Properties

Label 138.2.e.b.121.1
Level $138$
Weight $2$
Character 138.121
Analytic conductor $1.102$
Analytic rank $0$
Dimension $10$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 138 = 2 \cdot 3 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 138.e (of order \(11\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.10193554789\)
Analytic rank: \(0\)
Dimension: \(10\)
Coefficient field: \(\Q(\zeta_{22})\)
Defining polynomial: \( x^{10} - x^{9} + x^{8} - x^{7} + x^{6} - x^{5} + x^{4} - x^{3} + x^{2} - x + 1 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, a_2]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label 121.1
Root \(-0.415415 + 0.909632i\) of defining polynomial
Character \(\chi\) \(=\) 138.121
Dual form 138.2.e.b.73.1

$q$-expansion

\(f(q)\) \(=\) \(q+(0.415415 - 0.909632i) q^{2} +(0.959493 + 0.281733i) q^{3} +(-0.654861 - 0.755750i) q^{4} +(0.273100 - 0.175511i) q^{5} +(0.654861 - 0.755750i) q^{6} +(0.346156 - 2.40757i) q^{7} +(-0.959493 + 0.281733i) q^{8} +(0.841254 + 0.540641i) q^{9} +O(q^{10})\) \(q+(0.415415 - 0.909632i) q^{2} +(0.959493 + 0.281733i) q^{3} +(-0.654861 - 0.755750i) q^{4} +(0.273100 - 0.175511i) q^{5} +(0.654861 - 0.755750i) q^{6} +(0.346156 - 2.40757i) q^{7} +(-0.959493 + 0.281733i) q^{8} +(0.841254 + 0.540641i) q^{9} +(-0.0462003 - 0.321330i) q^{10} +(1.41245 + 3.09283i) q^{11} +(-0.415415 - 0.909632i) q^{12} +(-0.0383314 - 0.266601i) q^{13} +(-2.04620 - 1.31501i) q^{14} +(0.311485 - 0.0914602i) q^{15} +(-0.142315 + 0.989821i) q^{16} +(-3.17486 + 3.66399i) q^{17} +(0.841254 - 0.540641i) q^{18} +(-2.63587 - 3.04196i) q^{19} +(-0.311485 - 0.0914602i) q^{20} +(1.01042 - 2.21252i) q^{21} +3.40009 q^{22} +(-4.20014 + 2.31491i) q^{23} -1.00000 q^{24} +(-2.03330 + 4.45230i) q^{25} +(-0.258432 - 0.0758824i) q^{26} +(0.654861 + 0.755750i) q^{27} +(-2.04620 + 1.31501i) q^{28} +(-1.31585 + 1.51857i) q^{29} +(0.0462003 - 0.321330i) q^{30} +(9.12052 - 2.67803i) q^{31} +(0.841254 + 0.540641i) q^{32} +(0.483883 + 3.36548i) q^{33} +(2.01399 + 4.41003i) q^{34} +(-0.328019 - 0.718261i) q^{35} +(-0.142315 - 0.989821i) q^{36} +(-1.69708 - 1.09065i) q^{37} +(-3.86205 + 1.13400i) q^{38} +(0.0383314 - 0.266601i) q^{39} +(-0.212591 + 0.245343i) q^{40} +(-2.19148 + 1.40838i) q^{41} +(-1.59283 - 1.83823i) q^{42} +(-3.77617 - 1.10878i) q^{43} +(1.41245 - 3.09283i) q^{44} +0.324635 q^{45} +(0.360914 + 4.78223i) q^{46} +5.19874 q^{47} +(-0.415415 + 0.909632i) q^{48} +(1.03990 + 0.305343i) q^{49} +(3.20529 + 3.69910i) q^{50} +(-4.07852 + 2.62111i) q^{51} +(-0.176382 + 0.203555i) q^{52} +(0.153701 - 1.06902i) q^{53} +(0.959493 - 0.281733i) q^{54} +(0.928565 + 0.596752i) q^{55} +(0.346156 + 2.40757i) q^{56} +(-1.67208 - 3.66135i) q^{57} +(0.834716 + 1.82777i) q^{58} +(-1.40970 - 9.80465i) q^{59} +(-0.273100 - 0.175511i) q^{60} +(-4.17439 + 1.22571i) q^{61} +(1.35278 - 9.40881i) q^{62} +(1.59283 - 1.83823i) q^{63} +(0.841254 - 0.540641i) q^{64} +(-0.0572596 - 0.0660811i) q^{65} +(3.26236 + 0.957916i) q^{66} +(4.26754 - 9.34461i) q^{67} +4.84815 q^{68} +(-4.68219 + 1.03782i) q^{69} -0.789617 q^{70} +(4.74835 - 10.3974i) q^{71} +(-0.959493 - 0.281733i) q^{72} +(0.746117 + 0.861065i) q^{73} +(-1.69708 + 1.09065i) q^{74} +(-3.20529 + 3.69910i) q^{75} +(-0.572830 + 3.98412i) q^{76} +(7.93512 - 2.32996i) q^{77} +(-0.226585 - 0.145617i) q^{78} +(-2.28482 - 15.8912i) q^{79} +(0.134858 + 0.295298i) q^{80} +(0.415415 + 0.909632i) q^{81} +(0.370733 + 2.57850i) q^{82} +(-0.887769 - 0.570534i) q^{83} +(-2.33380 + 0.685265i) q^{84} +(-0.223986 + 1.55786i) q^{85} +(-2.57726 + 2.97432i) q^{86} +(-1.69038 + 1.08634i) q^{87} +(-2.22659 - 2.56962i) q^{88} +(2.62982 + 0.772185i) q^{89} +(0.134858 - 0.295298i) q^{90} -0.655127 q^{91} +(4.50000 + 1.65831i) q^{92} +9.50557 q^{93} +(2.15964 - 4.72894i) q^{94} +(-1.25375 - 0.368136i) q^{95} +(0.654861 + 0.755750i) q^{96} +(-11.4477 + 7.35699i) q^{97} +(0.709741 - 0.819085i) q^{98} +(-0.483883 + 3.36548i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 10 q - q^{2} + q^{3} - q^{4} - 2 q^{5} + q^{6} - q^{8} - q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 10 q - q^{2} + q^{3} - q^{4} - 2 q^{5} + q^{6} - q^{8} - q^{9} + 9 q^{10} + 11 q^{11} + q^{12} + 13 q^{13} - 11 q^{14} + 13 q^{15} - q^{16} - 24 q^{17} - q^{18} - 14 q^{19} - 13 q^{20} + 11 q^{21} + 22 q^{22} - 10 q^{23} - 10 q^{24} - 43 q^{25} - 9 q^{26} + q^{27} - 11 q^{28} + 13 q^{29} - 9 q^{30} + 8 q^{31} - q^{32} + 22 q^{33} + 9 q^{34} - q^{36} - 13 q^{37} - 3 q^{38} - 13 q^{39} + 9 q^{40} - 10 q^{41} - 8 q^{43} + 11 q^{44} - 2 q^{45} + q^{46} - 8 q^{47} + q^{48} + 29 q^{49} + 23 q^{50} - 9 q^{51} + 2 q^{52} - 35 q^{53} + q^{54} - 11 q^{55} + 3 q^{57} + 13 q^{58} + 37 q^{59} + 2 q^{60} - 2 q^{61} + 8 q^{62} - q^{64} + 37 q^{65} + 14 q^{67} - 2 q^{68} - q^{69} - 22 q^{70} + 44 q^{71} - q^{72} - 49 q^{73} - 13 q^{74} - 23 q^{75} + 8 q^{76} + 44 q^{77} + 20 q^{78} - 8 q^{79} - 2 q^{80} - q^{81} + 12 q^{82} - 17 q^{83} - 11 q^{84} - 37 q^{85} + 14 q^{86} - 2 q^{87} + 59 q^{89} - 2 q^{90} + 66 q^{91} + 45 q^{92} + 36 q^{93} - 19 q^{94} - 28 q^{95} + q^{96} - 21 q^{97} - 26 q^{98} - 22 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/138\mathbb{Z}\right)^\times\).

\(n\) \(47\) \(97\)
\(\chi(n)\) \(1\) \(e\left(\frac{9}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.415415 0.909632i 0.293743 0.643207i
\(3\) 0.959493 + 0.281733i 0.553964 + 0.162658i
\(4\) −0.654861 0.755750i −0.327430 0.377875i
\(5\) 0.273100 0.175511i 0.122134 0.0784908i −0.478147 0.878280i \(-0.658692\pi\)
0.600282 + 0.799789i \(0.295055\pi\)
\(6\) 0.654861 0.755750i 0.267346 0.308533i
\(7\) 0.346156 2.40757i 0.130835 0.909974i −0.813635 0.581376i \(-0.802515\pi\)
0.944470 0.328598i \(-0.106576\pi\)
\(8\) −0.959493 + 0.281733i −0.339232 + 0.0996075i
\(9\) 0.841254 + 0.540641i 0.280418 + 0.180214i
\(10\) −0.0462003 0.321330i −0.0146098 0.101614i
\(11\) 1.41245 + 3.09283i 0.425869 + 0.932523i 0.993979 + 0.109571i \(0.0349476\pi\)
−0.568110 + 0.822953i \(0.692325\pi\)
\(12\) −0.415415 0.909632i −0.119920 0.262588i
\(13\) −0.0383314 0.266601i −0.0106312 0.0739417i 0.983815 0.179186i \(-0.0573465\pi\)
−0.994446 + 0.105245i \(0.966437\pi\)
\(14\) −2.04620 1.31501i −0.546870 0.351452i
\(15\) 0.311485 0.0914602i 0.0804250 0.0236149i
\(16\) −0.142315 + 0.989821i −0.0355787 + 0.247455i
\(17\) −3.17486 + 3.66399i −0.770017 + 0.888648i −0.996346 0.0854034i \(-0.972782\pi\)
0.226329 + 0.974051i \(0.427328\pi\)
\(18\) 0.841254 0.540641i 0.198285 0.127430i
\(19\) −2.63587 3.04196i −0.604711 0.697874i 0.368018 0.929819i \(-0.380037\pi\)
−0.972729 + 0.231945i \(0.925491\pi\)
\(20\) −0.311485 0.0914602i −0.0696501 0.0204511i
\(21\) 1.01042 2.21252i 0.220492 0.482811i
\(22\) 3.40009 0.724901
\(23\) −4.20014 + 2.31491i −0.875790 + 0.482692i
\(24\) −1.00000 −0.204124
\(25\) −2.03330 + 4.45230i −0.406659 + 0.890459i
\(26\) −0.258432 0.0758824i −0.0506827 0.0148818i
\(27\) 0.654861 + 0.755750i 0.126028 + 0.145444i
\(28\) −2.04620 + 1.31501i −0.386696 + 0.248514i
\(29\) −1.31585 + 1.51857i −0.244347 + 0.281991i −0.864654 0.502368i \(-0.832462\pi\)
0.620307 + 0.784359i \(0.287008\pi\)
\(30\) 0.0462003 0.321330i 0.00843499 0.0586667i
\(31\) 9.12052 2.67803i 1.63809 0.480988i 0.672296 0.740282i \(-0.265308\pi\)
0.965798 + 0.259294i \(0.0834900\pi\)
\(32\) 0.841254 + 0.540641i 0.148714 + 0.0955727i
\(33\) 0.483883 + 3.36548i 0.0842332 + 0.585855i
\(34\) 2.01399 + 4.41003i 0.345397 + 0.756314i
\(35\) −0.328019 0.718261i −0.0554453 0.121408i
\(36\) −0.142315 0.989821i −0.0237191 0.164970i
\(37\) −1.69708 1.09065i −0.278998 0.179301i 0.393657 0.919257i \(-0.371210\pi\)
−0.672655 + 0.739956i \(0.734846\pi\)
\(38\) −3.86205 + 1.13400i −0.626507 + 0.183959i
\(39\) 0.0383314 0.266601i 0.00613793 0.0426903i
\(40\) −0.212591 + 0.245343i −0.0336135 + 0.0387921i
\(41\) −2.19148 + 1.40838i −0.342252 + 0.219952i −0.700463 0.713689i \(-0.747023\pi\)
0.358211 + 0.933641i \(0.383387\pi\)
\(42\) −1.59283 1.83823i −0.245779 0.283645i
\(43\) −3.77617 1.10878i −0.575860 0.169088i −0.0191821 0.999816i \(-0.506106\pi\)
−0.556678 + 0.830728i \(0.687924\pi\)
\(44\) 1.41245 3.09283i 0.212935 0.466262i
\(45\) 0.324635 0.0483937
\(46\) 0.360914 + 4.78223i 0.0532138 + 0.705102i
\(47\) 5.19874 0.758314 0.379157 0.925332i \(-0.376214\pi\)
0.379157 + 0.925332i \(0.376214\pi\)
\(48\) −0.415415 + 0.909632i −0.0599600 + 0.131294i
\(49\) 1.03990 + 0.305343i 0.148558 + 0.0436204i
\(50\) 3.20529 + 3.69910i 0.453296 + 0.523132i
\(51\) −4.07852 + 2.62111i −0.571108 + 0.367029i
\(52\) −0.176382 + 0.203555i −0.0244597 + 0.0282280i
\(53\) 0.153701 1.06902i 0.0211125 0.146841i −0.976538 0.215343i \(-0.930913\pi\)
0.997651 + 0.0685024i \(0.0218221\pi\)
\(54\) 0.959493 0.281733i 0.130570 0.0383389i
\(55\) 0.928565 + 0.596752i 0.125208 + 0.0804661i
\(56\) 0.346156 + 2.40757i 0.0462570 + 0.321724i
\(57\) −1.67208 3.66135i −0.221473 0.484958i
\(58\) 0.834716 + 1.82777i 0.109604 + 0.239998i
\(59\) −1.40970 9.80465i −0.183527 1.27646i −0.848342 0.529449i \(-0.822399\pi\)
0.664815 0.747008i \(-0.268510\pi\)
\(60\) −0.273100 0.175511i −0.0352571 0.0226584i
\(61\) −4.17439 + 1.22571i −0.534476 + 0.156936i −0.537823 0.843058i \(-0.680753\pi\)
0.00334638 + 0.999994i \(0.498935\pi\)
\(62\) 1.35278 9.40881i 0.171804 1.19492i
\(63\) 1.59283 1.83823i 0.200678 0.231595i
\(64\) 0.841254 0.540641i 0.105157 0.0675801i
\(65\) −0.0572596 0.0660811i −0.00710218 0.00819635i
\(66\) 3.26236 + 0.957916i 0.401569 + 0.117911i
\(67\) 4.26754 9.34461i 0.521363 1.14163i −0.447558 0.894255i \(-0.647706\pi\)
0.968921 0.247371i \(-0.0795666\pi\)
\(68\) 4.84815 0.587925
\(69\) −4.68219 + 1.03782i −0.563670 + 0.124939i
\(70\) −0.789617 −0.0943772
\(71\) 4.74835 10.3974i 0.563526 1.23395i −0.386648 0.922227i \(-0.626367\pi\)
0.950174 0.311721i \(-0.100906\pi\)
\(72\) −0.959493 0.281733i −0.113077 0.0332025i
\(73\) 0.746117 + 0.861065i 0.0873264 + 0.100780i 0.797731 0.603013i \(-0.206033\pi\)
−0.710405 + 0.703794i \(0.751488\pi\)
\(74\) −1.69708 + 1.09065i −0.197281 + 0.126785i
\(75\) −3.20529 + 3.69910i −0.370115 + 0.427135i
\(76\) −0.572830 + 3.98412i −0.0657081 + 0.457010i
\(77\) 7.93512 2.32996i 0.904291 0.265524i
\(78\) −0.226585 0.145617i −0.0256557 0.0164879i
\(79\) −2.28482 15.8912i −0.257062 1.78791i −0.553496 0.832852i \(-0.686707\pi\)
0.296434 0.955053i \(-0.404203\pi\)
\(80\) 0.134858 + 0.295298i 0.0150776 + 0.0330153i
\(81\) 0.415415 + 0.909632i 0.0461572 + 0.101070i
\(82\) 0.370733 + 2.57850i 0.0409406 + 0.284748i
\(83\) −0.887769 0.570534i −0.0974453 0.0626243i 0.491011 0.871154i \(-0.336628\pi\)
−0.588456 + 0.808529i \(0.700264\pi\)
\(84\) −2.33380 + 0.685265i −0.254638 + 0.0747685i
\(85\) −0.223986 + 1.55786i −0.0242947 + 0.168973i
\(86\) −2.57726 + 2.97432i −0.277913 + 0.320729i
\(87\) −1.69038 + 1.08634i −0.181227 + 0.116468i
\(88\) −2.22659 2.56962i −0.237355 0.273922i
\(89\) 2.62982 + 0.772185i 0.278761 + 0.0818515i 0.418124 0.908390i \(-0.362688\pi\)
−0.139364 + 0.990241i \(0.544506\pi\)
\(90\) 0.134858 0.295298i 0.0142153 0.0311272i
\(91\) −0.655127 −0.0686760
\(92\) 4.50000 + 1.65831i 0.469157 + 0.172891i
\(93\) 9.50557 0.985681
\(94\) 2.15964 4.72894i 0.222749 0.487753i
\(95\) −1.25375 0.368136i −0.128633 0.0377699i
\(96\) 0.654861 + 0.755750i 0.0668364 + 0.0771334i
\(97\) −11.4477 + 7.35699i −1.16234 + 0.746989i −0.972058 0.234741i \(-0.924576\pi\)
−0.190279 + 0.981730i \(0.560939\pi\)
\(98\) 0.709741 0.819085i 0.0716947 0.0827401i
\(99\) −0.483883 + 3.36548i −0.0486321 + 0.338244i
\(100\) 4.69635 1.37897i 0.469635 0.137897i
\(101\) 13.3784 + 8.59775i 1.33120 + 0.855508i 0.996232 0.0867229i \(-0.0276395\pi\)
0.334964 + 0.942231i \(0.391276\pi\)
\(102\) 0.689964 + 4.79880i 0.0683166 + 0.475152i
\(103\) 5.80424 + 12.7095i 0.571908 + 1.25230i 0.945775 + 0.324822i \(0.105304\pi\)
−0.373867 + 0.927482i \(0.621968\pi\)
\(104\) 0.111889 + 0.245002i 0.0109716 + 0.0240244i
\(105\) −0.112374 0.781580i −0.0109666 0.0762744i
\(106\) −0.908562 0.583898i −0.0882474 0.0567132i
\(107\) −10.3547 + 3.04042i −1.00103 + 0.293928i −0.740878 0.671640i \(-0.765590\pi\)
−0.260150 + 0.965568i \(0.583772\pi\)
\(108\) 0.142315 0.989821i 0.0136943 0.0952456i
\(109\) −10.7122 + 12.3625i −1.02604 + 1.18411i −0.0433129 + 0.999062i \(0.513791\pi\)
−0.982728 + 0.185053i \(0.940754\pi\)
\(110\) 0.928565 0.596752i 0.0885352 0.0568981i
\(111\) −1.32106 1.52459i −0.125390 0.144708i
\(112\) 2.33380 + 0.685265i 0.220523 + 0.0647514i
\(113\) 8.29160 18.1561i 0.780008 1.70798i 0.0767435 0.997051i \(-0.475548\pi\)
0.703264 0.710928i \(-0.251725\pi\)
\(114\) −4.02509 −0.376984
\(115\) −0.740768 + 1.36937i −0.0690770 + 0.127695i
\(116\) 2.00935 0.186564
\(117\) 0.111889 0.245002i 0.0103441 0.0226505i
\(118\) −9.50423 2.79070i −0.874936 0.256904i
\(119\) 7.72229 + 8.91200i 0.707901 + 0.816962i
\(120\) −0.273100 + 0.175511i −0.0249305 + 0.0160219i
\(121\) −0.367120 + 0.423679i −0.0333745 + 0.0385163i
\(122\) −0.619158 + 4.30634i −0.0560560 + 0.389878i
\(123\) −2.49950 + 0.733919i −0.225372 + 0.0661752i
\(124\) −7.99659 5.13910i −0.718115 0.461505i
\(125\) 0.457135 + 3.17944i 0.0408874 + 0.284378i
\(126\) −1.01042 2.21252i −0.0900157 0.197107i
\(127\) −2.26242 4.95402i −0.200758 0.439598i 0.782298 0.622904i \(-0.214047\pi\)
−0.983056 + 0.183306i \(0.941320\pi\)
\(128\) −0.142315 0.989821i −0.0125790 0.0874887i
\(129\) −3.31083 2.12774i −0.291502 0.187337i
\(130\) −0.0838960 + 0.0246341i −0.00735816 + 0.00216055i
\(131\) −2.17843 + 15.1513i −0.190330 + 1.32378i 0.640804 + 0.767704i \(0.278601\pi\)
−0.831134 + 0.556072i \(0.812308\pi\)
\(132\) 2.22659 2.56962i 0.193799 0.223656i
\(133\) −8.23614 + 5.29305i −0.714164 + 0.458966i
\(134\) −6.72736 7.76378i −0.581155 0.670689i
\(135\) 0.311485 + 0.0914602i 0.0268083 + 0.00787164i
\(136\) 2.01399 4.41003i 0.172699 0.378157i
\(137\) −17.0753 −1.45884 −0.729419 0.684067i \(-0.760209\pi\)
−0.729419 + 0.684067i \(0.760209\pi\)
\(138\) −1.00102 + 4.69020i −0.0852122 + 0.399256i
\(139\) 16.2779 1.38067 0.690337 0.723488i \(-0.257462\pi\)
0.690337 + 0.723488i \(0.257462\pi\)
\(140\) −0.328019 + 0.718261i −0.0277226 + 0.0607041i
\(141\) 4.98816 + 1.46465i 0.420078 + 0.123346i
\(142\) −7.48531 8.63850i −0.628153 0.724927i
\(143\) 0.770409 0.495112i 0.0644249 0.0414033i
\(144\) −0.654861 + 0.755750i −0.0545717 + 0.0629791i
\(145\) −0.0928329 + 0.645667i −0.00770935 + 0.0536197i
\(146\) 1.09320 0.320993i 0.0904740 0.0265655i
\(147\) 0.911754 + 0.585949i 0.0752002 + 0.0483283i
\(148\) 0.287095 + 1.99679i 0.0235990 + 0.164135i
\(149\) −0.677312 1.48311i −0.0554875 0.121501i 0.879857 0.475238i \(-0.157638\pi\)
−0.935345 + 0.353737i \(0.884911\pi\)
\(150\) 2.03330 + 4.45230i 0.166018 + 0.363528i
\(151\) 1.67452 + 11.6466i 0.136271 + 0.947784i 0.937142 + 0.348948i \(0.113461\pi\)
−0.800871 + 0.598836i \(0.795630\pi\)
\(152\) 3.38612 + 2.17613i 0.274651 + 0.176507i
\(153\) −4.65177 + 1.36588i −0.376073 + 0.110425i
\(154\) 1.17696 8.18594i 0.0948422 0.659642i
\(155\) 2.02079 2.33212i 0.162314 0.187320i
\(156\) −0.226585 + 0.145617i −0.0181413 + 0.0116587i
\(157\) −6.55287 7.56242i −0.522976 0.603547i 0.431397 0.902162i \(-0.358021\pi\)
−0.954374 + 0.298615i \(0.903475\pi\)
\(158\) −15.4043 4.52312i −1.22550 0.359840i
\(159\) 0.448652 0.982412i 0.0355805 0.0779103i
\(160\) 0.324635 0.0256646
\(161\) 4.11939 + 10.9134i 0.324654 + 0.860099i
\(162\) 1.00000 0.0785674
\(163\) −6.62141 + 14.4989i −0.518629 + 1.13564i 0.451327 + 0.892358i \(0.350951\pi\)
−0.969956 + 0.243280i \(0.921777\pi\)
\(164\) 2.49950 + 0.733919i 0.195178 + 0.0573094i
\(165\) 0.722827 + 0.834187i 0.0562720 + 0.0649414i
\(166\) −0.887769 + 0.570534i −0.0689042 + 0.0442820i
\(167\) 6.24539 7.20756i 0.483283 0.557738i −0.460775 0.887517i \(-0.652429\pi\)
0.944058 + 0.329779i \(0.106974\pi\)
\(168\) −0.346156 + 2.40757i −0.0267065 + 0.185748i
\(169\) 12.4038 3.64208i 0.954139 0.280160i
\(170\) 1.32403 + 0.850903i 0.101549 + 0.0652613i
\(171\) −0.572830 3.98412i −0.0438054 0.304673i
\(172\) 1.63490 + 3.57994i 0.124660 + 0.272968i
\(173\) −10.2734 22.4956i −0.781073 1.71031i −0.700599 0.713556i \(-0.747084\pi\)
−0.0804749 0.996757i \(-0.525644\pi\)
\(174\) 0.285961 + 1.98890i 0.0216786 + 0.150778i
\(175\) 10.0154 + 6.43648i 0.757090 + 0.486552i
\(176\) −3.26236 + 0.957916i −0.245910 + 0.0722056i
\(177\) 1.40970 9.80465i 0.105959 0.736963i
\(178\) 1.79487 2.07139i 0.134531 0.155257i
\(179\) −22.1656 + 14.2450i −1.65674 + 1.06472i −0.734109 + 0.679031i \(0.762400\pi\)
−0.922629 + 0.385690i \(0.873964\pi\)
\(180\) −0.212591 0.245343i −0.0158456 0.0182868i
\(181\) 17.4405 + 5.12099i 1.29634 + 0.380640i 0.855900 0.517141i \(-0.173004\pi\)
0.440441 + 0.897781i \(0.354822\pi\)
\(182\) −0.272150 + 0.595925i −0.0201731 + 0.0441729i
\(183\) −4.35062 −0.321607
\(184\) 3.37782 3.40446i 0.249016 0.250980i
\(185\) −0.654892 −0.0481486
\(186\) 3.94875 8.64657i 0.289537 0.633997i
\(187\) −15.8164 4.64412i −1.15661 0.339612i
\(188\) −3.40445 3.92895i −0.248295 0.286548i
\(189\) 2.04620 1.31501i 0.148839 0.0956531i
\(190\) −0.855697 + 0.987527i −0.0620788 + 0.0716427i
\(191\) −1.11756 + 7.77277i −0.0808635 + 0.562418i 0.908604 + 0.417660i \(0.137150\pi\)
−0.989467 + 0.144758i \(0.953760\pi\)
\(192\) 0.959493 0.281733i 0.0692454 0.0203323i
\(193\) 19.8354 + 12.7474i 1.42778 + 0.917580i 0.999906 + 0.0137432i \(0.00437474\pi\)
0.427877 + 0.903837i \(0.359262\pi\)
\(194\) 1.93661 + 13.4694i 0.139040 + 0.967046i
\(195\) −0.0363230 0.0795362i −0.00260114 0.00569571i
\(196\) −0.450229 0.985863i −0.0321592 0.0704188i
\(197\) −1.31791 9.16623i −0.0938969 0.653067i −0.981359 0.192186i \(-0.938442\pi\)
0.887462 0.460881i \(-0.152467\pi\)
\(198\) 2.86034 + 1.83823i 0.203275 + 0.130637i
\(199\) 24.6763 7.24561i 1.74926 0.513628i 0.758784 0.651343i \(-0.225794\pi\)
0.990472 + 0.137715i \(0.0439757\pi\)
\(200\) 0.696576 4.84479i 0.0492554 0.342579i
\(201\) 6.72736 7.76378i 0.474511 0.547615i
\(202\) 13.3784 8.59775i 0.941298 0.604936i
\(203\) 3.20056 + 3.69365i 0.224636 + 0.259243i
\(204\) 4.65177 + 1.36588i 0.325689 + 0.0956309i
\(205\) −0.351308 + 0.769258i −0.0245364 + 0.0537273i
\(206\) 13.9721 0.973485
\(207\) −4.78492 0.323343i −0.332575 0.0224739i
\(208\) 0.269342 0.0186755
\(209\) 5.68523 12.4489i 0.393256 0.861110i
\(210\) −0.757632 0.222461i −0.0522816 0.0153512i
\(211\) −12.8865 14.8718i −0.887140 1.02381i −0.999545 0.0301522i \(-0.990401\pi\)
0.112405 0.993662i \(-0.464145\pi\)
\(212\) −0.908562 + 0.583898i −0.0624003 + 0.0401023i
\(213\) 7.48531 8.63850i 0.512885 0.591901i
\(214\) −1.53584 + 10.6820i −0.104988 + 0.730207i
\(215\) −1.22588 + 0.359950i −0.0836040 + 0.0245484i
\(216\) −0.841254 0.540641i −0.0572401 0.0367859i
\(217\) −3.29041 22.8853i −0.223367 1.55355i
\(218\) 6.79534 + 14.8797i 0.460239 + 1.00778i
\(219\) 0.473304 + 1.03639i 0.0319829 + 0.0700329i
\(220\) −0.157085 1.09255i −0.0105907 0.0736599i
\(221\) 1.09852 + 0.705975i 0.0738943 + 0.0474890i
\(222\) −1.93560 + 0.568345i −0.129909 + 0.0381448i
\(223\) 0.681744 4.74163i 0.0456529 0.317523i −0.954180 0.299234i \(-0.903269\pi\)
0.999833 0.0182893i \(-0.00582198\pi\)
\(224\) 1.59283 1.83823i 0.106426 0.122822i
\(225\) −4.11761 + 2.64623i −0.274507 + 0.176415i
\(226\) −13.0709 15.0846i −0.869462 1.00341i
\(227\) −5.78973 1.70002i −0.384278 0.112834i 0.0838870 0.996475i \(-0.473267\pi\)
−0.468165 + 0.883641i \(0.655085\pi\)
\(228\) −1.67208 + 3.66135i −0.110736 + 0.242479i
\(229\) 7.27420 0.480692 0.240346 0.970687i \(-0.422739\pi\)
0.240346 + 0.970687i \(0.422739\pi\)
\(230\) 0.937899 + 1.24268i 0.0618432 + 0.0819402i
\(231\) 8.27012 0.544134
\(232\) 0.834716 1.82777i 0.0548018 0.119999i
\(233\) −8.07753 2.37178i −0.529177 0.155380i 0.00622046 0.999981i \(-0.498020\pi\)
−0.535397 + 0.844600i \(0.679838\pi\)
\(234\) −0.176382 0.203555i −0.0115304 0.0133068i
\(235\) 1.41978 0.912435i 0.0926160 0.0595207i
\(236\) −6.48671 + 7.48606i −0.422249 + 0.487301i
\(237\) 2.28482 15.8912i 0.148415 1.03225i
\(238\) 11.3146 3.32227i 0.733416 0.215351i
\(239\) −4.34097 2.78977i −0.280794 0.180455i 0.392662 0.919683i \(-0.371554\pi\)
−0.673456 + 0.739228i \(0.735191\pi\)
\(240\) 0.0462003 + 0.321330i 0.00298222 + 0.0207418i
\(241\) 6.49297 + 14.2176i 0.418249 + 0.915838i 0.995089 + 0.0989810i \(0.0315583\pi\)
−0.576840 + 0.816857i \(0.695714\pi\)
\(242\) 0.232885 + 0.509947i 0.0149704 + 0.0327806i
\(243\) 0.142315 + 0.989821i 0.00912950 + 0.0634971i
\(244\) 3.65998 + 2.35212i 0.234306 + 0.150579i
\(245\) 0.337589 0.0991250i 0.0215677 0.00633286i
\(246\) −0.370733 + 2.57850i −0.0236371 + 0.164399i
\(247\) −0.709952 + 0.819328i −0.0451732 + 0.0521326i
\(248\) −7.99659 + 5.13910i −0.507784 + 0.326333i
\(249\) −0.691070 0.797537i −0.0437948 0.0505419i
\(250\) 3.08202 + 0.904963i 0.194924 + 0.0572349i
\(251\) −5.76758 + 12.6292i −0.364047 + 0.797151i 0.635637 + 0.771988i \(0.280738\pi\)
−0.999683 + 0.0251628i \(0.991990\pi\)
\(252\) −2.43232 −0.153222
\(253\) −13.0921 9.72064i −0.823094 0.611131i
\(254\) −5.44618 −0.341724
\(255\) −0.653813 + 1.43165i −0.0409433 + 0.0896534i
\(256\) −0.959493 0.281733i −0.0599683 0.0176083i
\(257\) 6.44912 + 7.44268i 0.402285 + 0.464262i 0.920359 0.391074i \(-0.127896\pi\)
−0.518074 + 0.855336i \(0.673351\pi\)
\(258\) −3.31083 + 2.12774i −0.206123 + 0.132467i
\(259\) −3.21325 + 3.70829i −0.199662 + 0.230422i
\(260\) −0.0124437 + 0.0865478i −0.000771726 + 0.00536747i
\(261\) −1.92796 + 0.566100i −0.119338 + 0.0350407i
\(262\) 12.8772 + 8.27565i 0.795554 + 0.511271i
\(263\) −0.0325974 0.226720i −0.00201004 0.0139801i 0.988792 0.149301i \(-0.0477025\pi\)
−0.990802 + 0.135321i \(0.956793\pi\)
\(264\) −1.41245 3.09283i −0.0869302 0.190351i
\(265\) −0.145648 0.318925i −0.00894710 0.0195914i
\(266\) 1.39331 + 9.69067i 0.0854292 + 0.594173i
\(267\) 2.30575 + 1.48181i 0.141109 + 0.0906855i
\(268\) −9.85683 + 2.89423i −0.602102 + 0.176793i
\(269\) 0.0615878 0.428353i 0.00375508 0.0261171i −0.987858 0.155361i \(-0.950346\pi\)
0.991613 + 0.129244i \(0.0412550\pi\)
\(270\) 0.212591 0.245343i 0.0129379 0.0149311i
\(271\) −6.12647 + 3.93724i −0.372156 + 0.239170i −0.713328 0.700831i \(-0.752813\pi\)
0.341171 + 0.940001i \(0.389176\pi\)
\(272\) −3.17486 3.66399i −0.192504 0.222162i
\(273\) −0.628590 0.184571i −0.0380440 0.0111707i
\(274\) −7.09332 + 15.5322i −0.428523 + 0.938334i
\(275\) −16.6421 −1.00356
\(276\) 3.85052 + 2.85894i 0.231774 + 0.172088i
\(277\) −24.9693 −1.50026 −0.750130 0.661291i \(-0.770009\pi\)
−0.750130 + 0.661291i \(0.770009\pi\)
\(278\) 6.76209 14.8069i 0.405563 0.888060i
\(279\) 9.12052 + 2.67803i 0.546031 + 0.160329i
\(280\) 0.517089 + 0.596752i 0.0309020 + 0.0356628i
\(281\) −6.15876 + 3.95799i −0.367401 + 0.236114i −0.711294 0.702895i \(-0.751891\pi\)
0.343893 + 0.939009i \(0.388254\pi\)
\(282\) 3.40445 3.92895i 0.202732 0.233965i
\(283\) −1.49353 + 10.3877i −0.0887812 + 0.617487i 0.896048 + 0.443958i \(0.146426\pi\)
−0.984829 + 0.173529i \(0.944483\pi\)
\(284\) −10.9674 + 3.22031i −0.650794 + 0.191090i
\(285\) −1.09925 0.706447i −0.0651141 0.0418463i
\(286\) −0.130330 0.906466i −0.00770658 0.0536005i
\(287\) 2.63217 + 5.76366i 0.155372 + 0.340218i
\(288\) 0.415415 + 0.909632i 0.0244786 + 0.0536006i
\(289\) −0.925696 6.43835i −0.0544527 0.378727i
\(290\) 0.548755 + 0.352663i 0.0322240 + 0.0207091i
\(291\) −13.0567 + 3.83379i −0.765396 + 0.224741i
\(292\) 0.162147 1.12776i 0.00948892 0.0659969i
\(293\) 10.6005 12.2336i 0.619287 0.714695i −0.356285 0.934378i \(-0.615957\pi\)
0.975571 + 0.219682i \(0.0705021\pi\)
\(294\) 0.911754 0.585949i 0.0531746 0.0341732i
\(295\) −2.10581 2.43024i −0.122605 0.141494i
\(296\) 1.93560 + 0.568345i 0.112505 + 0.0330344i
\(297\) −1.41245 + 3.09283i −0.0819586 + 0.179464i
\(298\) −1.63045 −0.0944492
\(299\) 0.778154 + 1.03103i 0.0450018 + 0.0596258i
\(300\) 4.89461 0.282591
\(301\) −3.97661 + 8.70756i −0.229208 + 0.501896i
\(302\) 11.2897 + 3.31496i 0.649650 + 0.190754i
\(303\) 10.4142 + 12.0186i 0.598279 + 0.690450i
\(304\) 3.38612 2.17613i 0.194207 0.124810i
\(305\) −0.924902 + 1.06739i −0.0529597 + 0.0611188i
\(306\) −0.689964 + 4.79880i −0.0394426 + 0.274329i
\(307\) −17.1271 + 5.02896i −0.977494 + 0.287018i −0.731189 0.682174i \(-0.761034\pi\)
−0.246304 + 0.969193i \(0.579216\pi\)
\(308\) −6.95726 4.47116i −0.396427 0.254768i
\(309\) 1.98844 + 13.8299i 0.113119 + 0.786757i
\(310\) −1.28190 2.80698i −0.0728072 0.159426i
\(311\) −6.12144 13.4041i −0.347115 0.760076i −0.999997 0.00261568i \(-0.999167\pi\)
0.652882 0.757460i \(-0.273560\pi\)
\(312\) 0.0383314 + 0.266601i 0.00217009 + 0.0150933i
\(313\) −4.80930 3.09075i −0.271837 0.174699i 0.397619 0.917551i \(-0.369837\pi\)
−0.669456 + 0.742851i \(0.733473\pi\)
\(314\) −9.60118 + 2.81916i −0.541826 + 0.159094i
\(315\) 0.112374 0.781580i 0.00633157 0.0440370i
\(316\) −10.5136 + 12.1333i −0.591434 + 0.682552i
\(317\) −5.89086 + 3.78583i −0.330864 + 0.212633i −0.695516 0.718511i \(-0.744824\pi\)
0.364652 + 0.931144i \(0.381188\pi\)
\(318\) −0.707256 0.816217i −0.0396610 0.0457712i
\(319\) −6.55524 1.92479i −0.367023 0.107768i
\(320\) 0.134858 0.295298i 0.00753880 0.0165077i
\(321\) −10.7919 −0.602343
\(322\) 11.6385 + 0.786474i 0.648587 + 0.0438285i
\(323\) 19.5143 1.08580
\(324\) 0.415415 0.909632i 0.0230786 0.0505351i
\(325\) 1.26492 + 0.371415i 0.0701654 + 0.0206024i
\(326\) 10.4380 + 12.0461i 0.578107 + 0.667171i
\(327\) −13.7612 + 8.84378i −0.760996 + 0.489062i
\(328\) 1.70593 1.96874i 0.0941940 0.108706i
\(329\) 1.79957 12.5163i 0.0992137 0.690047i
\(330\) 1.05908 0.310973i 0.0583002 0.0171185i
\(331\) 16.4074 + 10.5444i 0.901831 + 0.579571i 0.907333 0.420413i \(-0.138115\pi\)
−0.00550188 + 0.999985i \(0.501751\pi\)
\(332\) 0.150184 + 1.04455i 0.00824241 + 0.0573272i
\(333\) −0.838025 1.83502i −0.0459235 0.100558i
\(334\) −3.96180 8.67514i −0.216780 0.474682i
\(335\) −0.474614 3.30101i −0.0259309 0.180354i
\(336\) 2.04620 + 1.31501i 0.111629 + 0.0717398i
\(337\) 19.5482 5.73986i 1.06486 0.312670i 0.298052 0.954550i \(-0.403663\pi\)
0.766806 + 0.641879i \(0.221845\pi\)
\(338\) 1.83977 12.7959i 0.100070 0.696004i
\(339\) 13.0709 15.0846i 0.709913 0.819283i
\(340\) 1.32403 0.850903i 0.0718056 0.0461467i
\(341\) 21.1650 + 24.4257i 1.14615 + 1.32272i
\(342\) −3.86205 1.13400i −0.208836 0.0613197i
\(343\) 8.16807 17.8856i 0.441034 0.965730i
\(344\) 3.93559 0.212193
\(345\) −1.09656 + 1.10520i −0.0590367 + 0.0595022i
\(346\) −24.7305 −1.32952
\(347\) −0.778315 + 1.70427i −0.0417821 + 0.0914901i −0.929372 0.369144i \(-0.879651\pi\)
0.887590 + 0.460634i \(0.152378\pi\)
\(348\) 1.92796 + 0.566100i 0.103350 + 0.0303462i
\(349\) −10.7801 12.4409i −0.577045 0.665945i 0.389922 0.920848i \(-0.372502\pi\)
−0.966967 + 0.254903i \(0.917957\pi\)
\(350\) 10.0154 6.43648i 0.535343 0.344044i
\(351\) 0.176382 0.203555i 0.00941455 0.0108650i
\(352\) −0.483883 + 3.36548i −0.0257911 + 0.179381i
\(353\) 7.75497 2.27707i 0.412756 0.121196i −0.0687606 0.997633i \(-0.521904\pi\)
0.481516 + 0.876437i \(0.340086\pi\)
\(354\) −8.33302 5.35530i −0.442895 0.284631i
\(355\) −0.528087 3.67293i −0.0280280 0.194939i
\(356\) −1.13859 2.49316i −0.0603451 0.132137i
\(357\) 4.89869 + 10.7266i 0.259266 + 0.567713i
\(358\) 3.74976 + 26.0802i 0.198181 + 1.37838i
\(359\) 14.9844 + 9.62991i 0.790848 + 0.508247i 0.872618 0.488404i \(-0.162421\pi\)
−0.0817693 + 0.996651i \(0.526057\pi\)
\(360\) −0.311485 + 0.0914602i −0.0164167 + 0.00482038i
\(361\) 0.398287 2.77015i 0.0209625 0.145797i
\(362\) 11.9033 13.7371i 0.625621 0.722005i
\(363\) −0.471613 + 0.303087i −0.0247533 + 0.0159080i
\(364\) 0.429017 + 0.495112i 0.0224866 + 0.0259509i
\(365\) 0.354891 + 0.104205i 0.0185758 + 0.00545436i
\(366\) −1.80731 + 3.95747i −0.0944698 + 0.206860i
\(367\) −4.22445 −0.220515 −0.110257 0.993903i \(-0.535167\pi\)
−0.110257 + 0.993903i \(0.535167\pi\)
\(368\) −1.69360 4.48684i −0.0882852 0.233893i
\(369\) −2.60502 −0.135612
\(370\) −0.272052 + 0.595711i −0.0141433 + 0.0309695i
\(371\) −2.52052 0.740093i −0.130859 0.0384237i
\(372\) −6.22482 7.18383i −0.322742 0.372464i
\(373\) −5.69542 + 3.66022i −0.294898 + 0.189519i −0.679720 0.733471i \(-0.737899\pi\)
0.384823 + 0.922990i \(0.374263\pi\)
\(374\) −10.7948 + 12.4579i −0.558187 + 0.644182i
\(375\) −0.457135 + 3.17944i −0.0236063 + 0.164186i
\(376\) −4.98816 + 1.46465i −0.257244 + 0.0755338i
\(377\) 0.455289 + 0.292597i 0.0234486 + 0.0150695i
\(378\) −0.346156 2.40757i −0.0178043 0.123832i
\(379\) 3.64990 + 7.99217i 0.187483 + 0.410530i 0.979911 0.199435i \(-0.0639107\pi\)
−0.792428 + 0.609965i \(0.791183\pi\)
\(380\) 0.542817 + 1.18860i 0.0278459 + 0.0609740i
\(381\) −0.775072 5.39074i −0.0397081 0.276176i
\(382\) 6.60611 + 4.24549i 0.337998 + 0.217218i
\(383\) 22.0726 6.48111i 1.12786 0.331169i 0.335993 0.941864i \(-0.390928\pi\)
0.791866 + 0.610695i \(0.209110\pi\)
\(384\) 0.142315 0.989821i 0.00726247 0.0505116i
\(385\) 1.75815 2.02901i 0.0896036 0.103408i
\(386\) 19.8354 12.7474i 1.00959 0.648827i
\(387\) −2.57726 2.97432i −0.131010 0.151193i
\(388\) 13.0567 + 3.83379i 0.662853 + 0.194631i
\(389\) −2.71129 + 5.93689i −0.137468 + 0.301012i −0.965828 0.259183i \(-0.916547\pi\)
0.828360 + 0.560195i \(0.189274\pi\)
\(390\) −0.0874378 −0.00442759
\(391\) 4.85308 22.7388i 0.245431 1.14995i
\(392\) −1.08380 −0.0547404
\(393\) −6.35881 + 13.9238i −0.320759 + 0.702365i
\(394\) −8.88538 2.60898i −0.447639 0.131439i
\(395\) −3.41307 3.93889i −0.171730 0.198187i
\(396\) 2.86034 1.83823i 0.143737 0.0923744i
\(397\) −22.7663 + 26.2737i −1.14261 + 1.31864i −0.201904 + 0.979405i \(0.564713\pi\)
−0.940702 + 0.339233i \(0.889833\pi\)
\(398\) 3.66006 25.4563i 0.183462 1.27601i
\(399\) −9.39375 + 2.75825i −0.470276 + 0.138085i
\(400\) −4.11761 2.64623i −0.205880 0.132311i
\(401\) 0.602480 + 4.19034i 0.0300864 + 0.209256i 0.999319 0.0368897i \(-0.0117450\pi\)
−0.969233 + 0.246145i \(0.920836\pi\)
\(402\) −4.26754 9.34461i −0.212846 0.466067i
\(403\) −1.06357 2.32888i −0.0529800 0.116010i
\(404\) −2.26322 15.7410i −0.112599 0.783145i
\(405\) 0.273100 + 0.175511i 0.0135705 + 0.00872120i
\(406\) 4.68942 1.37694i 0.232732 0.0683363i
\(407\) 0.976147 6.78925i 0.0483858 0.336531i
\(408\) 3.17486 3.66399i 0.157179 0.181394i
\(409\) 20.0119 12.8609i 0.989526 0.635930i 0.0575091 0.998345i \(-0.481684\pi\)
0.932017 + 0.362415i \(0.118048\pi\)
\(410\) 0.553803 + 0.639122i 0.0273504 + 0.0315640i
\(411\) −16.3836 4.81066i −0.808143 0.237292i
\(412\) 5.80424 12.7095i 0.285954 0.626152i
\(413\) −24.0933 −1.18555
\(414\) −2.28185 + 4.21819i −0.112147 + 0.207313i
\(415\) −0.342585 −0.0168168
\(416\) 0.111889 0.245002i 0.00548580 0.0120122i
\(417\) 15.6185 + 4.58602i 0.764844 + 0.224578i
\(418\) −8.96221 10.3429i −0.438356 0.505890i
\(419\) 18.7601 12.0564i 0.916490 0.588992i 0.00485270 0.999988i \(-0.498455\pi\)
0.911637 + 0.410996i \(0.134819\pi\)
\(420\) −0.517089 + 0.596752i −0.0252314 + 0.0291185i
\(421\) 3.40181 23.6601i 0.165794 1.15312i −0.721667 0.692241i \(-0.756624\pi\)
0.887461 0.460883i \(-0.152467\pi\)
\(422\) −18.8811 + 5.54398i −0.919116 + 0.269877i
\(423\) 4.37346 + 2.81065i 0.212645 + 0.136659i
\(424\) 0.153701 + 1.06902i 0.00746440 + 0.0519161i
\(425\) −9.85772 21.5854i −0.478170 1.04705i
\(426\) −4.74835 10.3974i −0.230058 0.503758i
\(427\) 1.50599 + 10.4744i 0.0728801 + 0.506892i
\(428\) 9.07869 + 5.83452i 0.438835 + 0.282022i
\(429\) 0.878692 0.258007i 0.0424236 0.0124567i
\(430\) −0.181826 + 1.26462i −0.00876841 + 0.0609856i
\(431\) −6.59736 + 7.61376i −0.317784 + 0.366742i −0.892058 0.451921i \(-0.850739\pi\)
0.574274 + 0.818663i \(0.305284\pi\)
\(432\) −0.841254 + 0.540641i −0.0404748 + 0.0260116i
\(433\) 21.5609 + 24.8827i 1.03615 + 1.19578i 0.980334 + 0.197343i \(0.0632314\pi\)
0.0558185 + 0.998441i \(0.482223\pi\)
\(434\) −22.1841 6.51383i −1.06487 0.312674i
\(435\) −0.270978 + 0.593359i −0.0129924 + 0.0284494i
\(436\) 16.3580 0.783404
\(437\) 18.1129 + 6.67486i 0.866458 + 0.319302i
\(438\) 1.13935 0.0544404
\(439\) −7.34482 + 16.0829i −0.350549 + 0.767595i 0.649425 + 0.760425i \(0.275009\pi\)
−0.999974 + 0.00716973i \(0.997718\pi\)
\(440\) −1.05908 0.310973i −0.0504895 0.0148250i
\(441\) 0.709741 + 0.819085i 0.0337972 + 0.0390040i
\(442\) 1.09852 0.705975i 0.0522512 0.0335798i
\(443\) 21.3548 24.6447i 1.01460 1.17091i 0.0293837 0.999568i \(-0.490646\pi\)
0.985212 0.171338i \(-0.0548090\pi\)
\(444\) −0.287095 + 1.99679i −0.0136249 + 0.0947633i
\(445\) 0.853732 0.250678i 0.0404708 0.0118833i
\(446\) −4.02993 2.58988i −0.190823 0.122634i
\(447\) −0.232037 1.61385i −0.0109750 0.0763325i
\(448\) −1.01042 2.21252i −0.0477380 0.104532i
\(449\) 14.6926 + 32.1724i 0.693388 + 1.51831i 0.847809 + 0.530302i \(0.177922\pi\)
−0.154421 + 0.988005i \(0.549351\pi\)
\(450\) 0.696576 + 4.84479i 0.0328369 + 0.228386i
\(451\) −7.45123 4.78862i −0.350865 0.225487i
\(452\) −19.1513 + 5.62332i −0.900801 + 0.264499i
\(453\) −1.67452 + 11.6466i −0.0786760 + 0.547203i
\(454\) −3.95153 + 4.56031i −0.185455 + 0.214026i
\(455\) −0.178915 + 0.114982i −0.00838768 + 0.00539043i
\(456\) 2.63587 + 3.04196i 0.123436 + 0.142453i
\(457\) 8.42385 + 2.47347i 0.394051 + 0.115704i 0.472754 0.881194i \(-0.343260\pi\)
−0.0787032 + 0.996898i \(0.525078\pi\)
\(458\) 3.02181 6.61684i 0.141200 0.309185i
\(459\) −4.84815 −0.226292
\(460\) 1.52000 0.336913i 0.0708705 0.0157087i
\(461\) 12.7701 0.594765 0.297382 0.954758i \(-0.403886\pi\)
0.297382 + 0.954758i \(0.403886\pi\)
\(462\) 3.43553 7.52276i 0.159835 0.349991i
\(463\) −15.1660 4.45314i −0.704824 0.206955i −0.0903706 0.995908i \(-0.528805\pi\)
−0.614453 + 0.788953i \(0.710623\pi\)
\(464\) −1.31585 1.51857i −0.0610867 0.0704978i
\(465\) 2.59597 1.66833i 0.120385 0.0773669i
\(466\) −5.51297 + 6.36231i −0.255384 + 0.294728i
\(467\) −0.494348 + 3.43827i −0.0228757 + 0.159104i −0.998057 0.0623025i \(-0.980156\pi\)
0.975182 + 0.221406i \(0.0710647\pi\)
\(468\) −0.258432 + 0.0758824i −0.0119460 + 0.00350767i
\(469\) −21.0205 13.5091i −0.970638 0.623791i
\(470\) −0.240184 1.67051i −0.0110788 0.0770551i
\(471\) −4.15686 9.10224i −0.191538 0.419409i
\(472\) 4.11488 + 9.01034i 0.189403 + 0.414734i
\(473\) −1.90436 13.2451i −0.0875628 0.609013i
\(474\) −13.5060 8.67981i −0.620353 0.398677i
\(475\) 18.9032 5.55049i 0.867339 0.254674i
\(476\) 1.67821 11.6722i 0.0769208 0.534996i
\(477\) 0.707256 0.816217i 0.0323830 0.0373720i
\(478\) −4.34097 + 2.78977i −0.198551 + 0.127601i
\(479\) −0.580042 0.669404i −0.0265028 0.0305859i 0.742343 0.670020i \(-0.233714\pi\)
−0.768846 + 0.639434i \(0.779169\pi\)
\(480\) 0.311485 + 0.0914602i 0.0142173 + 0.00417457i
\(481\) −0.225715 + 0.494248i −0.0102917 + 0.0225358i
\(482\) 15.6301 0.711931
\(483\) 0.877858 + 11.6319i 0.0399439 + 0.529271i
\(484\) 0.560608 0.0254822
\(485\) −1.83514 + 4.01839i −0.0833292 + 0.182466i
\(486\) 0.959493 + 0.281733i 0.0435235 + 0.0127796i
\(487\) 2.15352 + 2.48530i 0.0975854 + 0.112620i 0.802442 0.596731i \(-0.203534\pi\)
−0.704856 + 0.709350i \(0.748988\pi\)
\(488\) 3.65998 2.35212i 0.165679 0.106476i
\(489\) −10.4380 + 12.0461i −0.472022 + 0.544743i
\(490\) 0.0500722 0.348259i 0.00226203 0.0157328i
\(491\) −23.1280 + 6.79098i −1.04375 + 0.306473i −0.758290 0.651918i \(-0.773965\pi\)
−0.285461 + 0.958390i \(0.592147\pi\)
\(492\) 2.19148 + 1.40838i 0.0987996 + 0.0634947i
\(493\) −1.38638 9.64249i −0.0624395 0.434276i
\(494\) 0.450363 + 0.986156i 0.0202628 + 0.0443693i
\(495\) 0.458530 + 1.00404i 0.0206094 + 0.0451283i
\(496\) 1.35278 + 9.40881i 0.0607418 + 0.422468i
\(497\) −23.3888 15.0311i −1.04913 0.674237i
\(498\) −1.01255 + 0.297310i −0.0453733 + 0.0133228i
\(499\) −1.93407 + 13.4517i −0.0865808 + 0.602182i 0.899626 + 0.436662i \(0.143839\pi\)
−0.986206 + 0.165520i \(0.947070\pi\)
\(500\) 2.10350 2.42757i 0.0940714 0.108564i
\(501\) 8.02301 5.15608i 0.358442 0.230357i
\(502\) 9.09203 + 10.4928i 0.405797 + 0.468315i
\(503\) 15.7768 + 4.63248i 0.703452 + 0.206552i 0.613847 0.789425i \(-0.289621\pi\)
0.0896050 + 0.995977i \(0.471440\pi\)
\(504\) −1.01042 + 2.21252i −0.0450078 + 0.0985534i
\(505\) 5.16263 0.229734
\(506\) −14.2809 + 7.87090i −0.634862 + 0.349904i
\(507\) 12.9275 0.574128
\(508\) −2.26242 + 4.95402i −0.100379 + 0.219799i
\(509\) 24.3285 + 7.14351i 1.07834 + 0.316630i 0.772216 0.635360i \(-0.219148\pi\)
0.306128 + 0.951990i \(0.400967\pi\)
\(510\) 1.03067 + 1.18946i 0.0456389 + 0.0526701i
\(511\) 2.33134 1.49826i 0.103133 0.0662793i
\(512\) −0.654861 + 0.755750i −0.0289410 + 0.0333997i
\(513\) 0.572830 3.98412i 0.0252911 0.175903i
\(514\) 9.44917 2.77453i 0.416785 0.122379i
\(515\) 3.81579 + 2.45226i 0.168144 + 0.108060i
\(516\) 0.560093 + 3.89553i 0.0246567 + 0.171491i
\(517\) 7.34295 + 16.0788i 0.322943 + 0.707146i
\(518\) 2.03835 + 4.46336i 0.0895599 + 0.196109i
\(519\) −3.51952 24.4788i −0.154490 1.07450i
\(520\) 0.0735574 + 0.0472725i 0.00322570 + 0.00207303i
\(521\) −32.0385 + 9.40736i −1.40363 + 0.412144i −0.893930 0.448206i \(-0.852063\pi\)
−0.509703 + 0.860350i \(0.670245\pi\)
\(522\) −0.285961 + 1.98890i −0.0125162 + 0.0870519i
\(523\) −5.32600 + 6.14654i −0.232890 + 0.268769i −0.860151 0.510040i \(-0.829631\pi\)
0.627261 + 0.778809i \(0.284176\pi\)
\(524\) 12.8772 8.27565i 0.562542 0.361523i
\(525\) 7.79630 + 8.99741i 0.340258 + 0.392679i
\(526\) −0.219773 0.0645312i −0.00958256 0.00281369i
\(527\) −19.1442 + 41.9199i −0.833933 + 1.82606i
\(528\) −3.40009 −0.147970
\(529\) 12.2824 19.4459i 0.534017 0.845474i
\(530\) −0.350609 −0.0152295
\(531\) 4.11488 9.01034i 0.178571 0.391015i
\(532\) 9.39375 + 2.75825i 0.407271 + 0.119585i
\(533\) 0.459478 + 0.530265i 0.0199022 + 0.0229683i
\(534\) 2.30575 1.48181i 0.0997794 0.0641243i
\(535\) −2.29425 + 2.64770i −0.0991889 + 0.114470i
\(536\) −1.46199 + 10.1684i −0.0631485 + 0.439208i
\(537\) −25.2811 + 7.42319i −1.09096 + 0.320334i
\(538\) −0.364059 0.233966i −0.0156957 0.0100870i
\(539\) 0.524435 + 3.64752i 0.0225890 + 0.157110i
\(540\) −0.134858 0.295298i −0.00580337 0.0127076i
\(541\) 3.70936 + 8.12237i 0.159478 + 0.349208i 0.972456 0.233086i \(-0.0748824\pi\)
−0.812978 + 0.582294i \(0.802155\pi\)
\(542\) 1.03641 + 7.20842i 0.0445178 + 0.309628i
\(543\) 15.2913 + 9.82711i 0.656211 + 0.421721i
\(544\) −4.65177 + 1.36588i −0.199443 + 0.0585617i
\(545\) −0.755744 + 5.25631i −0.0323725 + 0.225156i
\(546\) −0.429017 + 0.495112i −0.0183602 + 0.0211888i
\(547\) 15.4714 9.94284i 0.661507 0.425125i −0.166348 0.986067i \(-0.553197\pi\)
0.827855 + 0.560942i \(0.189561\pi\)
\(548\) 11.1819 + 12.9046i 0.477668 + 0.551258i
\(549\) −4.17439 1.22571i −0.178159 0.0523121i
\(550\) −6.91339 + 15.1382i −0.294788 + 0.645495i
\(551\) 8.08783 0.344553
\(552\) 4.20014 2.31491i 0.178770 0.0985291i
\(553\) −39.0501 −1.66058
\(554\) −10.3726 + 22.7129i −0.440690 + 0.964977i
\(555\) −0.628365 0.184505i −0.0266726 0.00783178i
\(556\) −10.6598 12.3020i −0.452075 0.521722i
\(557\) −12.6466 + 8.12745i −0.535852 + 0.344371i −0.780415 0.625262i \(-0.784992\pi\)
0.244563 + 0.969633i \(0.421356\pi\)
\(558\) 6.22482 7.18383i 0.263518 0.304116i
\(559\) −0.150857 + 1.04923i −0.00638055 + 0.0443777i
\(560\) 0.757632 0.222461i 0.0320158 0.00940068i
\(561\) −13.8673 8.91200i −0.585480 0.376265i
\(562\) 1.04188 + 7.24641i 0.0439489 + 0.305671i
\(563\) −19.0391 41.6898i −0.802403 1.75702i −0.637110 0.770773i \(-0.719870\pi\)
−0.165292 0.986245i \(-0.552857\pi\)
\(564\) −2.15964 4.72894i −0.0909370 0.199124i
\(565\) −0.922150 6.41369i −0.0387951 0.269826i
\(566\) 8.82858 + 5.67379i 0.371093 + 0.238487i
\(567\) 2.33380 0.685265i 0.0980103 0.0287784i
\(568\) −1.62671 + 11.3140i −0.0682553 + 0.474726i
\(569\) −23.1602 + 26.7283i −0.970925 + 1.12051i 0.0217592 + 0.999763i \(0.493073\pi\)
−0.992684 + 0.120743i \(0.961472\pi\)
\(570\) −1.09925 + 0.706447i −0.0460427 + 0.0295898i
\(571\) −13.7788 15.9015i −0.576623 0.665459i 0.390252 0.920708i \(-0.372388\pi\)
−0.966875 + 0.255249i \(0.917842\pi\)
\(572\) −0.878692 0.258007i −0.0367399 0.0107878i
\(573\) −3.26213 + 7.14306i −0.136277 + 0.298406i
\(574\) 6.33625 0.264470
\(575\) −1.76653 23.4072i −0.0736695 0.976146i
\(576\) 1.00000 0.0416667
\(577\) −7.08933 + 15.5235i −0.295132 + 0.646250i −0.997872 0.0651968i \(-0.979232\pi\)
0.702740 + 0.711447i \(0.251960\pi\)
\(578\) −6.24108 1.83255i −0.259595 0.0762239i
\(579\) 15.4406 + 17.8193i 0.641687 + 0.740547i
\(580\) 0.548755 0.352663i 0.0227858 0.0146435i
\(581\) −1.68090 + 1.93987i −0.0697357 + 0.0804793i
\(582\) −1.93661 + 13.4694i −0.0802749 + 0.558324i
\(583\) 3.52338 1.03456i 0.145924 0.0428471i
\(584\) −0.958484 0.615981i −0.0396624 0.0254895i
\(585\) −0.0124437 0.0865478i −0.000514484 0.00357831i
\(586\) −6.72448 14.7246i −0.277786 0.608266i
\(587\) −1.33212 2.91695i −0.0549827 0.120395i 0.880147 0.474702i \(-0.157444\pi\)
−0.935129 + 0.354307i \(0.884717\pi\)
\(588\) −0.154241 1.07277i −0.00636081 0.0442404i
\(589\) −32.1870 20.6853i −1.32624 0.852324i
\(590\) −3.08541 + 0.905957i −0.127024 + 0.0372976i
\(591\) 1.31791 9.16623i 0.0542114 0.377048i
\(592\) 1.32106 1.52459i 0.0542954 0.0626602i
\(593\) −6.85977 + 4.40851i −0.281697 + 0.181036i −0.673858 0.738861i \(-0.735364\pi\)
0.392161 + 0.919897i \(0.371728\pi\)
\(594\) 2.22659 + 2.56962i 0.0913579 + 0.105433i
\(595\) 3.67311 + 1.07852i 0.150583 + 0.0442151i
\(596\) −0.677312 + 1.48311i −0.0277438 + 0.0607504i
\(597\) 25.7180 1.05257
\(598\) 1.26111 0.279529i 0.0515707 0.0114308i
\(599\) −44.6481 −1.82427 −0.912136 0.409888i \(-0.865568\pi\)
−0.912136 + 0.409888i \(0.865568\pi\)
\(600\) 2.03330 4.45230i 0.0830089 0.181764i
\(601\) 26.6336 + 7.82032i 1.08641 + 0.318997i 0.775438 0.631423i \(-0.217529\pi\)
0.310967 + 0.950421i \(0.399347\pi\)
\(602\) 6.26873 + 7.23450i 0.255495 + 0.294856i
\(603\) 8.64216 5.55398i 0.351936 0.226176i
\(604\) 7.70531 8.89240i 0.313524 0.361827i
\(605\) −0.0259003 + 0.180140i −0.00105300 + 0.00732375i
\(606\) 15.2587 4.48036i 0.619843 0.182002i
\(607\) −19.8382 12.7492i −0.805208 0.517476i 0.0721032 0.997397i \(-0.477029\pi\)
−0.877312 + 0.479921i \(0.840665\pi\)
\(608\) −0.572830 3.98412i −0.0232313 0.161577i
\(609\) 2.03030 + 4.44573i 0.0822718 + 0.180150i
\(610\) 0.586717 + 1.28473i 0.0237555 + 0.0520173i
\(611\) −0.199275 1.38599i −0.00806180 0.0560711i
\(612\) 4.07852 + 2.62111i 0.164865 + 0.105952i
\(613\) 31.5163 9.25402i 1.27293 0.373766i 0.425639 0.904893i \(-0.360049\pi\)
0.847293 + 0.531126i \(0.178231\pi\)
\(614\) −2.54034 + 17.6684i −0.102520 + 0.713040i
\(615\) −0.553803 + 0.639122i −0.0223315 + 0.0257719i
\(616\) −6.95726 + 4.47116i −0.280316 + 0.180148i
\(617\) 15.3160 + 17.6756i 0.616598 + 0.711592i 0.975057 0.221953i \(-0.0712432\pi\)
−0.358459 + 0.933545i \(0.616698\pi\)
\(618\) 13.4062 + 3.93641i 0.539275 + 0.158345i
\(619\) −5.17132 + 11.3236i −0.207853 + 0.455135i −0.984633 0.174638i \(-0.944125\pi\)
0.776780 + 0.629772i \(0.216852\pi\)
\(620\) −3.08584 −0.123930
\(621\) −4.50000 1.65831i −0.180579 0.0665458i
\(622\) −14.7357 −0.590848
\(623\) 2.76941 6.06417i 0.110954 0.242956i
\(624\) 0.258432 + 0.0758824i 0.0103456 + 0.00303773i
\(625\) −15.3436 17.7074i −0.613743 0.708297i
\(626\) −4.80930 + 3.09075i −0.192218 + 0.123531i
\(627\) 8.96221 10.3429i 0.357916 0.413057i
\(628\) −1.42408 + 9.90466i −0.0568268 + 0.395239i
\(629\) 9.38410 2.75542i 0.374169 0.109866i
\(630\) −0.664268 0.426899i −0.0264651 0.0170081i
\(631\) −4.62178 32.1452i −0.183990 1.27968i −0.847211 0.531256i \(-0.821720\pi\)
0.663221 0.748423i \(-0.269189\pi\)
\(632\) 6.66935 + 14.6038i 0.265292 + 0.580909i
\(633\) −8.17461 17.8999i −0.324911 0.711457i
\(634\) 0.996557 + 6.93120i 0.0395783 + 0.275273i
\(635\) −1.48735 0.955863i −0.0590238 0.0379323i
\(636\) −1.03626 + 0.304274i −0.0410905 + 0.0120653i
\(637\) 0.0415437 0.288943i 0.00164602 0.0114483i
\(638\) −4.47400 + 5.16327i −0.177127 + 0.204416i
\(639\) 9.61585 6.17973i 0.380397 0.244466i
\(640\) −0.212591 0.245343i −0.00840338 0.00969802i
\(641\) −3.63617 1.06768i −0.143620 0.0421706i 0.209132 0.977887i \(-0.432936\pi\)
−0.352752 + 0.935717i \(0.614754\pi\)
\(642\) −4.48310 + 9.81662i −0.176934 + 0.387431i
\(643\) 16.4223 0.647634 0.323817 0.946120i \(-0.395034\pi\)
0.323817 + 0.946120i \(0.395034\pi\)
\(644\) 5.55020 10.2600i 0.218708 0.404301i
\(645\) −1.27763 −0.0503066
\(646\) 8.10651 17.7508i 0.318946 0.698395i
\(647\) 4.97565 + 1.46098i 0.195613 + 0.0574371i 0.378071 0.925776i \(-0.376587\pi\)
−0.182459 + 0.983214i \(0.558406\pi\)
\(648\) −0.654861 0.755750i −0.0257254 0.0296886i
\(649\) 28.3330 18.2085i 1.11217 0.714747i
\(650\) 0.863319 0.996324i 0.0338622 0.0390790i
\(651\) 3.29041 22.8853i 0.128961 0.896945i
\(652\) 15.2936 4.49061i 0.598944 0.175866i
\(653\) −21.6850 13.9361i −0.848599 0.545361i 0.0425387 0.999095i \(-0.486455\pi\)
−0.891137 + 0.453734i \(0.850092\pi\)
\(654\) 2.32798 + 16.1915i 0.0910312 + 0.633136i
\(655\) 2.06429 + 4.52016i 0.0806585 + 0.176617i
\(656\) −1.08216 2.36961i −0.0422514 0.0925177i
\(657\) 0.162147 + 1.12776i 0.00632595 + 0.0439979i
\(658\) −10.6377 6.83641i −0.414699 0.266511i
\(659\) 42.0872 12.3579i 1.63948 0.481396i 0.673325 0.739346i \(-0.264865\pi\)
0.966158 + 0.257951i \(0.0830472\pi\)
\(660\) 0.157085 1.09255i 0.00611454 0.0425275i
\(661\) −6.17600 + 7.12748i −0.240218 + 0.277227i −0.863038 0.505138i \(-0.831441\pi\)
0.622820 + 0.782365i \(0.285987\pi\)
\(662\) 16.4074 10.5444i 0.637691 0.409819i
\(663\) 0.855124 + 0.986866i 0.0332103 + 0.0383267i
\(664\) 1.01255 + 0.297310i 0.0392944 + 0.0115379i
\(665\) −1.32031 + 2.89106i −0.0511992 + 0.112111i
\(666\) −2.01732 −0.0781696
\(667\) 2.01140 9.42427i 0.0778816 0.364909i
\(668\) −9.53697 −0.368997
\(669\) 1.99000 4.35749i 0.0769378 0.168470i
\(670\) −3.19987 0.939567i −0.123622 0.0362986i
\(671\) −9.68703 11.1794i −0.373964 0.431577i
\(672\) 2.04620 1.31501i 0.0789339 0.0507277i
\(673\) 5.85466 6.75663i 0.225680 0.260449i −0.631605 0.775290i \(-0.717604\pi\)
0.857286 + 0.514841i \(0.172149\pi\)
\(674\) 2.89944 20.1661i 0.111682 0.776768i
\(675\) −4.69635 + 1.37897i −0.180762 + 0.0530766i
\(676\) −10.8753 6.98911i −0.418280 0.268812i
\(677\) 5.03455 + 35.0160i 0.193493 + 1.34578i 0.822673 + 0.568515i \(0.192482\pi\)
−0.629179 + 0.777260i \(0.716609\pi\)
\(678\) −8.29160 18.1561i −0.318437 0.697280i
\(679\) 13.7497 + 30.1077i 0.527667 + 1.15543i
\(680\) −0.223986 1.55786i −0.00858948 0.0597411i
\(681\) −5.07626 3.26231i −0.194523 0.125012i
\(682\) 31.0106 9.10553i 1.18746 0.348669i
\(683\) −4.16833 + 28.9914i −0.159497 + 1.10932i 0.740067 + 0.672533i \(0.234794\pi\)
−0.899563 + 0.436790i \(0.856115\pi\)
\(684\) −2.63587 + 3.04196i −0.100785 + 0.116312i
\(685\) −4.66326 + 2.99689i −0.178174 + 0.114505i
\(686\) −12.8761 14.8599i −0.491614 0.567352i
\(687\) 6.97954 + 2.04938i 0.266286 + 0.0781886i
\(688\) 1.63490 3.57994i 0.0623301 0.136484i
\(689\) −0.290892 −0.0110821
\(690\) 0.549803 + 1.45658i 0.0209306 + 0.0554512i
\(691\) −20.9634 −0.797487 −0.398744 0.917062i \(-0.630554\pi\)
−0.398744 + 0.917062i \(0.630554\pi\)
\(692\) −10.2734 + 22.4956i −0.390537 + 0.855156i
\(693\) 7.93512 + 2.32996i 0.301430 + 0.0885079i
\(694\) 1.22694 + 1.41596i 0.0465739 + 0.0537491i
\(695\) 4.44550 2.85695i 0.168628 0.108370i
\(696\) 1.31585 1.51857i 0.0498770 0.0575612i
\(697\) 1.79737 12.5010i 0.0680802 0.473508i
\(698\) −15.7948 + 4.63778i −0.597843 + 0.175543i
\(699\) −7.08213 4.55141i −0.267871 0.172150i
\(700\) −1.69430 11.7841i −0.0640384 0.445397i
\(701\) −13.3349 29.1993i −0.503651 1.10284i −0.975265 0.221037i \(-0.929056\pi\)
0.471615 0.881805i \(-0.343671\pi\)
\(702\) −0.111889 0.245002i −0.00422297 0.00924701i
\(703\) 1.15558 + 8.03725i 0.0435836 + 0.303131i
\(704\) 2.86034 + 1.83823i 0.107803 + 0.0692808i
\(705\) 1.61933 0.475478i 0.0609875 0.0179075i
\(706\) 1.15024 8.00010i 0.0432899 0.301088i
\(707\) 25.3306 29.2331i 0.952657 1.09942i
\(708\) −8.33302 + 5.35530i −0.313174 + 0.201265i
\(709\) 22.1040 + 25.5094i 0.830133 + 0.958025i 0.999622 0.0275074i \(-0.00875699\pi\)
−0.169488 + 0.985532i \(0.554212\pi\)
\(710\) −3.56039 1.04542i −0.133619 0.0392341i
\(711\) 6.66935 14.6038i 0.250120 0.547687i
\(712\) −2.74085 −0.102718
\(713\) −32.1081 + 32.3613i −1.20246 + 1.21194i
\(714\) 11.7923 0.441315
\(715\) 0.123501 0.270430i 0.00461869 0.0101135i
\(716\) 25.2811 + 7.42319i 0.944798 + 0.277418i
\(717\) −3.37916 3.89976i −0.126197 0.145639i
\(718\) 14.9844 9.62991i 0.559214 0.359385i
\(719\) 30.7708 35.5114i 1.14756 1.32435i 0.209527 0.977803i \(-0.432807\pi\)
0.938031 0.346551i \(-0.112647\pi\)
\(720\) −0.0462003 + 0.321330i −0.00172179 + 0.0119753i
\(721\) 32.6081 9.57461i 1.21439 0.356577i
\(722\) −2.35436 1.51306i −0.0876203 0.0563101i
\(723\) 2.22439 + 15.4710i 0.0827261 + 0.575373i
\(724\) −7.55091 16.5342i −0.280627 0.614488i
\(725\) −4.08561 8.94624i −0.151736 0.332255i
\(726\) 0.0797828 + 0.554902i 0.00296102 + 0.0205943i
\(727\) 14.1753 + 9.10990i 0.525732 + 0.337868i 0.776436 0.630196i \(-0.217026\pi\)
−0.250704 + 0.968064i \(0.580662\pi\)
\(728\) 0.628590 0.184571i 0.0232971 0.00684064i
\(729\) −0.142315 + 0.989821i −0.00527092 + 0.0366601i
\(730\) 0.242216 0.279532i 0.00896480 0.0103459i
\(731\) 16.0514 10.3156i 0.593682 0.381536i
\(732\) 2.84905 + 3.28798i 0.105304 + 0.121527i
\(733\) −10.2565 3.01158i −0.378832 0.111235i 0.0867723 0.996228i \(-0.472345\pi\)
−0.465604 + 0.884993i \(0.654163\pi\)
\(734\) −1.75490 + 3.84270i −0.0647746 + 0.141837i
\(735\) 0.351841 0.0129778
\(736\) −4.78492 0.323343i −0.176374 0.0119186i
\(737\) 34.9290 1.28663
\(738\) −1.08216 + 2.36961i −0.0398350 + 0.0872265i
\(739\) −23.8837 7.01290i −0.878577 0.257974i −0.188818 0.982012i \(-0.560466\pi\)
−0.689759 + 0.724039i \(0.742284\pi\)
\(740\) 0.428863 + 0.494935i 0.0157653 + 0.0181942i
\(741\) −0.912026 + 0.586123i −0.0335041 + 0.0215318i
\(742\) −1.72028 + 1.98530i −0.0631533 + 0.0728828i
\(743\) −5.43203 + 37.7806i −0.199282 + 1.38604i 0.607093 + 0.794631i \(0.292336\pi\)
−0.806375 + 0.591405i \(0.798573\pi\)
\(744\) −9.12052 + 2.67803i −0.334375 + 0.0981812i
\(745\) −0.445275 0.286161i −0.0163136 0.0104841i
\(746\) 0.963494 + 6.70125i 0.0352760 + 0.245350i
\(747\) −0.438384 0.959928i −0.0160396 0.0351219i
\(748\) 6.84776 + 14.9945i 0.250379 + 0.548253i
\(749\) 3.73566 + 25.9821i 0.136498 + 0.949365i
\(750\) 2.70222 + 1.73661i 0.0986711 + 0.0634121i
\(751\) −42.4661 + 12.4692i −1.54961 + 0.455006i −0.940984 0.338452i \(-0.890097\pi\)
−0.608625 + 0.793458i \(0.708279\pi\)
\(752\) −0.739858 + 5.14583i −0.0269798 + 0.187649i
\(753\) −9.09203 + 10.4928i −0.331332 + 0.382377i
\(754\) 0.455289 0.292597i 0.0165807 0.0106557i
\(755\) 2.50141 + 2.88678i 0.0910356 + 0.105061i
\(756\) −2.33380 0.685265i −0.0848794 0.0249228i
\(757\) −4.06477 + 8.90060i −0.147737 + 0.323498i −0.969004 0.247046i \(-0.920540\pi\)
0.821267 + 0.570544i \(0.193267\pi\)
\(758\) 8.78615 0.319128
\(759\) −9.82316 13.0154i −0.356558 0.472427i
\(760\) 1.30668 0.0473984
\(761\) 9.94877 21.7848i 0.360643 0.789697i −0.639145 0.769086i \(-0.720712\pi\)
0.999788 0.0206110i \(-0.00656116\pi\)
\(762\) −5.22557 1.53437i −0.189302 0.0555842i
\(763\) 26.0555 + 30.0696i 0.943272 + 1.08859i
\(764\) 6.60611 4.24549i 0.239001 0.153596i
\(765\) −1.03067 + 1.18946i −0.0372640 + 0.0430049i
\(766\) 3.27388 22.7703i 0.118290 0.822725i
\(767\) −2.55989 + 0.751652i −0.0924323 + 0.0271406i
\(768\) −0.841254 0.540641i −0.0303561 0.0195087i
\(769\) 3.93966 + 27.4010i 0.142068 + 0.988104i 0.928740 +