Properties

Label 690.2.n.a.89.15
Level $690$
Weight $2$
Character 690.89
Analytic conductor $5.510$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 690.n (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.50967773947\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(24\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 89.15
Character \(\chi\) \(=\) 690.89
Dual form 690.2.n.a.659.15

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.142315 - 0.989821i) q^{2} +(0.730817 + 1.57032i) q^{3} +(-0.959493 + 0.281733i) q^{4} +(-0.248537 - 2.22221i) q^{5} +(1.45033 - 0.946859i) q^{6} +(-3.21136 + 2.06381i) q^{7} +(0.415415 + 0.909632i) q^{8} +(-1.93181 + 2.29523i) q^{9} +O(q^{10})\) \(q+(-0.142315 - 0.989821i) q^{2} +(0.730817 + 1.57032i) q^{3} +(-0.959493 + 0.281733i) q^{4} +(-0.248537 - 2.22221i) q^{5} +(1.45033 - 0.946859i) q^{6} +(-3.21136 + 2.06381i) q^{7} +(0.415415 + 0.909632i) q^{8} +(-1.93181 + 2.29523i) q^{9} +(-2.16422 + 0.562261i) q^{10} +(0.661762 - 4.60265i) q^{11} +(-1.14362 - 1.30082i) q^{12} +(1.07552 - 1.67355i) q^{13} +(2.49983 + 2.88496i) q^{14} +(3.30795 - 2.01431i) q^{15} +(0.841254 - 0.540641i) q^{16} +(0.740783 - 2.52288i) q^{17} +(2.54680 + 1.58550i) q^{18} +(-1.45827 - 4.96642i) q^{19} +(0.864539 + 2.06218i) q^{20} +(-5.58776 - 3.53459i) q^{21} -4.64998 q^{22} +(0.832592 - 4.72301i) q^{23} +(-1.12482 + 1.31711i) q^{24} +(-4.87646 + 1.10461i) q^{25} +(-1.80958 - 0.826406i) q^{26} +(-5.01606 - 1.35617i) q^{27} +(2.49983 - 2.88496i) q^{28} +(0.756135 - 2.57516i) q^{29} +(-2.46458 - 2.98761i) q^{30} +(-2.00737 - 4.39553i) q^{31} +(-0.654861 - 0.755750i) q^{32} +(7.71127 - 2.32452i) q^{33} +(-2.60262 - 0.374200i) q^{34} +(5.38437 + 6.62338i) q^{35} +(1.20692 - 2.74652i) q^{36} +(6.21744 + 7.17531i) q^{37} +(-4.70833 + 2.15022i) q^{38} +(3.41402 + 0.465859i) q^{39} +(1.91815 - 1.14922i) q^{40} +(2.30046 + 1.99336i) q^{41} +(-2.70339 + 6.03391i) q^{42} +(-1.31761 + 2.88517i) q^{43} +(0.661762 + 4.60265i) q^{44} +(5.58063 + 3.72245i) q^{45} +(-4.79342 - 0.151963i) q^{46} -10.1757 q^{47} +(1.46378 + 0.925928i) q^{48} +(3.14558 - 6.88786i) q^{49} +(1.78735 + 4.66962i) q^{50} +(4.50310 - 0.680494i) q^{51} +(-0.560465 + 1.90877i) q^{52} +(-6.07154 - 9.44750i) q^{53} +(-0.628503 + 5.15800i) q^{54} +(-10.3925 - 0.326644i) q^{55} +(-3.21136 - 2.06381i) q^{56} +(6.73313 - 5.91950i) q^{57} +(-2.65656 - 0.381955i) q^{58} +(-0.504216 + 0.784576i) q^{59} +(-2.60646 + 2.86468i) q^{60} +(11.0649 - 5.05319i) q^{61} +(-4.06511 + 2.61249i) q^{62} +(1.46680 - 11.3577i) q^{63} +(-0.654861 + 0.755750i) q^{64} +(-3.98629 - 1.97410i) q^{65} +(-3.39829 - 7.30196i) q^{66} +(-0.387278 - 2.69357i) q^{67} +2.62938i q^{68} +(8.02511 - 2.14422i) q^{69} +(5.78969 - 6.27218i) q^{70} +(-5.01334 + 0.720810i) q^{71} +(-2.89032 - 0.803763i) q^{72} +(2.00152 + 6.81656i) q^{73} +(6.21744 - 7.17531i) q^{74} +(-5.29838 - 6.85034i) q^{75} +(2.79840 + 4.35440i) q^{76} +(7.37387 + 16.1465i) q^{77} +(-0.0247480 - 3.44557i) q^{78} +(-4.40651 + 6.85667i) q^{79} +(-1.41050 - 1.73507i) q^{80} +(-1.53621 - 8.86792i) q^{81} +(1.64568 - 2.56073i) q^{82} +(-5.67839 + 4.92035i) q^{83} +(6.35723 + 1.81716i) q^{84} +(-5.79048 - 1.01915i) q^{85} +(3.04332 + 0.893599i) q^{86} +(4.59642 - 0.694597i) q^{87} +(4.46163 - 1.31005i) q^{88} +(-5.75374 + 12.5989i) q^{89} +(2.89035 - 6.05358i) q^{90} +7.59404i q^{91} +(0.531759 + 4.76626i) q^{92} +(5.43537 - 6.36455i) q^{93} +(1.44815 + 10.0721i) q^{94} +(-10.6740 + 4.47493i) q^{95} +(0.708185 - 1.58066i) q^{96} +(2.74356 - 3.16623i) q^{97} +(-7.26541 - 2.13332i) q^{98} +(9.28577 + 10.4104i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q - 24q^{2} + 2q^{3} - 24q^{4} + 2q^{6} - 24q^{8} - 6q^{9} + O(q^{10}) \) \( 240q - 24q^{2} + 2q^{3} - 24q^{4} + 2q^{6} - 24q^{8} - 6q^{9} - 9q^{12} + 11q^{15} - 24q^{16} - 6q^{18} - 4q^{23} + 2q^{24} - 12q^{25} + 2q^{27} + 22q^{30} + 28q^{31} - 24q^{32} - 36q^{35} - 6q^{36} - 4q^{46} + 104q^{47} - 9q^{48} + 70q^{49} + 54q^{50} - 9q^{54} - 26q^{55} - 44q^{57} - 11q^{60} + 44q^{61} + 28q^{62} - 121q^{63} - 24q^{64} + 44q^{65} + 44q^{66} - 102q^{69} - 36q^{70} + 16q^{72} - 82q^{75} + 8q^{77} - 44q^{79} + 74q^{81} - 11q^{84} + 22q^{85} - 93q^{87} - 4q^{92} + 172q^{93} + 16q^{94} + 26q^{95} + 2q^{96} + 4q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).

\(n\) \(277\) \(461\) \(511\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{5}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.142315 0.989821i −0.100632 0.699909i
\(3\) 0.730817 + 1.57032i 0.421938 + 0.906625i
\(4\) −0.959493 + 0.281733i −0.479746 + 0.140866i
\(5\) −0.248537 2.22221i −0.111149 0.993804i
\(6\) 1.45033 0.946859i 0.592095 0.386553i
\(7\) −3.21136 + 2.06381i −1.21378 + 0.780048i −0.981287 0.192550i \(-0.938324\pi\)
−0.232492 + 0.972598i \(0.574688\pi\)
\(8\) 0.415415 + 0.909632i 0.146871 + 0.321603i
\(9\) −1.93181 + 2.29523i −0.643937 + 0.765078i
\(10\) −2.16422 + 0.562261i −0.684387 + 0.177803i
\(11\) 0.661762 4.60265i 0.199529 1.38775i −0.606127 0.795368i \(-0.707278\pi\)
0.805656 0.592384i \(-0.201813\pi\)
\(12\) −1.14362 1.30082i −0.330136 0.375513i
\(13\) 1.07552 1.67355i 0.298297 0.464159i −0.659460 0.751740i \(-0.729215\pi\)
0.957756 + 0.287581i \(0.0928512\pi\)
\(14\) 2.49983 + 2.88496i 0.668108 + 0.771038i
\(15\) 3.30795 2.01431i 0.854109 0.520094i
\(16\) 0.841254 0.540641i 0.210313 0.135160i
\(17\) 0.740783 2.52288i 0.179666 0.611887i −0.819576 0.572970i \(-0.805791\pi\)
0.999242 0.0389169i \(-0.0123908\pi\)
\(18\) 2.54680 + 1.58550i 0.600286 + 0.373707i
\(19\) −1.45827 4.96642i −0.334550 1.13937i −0.939340 0.342988i \(-0.888561\pi\)
0.604789 0.796386i \(-0.293257\pi\)
\(20\) 0.864539 + 2.06218i 0.193317 + 0.461117i
\(21\) −5.58776 3.53459i −1.21935 0.771310i
\(22\) −4.64998 −0.991380
\(23\) 0.832592 4.72301i 0.173607 0.984815i
\(24\) −1.12482 + 1.31711i −0.229603 + 0.268854i
\(25\) −4.87646 + 1.10461i −0.975292 + 0.220921i
\(26\) −1.80958 0.826406i −0.354887 0.162071i
\(27\) −5.01606 1.35617i −0.965340 0.260994i
\(28\) 2.49983 2.88496i 0.472424 0.545206i
\(29\) 0.756135 2.57516i 0.140411 0.478195i −0.859020 0.511943i \(-0.828926\pi\)
0.999430 + 0.0337477i \(0.0107443\pi\)
\(30\) −2.46458 2.98761i −0.449969 0.545461i
\(31\) −2.00737 4.39553i −0.360535 0.789461i −0.999791 0.0204667i \(-0.993485\pi\)
0.639256 0.768994i \(-0.279242\pi\)
\(32\) −0.654861 0.755750i −0.115764 0.133599i
\(33\) 7.71127 2.32452i 1.34236 0.404647i
\(34\) −2.60262 0.374200i −0.446346 0.0641748i
\(35\) 5.38437 + 6.62338i 0.910125 + 1.11956i
\(36\) 1.20692 2.74652i 0.201153 0.457753i
\(37\) 6.21744 + 7.17531i 1.02214 + 1.17961i 0.983601 + 0.180356i \(0.0577250\pi\)
0.0385393 + 0.999257i \(0.487730\pi\)
\(38\) −4.70833 + 2.15022i −0.763792 + 0.348812i
\(39\) 3.41402 + 0.465859i 0.546680 + 0.0745971i
\(40\) 1.91815 1.14922i 0.303286 0.181707i
\(41\) 2.30046 + 1.99336i 0.359271 + 0.311310i 0.815728 0.578435i \(-0.196336\pi\)
−0.456457 + 0.889745i \(0.650882\pi\)
\(42\) −2.70339 + 6.03391i −0.417142 + 0.931053i
\(43\) −1.31761 + 2.88517i −0.200934 + 0.439984i −0.983096 0.183091i \(-0.941390\pi\)
0.782162 + 0.623075i \(0.214117\pi\)
\(44\) 0.661762 + 4.60265i 0.0997643 + 0.693876i
\(45\) 5.58063 + 3.72245i 0.831911 + 0.554909i
\(46\) −4.79342 0.151963i −0.706752 0.0224058i
\(47\) −10.1757 −1.48428 −0.742140 0.670245i \(-0.766189\pi\)
−0.742140 + 0.670245i \(0.766189\pi\)
\(48\) 1.46378 + 0.925928i 0.211279 + 0.133646i
\(49\) 3.14558 6.88786i 0.449369 0.983980i
\(50\) 1.78735 + 4.66962i 0.252770 + 0.660384i
\(51\) 4.50310 0.680494i 0.630560 0.0952883i
\(52\) −0.560465 + 1.90877i −0.0777224 + 0.264698i
\(53\) −6.07154 9.44750i −0.833990 1.29771i −0.952432 0.304753i \(-0.901426\pi\)
0.118442 0.992961i \(-0.462210\pi\)
\(54\) −0.628503 + 5.15800i −0.0855284 + 0.701915i
\(55\) −10.3925 0.326644i −1.40133 0.0440447i
\(56\) −3.21136 2.06381i −0.429136 0.275789i
\(57\) 6.73313 5.91950i 0.891825 0.784056i
\(58\) −2.65656 0.381955i −0.348823 0.0501532i
\(59\) −0.504216 + 0.784576i −0.0656434 + 0.102143i −0.872524 0.488572i \(-0.837518\pi\)
0.806880 + 0.590715i \(0.201154\pi\)
\(60\) −2.60646 + 2.86468i −0.336492 + 0.369828i
\(61\) 11.0649 5.05319i 1.41672 0.646994i 0.447747 0.894160i \(-0.352227\pi\)
0.968973 + 0.247166i \(0.0794992\pi\)
\(62\) −4.06511 + 2.61249i −0.516270 + 0.331786i
\(63\) 1.46680 11.3577i 0.184799 1.43094i
\(64\) −0.654861 + 0.755750i −0.0818576 + 0.0944687i
\(65\) −3.98629 1.97410i −0.494438 0.244857i
\(66\) −3.39829 7.30196i −0.418300 0.898810i
\(67\) −0.387278 2.69357i −0.0473135 0.329073i −0.999707 0.0242014i \(-0.992296\pi\)
0.952394 0.304871i \(-0.0986134\pi\)
\(68\) 2.62938i 0.318860i
\(69\) 8.02511 2.14422i 0.966109 0.258134i
\(70\) 5.78969 6.27218i 0.692000 0.749668i
\(71\) −5.01334 + 0.720810i −0.594974 + 0.0855444i −0.433222 0.901287i \(-0.642623\pi\)
−0.161752 + 0.986831i \(0.551714\pi\)
\(72\) −2.89032 0.803763i −0.340628 0.0947244i
\(73\) 2.00152 + 6.81656i 0.234261 + 0.797818i 0.989769 + 0.142679i \(0.0455717\pi\)
−0.755508 + 0.655139i \(0.772610\pi\)
\(74\) 6.21744 7.17531i 0.722763 0.834113i
\(75\) −5.29838 6.85034i −0.611805 0.791009i
\(76\) 2.79840 + 4.35440i 0.320999 + 0.499484i
\(77\) 7.37387 + 16.1465i 0.840330 + 1.84007i
\(78\) −0.0247480 3.44557i −0.00280216 0.390133i
\(79\) −4.40651 + 6.85667i −0.495772 + 0.771436i −0.995502 0.0947456i \(-0.969796\pi\)
0.499730 + 0.866181i \(0.333433\pi\)
\(80\) −1.41050 1.73507i −0.157699 0.193987i
\(81\) −1.53621 8.86792i −0.170690 0.985325i
\(82\) 1.64568 2.56073i 0.181735 0.282785i
\(83\) −5.67839 + 4.92035i −0.623284 + 0.540079i −0.908233 0.418464i \(-0.862569\pi\)
0.284949 + 0.958543i \(0.408023\pi\)
\(84\) 6.35723 + 1.81716i 0.693631 + 0.198268i
\(85\) −5.79048 1.01915i −0.628065 0.110542i
\(86\) 3.04332 + 0.893599i 0.328169 + 0.0963592i
\(87\) 4.59642 0.694597i 0.492788 0.0744686i
\(88\) 4.46163 1.31005i 0.475611 0.139652i
\(89\) −5.75374 + 12.5989i −0.609895 + 1.33548i 0.312750 + 0.949835i \(0.398750\pi\)
−0.922646 + 0.385649i \(0.873978\pi\)
\(90\) 2.89035 6.05358i 0.304670 0.638104i
\(91\) 7.59404i 0.796071i
\(92\) 0.531759 + 4.76626i 0.0554397 + 0.496917i
\(93\) 5.43537 6.36455i 0.563622 0.659973i
\(94\) 1.44815 + 10.0721i 0.149366 + 1.03886i
\(95\) −10.6740 + 4.47493i −1.09513 + 0.459118i
\(96\) 0.708185 1.58066i 0.0722789 0.161325i
\(97\) 2.74356 3.16623i 0.278566 0.321482i −0.599175 0.800618i \(-0.704504\pi\)
0.877741 + 0.479136i \(0.159050\pi\)
\(98\) −7.26541 2.13332i −0.733918 0.215498i
\(99\) 9.28577 + 10.4104i 0.933255 + 1.04628i
\(100\) 4.36772 2.43372i 0.436772 0.243372i
\(101\) −4.40055 + 3.81310i −0.437872 + 0.379418i −0.845716 0.533634i \(-0.820826\pi\)
0.407844 + 0.913052i \(0.366281\pi\)
\(102\) −1.31443 4.36042i −0.130148 0.431746i
\(103\) 1.95666 13.6089i 0.192795 1.34092i −0.631770 0.775156i \(-0.717671\pi\)
0.824566 0.565766i \(-0.191419\pi\)
\(104\) 1.96910 + 0.283114i 0.193086 + 0.0277616i
\(105\) −6.46584 + 13.2957i −0.631001 + 1.29753i
\(106\) −8.48727 + 7.35426i −0.824356 + 0.714309i
\(107\) 17.1432 7.82903i 1.65729 0.756861i 0.657299 0.753630i \(-0.271699\pi\)
0.999995 0.00323103i \(-0.00102847\pi\)
\(108\) 5.19495 0.111955i 0.499884 0.0107728i
\(109\) 2.27163 7.73645i 0.217582 0.741017i −0.776280 0.630389i \(-0.782895\pi\)
0.993862 0.110628i \(-0.0352864\pi\)
\(110\) 1.15569 + 10.3333i 0.110191 + 0.985237i
\(111\) −6.72372 + 15.0072i −0.638187 + 1.42442i
\(112\) −1.58578 + 3.47238i −0.149842 + 0.328109i
\(113\) 7.67503 1.10350i 0.722006 0.103809i 0.228491 0.973546i \(-0.426621\pi\)
0.493515 + 0.869737i \(0.335712\pi\)
\(114\) −6.81747 5.82217i −0.638515 0.545296i
\(115\) −10.7025 0.676353i −0.998009 0.0630702i
\(116\) 2.68387i 0.249191i
\(117\) 1.76347 + 5.70156i 0.163033 + 0.527109i
\(118\) 0.848347 + 0.387427i 0.0780967 + 0.0356656i
\(119\) 2.82783 + 9.63069i 0.259226 + 0.882844i
\(120\) 3.20646 + 2.17224i 0.292708 + 0.198298i
\(121\) −10.1921 2.99266i −0.926552 0.272060i
\(122\) −6.57646 10.2332i −0.595405 0.926468i
\(123\) −1.44900 + 5.06924i −0.130652 + 0.457078i
\(124\) 3.16442 + 3.65194i 0.284174 + 0.327954i
\(125\) 3.66665 + 10.5620i 0.327955 + 0.944693i
\(126\) −11.4509 + 0.164502i −1.02012 + 0.0146550i
\(127\) −14.3954 2.06975i −1.27739 0.183661i −0.529971 0.848016i \(-0.677797\pi\)
−0.747417 + 0.664355i \(0.768706\pi\)
\(128\) 0.841254 + 0.540641i 0.0743570 + 0.0477863i
\(129\) −5.49357 + 0.0394579i −0.483682 + 0.00347408i
\(130\) −1.38670 + 4.22666i −0.121622 + 0.370702i
\(131\) 2.29103 + 3.56492i 0.200169 + 0.311468i 0.926797 0.375562i \(-0.122550\pi\)
−0.726629 + 0.687030i \(0.758914\pi\)
\(132\) −6.74401 + 4.40288i −0.586991 + 0.383221i
\(133\) 14.9328 + 12.9393i 1.29484 + 1.12198i
\(134\) −2.61104 + 0.766671i −0.225560 + 0.0662303i
\(135\) −1.76701 + 11.4838i −0.152080 + 0.988368i
\(136\) 2.60262 0.374200i 0.223173 0.0320874i
\(137\) 2.11258i 0.180490i 0.995920 + 0.0902448i \(0.0287649\pi\)
−0.995920 + 0.0902448i \(0.971235\pi\)
\(138\) −3.26449 7.63827i −0.277892 0.650213i
\(139\) −3.98807 −0.338264 −0.169132 0.985593i \(-0.554096\pi\)
−0.169132 + 0.985593i \(0.554096\pi\)
\(140\) −7.03229 4.83814i −0.594337 0.408897i
\(141\) −7.43658 15.9791i −0.626273 1.34568i
\(142\) 1.42695 + 4.85973i 0.119747 + 0.407820i
\(143\) −6.99102 6.05775i −0.584618 0.506575i
\(144\) −0.384246 + 2.97529i −0.0320205 + 0.247941i
\(145\) −5.91048 1.04027i −0.490838 0.0863896i
\(146\) 6.46233 2.95125i 0.534826 0.244247i
\(147\) 13.1150 0.0941993i 1.08171 0.00776943i
\(148\) −7.98711 5.13300i −0.656536 0.421930i
\(149\) −1.54016 + 10.7120i −0.126175 + 0.877564i 0.824165 + 0.566349i \(0.191645\pi\)
−0.950340 + 0.311214i \(0.899264\pi\)
\(150\) −6.02657 + 6.21936i −0.492068 + 0.507809i
\(151\) 7.52777 + 4.83781i 0.612601 + 0.393695i 0.809832 0.586662i \(-0.199558\pi\)
−0.197230 + 0.980357i \(0.563195\pi\)
\(152\) 3.91182 3.38961i 0.317291 0.274934i
\(153\) 4.35954 + 6.57399i 0.352448 + 0.531476i
\(154\) 14.9328 9.59670i 1.20332 0.773324i
\(155\) −9.26890 + 5.55326i −0.744496 + 0.446049i
\(156\) −3.40697 + 0.514851i −0.272776 + 0.0412211i
\(157\) 12.8459 3.77191i 1.02522 0.301031i 0.274453 0.961601i \(-0.411503\pi\)
0.750765 + 0.660570i \(0.229685\pi\)
\(158\) 7.41399 + 3.38586i 0.589826 + 0.269364i
\(159\) 10.3984 16.4387i 0.824648 1.30367i
\(160\) −1.51668 + 1.64307i −0.119904 + 0.129896i
\(161\) 7.07366 + 16.8856i 0.557482 + 1.33077i
\(162\) −8.55904 + 2.78261i −0.672461 + 0.218622i
\(163\) 19.0949 2.74543i 1.49563 0.215039i 0.654578 0.755995i \(-0.272846\pi\)
0.841051 + 0.540956i \(0.181937\pi\)
\(164\) −2.76887 1.26450i −0.216212 0.0987409i
\(165\) −7.08212 16.5583i −0.551342 1.28907i
\(166\) 5.67839 + 4.92035i 0.440728 + 0.381893i
\(167\) −13.8739 4.07375i −1.07360 0.315236i −0.303282 0.952901i \(-0.598082\pi\)
−0.770314 + 0.637664i \(0.779901\pi\)
\(168\) 0.893933 6.55113i 0.0689684 0.505431i
\(169\) 3.75639 + 8.22534i 0.288953 + 0.632718i
\(170\) −0.184705 + 5.87658i −0.0141662 + 0.450713i
\(171\) 14.2162 + 6.24711i 1.08714 + 0.477728i
\(172\) 0.451394 3.13951i 0.0344185 0.239386i
\(173\) 1.28146 8.91273i 0.0974274 0.677622i −0.881315 0.472529i \(-0.843341\pi\)
0.978742 0.205093i \(-0.0657498\pi\)
\(174\) −1.34167 4.45078i −0.101711 0.337413i
\(175\) 13.3803 13.6114i 1.01146 1.02892i
\(176\) −1.93167 4.22977i −0.145605 0.318831i
\(177\) −1.60053 0.218399i −0.120303 0.0164159i
\(178\) 13.2895 + 3.90216i 0.996093 + 0.292479i
\(179\) 0.181083 + 0.156909i 0.0135348 + 0.0117279i 0.661602 0.749855i \(-0.269877\pi\)
−0.648067 + 0.761583i \(0.724422\pi\)
\(180\) −6.40331 1.99942i −0.477274 0.149028i
\(181\) 14.6093 + 6.67184i 1.08590 + 0.495914i 0.876247 0.481862i \(-0.160039\pi\)
0.209653 + 0.977776i \(0.432767\pi\)
\(182\) 7.51674 1.08074i 0.557178 0.0801101i
\(183\) 16.0216 + 13.6825i 1.18435 + 1.01144i
\(184\) 4.64207 1.20466i 0.342218 0.0888084i
\(185\) 14.3998 15.5998i 1.05869 1.14692i
\(186\) −7.07330 4.47428i −0.518640 0.328070i
\(187\) −11.1217 5.07911i −0.813299 0.371421i
\(188\) 9.76352 2.86683i 0.712078 0.209085i
\(189\) 18.9072 5.99707i 1.37530 0.436223i
\(190\) 5.94845 + 9.92850i 0.431546 + 0.720289i
\(191\) 18.1973 11.6947i 1.31671 0.846200i 0.321786 0.946812i \(-0.395717\pi\)
0.994926 + 0.100613i \(0.0320803\pi\)
\(192\) −1.66535 0.476026i −0.120186 0.0343542i
\(193\) −2.66028 + 2.30515i −0.191491 + 0.165928i −0.745330 0.666696i \(-0.767708\pi\)
0.553838 + 0.832624i \(0.313163\pi\)
\(194\) −3.52446 2.26503i −0.253041 0.162620i
\(195\) 0.186727 7.70245i 0.0133718 0.551584i
\(196\) −1.07763 + 7.49507i −0.0769734 + 0.535362i
\(197\) −17.6966 11.3729i −1.26083 0.810288i −0.272435 0.962174i \(-0.587829\pi\)
−0.988398 + 0.151886i \(0.951465\pi\)
\(198\) 8.98289 10.6728i 0.638386 0.758483i
\(199\) −25.1274 + 11.4753i −1.78123 + 0.813462i −0.806120 + 0.591752i \(0.798437\pi\)
−0.975113 + 0.221710i \(0.928836\pi\)
\(200\) −3.03054 3.97691i −0.214291 0.281210i
\(201\) 3.94675 2.57666i 0.278382 0.181744i
\(202\) 4.40055 + 3.81310i 0.309622 + 0.268289i
\(203\) 2.88643 + 9.83027i 0.202588 + 0.689950i
\(204\) −4.12897 + 1.92160i −0.289086 + 0.134539i
\(205\) 3.85792 5.60753i 0.269449 0.391647i
\(206\) −13.7488 −0.957925
\(207\) 9.23200 + 11.0350i 0.641668 + 0.766982i
\(208\) 1.98935i 0.137937i
\(209\) −23.8237 + 3.42533i −1.64792 + 0.236935i
\(210\) 14.0805 + 4.50785i 0.971649 + 0.311071i
\(211\) 16.0204 4.70402i 1.10289 0.323838i 0.320891 0.947116i \(-0.396018\pi\)
0.782000 + 0.623278i \(0.214200\pi\)
\(212\) 8.48727 + 7.35426i 0.582908 + 0.505093i
\(213\) −4.79574 7.34577i −0.328599 0.503324i
\(214\) −10.1891 15.8545i −0.696510 1.08379i
\(215\) 6.73893 + 2.21094i 0.459591 + 0.150785i
\(216\) −0.850133 5.12614i −0.0578442 0.348789i
\(217\) 15.5179 + 9.97278i 1.05343 + 0.676996i
\(218\) −7.98099 1.14749i −0.540541 0.0777180i
\(219\) −9.24144 + 8.12469i −0.624478 + 0.549016i
\(220\) 10.0636 2.61451i 0.678488 0.176270i
\(221\) −3.42542 3.95315i −0.230419 0.265917i
\(222\) 15.8113 + 4.51953i 1.06119 + 0.303331i
\(223\) 1.67546 + 2.60706i 0.112197 + 0.174582i 0.892811 0.450432i \(-0.148730\pi\)
−0.780614 + 0.625013i \(0.785093\pi\)
\(224\) 3.66272 + 1.07547i 0.244726 + 0.0718579i
\(225\) 6.88507 13.3265i 0.459005 0.888434i
\(226\) −2.18454 7.43987i −0.145314 0.494893i
\(227\) 8.31619 + 3.79788i 0.551965 + 0.252074i 0.671816 0.740718i \(-0.265515\pi\)
−0.119851 + 0.992792i \(0.538242\pi\)
\(228\) −4.79268 + 7.57666i −0.317403 + 0.501776i
\(229\) 19.9220i 1.31648i −0.752807 0.658242i \(-0.771301\pi\)
0.752807 0.658242i \(-0.228699\pi\)
\(230\) 0.853649 + 10.6898i 0.0562880 + 0.704863i
\(231\) −19.9663 + 23.3795i −1.31368 + 1.53826i
\(232\) 2.65656 0.381955i 0.174411 0.0250766i
\(233\) −1.98627 + 4.34933i −0.130125 + 0.284934i −0.963469 0.267821i \(-0.913696\pi\)
0.833344 + 0.552755i \(0.186424\pi\)
\(234\) 5.39256 2.55694i 0.352522 0.167152i
\(235\) 2.52904 + 22.6126i 0.164977 + 1.47508i
\(236\) 0.262751 0.894849i 0.0171037 0.0582497i
\(237\) −13.9875 1.90867i −0.908587 0.123981i
\(238\) 9.13022 4.16963i 0.591824 0.270277i
\(239\) 11.0521 9.57674i 0.714904 0.619468i −0.219530 0.975606i \(-0.570452\pi\)
0.934433 + 0.356138i \(0.115907\pi\)
\(240\) 1.69380 3.48296i 0.109335 0.224824i
\(241\) −4.89326 0.703545i −0.315203 0.0453193i −0.0171020 0.999854i \(-0.505444\pi\)
−0.298101 + 0.954534i \(0.596353\pi\)
\(242\) −1.51172 + 10.5142i −0.0971769 + 0.675880i
\(243\) 12.8028 8.89317i 0.821300 0.570497i
\(244\) −9.19308 + 7.96585i −0.588527 + 0.509961i
\(245\) −16.0881 5.27826i −1.02783 0.337216i
\(246\) 5.22386 + 0.712820i 0.333061 + 0.0454478i
\(247\) −9.87994 2.90101i −0.628645 0.184587i
\(248\) 3.16442 3.65194i 0.200941 0.231898i
\(249\) −11.8764 5.32101i −0.752636 0.337205i
\(250\) 9.93267 5.13246i 0.628197 0.324605i
\(251\) 2.79468 + 19.4374i 0.176398 + 1.22688i 0.865013 + 0.501750i \(0.167310\pi\)
−0.688614 + 0.725128i \(0.741781\pi\)
\(252\) 1.79245 + 11.3109i 0.112914 + 0.712519i
\(253\) −21.1874 6.95764i −1.33204 0.437423i
\(254\) 14.5435i 0.912538i
\(255\) −2.63139 9.83772i −0.164784 0.616062i
\(256\) 0.415415 0.909632i 0.0259634 0.0568520i
\(257\) 20.0570 5.88927i 1.25112 0.367363i 0.411939 0.911211i \(-0.364852\pi\)
0.839183 + 0.543849i \(0.183033\pi\)
\(258\) 0.820873 + 5.43204i 0.0511053 + 0.338184i
\(259\) −34.7749 10.2108i −2.16081 0.634470i
\(260\) 4.38098 + 0.771072i 0.271697 + 0.0478198i
\(261\) 4.44988 + 6.71023i 0.275441 + 0.415353i
\(262\) 3.20258 2.77505i 0.197856 0.171443i
\(263\) 0.615564 0.957836i 0.0379573 0.0590627i −0.821756 0.569839i \(-0.807006\pi\)
0.859714 + 0.510776i \(0.170642\pi\)
\(264\) 5.31784 + 6.04877i 0.327290 + 0.372276i
\(265\) −19.4853 + 15.8403i −1.19698 + 0.973062i
\(266\) 10.6825 16.6223i 0.654984 1.01918i
\(267\) −23.9893 + 0.172305i −1.46812 + 0.0105449i
\(268\) 1.13046 + 2.47536i 0.0690537 + 0.151207i
\(269\) −4.87737 7.58933i −0.297378 0.462730i 0.660123 0.751157i \(-0.270504\pi\)
−0.957502 + 0.288427i \(0.906868\pi\)
\(270\) 11.6184 + 0.114711i 0.707072 + 0.00698111i
\(271\) 0.148025 0.170830i 0.00899189 0.0103772i −0.751236 0.660034i \(-0.770542\pi\)
0.760228 + 0.649657i \(0.225087\pi\)
\(272\) −0.740783 2.52288i −0.0449166 0.152972i
\(273\) −11.9251 + 5.54985i −0.721738 + 0.335892i
\(274\) 2.09107 0.300651i 0.126326 0.0181630i
\(275\) 1.85706 + 23.1756i 0.111985 + 1.39754i
\(276\) −7.09594 + 4.31830i −0.427125 + 0.259931i
\(277\) 8.18154i 0.491581i −0.969323 0.245791i \(-0.920952\pi\)
0.969323 0.245791i \(-0.0790476\pi\)
\(278\) 0.567562 + 3.94748i 0.0340401 + 0.236754i
\(279\) 13.9666 + 3.88395i 0.836161 + 0.232526i
\(280\) −3.78809 + 7.64925i −0.226382 + 0.457130i
\(281\) −13.9631 + 16.1143i −0.832968 + 0.961297i −0.999695 0.0247066i \(-0.992135\pi\)
0.166727 + 0.986003i \(0.446680\pi\)
\(282\) −14.7581 + 9.63496i −0.878834 + 0.573753i
\(283\) 9.70757 6.23868i 0.577055 0.370851i −0.219321 0.975653i \(-0.570384\pi\)
0.796376 + 0.604802i \(0.206748\pi\)
\(284\) 4.60719 2.10403i 0.273386 0.124851i
\(285\) −14.8278 13.4912i −0.878324 0.799152i
\(286\) −5.00117 + 7.78197i −0.295725 + 0.460157i
\(287\) −11.5015 1.65367i −0.678913 0.0976130i
\(288\) 2.99969 0.0430932i 0.176758 0.00253929i
\(289\) 8.48517 + 5.45309i 0.499128 + 0.320770i
\(290\) −0.188532 + 5.99836i −0.0110710 + 0.352236i
\(291\) 6.97704 + 1.99433i 0.409001 + 0.116909i
\(292\) −3.84089 5.97655i −0.224771 0.349751i
\(293\) 8.64546 29.4437i 0.505073 1.72012i −0.172814 0.984955i \(-0.555286\pi\)
0.677887 0.735166i \(-0.262896\pi\)
\(294\) −1.95970 12.9681i −0.114292 0.756315i
\(295\) 1.86881 + 0.925480i 0.108806 + 0.0538835i
\(296\) −3.94407 + 8.63631i −0.229244 + 0.501975i
\(297\) −9.56140 + 22.1897i −0.554808 + 1.28758i
\(298\) 10.8222 0.626912
\(299\) −7.00870 6.47309i −0.405324 0.374348i
\(300\) 7.01373 + 5.08012i 0.404938 + 0.293301i
\(301\) −1.72313 11.9846i −0.0993194 0.690781i
\(302\) 3.71725 8.13964i 0.213904 0.468384i
\(303\) −9.20379 4.12360i −0.528744 0.236895i
\(304\) −3.91182 3.38961i −0.224358 0.194408i
\(305\) −13.9793 23.3327i −0.800453 1.33603i
\(306\) 5.88665 5.25074i 0.336517 0.300165i
\(307\) −25.9954 + 11.8717i −1.48363 + 0.677553i −0.982234 0.187663i \(-0.939909\pi\)
−0.501400 + 0.865215i \(0.667182\pi\)
\(308\) −11.6242 13.4150i −0.662349 0.764391i
\(309\) 22.8002 6.87301i 1.29706 0.390992i
\(310\) 6.81584 + 8.38424i 0.387114 + 0.476193i
\(311\) 16.8300 + 2.41978i 0.954340 + 0.137213i 0.601856 0.798605i \(-0.294428\pi\)
0.352484 + 0.935818i \(0.385337\pi\)
\(312\) 0.994474 + 3.29902i 0.0563010 + 0.186770i
\(313\) 0.958412 + 1.10607i 0.0541727 + 0.0625186i 0.782189 0.623041i \(-0.214103\pi\)
−0.728016 + 0.685560i \(0.759558\pi\)
\(314\) −5.56168 12.1784i −0.313864 0.687266i
\(315\) −25.6038 0.436725i −1.44261 0.0246067i
\(316\) 2.29627 7.82039i 0.129175 0.439931i
\(317\) −1.89825 + 2.19069i −0.106616 + 0.123042i −0.806549 0.591167i \(-0.798668\pi\)
0.699933 + 0.714208i \(0.253213\pi\)
\(318\) −17.7512 7.95311i −0.995437 0.445988i
\(319\) −11.3522 5.18437i −0.635600 0.290269i
\(320\) 1.84219 + 1.26741i 0.102982 + 0.0708503i
\(321\) 24.8226 + 21.1987i 1.38546 + 1.18320i
\(322\) 15.7070 9.40472i 0.875318 0.524105i
\(323\) −13.6099 −0.757276
\(324\) 3.97236 + 8.07591i 0.220687 + 0.448662i
\(325\) −3.39614 + 9.34901i −0.188384 + 0.518590i
\(326\) −5.43498 18.5098i −0.301016 1.02517i
\(327\) 13.8088 2.08675i 0.763631 0.115398i
\(328\) −0.857578 + 2.92064i −0.0473518 + 0.161266i
\(329\) 32.6778 21.0008i 1.80159 1.15781i
\(330\) −15.3819 + 9.36653i −0.846747 + 0.515611i
\(331\) 8.59661 + 9.92102i 0.472512 + 0.545308i 0.941109 0.338104i \(-0.109786\pi\)
−0.468596 + 0.883412i \(0.655240\pi\)
\(332\) 4.06215 6.32083i 0.222939 0.346901i
\(333\) −28.4799 + 0.409139i −1.56069 + 0.0224207i
\(334\) −2.05782 + 14.3125i −0.112599 + 0.783143i
\(335\) −5.88944 + 1.53007i −0.321775 + 0.0835965i
\(336\) −6.61167 + 0.0474887i −0.360696 + 0.00259072i
\(337\) −9.64730 21.1246i −0.525522 1.15073i −0.967306 0.253611i \(-0.918382\pi\)
0.441785 0.897121i \(-0.354346\pi\)
\(338\) 7.60703 4.88874i 0.413768 0.265912i
\(339\) 7.34190 + 11.2458i 0.398757 + 0.610788i
\(340\) 5.84305 0.653500i 0.316884 0.0354410i
\(341\) −21.5595 + 6.33044i −1.16751 + 0.342813i
\(342\) 4.16034 14.9606i 0.224966 0.808974i
\(343\) 0.310823 + 2.16182i 0.0167829 + 0.116727i
\(344\) −3.17180 −0.171012
\(345\) −6.75945 17.3006i −0.363917 0.931432i
\(346\) −9.00438 −0.484079
\(347\) 3.51504 + 24.4477i 0.188697 + 1.31242i 0.835385 + 0.549665i \(0.185245\pi\)
−0.646688 + 0.762755i \(0.723846\pi\)
\(348\) −4.21454 + 1.96142i −0.225923 + 0.105143i
\(349\) −31.6929 + 9.30588i −1.69648 + 0.498133i −0.979920 0.199389i \(-0.936104\pi\)
−0.716563 + 0.697522i \(0.754286\pi\)
\(350\) −15.3771 11.3071i −0.821939 0.604387i
\(351\) −7.66449 + 6.93602i −0.409100 + 0.370217i
\(352\) −3.91182 + 2.51397i −0.208500 + 0.133995i
\(353\) 2.44281 + 5.34902i 0.130018 + 0.284699i 0.963434 0.267947i \(-0.0863452\pi\)
−0.833416 + 0.552647i \(0.813618\pi\)
\(354\) 0.0116021 + 1.61532i 0.000616645 + 0.0858531i
\(355\) 2.84779 + 10.9616i 0.151145 + 0.581779i
\(356\) 1.97114 13.7096i 0.104470 0.726607i
\(357\) −13.0566 + 11.4789i −0.691031 + 0.607526i
\(358\) 0.129541 0.201570i 0.00684647 0.0106533i
\(359\) −17.1519 19.7944i −0.905244 1.04471i −0.998794 0.0490931i \(-0.984367\pi\)
0.0935499 0.995615i \(-0.470179\pi\)
\(360\) −1.06778 + 6.62268i −0.0562769 + 0.349046i
\(361\) −6.55492 + 4.21259i −0.344996 + 0.221715i
\(362\) 4.52481 15.4101i 0.237819 0.809937i
\(363\) −2.74910 18.1919i −0.144291 0.954827i
\(364\) −2.13949 7.28643i −0.112140 0.381912i
\(365\) 14.6504 6.14198i 0.766837 0.321486i
\(366\) 11.2632 17.8057i 0.588735 0.930720i
\(367\) −9.03990 −0.471879 −0.235939 0.971768i \(-0.575817\pi\)
−0.235939 + 0.971768i \(0.575817\pi\)
\(368\) −1.85303 4.42338i −0.0965958 0.230585i
\(369\) −9.01928 + 1.42930i −0.469525 + 0.0744063i
\(370\) −17.4903 12.0331i −0.909279 0.625573i
\(371\) 38.9958 + 17.8088i 2.02456 + 0.924585i
\(372\) −3.42210 + 7.63806i −0.177428 + 0.396015i
\(373\) −21.4375 + 24.7402i −1.10999 + 1.28100i −0.153848 + 0.988094i \(0.549167\pi\)
−0.956142 + 0.292903i \(0.905379\pi\)
\(374\) −3.44463 + 11.7313i −0.178118 + 0.606613i
\(375\) −13.9061 + 13.4767i −0.718106 + 0.695934i
\(376\) −4.22714 9.25615i −0.217998 0.477349i
\(377\) −3.49641 4.03507i −0.180074 0.207817i
\(378\) −8.62681 17.8613i −0.443715 0.918686i
\(379\) −17.0802 2.45576i −0.877350 0.126144i −0.311100 0.950377i \(-0.600697\pi\)
−0.566250 + 0.824233i \(0.691607\pi\)
\(380\) 8.98089 7.30088i 0.460710 0.374527i
\(381\) −7.27026 24.1181i −0.372467 1.23561i
\(382\) −14.1654 16.3478i −0.724766 0.836425i
\(383\) 9.30017 4.24725i 0.475217 0.217024i −0.163384 0.986563i \(-0.552241\pi\)
0.638601 + 0.769538i \(0.279514\pi\)
\(384\) −0.234177 + 1.71615i −0.0119503 + 0.0875768i
\(385\) 34.0483 20.3993i 1.73526 1.03965i
\(386\) 2.66028 + 2.30515i 0.135405 + 0.117329i
\(387\) −4.07676 8.59783i −0.207233 0.437052i
\(388\) −1.74039 + 3.81093i −0.0883551 + 0.193471i
\(389\) −2.52209 17.5415i −0.127875 0.889389i −0.948241 0.317551i \(-0.897140\pi\)
0.820366 0.571838i \(-0.193770\pi\)
\(390\) −7.65063 + 0.911347i −0.387405 + 0.0461478i
\(391\) −11.2988 5.59925i −0.571404 0.283166i
\(392\) 7.57214 0.382451
\(393\) −3.92374 + 6.20296i −0.197926 + 0.312898i
\(394\) −8.73868 + 19.1350i −0.440248 + 0.964009i
\(395\) 16.3322 + 8.08807i 0.821760 + 0.406955i
\(396\) −11.8426 7.37256i −0.595112 0.370485i
\(397\) 4.78779 16.3057i 0.240292 0.818360i −0.747724 0.664010i \(-0.768853\pi\)
0.988016 0.154351i \(-0.0493285\pi\)
\(398\) 14.9345 + 23.2385i 0.748598 + 1.16484i
\(399\) −9.40576 + 32.9055i −0.470877 + 1.64734i
\(400\) −3.50514 + 3.56567i −0.175257 + 0.178283i
\(401\) −4.70729 3.02519i −0.235071 0.151071i 0.417803 0.908538i \(-0.362800\pi\)
−0.652874 + 0.757467i \(0.726437\pi\)
\(402\) −3.11211 3.53988i −0.155218 0.176553i
\(403\) −9.51511 1.36807i −0.473981 0.0681482i
\(404\) 3.14803 4.89842i 0.156620 0.243706i
\(405\) −19.3246 + 5.61779i −0.960248 + 0.279150i
\(406\) 9.31943 4.25604i 0.462516 0.211224i
\(407\) 37.1399 23.8684i 1.84096 1.18311i
\(408\) 2.48965 + 3.81348i 0.123256 + 0.188795i
\(409\) 18.2942 21.1126i 0.904589 1.04395i −0.0942387 0.995550i \(-0.530042\pi\)
0.998828 0.0484020i \(-0.0154128\pi\)
\(410\) −6.09950 3.02062i −0.301233 0.149178i
\(411\) −3.31742 + 1.54391i −0.163636 + 0.0761553i
\(412\) 1.95666 + 13.6089i 0.0963977 + 0.670461i
\(413\) 3.56016i 0.175184i
\(414\) 9.60878 10.7085i 0.472246 0.526292i
\(415\) 12.3454 + 11.3957i 0.606010 + 0.559393i
\(416\) −1.96910 + 0.283114i −0.0965431 + 0.0138808i
\(417\) −2.91455 6.26255i −0.142726 0.306678i
\(418\) 6.78094 + 23.0938i 0.331667 + 1.12955i
\(419\) 20.8480 24.0599i 1.01849 1.17540i 0.0340999 0.999418i \(-0.489144\pi\)
0.984393 0.175985i \(-0.0563110\pi\)
\(420\) 2.45810 14.5787i 0.119943 0.711370i
\(421\) 16.8206 + 26.1733i 0.819785 + 1.27561i 0.958447 + 0.285271i \(0.0920836\pi\)
−0.138662 + 0.990340i \(0.544280\pi\)
\(422\) −6.93608 15.1879i −0.337643 0.739336i
\(423\) 19.6576 23.3556i 0.955783 1.13559i
\(424\) 6.07154 9.44750i 0.294860 0.458811i
\(425\) −0.825616 + 13.1210i −0.0400483 + 0.636460i
\(426\) −6.58850 + 5.79234i −0.319214 + 0.280640i
\(427\) −25.1046 + 39.0636i −1.21490 + 1.89042i
\(428\) −14.2431 + 12.3417i −0.688465 + 0.596558i
\(429\) 4.40345 15.4052i 0.212601 0.743772i
\(430\) 1.22939 6.98499i 0.0592864 0.336846i
\(431\) −24.6425 7.23570i −1.18699 0.348532i −0.372125 0.928183i \(-0.621371\pi\)
−0.814865 + 0.579651i \(0.803189\pi\)
\(432\) −4.95297 + 1.57101i −0.238300 + 0.0755850i
\(433\) 28.4735 8.36057i 1.36835 0.401783i 0.486650 0.873597i \(-0.338219\pi\)
0.881698 + 0.471814i \(0.156400\pi\)
\(434\) 7.66284 16.7793i 0.367828 0.805431i
\(435\) −2.68592 10.0416i −0.128780 0.481457i
\(436\) 8.06306i 0.386150i
\(437\) −24.6706 + 2.75243i −1.18015 + 0.131666i
\(438\) 9.35719 + 7.99111i 0.447104 + 0.381830i
\(439\) −3.54504 24.6563i −0.169195 1.17678i −0.880552 0.473949i \(-0.842828\pi\)
0.711357 0.702831i \(-0.248081\pi\)
\(440\) −4.02009 9.58909i −0.191650 0.457142i
\(441\) 9.73259 + 20.5259i 0.463457 + 0.977424i
\(442\) −3.42542 + 3.95315i −0.162931 + 0.188032i
\(443\) −1.49942 0.440270i −0.0712397 0.0209179i 0.245919 0.969291i \(-0.420910\pi\)
−0.317158 + 0.948373i \(0.602729\pi\)
\(444\) 2.22334 16.2936i 0.105515 0.773260i
\(445\) 29.4275 + 9.65473i 1.39500 + 0.457678i
\(446\) 2.34209 2.02943i 0.110901 0.0960962i
\(447\) −17.9469 + 5.41000i −0.848859 + 0.255884i
\(448\) 0.543265 3.77849i 0.0256669 0.178517i
\(449\) 29.9695 + 4.30896i 1.41435 + 0.203353i 0.806750 0.590893i \(-0.201224\pi\)
0.607598 + 0.794245i \(0.292133\pi\)
\(450\) −14.1707 4.91843i −0.668014 0.231857i
\(451\) 10.6971 9.26909i 0.503707 0.436464i
\(452\) −7.05325 + 3.22111i −0.331757 + 0.151508i
\(453\) −2.09548 + 15.3566i −0.0984541 + 0.721514i
\(454\) 2.57570 8.77203i 0.120884 0.411692i
\(455\) 16.8756 1.88740i 0.791139 0.0884827i
\(456\) 8.18161 + 3.66563i 0.383139 + 0.171659i
\(457\) 14.3451 31.4114i 0.671035 1.46936i −0.200834 0.979625i \(-0.564365\pi\)
0.871870 0.489737i \(-0.162907\pi\)
\(458\) −19.7192 + 2.83520i −0.921419 + 0.132480i
\(459\) −7.13725 + 11.6503i −0.333138 + 0.543787i
\(460\) 10.4595 2.36627i 0.487676 0.110328i
\(461\) 1.00394i 0.0467583i −0.999727 0.0233792i \(-0.992558\pi\)
0.999727 0.0233792i \(-0.00744250\pi\)
\(462\) 25.9830 + 16.4358i 1.20884 + 0.764662i
\(463\) 2.06758 + 0.944230i 0.0960884 + 0.0438821i 0.462879 0.886421i \(-0.346816\pi\)
−0.366791 + 0.930303i \(0.619544\pi\)
\(464\) −0.756135 2.57516i −0.0351027 0.119549i
\(465\) −15.4943 10.4967i −0.718530 0.486774i
\(466\) 4.58774 + 1.34708i 0.212523 + 0.0624024i
\(467\) −6.19831 9.64476i −0.286824 0.446306i 0.667705 0.744426i \(-0.267277\pi\)
−0.954528 + 0.298120i \(0.903640\pi\)
\(468\) −3.29836 4.97378i −0.152467 0.229913i
\(469\) 6.80272 + 7.85076i 0.314121 + 0.362514i
\(470\) 22.0225 5.72141i 1.01582 0.263909i
\(471\) 15.3111 + 17.4157i 0.705500 + 0.802471i
\(472\) −0.923134 0.132727i −0.0424907 0.00610924i
\(473\) 12.4075 + 7.97381i 0.570497 + 0.366636i
\(474\) 0.101395 + 14.1168i 0.00465721 + 0.648405i
\(475\) 12.5971 + 22.6077i 0.577996 + 1.03731i
\(476\) −5.42656 8.44389i −0.248726 0.387025i
\(477\) 33.4133 + 4.31518i 1.52989 + 0.197579i
\(478\) −11.0521 9.57674i −0.505513 0.438030i
\(479\) −7.78506 + 2.28590i −0.355708 + 0.104445i −0.454704 0.890642i \(-0.650255\pi\)
0.0989960 + 0.995088i \(0.468437\pi\)
\(480\) −3.68856 1.18089i −0.168359 0.0538998i
\(481\) 18.6952 2.68797i 0.852429 0.122561i
\(482\) 4.94358i 0.225174i
\(483\) −21.3462 + 23.4482i −0.971286 + 1.06693i
\(484\) 10.6224 0.482834
\(485\) −7.71792 5.30984i −0.350453 0.241107i
\(486\) −10.6247 11.4069i −0.481945 0.517425i
\(487\) 4.64855 + 15.8315i 0.210646 + 0.717393i 0.995246 + 0.0973917i \(0.0310499\pi\)
−0.784600 + 0.620002i \(0.787132\pi\)
\(488\) 9.19308 + 7.96585i 0.416151 + 0.360597i
\(489\) 18.2661 + 27.9787i 0.826022 + 1.26524i
\(490\) −2.93496 + 16.6755i −0.132588 + 0.753323i
\(491\) −10.0564 + 4.59262i −0.453840 + 0.207262i −0.629202 0.777242i \(-0.716618\pi\)
0.175361 + 0.984504i \(0.443891\pi\)
\(492\) −0.0378674 5.27213i −0.00170720 0.237686i
\(493\) −5.93667 3.81527i −0.267374 0.171831i
\(494\) −1.46542 + 10.1922i −0.0659324 + 0.458570i
\(495\) 20.8262 23.2223i 0.936067 1.04377i
\(496\) −4.06511 2.61249i −0.182529 0.117304i
\(497\) 14.6120 12.6614i 0.655438 0.567940i
\(498\) −3.57666 + 12.5128i −0.160274 + 0.560711i
\(499\) 1.17804 0.757081i 0.0527363 0.0338916i −0.514007 0.857786i \(-0.671839\pi\)
0.566743 + 0.823894i \(0.308203\pi\)
\(500\) −6.49378 9.10114i −0.290411 0.407015i
\(501\) −3.74221 24.7637i −0.167190 1.10636i
\(502\) 18.8418 5.53246i 0.840952 0.246926i
\(503\) 8.62223 + 3.93764i 0.384446 + 0.175571i 0.598257 0.801304i \(-0.295860\pi\)
−0.213811 + 0.976875i \(0.568588\pi\)
\(504\) 10.9407 3.38392i 0.487336 0.150732i
\(505\) 9.56723 + 8.83127i 0.425736 + 0.392986i
\(506\) −3.87154 + 21.9619i −0.172111 + 0.976326i
\(507\) −10.1712 + 11.9099i −0.451718 + 0.528939i
\(508\) 14.3954 2.06975i 0.638694 0.0918303i
\(509\) 2.98323 + 1.36240i 0.132229 + 0.0603872i 0.480431 0.877033i \(-0.340480\pi\)
−0.348202 + 0.937420i \(0.613208\pi\)
\(510\) −9.36310 + 4.00466i −0.414605 + 0.177329i
\(511\) −20.4957 17.7596i −0.906677 0.785640i
\(512\) −0.959493 0.281733i −0.0424040 0.0124509i
\(513\) 0.579486 + 26.8895i 0.0255849 + 1.18720i
\(514\) −8.68374 19.0147i −0.383023 0.838704i
\(515\) −30.7281 0.965803i −1.35404 0.0425584i
\(516\) 5.25993 1.58558i 0.231555 0.0698012i
\(517\) −6.73389 + 46.8353i −0.296156 + 2.05981i
\(518\) −5.15792 + 35.8741i −0.226626 + 1.57622i
\(519\) 14.9324 4.50128i 0.655458 0.197584i
\(520\) 0.139744 4.44613i 0.00612820 0.194975i
\(521\) −10.4936 22.9777i −0.459731 1.00667i −0.987549 0.157313i \(-0.949717\pi\)
0.527818 0.849358i \(-0.323010\pi\)
\(522\) 6.00864 5.35955i 0.262991 0.234581i
\(523\) −19.7801 5.80795i −0.864922 0.253964i −0.180968 0.983489i \(-0.557923\pi\)
−0.683954 + 0.729525i \(0.739741\pi\)
\(524\) −3.20258 2.77505i −0.139906 0.121229i
\(525\) 31.1528 + 11.0640i 1.35962 + 0.482872i
\(526\) −1.03569 0.472984i −0.0451582 0.0206231i
\(527\) −12.5764 + 1.80821i −0.547837 + 0.0787670i
\(528\) 5.23040 6.12454i 0.227624 0.266536i
\(529\) −21.6136 7.86467i −0.939721 0.341942i
\(530\) 18.4521 + 17.0327i 0.801509 + 0.739853i
\(531\) −0.826735 2.67295i −0.0358772 0.115996i
\(532\) −17.9733 8.20815i −0.779243 0.355868i
\(533\) 5.81018 1.70602i 0.251667 0.0738961i
\(534\) 3.58458 + 23.7206i 0.155120 + 1.02649i
\(535\) −21.6585 36.1500i −0.936378 1.56290i
\(536\) 2.28928 1.47123i 0.0988819 0.0635475i
\(537\) −0.114059 + 0.399030i −0.00492202 + 0.0172194i
\(538\) −6.81796 + 5.90780i −0.293943 + 0.254703i
\(539\) −29.6208 19.0361i −1.27586 0.819945i
\(540\) −1.53992 11.5165i −0.0662678 0.495589i
\(541\) 4.32457 30.0780i 0.185928 1.29315i −0.656492 0.754333i \(-0.727961\pi\)
0.842420 0.538822i \(-0.181130\pi\)
\(542\) −0.190157 0.122207i −0.00816796 0.00524923i
\(543\) 0.199799 + 27.8172i 0.00857418 + 1.19375i
\(544\) −2.39177 + 1.09229i −0.102546 + 0.0468314i
\(545\) −17.7566 3.12524i −0.760610 0.133871i
\(546\) 7.19048 + 11.0139i 0.307724 + 0.471350i
\(547\) −3.39453 2.94137i −0.145140 0.125764i 0.579265 0.815139i \(-0.303340\pi\)
−0.724404 + 0.689375i \(0.757885\pi\)
\(548\) −0.595181 2.02700i −0.0254249 0.0865892i
\(549\) −9.77713 + 35.1584i −0.417278 + 1.50053i
\(550\) 22.6755 5.13640i 0.966885 0.219017i
\(551\) −13.8920 −0.591817
\(552\) 5.28420 + 6.40915i 0.224910 + 0.272792i
\(553\) 31.1134i 1.32308i
\(554\) −8.09827 + 1.16435i −0.344062 + 0.0494687i
\(555\) 35.0203 + 11.2117i 1.48653 + 0.475909i
\(556\) 3.82653 1.12357i 0.162281 0.0476500i
\(557\) 26.5925 + 23.0426i 1.12676 + 0.976345i 0.999879 0.0155724i \(-0.00495705\pi\)
0.126884 + 0.991918i \(0.459503\pi\)
\(558\) 1.85676 14.3772i 0.0786028 0.608637i
\(559\) 3.41134 + 5.30815i 0.144284 + 0.224511i
\(560\) 8.11050 + 2.66093i 0.342731 + 0.112445i
\(561\) −0.152102 21.1765i −0.00642174 0.894074i
\(562\) 17.9374 + 11.5277i 0.756644 + 0.486265i
\(563\) 39.3791 + 5.66187i 1.65963 + 0.238619i 0.907397 0.420274i \(-0.138066\pi\)
0.752236 + 0.658894i \(0.228975\pi\)
\(564\) 11.6372 + 13.2367i 0.490014 + 0.557367i
\(565\) −4.35975 16.7813i −0.183416 0.705994i
\(566\) −7.55671 8.72090i −0.317632 0.366567i
\(567\) 23.2350 + 25.3076i 0.975780 + 1.06282i
\(568\) −2.73829 4.26086i −0.114896 0.178782i
\(569\) 7.47177 + 2.19391i 0.313233 + 0.0919734i 0.434570 0.900638i \(-0.356900\pi\)
−0.121338 + 0.992611i \(0.538718\pi\)
\(570\) −11.2437 + 16.5969i −0.470947 + 0.695167i
\(571\) 3.33706 + 11.3650i 0.139652 + 0.475609i 0.999382 0.0351378i \(-0.0111870\pi\)
−0.859731 + 0.510747i \(0.829369\pi\)
\(572\) 8.41450 + 3.84277i 0.351828 + 0.160674i
\(573\) 31.6634 + 20.0289i 1.32276 + 0.836721i
\(574\) 11.6198i 0.485001i
\(575\) 1.15696 + 23.9512i 0.0482485 + 0.998835i
\(576\) −0.469555 2.96303i −0.0195648 0.123459i
\(577\) 21.9851 3.16098i 0.915252 0.131593i 0.331434 0.943478i \(-0.392467\pi\)
0.583817 + 0.811885i \(0.301558\pi\)
\(578\) 4.19002 9.17486i 0.174282 0.381624i
\(579\) −5.56401 2.49286i −0.231232 0.103600i
\(580\) 5.96414 0.667043i 0.247647 0.0276974i
\(581\) 8.08064 27.5201i 0.335242 1.14173i
\(582\) 0.981089 7.18985i 0.0406675 0.298029i
\(583\) −47.5015 + 21.6932i −1.96731 + 0.898440i
\(584\) −5.36910 + 4.65235i −0.222175 + 0.192516i
\(585\) 12.2318 5.33587i 0.505722 0.220611i
\(586\) −30.3744 4.36718i −1.25476 0.180407i
\(587\) −1.61819 + 11.2547i −0.0667898 + 0.464533i 0.928789 + 0.370608i \(0.120851\pi\)
−0.995579 + 0.0939253i \(0.970059\pi\)
\(588\) −12.5572 + 3.78530i −0.517850 + 0.156103i
\(589\) −18.9027 + 16.3793i −0.778874 + 0.674898i
\(590\) 0.650100 1.98150i 0.0267642 0.0815770i
\(591\) 4.92614 36.1009i 0.202634 1.48499i
\(592\) 9.10971 + 2.67485i 0.374407 + 0.109936i
\(593\) 6.73764 7.77565i 0.276682 0.319308i −0.600353 0.799735i \(-0.704973\pi\)
0.877034 + 0.480428i \(0.159519\pi\)
\(594\) 23.3246 + 6.30615i 0.957019 + 0.258744i
\(595\) 20.6986 8.67762i 0.848561 0.355748i
\(596\) −1.54016 10.7120i −0.0630873 0.438782i
\(597\) −36.3834 31.0717i −1.48907 1.27168i
\(598\) −5.40976 + 7.85858i −0.221221 + 0.321361i
\(599\) 5.79460i 0.236761i −0.992968 0.118381i \(-0.962230\pi\)
0.992968 0.118381i \(-0.0377703\pi\)
\(600\) 4.03026 7.66531i 0.164535 0.312935i
\(601\) −10.2917 + 22.5356i −0.419806 + 0.919247i 0.575066 + 0.818107i \(0.304976\pi\)
−0.994872 + 0.101140i \(0.967751\pi\)
\(602\) −11.6174 + 3.41118i −0.473490 + 0.139029i
\(603\) 6.93053 + 4.31459i 0.282233 + 0.175704i
\(604\) −8.58581 2.52102i −0.349352 0.102579i
\(605\) −4.11722 + 23.3927i −0.167389 + 0.951050i
\(606\) −2.77179 + 9.69696i −0.112596 + 0.393912i
\(607\) 33.8686 29.3474i 1.37469 1.19117i 0.415094 0.909779i \(-0.363749\pi\)
0.959592 0.281393i \(-0.0907966\pi\)
\(608\) −2.79840 + 4.35440i −0.113490 + 0.176594i
\(609\) −13.3272 + 11.7168i −0.540046 + 0.474787i
\(610\) −21.1058 + 17.1576i −0.854548 + 0.694692i
\(611\) −10.9442 + 17.0295i −0.442755 + 0.688941i
\(612\) −6.03505 5.07947i −0.243953 0.205326i
\(613\) −14.2059 31.1065i −0.573770 1.25638i −0.944766 0.327746i \(-0.893711\pi\)
0.370996 0.928635i \(-0.379016\pi\)
\(614\) 15.4504 + 24.0413i 0.623526 + 0.970226i
\(615\) 11.6251 + 1.96008i 0.468768 + 0.0790382i
\(616\) −11.6242 + 13.4150i −0.468351 + 0.540506i
\(617\) 4.93341 + 16.8016i 0.198611 + 0.676409i 0.997217 + 0.0745538i \(0.0237532\pi\)
−0.798605 + 0.601855i \(0.794429\pi\)
\(618\) −10.0479 21.5900i −0.404185 0.868479i
\(619\) 32.7292 4.70576i 1.31550 0.189140i 0.551401 0.834240i \(-0.314093\pi\)
0.764098 + 0.645100i \(0.223184\pi\)
\(620\) 7.32891 7.93967i 0.294336 0.318865i
\(621\) −10.5815 + 22.5617i −0.424621 + 0.905371i
\(622\) 17.0030i 0.681759i
\(623\) −7.52454 52.3343i −0.301464 2.09673i
\(624\) 3.12392 1.45385i 0.125057 0.0582006i
\(625\) 22.5597 10.7731i 0.902388 0.430925i
\(626\) 0.958412 1.10607i 0.0383059 0.0442073i
\(627\) −22.7897 34.9076i −0.910131 1.39407i
\(628\) −11.2629 + 7.23824i −0.449439 + 0.288837i
\(629\) 22.7082 10.3705i 0.905434 0.413498i
\(630\) 3.21152 + 25.4054i 0.127950 + 1.01217i
\(631\) 9.34723 14.5446i 0.372107 0.579010i −0.603816 0.797124i \(-0.706354\pi\)
0.975923 + 0.218113i \(0.0699902\pi\)
\(632\) −8.06758 1.15994i −0.320911 0.0461400i
\(633\) 19.0948 + 21.7194i 0.758951 + 0.863269i
\(634\) 2.43854 + 1.56716i 0.0968469 + 0.0622397i
\(635\) −1.02162 + 32.5041i −0.0405419 + 1.28989i
\(636\) −5.34590 + 18.7023i −0.211979 + 0.741596i
\(637\) −8.14401 12.6723i −0.322678 0.502096i
\(638\) −3.51601 + 11.9744i −0.139200 + 0.474073i
\(639\) 8.03040 12.8993i 0.317678 0.510287i
\(640\) 0.992336 2.00381i 0.0392255 0.0792077i
\(641\) 5.84502 12.7988i 0.230864 0.505522i −0.758377 0.651816i \(-0.774007\pi\)
0.989241 + 0.146294i \(0.0467346\pi\)
\(642\) 17.4503 27.5868i 0.688708 1.08877i
\(643\) −27.4053 −1.08076 −0.540379 0.841421i \(-0.681719\pi\)
−0.540379 + 0.841421i \(0.681719\pi\)
\(644\) −11.5443 14.2087i −0.454911 0.559902i
\(645\) 1.45304 + 12.1981i 0.0572135 + 0.480299i
\(646\) 1.93689 + 13.4714i 0.0762060 + 0.530024i
\(647\) 4.42965 9.69958i 0.174147 0.381330i −0.802352 0.596852i \(-0.796418\pi\)
0.976499 + 0.215522i \(0.0691453\pi\)
\(648\) 7.42838 5.08125i 0.291814 0.199610i
\(649\) 3.27746 + 2.83994i 0.128652 + 0.111477i
\(650\) 9.73717 + 2.03107i 0.381923 + 0.0796649i
\(651\) −4.31967 + 31.6564i −0.169301 + 1.24071i
\(652\) −17.5480 + 8.01388i −0.687231 + 0.313848i
\(653\) −8.93581 10.3125i −0.349685 0.403558i 0.553472 0.832868i \(-0.313303\pi\)
−0.903158 + 0.429309i \(0.858757\pi\)
\(654\) −4.03071 13.3713i −0.157613 0.522860i
\(655\) 7.35260 5.97718i 0.287290 0.233548i
\(656\) 3.01296 + 0.433198i 0.117636 + 0.0169136i
\(657\) −19.5122 8.57435i −0.761242 0.334517i
\(658\) −25.4375 29.3565i −0.991659 1.14444i
\(659\) 5.09394 + 11.1542i 0.198432 + 0.434505i 0.982523 0.186141i \(-0.0595980\pi\)
−0.784092 + 0.620645i \(0.786871\pi\)
\(660\) 11.4603 + 13.8924i 0.446090 + 0.540759i
\(661\) 6.55010 22.3076i 0.254769 0.867665i −0.728428 0.685122i \(-0.759749\pi\)
0.983198 0.182543i \(-0.0584329\pi\)
\(662\) 8.59661 9.92102i 0.334117 0.385591i
\(663\) 3.70435 8.26804i 0.143865 0.321104i
\(664\) −6.83460 3.12126i −0.265234 0.121128i
\(665\) 25.0426 36.3997i 0.971110 1.41152i
\(666\) 4.45809 + 28.1318i 0.172748 + 1.09009i
\(667\) −11.5329 5.71528i −0.446557 0.221297i
\(668\) 14.4596 0.559460
\(669\) −2.86947 + 4.53629i −0.110940 + 0.175383i
\(670\) 2.35265 + 5.61175i 0.0908907 + 0.216801i
\(671\) −15.9357 54.2721i −0.615192 2.09515i
\(672\) 0.987944 + 6.53761i 0.0381108 + 0.252194i
\(673\) −9.23387 + 31.4477i −0.355940 + 1.21222i 0.565844 + 0.824513i \(0.308551\pi\)
−0.921783 + 0.387706i \(0.873268\pi\)
\(674\) −19.5367 + 12.5554i −0.752524 + 0.483618i
\(675\) 25.9586 + 1.07252i 0.999148 + 0.0412815i
\(676\) −5.92157 6.83386i −0.227753 0.262841i
\(677\) −10.4276 + 16.2257i −0.400767 + 0.623606i −0.981720 0.190332i \(-0.939044\pi\)
0.580953 + 0.813937i \(0.302680\pi\)
\(678\) 10.0865 8.86761i 0.387369 0.340559i
\(679\) −2.27602 + 15.8301i −0.0873458 + 0.607503i
\(680\) −1.47840 5.69057i −0.0566941 0.218224i
\(681\) 0.113733 + 15.8346i 0.00435827 + 0.606784i
\(682\) 9.33425 + 20.4392i 0.357427 + 0.782656i
\(683\) −33.5558 + 21.5650i −1.28398 + 0.825163i −0.991373 0.131071i \(-0.958159\pi\)
−0.292605 + 0.956233i \(0.594522\pi\)
\(684\) −15.4004 1.98889i −0.588847 0.0760471i
\(685\) 4.69459 0.525054i 0.179371 0.0200613i
\(686\) 2.09558 0.615319i 0.0800098 0.0234930i
\(687\) 31.2839 14.5593i 1.19356 0.555474i
\(688\) 0.451394 + 3.13951i 0.0172092 + 0.119693i
\(689\) −22.3409 −0.851121
\(690\) −16.1625 + 9.15278i −0.615296 + 0.348440i
\(691\) 21.6697 0.824355 0.412177 0.911104i \(-0.364768\pi\)
0.412177 + 0.911104i \(0.364768\pi\)
\(692\) 1.28146 + 8.91273i 0.0487137 + 0.338811i
\(693\) −51.3050 14.2673i −1.94891 0.541969i
\(694\) 23.6986 6.95853i 0.899586 0.264142i
\(695\) 0.991185 + 8.86234i 0.0375978 + 0.336168i
\(696\) 2.54125 + 3.89250i 0.0963258 + 0.147545i
\(697\) 6.73314 4.32713i 0.255036 0.163902i
\(698\) 13.7215 + 30.0460i 0.519368 + 1.13726i
\(699\) −8.28145 + 0.0594821i −0.313233 + 0.00224982i
\(700\) −9.00358 + 16.8297i −0.340303 + 0.636103i
\(701\) −1.64319 + 11.4286i −0.0620625 + 0.431654i 0.934974 + 0.354718i \(0.115423\pi\)
−0.997036 + 0.0769365i \(0.975486\pi\)
\(702\) 7.95619 + 6.59938i 0.300287 + 0.249078i
\(703\) 26.5688 41.3419i 1.00206 1.55924i
\(704\) 3.04509 + 3.51422i 0.114766 + 0.132447i
\(705\) −33.6607 + 20.4971i −1.26774 + 0.771965i
\(706\) 4.94692 3.17919i 0.186180 0.119651i
\(707\) 6.26222 21.3272i 0.235515 0.802090i
\(708\) 1.59722 0.241367i 0.0600273 0.00907114i
\(709\) −1.87388 6.38183i −0.0703749 0.239675i 0.916792 0.399364i \(-0.130769\pi\)
−0.987167 + 0.159689i \(0.948951\pi\)
\(710\) 10.4447 4.37880i 0.391983 0.164333i
\(711\) −7.22511 23.3598i −0.270963 0.876060i
\(712\) −13.8506 −0.519072
\(713\) −22.4314 + 5.82115i −0.840064 + 0.218004i
\(714\) 13.2202 + 11.2901i 0.494753 + 0.422523i
\(715\) −11.7241 + 17.0411i −0.438456 + 0.637301i
\(716\) −0.217954 0.0995364i −0.00814533 0.00371985i
\(717\) 23.1156 + 10.3566i 0.863270 + 0.386773i
\(718\) −17.1519 + 19.7944i −0.640104 + 0.738720i
\(719\) −9.85108 + 33.5497i −0.367383 + 1.25119i 0.543809 + 0.839209i \(0.316982\pi\)
−0.911192 + 0.411983i \(0.864836\pi\)
\(720\) 6.70723 + 0.114405i 0.249964 + 0.00426364i
\(721\) 21.8026 + 47.7411i 0.811973 + 1.77797i
\(722\) 5.10257 + 5.88868i 0.189898 + 0.219154i
\(723\) −2.47129 8.19815i −0.0919082 0.304892i
\(724\) −15.8972 2.28567i −0.590814 0.0849463i
\(725\) −0.842726 + 13.3929i −0.0312980 + 0.497399i
\(726\) −17.6155 + 5.31010i −0.653773 + 0.197076i
\(727\) 32.7517 + 37.7975i 1.21469 + 1.40183i 0.889968 + 0.456022i \(0.150726\pi\)
0.324725 + 0.945809i \(0.394728\pi\)
\(728\) −6.90778 + 3.15468i −0.256019 + 0.116920i
\(729\) 23.3216 + 13.6052i 0.863764 + 0.503897i
\(730\) −8.16443 13.6272i −0.302179 0.504365i
\(731\) 6.30285 + 5.46145i 0.233119 + 0.201999i
\(732\) −19.2274 8.61450i −0.710665 0.318401i
\(733\) −8.63708 + 18.9126i −0.319018 + 0.698552i −0.999412 0.0342949i \(-0.989081\pi\)
0.680394 + 0.732847i \(0.261809\pi\)
\(734\) 1.28651 + 8.94788i 0.0474860 + 0.330272i
\(735\) −3.46890 29.1209i −0.127952 1.07414i
\(736\) −4.11464 + 2.46368i −0.151668 + 0.0908125i
\(737\) −12.6539 −0.466112
\(738\) 2.69833 + 8.72407i 0.0993269 + 0.321137i
\(739\) −5.32461 + 11.6593i −0.195869 + 0.428893i −0.981927 0.189259i \(-0.939391\pi\)
0.786058 + 0.618153i \(0.212119\pi\)
\(740\) −9.42153 + 19.0248i −0.346342 + 0.699365i
\(741\) −2.66491 17.6348i −0.0978980 0.647830i
\(742\) 12.0778 41.1333i 0.443391 1.51005i
\(743\) 23.5673 + 36.6715i 0.864602 + 1.34535i 0.937492 + 0.348007i \(0.113142\pi\)
−0.0728897 + 0.997340i \(0.523222\pi\)
\(744\) 8.04733 + 2.30026i 0.295029 + 0.0843316i
\(745\) 24.1872 + 0.760218i 0.886150 + 0.0278522i
\(746\) 27.5392 + 17.6984i 1.00828 + 0.647984i
\(747\) −0.323784 22.5384i −0.0118466 0.824638i
\(748\) 12.1021 + 1.74003i 0.442498 + 0.0636216i
\(749\) −38.8952 + 60.5221i −1.42120 + 2.21143i
\(750\) 15.3186 + 11.8466i 0.559355 + 0.432576i
\(751\) 27.4902 12.5543i 1.00313 0.458115i 0.155008 0.987913i \(-0.450460\pi\)
0.848123 + 0.529799i \(0.177733\pi\)
\(752\) −8.56035 + 5.50140i −0.312164 + 0.200616i
\(753\) −28.4805 + 18.5937i −1.03789 + 0.677593i
\(754\) −3.49641 + 4.03507i −0.127332 + 0.146949i
\(755\) 8.87970 17.9307i 0.323165 0.652564i
\(756\) −16.4518 + 11.0809i −0.598345 + 0.403009i
\(757\) 4.92737 + 34.2706i 0.179088 + 1.24559i 0.858878 + 0.512180i \(0.171162\pi\)
−0.679790 + 0.733407i \(0.737929\pi\)
\(758\) 17.2558i 0.626760i
\(759\) −4.55839 38.3557i −0.165459 1.39223i
\(760\) −8.50468 7.85046i −0.308497 0.284766i
\(761\) 2.72082 0.391195i 0.0986296 0.0141808i −0.0928233 0.995683i \(-0.529589\pi\)
0.191453 + 0.981502i \(0.438680\pi\)
\(762\) −22.8379 + 10.6286i −0.827330 + 0.385034i
\(763\) 8.67159 + 29.5327i 0.313932 + 1.06916i
\(764\) −14.1654 + 16.3478i −0.512487 + 0.591442i
\(765\) 13.5253 11.3217i 0.489008 0.409337i
\(766\) −5.52757 8.60106i −0.199719 0.310769i
\(767\) 0.770728 + 1.68766i 0.0278294 + 0.0609379i
\(768\) 1.73201 0.0124402i 0.0624984 0.000448899i
\(769\) −10.5539 + 16.4221i −0.380582 + 0.592197i −0.977713 0.209947i \(-0.932671\pi\)
0.597131 + 0.802144i \(0.296307\pi\)
\(770\) −25.0373 30.7986i −0.902280 1.10991i
\(771\) 23.9061 + 27.1920i 0.860956 + 0.979295i
\(772\) 1.90309 2.96126i 0.0684937 0.106578i
\(773\) −14.6560 + 12.6995i −0.527141 + 0.456770i −0.877315 0.479914i \(-0.840668\pi\)
0.350175 + 0.936684i \(0.386122\pi\)