0.942593 + 0.333945i \(0.108380\pi\)
\(744\) −8.22464 0.894484i −0.301530 0.0327934i
\(745\) −1.48304 + 1.12738i −0.0543344 + 0.0413039i
\(746\) −2.64113 + 3.89537i −0.0966986 + 0.142620i
\(747\) −2.41534 + 14.7329i −0.0883727 + 0.539049i
\(748\) 4.34830 10.9134i 0.158990 0.399034i
\(749\) 2.55285 0.277639i 0.0932791 0.0101447i
\(750\) −4.62464 + 4.38069i −0.168868 + 0.159960i
\(751\) 1.50516 + 1.77201i 0.0549239 + 0.0646614i 0.788938 0.614473i \(-0.210631\pi\)
−0.734014 + 0.679134i \(0.762355\pi\)
\(752\) 20.4530 9.46256i 0.745844 0.345064i
\(753\) 11.3248 + 16.7029i 0.412699 + 0.608686i
\(754\) −4.32081 1.45585i −0.157355 0.0530190i
\(755\) −2.09179 + 7.53394i −0.0761280 + 0.274188i
\(756\) −2.62313 + 3.08819i −0.0954023 + 0.112316i
\(757\) 1.00501 + 18.5363i 0.0365276 + 0.673713i 0.958262 + 0.285891i \(0.0922896\pi\)
−0.921734 + 0.387822i \(0.873228\pi\)
\(758\) −16.1784 + 5.45112i −0.587624 + 0.197994i
\(759\) −1.43388 1.09001i −0.0520466 0.0395648i
\(760\) 14.1939 + 13.4452i 0.514867 + 0.487708i
\(761\) 0.0321902 0.593714i 0.00116689 0.0215221i −0.997892 0.0648968i \(-0.979328\pi\)
0.999059 + 0.0433747i \(0.0138109\pi\)
\(762\) −1.87035 6.73638i −0.0677555 0.244033i
\(763\) 39.4647 + 18.2583i 1.42872 + 0.660996i
\(764\) −2.26630 13.8238i −0.0819919 0.500129i
\(765\) −4.80700 1.05810i −0.173797 0.0382557i
\(766\) −5.24756 −0.189602
\(767\) −15.7915 + 30.7814i −0.570198 + 1.11145i
\(768\) −3.62565 −0.130829
\(769\) −10.9345 2.40687i −0.394309 0.0867941i 0.0133898 0.999910i \(-0.495738\pi\)
−0.407699 + 0.913116i \(0.633669\pi\)
\(770\) 0.629003 + 3.83675i 0.0226677 + 0.138267i
\(771\) −24.0020 11.1045i −0.864412 0.399920i
\(772\) 2.01064 + 7.24169i 0.0723647 + 0.260634i
\(773\) 2.49801