Properties

Label 210.3.w.b.17.15
Level 210
Weight 3
Character 210.17
Analytic conductor 5.722
Analytic rank 0
Dimension 64
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) \(=\) \( 210 = 2 \cdot 3 \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 210.w (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.72208555157\)
Analytic rank: \(0\)
Dimension: \(64\)
Relative dimension: \(16\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 17.15
Character \(\chi\) \(=\) 210.17
Dual form 210.3.w.b.173.15

$q$-expansion

\(f(q)\) \(=\) \(q+(1.36603 + 0.366025i) q^{2} +(2.92260 - 0.677069i) q^{3} +(1.73205 + 1.00000i) q^{4} +(4.99957 - 0.0656422i) q^{5} +(4.24017 + 0.144852i) q^{6} +(-2.70652 + 6.45560i) q^{7} +(2.00000 + 2.00000i) q^{8} +(8.08316 - 3.95760i) q^{9} +O(q^{10})\) \(q+(1.36603 + 0.366025i) q^{2} +(2.92260 - 0.677069i) q^{3} +(1.73205 + 1.00000i) q^{4} +(4.99957 - 0.0656422i) q^{5} +(4.24017 + 0.144852i) q^{6} +(-2.70652 + 6.45560i) q^{7} +(2.00000 + 2.00000i) q^{8} +(8.08316 - 3.95760i) q^{9} +(6.85357 + 1.74030i) q^{10} +(-17.7852 - 10.2683i) q^{11} +(5.73916 + 1.74988i) q^{12} +(10.2742 + 10.2742i) q^{13} +(-6.06009 + 7.82786i) q^{14} +(14.5673 - 3.57690i) q^{15} +(2.00000 + 3.46410i) q^{16} +(-16.4097 + 4.39696i) q^{17} +(12.4904 - 2.44754i) q^{18} +(-11.5679 - 20.0362i) q^{19} +(8.72515 + 4.88587i) q^{20} +(-3.53919 + 20.6996i) q^{21} +(-20.5366 - 20.5366i) q^{22} +(5.50900 - 20.5599i) q^{23} +(7.19933 + 4.49106i) q^{24} +(24.9914 - 0.656366i) q^{25} +(10.2742 + 17.7954i) q^{26} +(20.9442 - 17.0393i) q^{27} +(-11.1434 + 8.47490i) q^{28} -2.30614 q^{29} +(21.2085 + 0.445862i) q^{30} +(3.09559 + 1.78724i) q^{31} +(1.46410 + 5.46410i) q^{32} +(-58.9314 - 17.9683i) q^{33} -24.0255 q^{34} +(-13.1077 + 32.4529i) q^{35} +(17.9580 + 1.22839i) q^{36} +(-10.7499 + 40.1190i) q^{37} +(-8.46831 - 31.6042i) q^{38} +(36.9836 + 23.0710i) q^{39} +(10.1304 + 9.86785i) q^{40} +0.0268075 q^{41} +(-12.4112 + 26.9808i) q^{42} +(-6.00590 + 6.00590i) q^{43} +(-20.5366 - 35.5705i) q^{44} +(40.1525 - 20.3169i) q^{45} +(15.0509 - 26.0689i) q^{46} +(3.18676 - 11.8931i) q^{47} +(8.19063 + 8.77004i) q^{48} +(-34.3495 - 34.9444i) q^{49} +(34.3791 + 8.25087i) q^{50} +(-44.9819 + 23.9610i) q^{51} +(7.52122 + 28.0696i) q^{52} +(-8.99679 + 2.41068i) q^{53} +(34.8472 - 15.6100i) q^{54} +(-89.5925 - 50.1696i) q^{55} +(-18.3242 + 7.49816i) q^{56} +(-47.3743 - 50.7256i) q^{57} +(-3.15025 - 0.844106i) q^{58} +(-13.7556 - 7.94180i) q^{59} +(28.8082 + 8.37192i) q^{60} +(41.9848 - 24.2400i) q^{61} +(3.57448 + 3.57448i) q^{62} +(3.67145 + 62.8929i) q^{63} +8.00000i q^{64} +(52.0409 + 50.6920i) q^{65} +(-73.9250 - 46.1156i) q^{66} +(-23.7880 + 6.37397i) q^{67} +(-32.8194 - 8.79393i) q^{68} +(2.18014 - 63.8182i) q^{69} +(-29.7840 + 39.5337i) q^{70} +80.4443i q^{71} +(24.0815 + 8.25111i) q^{72} +(-137.930 + 36.9582i) q^{73} +(-29.3691 + 50.8688i) q^{74} +(72.5954 - 18.8392i) q^{75} -46.2717i q^{76} +(114.424 - 87.0229i) q^{77} +(42.0760 + 45.0525i) q^{78} +(-22.7970 + 13.1619i) q^{79} +(10.2265 + 17.1877i) q^{80} +(49.6748 - 63.9798i) q^{81} +(0.0366197 + 0.00981222i) q^{82} +(83.7069 - 83.7069i) q^{83} +(-26.8297 + 32.3136i) q^{84} +(-81.7527 + 23.0601i) q^{85} +(-10.4025 + 6.00590i) q^{86} +(-6.73992 + 1.56142i) q^{87} +(-15.0338 - 56.1071i) q^{88} +(-39.3534 + 22.7207i) q^{89} +(62.2858 - 13.0565i) q^{90} +(-94.1332 + 38.5187i) q^{91} +(30.1017 - 30.1017i) q^{92} +(10.2572 + 3.12746i) q^{93} +(8.70638 - 15.0799i) q^{94} +(-59.1499 - 99.4132i) q^{95} +(7.97855 + 14.9781i) q^{96} +(84.5722 - 84.5722i) q^{97} +(-34.1317 - 60.3077i) q^{98} +(-184.399 - 12.6135i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 64q + 32q^{2} + 6q^{3} + 12q^{5} + 4q^{7} + 128q^{8} + 16q^{9} + O(q^{10}) \) \( 64q + 32q^{2} + 6q^{3} + 12q^{5} + 4q^{7} + 128q^{8} + 16q^{9} + 24q^{10} - 12q^{12} + 16q^{14} + 68q^{15} + 128q^{16} - 12q^{18} + 36q^{21} + 16q^{22} + 12q^{23} - 16q^{25} + 8q^{28} + 112q^{29} + 22q^{30} - 128q^{32} + 30q^{33} + 16q^{36} - 32q^{37} - 24q^{38} - 64q^{39} - 88q^{42} + 32q^{43} + 16q^{44} - 474q^{45} - 24q^{46} + 96q^{47} - 40q^{50} - 84q^{51} - 56q^{53} + 72q^{54} - 220q^{57} + 56q^{58} - 672q^{59} + 24q^{60} + 600q^{61} - 114q^{63} - 28q^{65} + 16q^{67} + 40q^{72} - 624q^{73} + 64q^{74} - 144q^{75} - 208q^{77} - 248q^{78} + 48q^{80} - 64q^{81} - 192q^{82} - 160q^{84} - 152q^{85} - 672q^{87} - 16q^{88} - 144q^{89} - 232q^{91} - 48q^{92} - 202q^{93} - 136q^{95} - 48q^{96} - 128q^{98} - 160q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/210\mathbb{Z}\right)^\times\).

\(n\) \(31\) \(71\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(-1\) \(e\left(\frac{1}{4}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.36603 + 0.366025i 0.683013 + 0.183013i
\(3\) 2.92260 0.677069i 0.974199 0.225690i
\(4\) 1.73205 + 1.00000i 0.433013 + 0.250000i
\(5\) 4.99957 0.0656422i 0.999914 0.0131284i
\(6\) 4.24017 + 0.144852i 0.706695 + 0.0241420i
\(7\) −2.70652 + 6.45560i −0.386646 + 0.922228i
\(8\) 2.00000 + 2.00000i 0.250000 + 0.250000i
\(9\) 8.08316 3.95760i 0.898128 0.439733i
\(10\) 6.85357 + 1.74030i 0.685357 + 0.174030i
\(11\) −17.7852 10.2683i −1.61684 0.933482i −0.987731 0.156164i \(-0.950087\pi\)
−0.629108 0.777318i \(-0.716580\pi\)
\(12\) 5.73916 + 1.74988i 0.478263 + 0.145823i
\(13\) 10.2742 + 10.2742i 0.790321 + 0.790321i 0.981546 0.191225i \(-0.0612460\pi\)
−0.191225 + 0.981546i \(0.561246\pi\)
\(14\) −6.06009 + 7.82786i −0.432863 + 0.559133i
\(15\) 14.5673 3.57690i 0.971152 0.238460i
\(16\) 2.00000 + 3.46410i 0.125000 + 0.216506i
\(17\) −16.4097 + 4.39696i −0.965276 + 0.258645i −0.706832 0.707381i \(-0.749876\pi\)
−0.258444 + 0.966026i \(0.583210\pi\)
\(18\) 12.4904 2.44754i 0.693910 0.135975i
\(19\) −11.5679 20.0362i −0.608838 1.05454i −0.991432 0.130622i \(-0.958302\pi\)
0.382594 0.923917i \(-0.375031\pi\)
\(20\) 8.72515 + 4.88587i 0.436257 + 0.244294i
\(21\) −3.53919 + 20.6996i −0.168533 + 0.985696i
\(22\) −20.5366 20.5366i −0.933482 0.933482i
\(23\) 5.50900 20.5599i 0.239522 0.893907i −0.736537 0.676398i \(-0.763540\pi\)
0.976058 0.217509i \(-0.0697932\pi\)
\(24\) 7.19933 + 4.49106i 0.299972 + 0.187127i
\(25\) 24.9914 0.656366i 0.999655 0.0262546i
\(26\) 10.2742 + 17.7954i 0.395161 + 0.684438i
\(27\) 20.9442 17.0393i 0.775713 0.631086i
\(28\) −11.1434 + 8.47490i −0.397980 + 0.302675i
\(29\) −2.30614 −0.0795221 −0.0397610 0.999209i \(-0.512660\pi\)
−0.0397610 + 0.999209i \(0.512660\pi\)
\(30\) 21.2085 + 0.445862i 0.706951 + 0.0148621i
\(31\) 3.09559 + 1.78724i 0.0998577 + 0.0576529i 0.549097 0.835758i \(-0.314972\pi\)
−0.449239 + 0.893411i \(0.648305\pi\)
\(32\) 1.46410 + 5.46410i 0.0457532 + 0.170753i
\(33\) −58.9314 17.9683i −1.78580 0.544494i
\(34\) −24.0255 −0.706631
\(35\) −13.1077 + 32.4529i −0.374505 + 0.927225i
\(36\) 17.9580 + 1.22839i 0.498834 + 0.0341220i
\(37\) −10.7499 + 40.1190i −0.290536 + 1.08430i 0.654161 + 0.756355i \(0.273022\pi\)
−0.944698 + 0.327942i \(0.893645\pi\)
\(38\) −8.46831 31.6042i −0.222850 0.831689i
\(39\) 36.9836 + 23.0710i 0.948298 + 0.591563i
\(40\) 10.1304 + 9.86785i 0.253261 + 0.246696i
\(41\) 0.0268075 0.000653841 0.000326921 1.00000i \(-0.499896\pi\)
0.000326921 1.00000i \(0.499896\pi\)
\(42\) −12.4112 + 26.9808i −0.295505 + 0.642399i
\(43\) −6.00590 + 6.00590i −0.139672 + 0.139672i −0.773486 0.633814i \(-0.781489\pi\)
0.633814 + 0.773486i \(0.281489\pi\)
\(44\) −20.5366 35.5705i −0.466741 0.808419i
\(45\) 40.1525 20.3169i 0.892278 0.451486i
\(46\) 15.0509 26.0689i 0.327193 0.566714i
\(47\) 3.18676 11.8931i 0.0678033 0.253046i −0.923702 0.383112i \(-0.874852\pi\)
0.991505 + 0.130066i \(0.0415190\pi\)
\(48\) 8.19063 + 8.77004i 0.170638 + 0.182709i
\(49\) −34.3495 34.9444i −0.701010 0.713151i
\(50\) 34.3791 + 8.25087i 0.687582 + 0.165017i
\(51\) −44.9819 + 23.9610i −0.881997 + 0.469824i
\(52\) 7.52122 + 28.0696i 0.144639 + 0.539800i
\(53\) −8.99679 + 2.41068i −0.169751 + 0.0454846i −0.342693 0.939447i \(-0.611339\pi\)
0.172943 + 0.984932i \(0.444672\pi\)
\(54\) 34.8472 15.6100i 0.645318 0.289075i
\(55\) −89.5925 50.1696i −1.62895 0.912175i
\(56\) −18.3242 + 7.49816i −0.327219 + 0.133896i
\(57\) −47.3743 50.7256i −0.831129 0.889923i
\(58\) −3.15025 0.844106i −0.0543146 0.0145535i
\(59\) −13.7556 7.94180i −0.233146 0.134607i 0.378877 0.925447i \(-0.376310\pi\)
−0.612022 + 0.790840i \(0.709644\pi\)
\(60\) 28.8082 + 8.37192i 0.480136 + 0.139532i
\(61\) 41.9848 24.2400i 0.688276 0.397376i −0.114690 0.993401i \(-0.536587\pi\)
0.802966 + 0.596025i \(0.203254\pi\)
\(62\) 3.57448 + 3.57448i 0.0576529 + 0.0576529i
\(63\) 3.67145 + 62.8929i 0.0582770 + 0.998300i
\(64\) 8.00000i 0.125000i
\(65\) 52.0409 + 50.6920i 0.800629 + 0.779878i
\(66\) −73.9250 46.1156i −1.12008 0.698721i
\(67\) −23.7880 + 6.37397i −0.355045 + 0.0951339i −0.431933 0.901906i \(-0.642168\pi\)
0.0768881 + 0.997040i \(0.475502\pi\)
\(68\) −32.8194 8.79393i −0.482638 0.129322i
\(69\) 2.18014 63.8182i 0.0315963 0.924901i
\(70\) −29.7840 + 39.5337i −0.425486 + 0.564767i
\(71\) 80.4443i 1.13302i 0.824055 + 0.566509i \(0.191706\pi\)
−0.824055 + 0.566509i \(0.808294\pi\)
\(72\) 24.0815 + 8.25111i 0.334465 + 0.114599i
\(73\) −137.930 + 36.9582i −1.88945 + 0.506277i −0.890796 + 0.454403i \(0.849853\pi\)
−0.998654 + 0.0518734i \(0.983481\pi\)
\(74\) −29.3691 + 50.8688i −0.396880 + 0.687417i
\(75\) 72.5954 18.8392i 0.967938 0.251189i
\(76\) 46.2717i 0.608838i
\(77\) 114.424 87.0229i 1.48603 1.13017i
\(78\) 42.0760 + 45.0525i 0.539436 + 0.577596i
\(79\) −22.7970 + 13.1619i −0.288570 + 0.166606i −0.637297 0.770619i \(-0.719947\pi\)
0.348727 + 0.937224i \(0.386614\pi\)
\(80\) 10.2265 + 17.1877i 0.127832 + 0.214847i
\(81\) 49.6748 63.9798i 0.613269 0.789874i
\(82\) 0.0366197 + 0.00981222i 0.000446582 + 0.000119661i
\(83\) 83.7069 83.7069i 1.00852 1.00852i 0.00855347 0.999963i \(-0.497277\pi\)
0.999963 0.00855347i \(-0.00272269\pi\)
\(84\) −26.8297 + 32.3136i −0.319401 + 0.384686i
\(85\) −81.7527 + 23.0601i −0.961797 + 0.271295i
\(86\) −10.4025 + 6.00590i −0.120960 + 0.0698360i
\(87\) −6.73992 + 1.56142i −0.0774703 + 0.0179473i
\(88\) −15.0338 56.1071i −0.170839 0.637580i
\(89\) −39.3534 + 22.7207i −0.442173 + 0.255289i −0.704519 0.709685i \(-0.748837\pi\)
0.262346 + 0.964974i \(0.415504\pi\)
\(90\) 62.2858 13.0565i 0.692065 0.145073i
\(91\) −94.1332 + 38.5187i −1.03443 + 0.423282i
\(92\) 30.1017 30.1017i 0.327193 0.327193i
\(93\) 10.2572 + 3.12746i 0.110293 + 0.0336285i
\(94\) 8.70638 15.0799i 0.0926211 0.160424i
\(95\) −59.1499 99.4132i −0.622630 1.04646i
\(96\) 7.97855 + 14.9781i 0.0831099 + 0.156022i
\(97\) 84.5722 84.5722i 0.871878 0.871878i −0.120799 0.992677i \(-0.538546\pi\)
0.992677 + 0.120799i \(0.0385456\pi\)
\(98\) −34.1317 60.3077i −0.348283 0.615385i
\(99\) −184.399 12.6135i −1.86261 0.127409i
\(100\) 43.9427 + 23.8545i 0.439427 + 0.238545i
\(101\) −78.0280 + 135.148i −0.772554 + 1.33810i 0.163605 + 0.986526i \(0.447688\pi\)
−0.936159 + 0.351577i \(0.885646\pi\)
\(102\) −70.2167 + 16.2669i −0.688399 + 0.159479i
\(103\) 23.1494 86.3948i 0.224752 0.838785i −0.757752 0.652542i \(-0.773702\pi\)
0.982504 0.186242i \(-0.0596309\pi\)
\(104\) 41.0967i 0.395161i
\(105\) −16.3356 + 103.721i −0.155577 + 0.987824i
\(106\) −13.1722 −0.124266
\(107\) 46.5411 + 12.4706i 0.434963 + 0.116548i 0.469655 0.882850i \(-0.344378\pi\)
−0.0346918 + 0.999398i \(0.511045\pi\)
\(108\) 53.3158 8.56873i 0.493665 0.0793401i
\(109\) −32.5583 18.7976i −0.298700 0.172455i 0.343159 0.939278i \(-0.388503\pi\)
−0.641859 + 0.766823i \(0.721837\pi\)
\(110\) −104.022 101.326i −0.945657 0.921147i
\(111\) −4.25417 + 124.530i −0.0383259 + 1.12189i
\(112\) −27.7759 + 3.53553i −0.247999 + 0.0315673i
\(113\) 50.8023 + 50.8023i 0.449578 + 0.449578i 0.895214 0.445636i \(-0.147023\pi\)
−0.445636 + 0.895214i \(0.647023\pi\)
\(114\) −46.1477 86.6327i −0.404804 0.759936i
\(115\) 26.1930 103.152i 0.227765 0.896975i
\(116\) −3.99435 2.30614i −0.0344341 0.0198805i
\(117\) 123.709 + 42.3867i 1.05734 + 0.362279i
\(118\) −15.8836 15.8836i −0.134607 0.134607i
\(119\) 16.0281 117.835i 0.134690 0.990209i
\(120\) 36.2884 + 21.9808i 0.302403 + 0.183173i
\(121\) 150.376 + 260.459i 1.24278 + 2.15256i
\(122\) 66.2248 17.7449i 0.542826 0.145450i
\(123\) 0.0783475 0.0181505i 0.000636972 0.000147565i
\(124\) 3.57448 + 6.19118i 0.0288264 + 0.0499289i
\(125\) 124.903 4.92204i 0.999224 0.0393763i
\(126\) −18.0051 + 87.2572i −0.142898 + 0.692517i
\(127\) 116.547 + 116.547i 0.917690 + 0.917690i 0.996861 0.0791709i \(-0.0252273\pi\)
−0.0791709 + 0.996861i \(0.525227\pi\)
\(128\) −2.92820 + 10.9282i −0.0228766 + 0.0853766i
\(129\) −13.4864 + 21.6192i −0.104546 + 0.167591i
\(130\) 52.5346 + 88.2949i 0.404112 + 0.679192i
\(131\) 62.0948 + 107.551i 0.474006 + 0.821003i 0.999557 0.0297594i \(-0.00947411\pi\)
−0.525551 + 0.850762i \(0.676141\pi\)
\(132\) −84.1039 90.0534i −0.637151 0.682223i
\(133\) 160.655 20.4494i 1.20793 0.153755i
\(134\) −34.8280 −0.259911
\(135\) 103.594 86.5641i 0.767361 0.641216i
\(136\) −41.6133 24.0255i −0.305980 0.176658i
\(137\) 56.4241 + 210.578i 0.411855 + 1.53706i 0.791053 + 0.611748i \(0.209533\pi\)
−0.379197 + 0.925316i \(0.623800\pi\)
\(138\) 26.3372 86.3793i 0.190849 0.625937i
\(139\) 59.3797 0.427192 0.213596 0.976922i \(-0.431482\pi\)
0.213596 + 0.976922i \(0.431482\pi\)
\(140\) −55.1560 + 43.1023i −0.393972 + 0.307874i
\(141\) 1.26114 36.9165i 0.00894422 0.261819i
\(142\) −29.4447 + 109.889i −0.207357 + 0.773866i
\(143\) −77.2302 288.227i −0.540071 2.01557i
\(144\) 29.8758 + 20.0857i 0.207471 + 0.139484i
\(145\) −11.5297 + 0.151380i −0.0795152 + 0.00104400i
\(146\) −201.943 −1.38317
\(147\) −124.050 78.8715i −0.843874 0.536541i
\(148\) −58.7383 + 58.7383i −0.396880 + 0.396880i
\(149\) 85.0716 + 147.348i 0.570950 + 0.988915i 0.996469 + 0.0839650i \(0.0267584\pi\)
−0.425519 + 0.904950i \(0.639908\pi\)
\(150\) 106.063 + 0.836946i 0.707085 + 0.00557964i
\(151\) −15.8953 + 27.5315i −0.105267 + 0.182328i −0.913847 0.406058i \(-0.866903\pi\)
0.808580 + 0.588386i \(0.200236\pi\)
\(152\) 16.9366 63.2084i 0.111425 0.415844i
\(153\) −115.241 + 100.484i −0.753207 + 0.656760i
\(154\) 188.159 76.9934i 1.22181 0.499957i
\(155\) 15.5939 + 8.73223i 0.100606 + 0.0563369i
\(156\) 40.9865 + 76.9437i 0.262734 + 0.493229i
\(157\) −71.4356 266.601i −0.455004 1.69810i −0.688076 0.725639i \(-0.741544\pi\)
0.233072 0.972460i \(-0.425122\pi\)
\(158\) −35.9588 + 9.63514i −0.227588 + 0.0609819i
\(159\) −24.6618 + 13.1369i −0.155106 + 0.0826220i
\(160\) 7.67855 + 27.2220i 0.0479910 + 0.170138i
\(161\) 117.816 + 91.2096i 0.731776 + 0.566519i
\(162\) 91.2753 69.2158i 0.563428 0.427258i
\(163\) 288.194 + 77.2215i 1.76806 + 0.473751i 0.988326 0.152355i \(-0.0486856\pi\)
0.779738 + 0.626106i \(0.215352\pi\)
\(164\) 0.0464319 + 0.0268075i 0.000283122 + 0.000163460i
\(165\) −295.811 85.9654i −1.79280 0.521002i
\(166\) 144.985 83.7069i 0.873401 0.504258i
\(167\) −26.5855 26.5855i −0.159195 0.159195i 0.623015 0.782210i \(-0.285907\pi\)
−0.782210 + 0.623015i \(0.785907\pi\)
\(168\) −48.4776 + 34.3209i −0.288557 + 0.204291i
\(169\) 42.1174i 0.249216i
\(170\) −120.117 + 1.57708i −0.706570 + 0.00927697i
\(171\) −172.801 116.175i −1.01053 0.679385i
\(172\) −16.4084 + 4.39662i −0.0953978 + 0.0255618i
\(173\) 118.374 + 31.7182i 0.684243 + 0.183342i 0.584162 0.811637i \(-0.301423\pi\)
0.100081 + 0.994979i \(0.468090\pi\)
\(174\) −9.77842 0.334049i −0.0561978 0.00191982i
\(175\) −63.4024 + 163.111i −0.362300 + 0.932062i
\(176\) 82.1465i 0.466741i
\(177\) −45.5792 13.8972i −0.257510 0.0785152i
\(178\) −62.0741 + 16.6327i −0.348731 + 0.0934422i
\(179\) 130.298 225.682i 0.727921 1.26080i −0.229840 0.973229i \(-0.573820\pi\)
0.957760 0.287567i \(-0.0928465\pi\)
\(180\) 89.8631 + 4.96262i 0.499239 + 0.0275701i
\(181\) 208.629i 1.15265i −0.817221 0.576325i \(-0.804486\pi\)
0.817221 0.576325i \(-0.195514\pi\)
\(182\) −142.687 + 18.1624i −0.783996 + 0.0997932i
\(183\) 106.293 99.2703i 0.580834 0.542461i
\(184\) 52.1377 30.1017i 0.283357 0.163596i
\(185\) −51.1111 + 201.283i −0.276276 + 1.08802i
\(186\) 12.8669 + 8.02660i 0.0691771 + 0.0431537i
\(187\) 336.999 + 90.2987i 1.80214 + 0.482881i
\(188\) 17.4128 17.4128i 0.0926211 0.0926211i
\(189\) 53.3130 + 181.325i 0.282079 + 0.959391i
\(190\) −44.4125 157.451i −0.233750 0.828691i
\(191\) −79.0834 + 45.6588i −0.414049 + 0.239051i −0.692528 0.721391i \(-0.743503\pi\)
0.278479 + 0.960442i \(0.410170\pi\)
\(192\) 5.41655 + 23.3808i 0.0282112 + 0.121775i
\(193\) 34.6802 + 129.428i 0.179690 + 0.670612i 0.995705 + 0.0925816i \(0.0295119\pi\)
−0.816015 + 0.578031i \(0.803821\pi\)
\(194\) 146.483 84.5722i 0.755069 0.435939i
\(195\) 186.417 + 112.917i 0.955982 + 0.579062i
\(196\) −24.5507 94.8750i −0.125258 0.484056i
\(197\) 202.633 202.633i 1.02860 1.02860i 0.0290171 0.999579i \(-0.490762\pi\)
0.999579 0.0290171i \(-0.00923772\pi\)
\(198\) −247.276 84.7249i −1.24887 0.427904i
\(199\) 16.7094 28.9416i 0.0839670 0.145435i −0.820984 0.570952i \(-0.806574\pi\)
0.904951 + 0.425517i \(0.139908\pi\)
\(200\) 51.2955 + 48.6700i 0.256477 + 0.243350i
\(201\) −65.2071 + 34.7347i −0.324413 + 0.172809i
\(202\) −156.056 + 156.056i −0.772554 + 0.772554i
\(203\) 6.24161 14.8875i 0.0307469 0.0733375i
\(204\) −101.872 3.48013i −0.499372 0.0170595i
\(205\) 0.134026 0.00175970i 0.000653785 8.58392e-6i
\(206\) 63.2454 109.544i 0.307016 0.531768i
\(207\) −36.8376 187.991i −0.177959 0.908169i
\(208\) −15.0424 + 56.1391i −0.0723194 + 0.269900i
\(209\) 475.132i 2.27336i
\(210\) −60.2796 + 135.707i −0.287046 + 0.646223i
\(211\) −163.964 −0.777081 −0.388541 0.921432i \(-0.627021\pi\)
−0.388541 + 0.921432i \(0.627021\pi\)
\(212\) −17.9936 4.82136i −0.0848754 0.0227423i
\(213\) 54.4663 + 235.106i 0.255711 + 1.10379i
\(214\) 59.0117 + 34.0704i 0.275756 + 0.159208i
\(215\) −29.6327 + 30.4211i −0.137826 + 0.141494i
\(216\) 75.9671 + 7.80984i 0.351700 + 0.0361567i
\(217\) −19.9160 + 15.1467i −0.0917787 + 0.0698004i
\(218\) −37.5951 37.5951i −0.172455 0.172455i
\(219\) −378.090 + 201.402i −1.72644 + 0.919643i
\(220\) −105.009 176.489i −0.477314 0.802222i
\(221\) −213.771 123.421i −0.967291 0.558465i
\(222\) −51.3925 + 168.554i −0.231498 + 0.759253i
\(223\) −158.312 158.312i −0.709919 0.709919i 0.256599 0.966518i \(-0.417398\pi\)
−0.966518 + 0.256599i \(0.917398\pi\)
\(224\) −39.2367 5.33705i −0.175164 0.0238261i
\(225\) 199.412 104.211i 0.886274 0.463162i
\(226\) 50.8023 + 87.9921i 0.224789 + 0.389346i
\(227\) −367.930 + 98.5866i −1.62084 + 0.434302i −0.951247 0.308429i \(-0.900197\pi\)
−0.669590 + 0.742731i \(0.733530\pi\)
\(228\) −31.3291 135.234i −0.137409 0.593130i
\(229\) −35.2818 61.1098i −0.154069 0.266855i 0.778651 0.627458i \(-0.215904\pi\)
−0.932720 + 0.360603i \(0.882571\pi\)
\(230\) 73.5366 131.321i 0.319724 0.570961i
\(231\) 275.495 331.806i 1.19262 1.43639i
\(232\) −4.61228 4.61228i −0.0198805 0.0198805i
\(233\) 91.0726 339.887i 0.390869 1.45874i −0.437834 0.899056i \(-0.644254\pi\)
0.828703 0.559689i \(-0.189079\pi\)
\(234\) 153.475 + 103.182i 0.655875 + 0.440948i
\(235\) 15.1517 59.6698i 0.0644754 0.253914i
\(236\) −15.8836 27.5112i −0.0673034 0.116573i
\(237\) −57.7150 + 53.9019i −0.243523 + 0.227434i
\(238\) 65.0254 155.099i 0.273216 0.651675i
\(239\) −254.464 −1.06470 −0.532351 0.846524i \(-0.678691\pi\)
−0.532351 + 0.846524i \(0.678691\pi\)
\(240\) 41.5253 + 43.3088i 0.173022 + 0.180453i
\(241\) 237.059 + 136.866i 0.983646 + 0.567908i 0.903369 0.428864i \(-0.141086\pi\)
0.0802771 + 0.996773i \(0.474419\pi\)
\(242\) 110.083 + 410.836i 0.454889 + 1.69767i
\(243\) 101.861 220.620i 0.419180 0.907903i
\(244\) 96.9599 0.397376
\(245\) −174.027 172.452i −0.710312 0.703887i
\(246\) 0.113668 + 0.00388311i 0.000462066 + 1.57850e-5i
\(247\) 87.0050 324.707i 0.352247 1.31460i
\(248\) 2.61670 + 9.76566i 0.0105512 + 0.0393777i
\(249\) 187.966 301.317i 0.754885 1.21011i
\(250\) 172.422 + 38.9941i 0.689689 + 0.155976i
\(251\) −191.024 −0.761051 −0.380525 0.924770i \(-0.624257\pi\)
−0.380525 + 0.924770i \(0.624257\pi\)
\(252\) −56.5338 + 112.605i −0.224340 + 0.446846i
\(253\) −309.094 + 309.094i −1.22171 + 1.22171i
\(254\) 116.547 + 201.865i 0.458845 + 0.794743i
\(255\) −223.317 + 122.748i −0.875753 + 0.481363i
\(256\) −8.00000 + 13.8564i −0.0312500 + 0.0541266i
\(257\) −52.7967 + 197.040i −0.205435 + 0.766693i 0.783882 + 0.620910i \(0.213237\pi\)
−0.989317 + 0.145783i \(0.953430\pi\)
\(258\) −26.3360 + 24.5960i −0.102077 + 0.0953335i
\(259\) −229.897 177.980i −0.887635 0.687180i
\(260\) 39.4454 + 139.842i 0.151713 + 0.537854i
\(261\) −18.6409 + 9.12678i −0.0714210 + 0.0349685i
\(262\) 45.4566 + 169.646i 0.173498 + 0.647504i
\(263\) −304.514 + 81.5944i −1.15785 + 0.310245i −0.786106 0.618091i \(-0.787906\pi\)
−0.371743 + 0.928336i \(0.621240\pi\)
\(264\) −81.9262 153.799i −0.310327 0.582574i
\(265\) −44.8218 + 12.6429i −0.169139 + 0.0477092i
\(266\) 226.944 + 30.8693i 0.853171 + 0.116050i
\(267\) −99.6307 + 93.0484i −0.373149 + 0.348496i
\(268\) −47.5760 12.7479i −0.177522 0.0475670i
\(269\) 135.013 + 77.9500i 0.501908 + 0.289777i 0.729501 0.683980i \(-0.239752\pi\)
−0.227593 + 0.973756i \(0.573086\pi\)
\(270\) 173.196 80.3308i 0.641468 0.297522i
\(271\) −348.826 + 201.395i −1.28718 + 0.743154i −0.978150 0.207899i \(-0.933337\pi\)
−0.309029 + 0.951052i \(0.600004\pi\)
\(272\) −48.0509 48.0509i −0.176658 0.176658i
\(273\) −249.034 + 176.309i −0.912212 + 0.645822i
\(274\) 308.307i 1.12521i
\(275\) −451.217 244.946i −1.64079 0.890711i
\(276\) 67.5943 108.356i 0.244907 0.392595i
\(277\) 262.303 70.2839i 0.946942 0.253732i 0.247878 0.968791i \(-0.420267\pi\)
0.699064 + 0.715059i \(0.253600\pi\)
\(278\) 81.1142 + 21.7345i 0.291778 + 0.0781816i
\(279\) 32.0953 + 2.19543i 0.115037 + 0.00786893i
\(280\) −91.1211 + 38.6904i −0.325432 + 0.138180i
\(281\) 337.916i 1.20255i −0.799043 0.601273i \(-0.794660\pi\)
0.799043 0.601273i \(-0.205340\pi\)
\(282\) 15.2351 49.9673i 0.0540253 0.177189i
\(283\) 52.1704 13.9790i 0.184348 0.0493958i −0.165464 0.986216i \(-0.552912\pi\)
0.349812 + 0.936820i \(0.386246\pi\)
\(284\) −80.4443 + 139.334i −0.283255 + 0.490611i
\(285\) −240.181 250.496i −0.842740 0.878935i
\(286\) 421.994i 1.47550i
\(287\) −0.0725550 + 0.173058i −0.000252805 + 0.000602991i
\(288\) 33.4593 + 38.3729i 0.116178 + 0.133239i
\(289\) −0.336749 + 0.194422i −0.00116522 + 0.000672741i
\(290\) −15.8053 4.01338i −0.0545010 0.0138392i
\(291\) 189.909 304.432i 0.652609 1.04616i
\(292\) −275.860 73.9164i −0.944725 0.253138i
\(293\) −169.435 + 169.435i −0.578275 + 0.578275i −0.934428 0.356152i \(-0.884088\pi\)
0.356152 + 0.934428i \(0.384088\pi\)
\(294\) −140.586 153.146i −0.478183 0.520904i
\(295\) −69.2934 38.8026i −0.234893 0.131534i
\(296\) −101.738 + 58.7383i −0.343708 + 0.198440i
\(297\) −547.463 + 87.9864i −1.84331 + 0.296250i
\(298\) 62.2767 + 232.420i 0.208982 + 0.779932i
\(299\) 267.836 154.635i 0.895773 0.517175i
\(300\) 144.578 + 39.9649i 0.481927 + 0.133216i
\(301\) −22.5166 55.0268i −0.0748059 0.182813i
\(302\) −31.7906 + 31.7906i −0.105267 + 0.105267i
\(303\) −136.540 + 447.815i −0.450626 + 1.47794i
\(304\) 46.2717 80.1450i 0.152210 0.263635i
\(305\) 208.315 123.945i 0.683000 0.406378i
\(306\) −194.201 + 95.0831i −0.634645 + 0.310729i
\(307\) −67.5728 + 67.5728i −0.220107 + 0.220107i −0.808543 0.588437i \(-0.799744\pi\)
0.588437 + 0.808543i \(0.299744\pi\)
\(308\) 285.211 36.3040i 0.926011 0.117870i
\(309\) 9.16121 268.171i 0.0296479 0.867867i
\(310\) 18.1055 + 17.6362i 0.0584048 + 0.0568910i
\(311\) 254.040 440.010i 0.816848 1.41482i −0.0911453 0.995838i \(-0.529053\pi\)
0.907993 0.418985i \(-0.137614\pi\)
\(312\) 27.8253 + 120.109i 0.0891837 + 0.384965i
\(313\) 43.7645 163.331i 0.139823 0.521825i −0.860109 0.510111i \(-0.829604\pi\)
0.999931 0.0117143i \(-0.00372886\pi\)
\(314\) 390.332i 1.24309i
\(315\) 22.4841 + 314.197i 0.0713781 + 0.997449i
\(316\) −52.6474 −0.166606
\(317\) 440.523 + 118.038i 1.38966 + 0.372359i 0.874621 0.484806i \(-0.161110\pi\)
0.515041 + 0.857165i \(0.327777\pi\)
\(318\) −38.4971 + 8.91849i −0.121060 + 0.0280456i
\(319\) 41.0152 + 23.6802i 0.128574 + 0.0742324i
\(320\) 0.525138 + 39.9966i 0.00164106 + 0.124989i
\(321\) 144.464 + 4.93516i 0.450045 + 0.0153743i
\(322\) 127.555 + 167.718i 0.396132 + 0.520864i
\(323\) 277.925 + 277.925i 0.860448 + 0.860448i
\(324\) 150.019 61.1414i 0.463022 0.188708i
\(325\) 263.510 + 250.022i 0.810798 + 0.769299i
\(326\) 365.416 + 210.973i 1.12091 + 0.647156i
\(327\) −107.882 32.8935i −0.329915 0.100592i
\(328\) 0.0536150 + 0.0536150i 0.000163460 + 0.000163460i
\(329\) 68.1523 + 52.7614i 0.207150 + 0.160369i
\(330\) −372.620 225.705i −1.12915 0.683956i
\(331\) 7.43125 + 12.8713i 0.0224509 + 0.0388861i 0.877033 0.480431i \(-0.159520\pi\)
−0.854582 + 0.519317i \(0.826186\pi\)
\(332\) 228.692 61.2777i 0.688830 0.184571i
\(333\) 71.8822 + 366.832i 0.215862 + 1.10160i
\(334\) −26.5855 46.0474i −0.0795973 0.137867i
\(335\) −118.511 + 33.4286i −0.353765 + 0.0997869i
\(336\) −78.7840 + 29.1391i −0.234476 + 0.0867236i
\(337\) −296.408 296.408i −0.879550 0.879550i 0.113938 0.993488i \(-0.463654\pi\)
−0.993488 + 0.113938i \(0.963654\pi\)
\(338\) −15.4161 + 57.5335i −0.0456096 + 0.170217i
\(339\) 182.871 + 114.078i 0.539443 + 0.336513i
\(340\) −164.660 41.8115i −0.484294 0.122975i
\(341\) −36.7038 63.5729i −0.107636 0.186431i
\(342\) −193.527 221.947i −0.565870 0.648969i
\(343\) 318.555 127.169i 0.928731 0.370754i
\(344\) −24.0236 −0.0698360
\(345\) 6.71062 319.206i 0.0194511 0.925236i
\(346\) 150.092 + 86.6558i 0.433793 + 0.250450i
\(347\) −3.82705 14.2827i −0.0110290 0.0411606i 0.960192 0.279341i \(-0.0901159\pi\)
−0.971221 + 0.238180i \(0.923449\pi\)
\(348\) −13.2353 4.03547i −0.0380325 0.0115962i
\(349\) −18.2453 −0.0522787 −0.0261393 0.999658i \(-0.508321\pi\)
−0.0261393 + 0.999658i \(0.508321\pi\)
\(350\) −146.312 + 199.607i −0.418034 + 0.570304i
\(351\) 390.250 + 40.1198i 1.11182 + 0.114302i
\(352\) 30.0677 112.214i 0.0854196 0.318790i
\(353\) −64.9344 242.338i −0.183950 0.686511i −0.994853 0.101330i \(-0.967690\pi\)
0.810903 0.585181i \(-0.198977\pi\)
\(354\) −57.1756 35.6671i −0.161513 0.100754i
\(355\) 5.28055 + 402.187i 0.0148748 + 1.13292i
\(356\) −90.8828 −0.255289
\(357\) −32.9385 355.236i −0.0922647 0.995059i
\(358\) 260.596 260.596i 0.727921 0.727921i
\(359\) 193.329 + 334.856i 0.538522 + 0.932747i 0.998984 + 0.0450678i \(0.0143504\pi\)
−0.460462 + 0.887679i \(0.652316\pi\)
\(360\) 120.939 + 39.6712i 0.335941 + 0.110198i
\(361\) −87.1341 + 150.921i −0.241369 + 0.418063i
\(362\) 76.3637 284.993i 0.210949 0.787274i
\(363\) 615.838 + 659.403i 1.69652 + 1.81654i
\(364\) −201.562 27.4169i −0.553742 0.0753212i
\(365\) −687.164 + 193.829i −1.88264 + 0.531038i
\(366\) 181.534 96.6999i 0.495994 0.264207i
\(367\) 87.0699 + 324.949i 0.237248 + 0.885420i 0.977123 + 0.212676i \(0.0682179\pi\)
−0.739875 + 0.672744i \(0.765115\pi\)
\(368\) 82.2394 22.0360i 0.223477 0.0598804i
\(369\) 0.216689 0.106093i 0.000587233 0.000287516i
\(370\) −143.494 + 256.250i −0.387821 + 0.692568i
\(371\) 8.78759 64.6042i 0.0236862 0.174135i
\(372\) 14.6386 + 15.6742i 0.0393511 + 0.0421348i
\(373\) −311.170 83.3778i −0.834236 0.223533i −0.183675 0.982987i \(-0.558799\pi\)
−0.650561 + 0.759454i \(0.725466\pi\)
\(374\) 427.298 + 246.701i 1.14251 + 0.659628i
\(375\) 361.709 98.9531i 0.964557 0.263875i
\(376\) 30.1598 17.4128i 0.0802122 0.0463105i
\(377\) −23.6937 23.6937i −0.0628480 0.0628480i
\(378\) 6.45740 + 267.208i 0.0170831 + 0.706900i
\(379\) 55.5302i 0.146518i 0.997313 + 0.0732589i \(0.0233399\pi\)
−0.997313 + 0.0732589i \(0.976660\pi\)
\(380\) −3.03738 231.339i −0.00799310 0.608786i
\(381\) 419.529 + 261.709i 1.10113 + 0.686900i
\(382\) −124.742 + 33.4246i −0.326550 + 0.0874988i
\(383\) 91.7762 + 24.5913i 0.239624 + 0.0642072i 0.376632 0.926363i \(-0.377082\pi\)
−0.137008 + 0.990570i \(0.543749\pi\)
\(384\) −1.15881 + 33.9213i −0.00301775 + 0.0883368i
\(385\) 566.359 442.588i 1.47106 1.14958i
\(386\) 189.496i 0.490922i
\(387\) −24.7777 + 72.3156i −0.0640250 + 0.186862i
\(388\) 231.055 61.9111i 0.595504 0.159565i
\(389\) −53.5232 + 92.7050i −0.137592 + 0.238316i −0.926585 0.376086i \(-0.877270\pi\)
0.788993 + 0.614403i \(0.210603\pi\)
\(390\) 213.319 + 222.481i 0.546972 + 0.570464i
\(391\) 361.604i 0.924818i
\(392\) 1.18984 138.588i 0.00303531 0.353540i
\(393\) 254.298 + 272.287i 0.647068 + 0.692842i
\(394\) 350.971 202.633i 0.890790 0.514298i
\(395\) −113.111 + 67.3000i −0.286357 + 0.170380i
\(396\) −306.774 206.246i −0.774683 0.520823i
\(397\) −352.714 94.5094i −0.888449 0.238059i −0.214400 0.976746i \(-0.568780\pi\)
−0.674049 + 0.738687i \(0.735446\pi\)
\(398\) 33.4189 33.4189i 0.0839670 0.0839670i
\(399\) 455.684 168.540i 1.14206 0.422405i
\(400\) 52.2565 + 85.2600i 0.130641 + 0.213150i
\(401\) 292.445 168.843i 0.729289 0.421055i −0.0888730 0.996043i \(-0.528327\pi\)
0.818162 + 0.574988i \(0.194993\pi\)
\(402\) −101.788 + 23.5810i −0.253205 + 0.0586591i
\(403\) 13.4422 + 50.1671i 0.0333554 + 0.124484i
\(404\) −270.297 + 156.056i −0.669051 + 0.386277i
\(405\) 244.153 323.132i 0.602847 0.797857i
\(406\) 13.9754 18.0521i 0.0344222 0.0444634i
\(407\) 603.143 603.143i 1.48192 1.48192i
\(408\) −137.886 42.0417i −0.337955 0.103043i
\(409\) −82.5496 + 142.980i −0.201833 + 0.349585i −0.949119 0.314918i \(-0.898023\pi\)
0.747286 + 0.664502i \(0.231356\pi\)
\(410\) 0.183727 + 0.0466531i 0.000448114 + 0.000113788i
\(411\) 307.481 + 577.231i 0.748128 + 1.40446i
\(412\) 126.491 126.491i 0.307016 0.307016i
\(413\) 88.4988 67.3060i 0.214283 0.162968i
\(414\) 18.4884 270.284i 0.0446579 0.652860i
\(415\) 413.004 423.993i 0.995190 1.02167i
\(416\) −41.0967 + 71.1816i −0.0987902 + 0.171110i
\(417\) 173.543 40.2041i 0.416170 0.0964128i
\(418\) −173.910 + 649.043i −0.416054 + 1.55273i
\(419\) 190.349i 0.454294i 0.973860 + 0.227147i \(0.0729398\pi\)
−0.973860 + 0.227147i \(0.927060\pi\)
\(420\) −132.016 + 163.315i −0.314323 + 0.388846i
\(421\) 455.861 1.08280 0.541402 0.840764i \(-0.317894\pi\)
0.541402 + 0.840764i \(0.317894\pi\)
\(422\) −223.979 60.0150i −0.530756 0.142216i
\(423\) −21.3092 108.746i −0.0503764 0.257083i
\(424\) −22.8149 13.1722i −0.0538088 0.0310665i
\(425\) −407.215 + 120.657i −0.958152 + 0.283899i
\(426\) −11.6525 + 341.097i −0.0273533 + 0.800698i
\(427\) 42.8506 + 336.643i 0.100353 + 0.788392i
\(428\) 68.1408 + 68.1408i 0.159208 + 0.159208i
\(429\) −420.862 790.081i −0.981031 1.84168i
\(430\) −51.6139 + 30.7097i −0.120032 + 0.0714180i
\(431\) −632.551 365.204i −1.46764 0.847340i −0.468293 0.883573i \(-0.655131\pi\)
−0.999343 + 0.0362332i \(0.988464\pi\)
\(432\) 100.914 + 38.4743i 0.233598 + 0.0890610i
\(433\) −457.462 457.462i −1.05649 1.05649i −0.998306 0.0581890i \(-0.981467\pi\)
−0.0581890 0.998306i \(-0.518533\pi\)
\(434\) −32.7498 + 13.4010i −0.0754604 + 0.0308779i
\(435\) −33.5942 + 8.24883i −0.0772280 + 0.0189628i
\(436\) −37.5951 65.1167i −0.0862274 0.149350i
\(437\) −475.670 + 127.455i −1.08849 + 0.291660i
\(438\) −590.199 + 136.730i −1.34749 + 0.312168i
\(439\) −66.0824 114.458i −0.150529 0.260724i 0.780893 0.624665i \(-0.214764\pi\)
−0.931422 + 0.363941i \(0.881431\pi\)
\(440\) −78.8457 279.524i −0.179195 0.635283i
\(441\) −415.948 146.520i −0.943193 0.332244i
\(442\) −246.842 246.842i −0.558465 0.558465i
\(443\) −133.862 + 499.578i −0.302171 + 1.12772i 0.633183 + 0.774002i \(0.281748\pi\)
−0.935354 + 0.353714i \(0.884919\pi\)
\(444\) −131.898 + 211.438i −0.297069 + 0.476212i
\(445\) −195.259 + 116.177i −0.438783 + 0.261072i
\(446\) −158.312 274.204i −0.354959 0.614808i
\(447\) 348.395 + 373.040i 0.779407 + 0.834542i
\(448\) −51.6448 21.6522i −0.115279 0.0483307i
\(449\) 69.6440 0.155109 0.0775546 0.996988i \(-0.475289\pi\)
0.0775546 + 0.996988i \(0.475289\pi\)
\(450\) 310.545 69.3657i 0.690101 0.154146i
\(451\) −0.476777 0.275268i −0.00105716 0.000610349i
\(452\) 37.1899 + 138.794i 0.0822784 + 0.307067i
\(453\) −27.8149 + 91.2256i −0.0614015 + 0.201381i
\(454\) −538.687 −1.18654
\(455\) −468.097 + 198.756i −1.02878 + 0.436826i
\(456\) 6.70254 196.200i 0.0146986 0.430263i
\(457\) −15.1658 + 56.5997i −0.0331857 + 0.123851i −0.980532 0.196361i \(-0.937087\pi\)
0.947346 + 0.320212i \(0.103754\pi\)
\(458\) −25.8280 96.3916i −0.0563931 0.210462i
\(459\) −268.767 + 371.701i −0.585550 + 0.809806i
\(460\) 148.520 152.472i 0.322869 0.331460i
\(461\) 479.196 1.03947 0.519735 0.854327i \(-0.326031\pi\)
0.519735 + 0.854327i \(0.326031\pi\)
\(462\) 497.783 352.417i 1.07745 0.762808i
\(463\) −43.4920 + 43.4920i −0.0939351 + 0.0939351i −0.752513 0.658578i \(-0.771158\pi\)
0.658578 + 0.752513i \(0.271158\pi\)
\(464\) −4.61228 7.98870i −0.00994026 0.0172170i
\(465\) 51.4871 + 14.9626i 0.110725 + 0.0321777i
\(466\) 248.815 430.960i 0.533938 0.924807i
\(467\) −96.9891 + 361.968i −0.207686 + 0.775093i 0.780929 + 0.624620i \(0.214746\pi\)
−0.988614 + 0.150473i \(0.951920\pi\)
\(468\) 171.883 + 197.125i 0.367272 + 0.421207i
\(469\) 23.2349 170.817i 0.0495413 0.364215i
\(470\) 42.5383 75.9645i 0.0905070 0.161627i
\(471\) −389.285 730.802i −0.826508 1.55160i
\(472\) −11.6276 43.3948i −0.0246347 0.0919381i
\(473\) 168.487 45.1459i 0.356209 0.0954458i
\(474\) −98.5696 + 52.5063i −0.207953 + 0.110773i
\(475\) −302.250 493.141i −0.636315 1.03819i
\(476\) 145.596 188.068i 0.305875 0.395100i
\(477\) −63.1819 + 55.0916i −0.132457 + 0.115496i
\(478\) −347.604 93.1402i −0.727205 0.194854i
\(479\) −95.9666 55.4064i −0.200348 0.115671i 0.396470 0.918048i \(-0.370235\pi\)
−0.596818 + 0.802377i \(0.703568\pi\)
\(480\) 40.8725 + 74.3602i 0.0851511 + 0.154917i
\(481\) −522.635 + 301.744i −1.08656 + 0.627326i
\(482\) 273.732 + 273.732i 0.567908 + 0.567908i
\(483\) 406.084 + 186.799i 0.840753 + 0.386748i
\(484\) 601.505i 1.24278i
\(485\) 417.273 428.376i 0.860357 0.883249i
\(486\) 219.897 264.090i 0.452463 0.543394i
\(487\) −542.192 + 145.280i −1.11333 + 0.298316i −0.768181 0.640232i \(-0.778838\pi\)
−0.345148 + 0.938548i \(0.612171\pi\)
\(488\) 132.450 + 35.4898i 0.271413 + 0.0727249i
\(489\) 894.561 + 30.5598i 1.82937 + 0.0624945i
\(490\) −174.603 299.272i −0.356332 0.610760i
\(491\) 903.210i 1.83953i 0.392468 + 0.919765i \(0.371621\pi\)
−0.392468 + 0.919765i \(0.628379\pi\)
\(492\) 0.153852 + 0.0469099i 0.000312708 + 9.53453e-5i
\(493\) 37.8430 10.1400i 0.0767607 0.0205680i
\(494\) 237.702 411.712i 0.481178 0.833425i
\(495\) −922.742 50.9577i −1.86412 0.102945i
\(496\) 14.2979i 0.0288264i
\(497\) −519.316 217.724i −1.04490 0.438077i
\(498\) 367.056 342.806i 0.737061 0.688366i
\(499\) −569.357 + 328.719i −1.14100 + 0.658755i −0.946677 0.322184i \(-0.895583\pi\)
−0.194319 + 0.980938i \(0.562250\pi\)
\(500\) 221.260 + 116.378i 0.442521 + 0.232756i
\(501\) −95.6989 59.6985i −0.191016 0.119159i
\(502\) −260.943 69.9195i −0.519807 0.139282i
\(503\) 575.210 575.210i 1.14356 1.14356i 0.155763 0.987794i \(-0.450216\pi\)
0.987794 0.155763i \(-0.0497838\pi\)
\(504\) −118.443 + 133.129i −0.235006 + 0.264144i
\(505\) −381.235 + 680.806i −0.754920 + 1.34813i
\(506\) −535.366 + 309.094i −1.05804 + 0.610857i
\(507\) 28.5164 + 123.092i 0.0562454 + 0.242786i
\(508\) 85.3181 + 318.411i 0.167949 + 0.626794i
\(509\) −101.767 + 58.7554i −0.199936 + 0.115433i −0.596626 0.802520i \(-0.703492\pi\)
0.396690 + 0.917953i \(0.370159\pi\)
\(510\) −349.986 + 85.9366i −0.686246 + 0.168503i
\(511\) 134.723 990.448i 0.263645 1.93825i
\(512\) −16.0000 + 16.0000i −0.0312500 + 0.0312500i
\(513\) −583.686 222.534i −1.13779 0.433790i
\(514\) −144.243 + 249.837i −0.280629 + 0.486064i
\(515\) 110.066 433.456i 0.213720 0.841663i
\(516\) −44.9784 + 23.9592i −0.0871674 + 0.0464325i
\(517\) −178.800 + 178.800i −0.345841 + 0.345841i
\(518\) −248.901 327.273i −0.480503 0.631801i
\(519\) 367.435 + 12.5523i 0.707968 + 0.0241855i
\(520\) 2.69768 + 205.466i 0.00518785 + 0.395127i
\(521\) 30.0102 51.9791i 0.0576011 0.0997680i −0.835787 0.549054i \(-0.814988\pi\)
0.893388 + 0.449286i \(0.148322\pi\)
\(522\) −28.8046 + 5.64437i −0.0551811 + 0.0108130i
\(523\) 61.1814 228.332i 0.116982 0.436582i −0.882446 0.470414i \(-0.844105\pi\)
0.999428 + 0.0338324i \(0.0107712\pi\)
\(524\) 248.379i 0.474006i
\(525\) −74.8626 + 519.635i −0.142595 + 0.989781i
\(526\) −445.840 −0.847604
\(527\) −58.6561 15.7169i −0.111302 0.0298232i
\(528\) −55.6188 240.081i −0.105339 0.454699i
\(529\) 65.7686 + 37.9715i 0.124326 + 0.0717798i
\(530\) −65.8554 + 0.864653i −0.124255 + 0.00163142i
\(531\) −142.619 9.75564i −0.268586 0.0183722i
\(532\) 298.712 + 125.235i 0.561488 + 0.235405i
\(533\) 0.275425 + 0.275425i 0.000516745 + 0.000516745i
\(534\) −170.156 + 90.6392i −0.318644 + 0.169736i
\(535\) 233.504 + 59.2928i 0.436456 + 0.110828i
\(536\) −60.3239 34.8280i −0.112545 0.0649777i
\(537\) 228.006 747.800i 0.424591 1.39255i
\(538\) 155.900 + 155.900i 0.289777 + 0.289777i
\(539\) 252.094 + 974.206i 0.467706 + 1.80743i
\(540\) 265.994 46.3397i 0.492581 0.0858143i
\(541\) −211.663 366.611i −0.391244 0.677655i 0.601370 0.798971i \(-0.294622\pi\)
−0.992614 + 0.121316i \(0.961289\pi\)
\(542\) −550.220 + 147.431i −1.01517 + 0.272013i
\(543\) −141.257 609.740i −0.260141 1.12291i
\(544\) −48.0509 83.2266i −0.0883289 0.152990i
\(545\) −164.012 91.8425i −0.300939 0.168518i
\(546\) −404.720 + 149.690i −0.741246 + 0.274158i
\(547\) 459.383 + 459.383i 0.839823 + 0.839823i 0.988835 0.149013i \(-0.0476095\pi\)
−0.149013 + 0.988835i \(0.547610\pi\)
\(548\) −112.848 + 421.156i −0.205928 + 0.768532i
\(549\) 243.438 362.095i 0.443421 0.659553i
\(550\) −526.718 499.759i −0.957669 0.908652i
\(551\) 26.6773 + 46.2064i 0.0484161 + 0.0838591i
\(552\) 131.997 123.276i 0.239124 0.223326i
\(553\) −23.2671 182.791i −0.0420743 0.330544i
\(554\) 384.038 0.693210
\(555\) −13.0946 + 622.876i −0.0235939 + 1.12230i
\(556\) 102.849 + 59.3797i 0.184980 + 0.106798i
\(557\) 168.106 + 627.381i 0.301806 + 1.12636i 0.935660 + 0.352904i \(0.114806\pi\)
−0.633853 + 0.773453i \(0.718528\pi\)
\(558\) 43.0394 + 14.7467i 0.0771316 + 0.0264278i
\(559\) −123.411 −0.220772
\(560\) −138.635 + 19.4994i −0.247563 + 0.0348204i
\(561\) 1046.05 + 35.7350i 1.86462 + 0.0636988i
\(562\) 123.686 461.601i 0.220081 0.821355i
\(563\) −91.3244 340.827i −0.162210 0.605377i −0.998380 0.0569055i \(-0.981877\pi\)
0.836169 0.548471i \(-0.184790\pi\)
\(564\) 39.1009 62.6801i 0.0693278 0.111135i
\(565\) 257.324 + 250.655i 0.455441 + 0.443637i
\(566\) 76.3827 0.134952
\(567\) 278.582 + 493.843i 0.491326 + 0.870976i
\(568\) −160.889 + 160.889i −0.283255 + 0.283255i
\(569\) −395.579 685.164i −0.695219 1.20415i −0.970107 0.242678i \(-0.921974\pi\)
0.274888 0.961476i \(-0.411359\pi\)
\(570\) −236.405 430.097i −0.414746 0.754556i
\(571\) −292.476 + 506.583i −0.512216 + 0.887185i 0.487683 + 0.873021i \(0.337842\pi\)
−0.999900 + 0.0141642i \(0.995491\pi\)
\(572\) 154.460 576.454i 0.270036 1.00779i
\(573\) −200.215 + 186.987i −0.349415 + 0.326330i
\(574\) −0.162456 + 0.209845i −0.000283024 + 0.000365584i
\(575\) 124.183 517.435i 0.215970 0.899887i
\(576\) 31.6608 + 64.6652i 0.0549667 + 0.112266i
\(577\) −81.0131 302.345i −0.140404 0.523995i −0.999917 0.0128809i \(-0.995900\pi\)
0.859513 0.511114i \(-0.170767\pi\)
\(578\) −0.531171 + 0.142327i −0.000918982 + 0.000246240i
\(579\) 188.988 + 354.786i 0.326404 + 0.612756i
\(580\) −20.1214 11.2675i −0.0346921 0.0194267i
\(581\) 313.824 + 766.933i 0.540144 + 1.32002i
\(582\) 370.851 346.350i 0.637200 0.595103i
\(583\) 184.764 + 49.5072i 0.316919 + 0.0849181i
\(584\) −349.776 201.943i −0.598932 0.345793i
\(585\) 621.273 + 203.795i 1.06201 + 0.348367i
\(586\) −293.469 + 169.435i −0.500801 + 0.289138i
\(587\) 236.641 + 236.641i 0.403136 + 0.403136i 0.879337 0.476201i \(-0.157986\pi\)
−0.476201 + 0.879337i \(0.657986\pi\)
\(588\) −135.989 260.659i −0.231273 0.443298i
\(589\) 82.6987i 0.140405i
\(590\) −80.4538 78.3685i −0.136362 0.132828i
\(591\) 455.019 729.413i 0.769914 1.23420i
\(592\) −160.476 + 42.9994i −0.271074 + 0.0726341i
\(593\) −739.912 198.259i −1.24774 0.334332i −0.426280 0.904591i \(-0.640176\pi\)
−0.821465 + 0.570259i \(0.806843\pi\)
\(594\) −780.054 80.1938i −1.31322 0.135006i
\(595\) 72.3988 590.175i 0.121679 0.991892i
\(596\) 340.286i 0.570950i
\(597\) 29.2395 95.8981i 0.0489774 0.160633i
\(598\) 422.471 113.201i 0.706474 0.189299i
\(599\) 353.328 611.982i 0.589863 1.02167i −0.404387 0.914588i \(-0.632515\pi\)
0.994250 0.107085i \(-0.0341516\pi\)
\(600\) 182.869 + 107.512i 0.304782 + 0.179187i
\(601\) 736.670i 1.22574i 0.790184 + 0.612870i \(0.209985\pi\)
−0.790184 + 0.612870i \(0.790015\pi\)
\(602\) −10.6170 83.4096i −0.0176363 0.138554i
\(603\) −167.056 + 145.665i −0.277042 + 0.241567i
\(604\) −55.0629 + 31.7906i −0.0911638 + 0.0526334i
\(605\) 768.914 + 1292.31i 1.27093 + 2.13605i
\(606\) −350.428 + 561.749i −0.578264 + 0.926979i
\(607\) 136.772 + 36.6480i 0.225325 + 0.0603757i 0.369715 0.929145i \(-0.379455\pi\)
−0.144390 + 0.989521i \(0.546122\pi\)
\(608\) 92.5434 92.5434i 0.152210 0.152210i
\(609\) 8.16186 47.7362i 0.0134021 0.0783846i
\(610\) 329.931 93.0639i 0.540870 0.152564i
\(611\) 154.934 89.4509i 0.253574 0.146401i
\(612\) −300.087 + 58.8033i −0.490338 + 0.0960838i
\(613\) −58.7148 219.126i −0.0957826 0.357466i 0.901354 0.433082i \(-0.142574\pi\)
−0.997137 + 0.0756168i \(0.975907\pi\)
\(614\) −117.040 + 67.5728i −0.190618 + 0.110053i
\(615\) 0.390512 0.0958877i 0.000634979 0.000155915i
\(616\) 402.894 + 54.8025i 0.654049 + 0.0889650i
\(617\) 89.4983 89.4983i 0.145054 0.145054i −0.630850 0.775904i \(-0.717294\pi\)
0.775904 + 0.630850i \(0.217294\pi\)
\(618\) 110.672 362.975i 0.179081 0.587339i
\(619\) 187.806 325.289i 0.303402 0.525508i −0.673502 0.739185i \(-0.735211\pi\)
0.976904 + 0.213677i \(0.0685441\pi\)
\(620\) 18.2773 + 30.7186i 0.0294794 + 0.0495461i
\(621\) −234.944 524.480i −0.378332 0.844574i
\(622\) 508.079 508.079i 0.816848 0.816848i
\(623\) −40.1649 315.544i −0.0644702 0.506491i
\(624\) −5.95293 + 174.257i −0.00953996 + 0.279258i
\(625\) 624.138 32.8070i 0.998621 0.0524912i
\(626\) 119.567 207.096i 0.191001 0.330824i
\(627\) 321.697 + 1388.62i 0.513074 + 2.21471i
\(628\) 142.871 533.203i 0.227502 0.849049i
\(629\) 705.607i 1.12179i
\(630\) −84.2901 + 437.430i −0.133794 + 0.694334i
\(631\) −602.534 −0.954888 −0.477444 0.878662i \(-0.658437\pi\)
−0.477444 + 0.878662i \(0.658437\pi\)
\(632\) −71.9177 19.2703i −0.113794 0.0304910i
\(633\) −479.201 + 111.015i −0.757032 + 0.175379i
\(634\) 558.561 + 322.485i 0.881011 + 0.508652i
\(635\) 590.333 + 575.033i 0.929659 + 0.905563i
\(636\) −55.8524 1.90802i −0.0878182 0.00300003i
\(637\) 6.11231 711.938i 0.00959547 1.11764i
\(638\) 47.3603 + 47.3603i 0.0742324 + 0.0742324i
\(639\) 318.366 + 650.244i 0.498226 + 1.01760i
\(640\) −13.9224 + 54.8285i −0.0217538 + 0.0856696i
\(641\) −372.428 215.022i −0.581011 0.335447i 0.180524 0.983571i \(-0.442221\pi\)
−0.761535 + 0.648124i \(0.775554\pi\)
\(642\) 195.535 + 59.6192i 0.304572 + 0.0928647i
\(643\) −626.656 626.656i −0.974581 0.974581i 0.0251036 0.999685i \(-0.492008\pi\)
−0.999685 + 0.0251036i \(0.992008\pi\)
\(644\) 112.854 + 275.796i 0.175239 + 0.428254i
\(645\) −66.0071 + 108.972i −0.102337 + 0.168949i
\(646\) 277.925 + 481.380i 0.430224 + 0.745170i
\(647\) 260.681 69.8492i 0.402907 0.107959i −0.0516740 0.998664i \(-0.516456\pi\)
0.454581 + 0.890705i \(0.349789\pi\)
\(648\) 227.309 28.6100i 0.350786 0.0441512i
\(649\) 163.098 + 282.493i 0.251306 + 0.435275i
\(650\) 268.446 + 437.988i 0.412994 + 0.673828i
\(651\) −47.9510 + 57.7521i −0.0736575 + 0.0887130i
\(652\) 421.946 + 421.946i 0.647156 + 0.647156i
\(653\) −5.13649 + 19.1696i −0.00786598 + 0.0293563i −0.969747 0.244111i \(-0.921504\pi\)
0.961881 + 0.273467i \(0.0881705\pi\)
\(654\) −135.330 84.4210i −0.206927 0.129084i
\(655\) 317.507 + 533.634i 0.484744 + 0.814709i
\(656\) 0.0536150 + 0.0928639i 8.17301e−5 + 0.000141561i
\(657\) −968.643 + 844.610i −1.47434 + 1.28556i
\(658\) 73.7858 + 97.0190i 0.112136 + 0.147445i
\(659\) −1042.32 −1.58167 −0.790834 0.612031i \(-0.790353\pi\)
−0.790834 + 0.612031i \(0.790353\pi\)
\(660\) −426.395 444.708i −0.646052 0.673799i
\(661\) −577.967 333.689i −0.874383 0.504825i −0.00558050 0.999984i \(-0.501776\pi\)
−0.868802 + 0.495159i \(0.835110\pi\)
\(662\) 5.44005 + 20.3025i 0.00821760 + 0.0306685i
\(663\) −708.332 215.972i −1.06837 0.325749i
\(664\) 334.828 0.504258
\(665\) 801.862 112.784i 1.20581 0.169600i
\(666\) −36.0768 + 527.412i −0.0541694 + 0.791910i
\(667\) −12.7045 + 47.4139i −0.0190473 + 0.0710853i
\(668\) −19.4619 72.6329i −0.0291346 0.108732i
\(669\) −569.870 355.494i −0.851823 0.531381i
\(670\) −174.125 + 2.28619i −0.259888 + 0.00341222i
\(671\) −995.614 −1.48378
\(672\) −118.287 + 10.9679i −0.176022 + 0.0163212i
\(673\) 479.306 479.306i 0.712193 0.712193i −0.254800 0.966994i \(-0.582010\pi\)
0.966994 + 0.254800i \(0.0820097\pi\)
\(674\) −296.408 513.394i −0.439775 0.761713i
\(675\) 512.242 439.583i 0.758876 0.651235i
\(676\) −42.1174 + 72.9495i −0.0623039 + 0.107914i
\(677\) 17.6567 65.8959i 0.0260809 0.0973351i −0.951659 0.307158i \(-0.900622\pi\)
0.977739 + 0.209823i \(0.0672887\pi\)
\(678\) 208.051 + 222.769i 0.306860 + 0.328568i
\(679\) 317.068 + 774.860i 0.466963 + 1.14118i
\(680\) −209.626 117.385i −0.308273 0.172625i
\(681\) −1008.56 + 537.243i −1.48100 + 0.788903i
\(682\) −26.8691 100.277i −0.0393975 0.147033i
\(683\) −1196.10 + 320.494i −1.75124 + 0.469244i −0.984891 0.173176i \(-0.944597\pi\)
−0.766352 + 0.642421i \(0.777930\pi\)
\(684\) −183.125 374.022i −0.267727 0.546815i
\(685\) 295.919 + 1049.09i 0.431999 + 1.53152i
\(686\) 481.701 57.1167i 0.702188 0.0832604i
\(687\) −144.490 154.711i −0.210320 0.225198i
\(688\) −32.8168 8.79325i −0.0476989 0.0127809i
\(689\) −117.202 67.6668i −0.170105 0.0982102i
\(690\) 126.005 433.588i 0.182615 0.628388i
\(691\) 99.6825 57.5517i 0.144258 0.0832876i −0.426134 0.904660i \(-0.640125\pi\)
0.570392 + 0.821373i \(0.306791\pi\)
\(692\) 173.312 + 173.312i 0.250450 + 0.250450i
\(693\) 580.506 1156.26i 0.837671 1.66849i
\(694\) 20.9114i 0.0301317i
\(695\) 296.873 3.89782i 0.427155 0.00560837i
\(696\) −16.6027 10.3570i −0.0238544 0.0148808i
\(697\) −0.439903 + 0.117872i −0.000631137 + 0.000169113i
\(698\) −24.9235 6.67823i −0.0357070 0.00956766i
\(699\) 36.0413 1055.02i 0.0515612 1.50932i
\(700\) −272.927 + 219.114i −0.389896 + 0.313020i
\(701\) 850.600i 1.21341i 0.794927 + 0.606705i \(0.207509\pi\)
−0.794927 + 0.606705i \(0.792491\pi\)
\(702\) 518.406 + 197.646i 0.738471 + 0.281547i
\(703\) 928.187 248.707i 1.32032 0.353780i
\(704\) 82.1465 142.282i 0.116685 0.202105i
\(705\) 3.88185 184.649i 0.00550617 0.261914i
\(706\) 354.808i 0.502561i
\(707\) −661.279 869.499i −0.935332 1.22984i
\(708\) −65.0483 69.6499i −0.0918762 0.0983755i
\(709\) 279.742 161.509i 0.394559 0.227799i −0.289575 0.957155i \(-0.593514\pi\)
0.684133 + 0.729357i \(0.260181\pi\)
\(710\) −139.997 + 551.330i −0.197179 + 0.776522i
\(711\) −132.182 + 196.611i −0.185910 + 0.276527i
\(712\) −124.148 33.2654i −0.174365 0.0467211i
\(713\) 53.7990 53.7990i 0.0754544 0.0754544i
\(714\) 85.0305 497.318i 0.119090 0.696523i
\(715\) −405.038 1435.94i −0.566486 2.00831i
\(716\) 451.365 260.596i 0.630398 0.363960i
\(717\) −743.695 + 172.289i −1.03723 + 0.240292i
\(718\) 141.527 + 528.186i 0.197113 + 0.735634i
\(719\) −104.219 + 60.1707i −0.144950 + 0.0836867i −0.570721 0.821144i \(-0.693336\pi\)
0.425771 + 0.904831i \(0.360003\pi\)
\(720\) 150.685 + 98.4586i 0.209284 + 0.136748i
\(721\) 495.076 + 383.273i 0.686652 + 0.531585i
\(722\) −174.268 + 174.268i −0.241369 + 0.241369i
\(723\) 785.495 + 239.499i 1.08644 + 0.331257i
\(724\) 208.629 361.357i 0.288162 0.499112i
\(725\) −57.6336 + 1.51367i −0.0794947 + 0.00208782i
\(726\) 599.892 + 1126.17i 0.826298 + 1.55120i
\(727\) 182.698 182.698i 0.251304 0.251304i −0.570201 0.821505i \(-0.693135\pi\)
0.821505 + 0.570201i \(0.193135\pi\)
\(728\) −265.304 111.229i −0.364428 0.152787i
\(729\) 148.323 713.752i 0.203461 0.979083i
\(730\) −1009.63 + 13.2560i −1.38305 + 0.0181589i
\(731\) 72.1472 124.963i 0.0986966 0.170948i
\(732\) 283.375 65.6485i 0.387124 0.0896837i
\(733\) −215.993 + 806.098i −0.294670 + 1.09972i 0.646808 + 0.762653i \(0.276103\pi\)
−0.941479 + 0.337072i \(0.890563\pi\)
\(734\) 475.759i 0.648172i
\(735\) −625.372 386.181i −0.850846 0.525416i
\(736\) 120.407 0.163596
\(737\) 488.525 + 130.900i 0.662856 + 0.177612i
\(738\) 0.334836 0.0656124i 0.000453707 8.89057e-5i
\(739\) 781.051 + 450.940i 1.05690 + 0.610203i 0.924574 0.381003i \(-0.124421\pi\)
0.132329 + 0.991206i \(0.457754\pi\)
\(740\) −289.810 + 297.522i −0.391636 + 0.402056i
\(741\) 34.4316 1007.90i 0.0464663 1.36018i
\(742\) 35.6509 85.0345i 0.0480470 0.114602i
\(743\) −868.363 868.363i −1.16873 1.16873i −0.982509 0.186217i \(-0.940377\pi\)
−0.186217 0.982509i \(-0.559623\pi\)
\(744\) 14.2596 + 26.7694i 0.0191661 + 0.0359804i
\(745\) 434.993 + 731.094i 0.583884 + 0.981334i
\(746\) −394.548 227.792i −0.528885 0.305352i
\(747\) 345.337 1007.89i 0.462299 1.34926i
\(748\) 493.401 + 493.401i 0.659628 + 0.659628i
\(749\) −206.470 + 266.698i −0.275661 + 0.356073i
\(750\) 530.323 2.77783i 0.707097 0.00370377i
\(751\) 405.706 + 702.703i 0.540220 + 0.935689i 0.998891 + 0.0470828i \(0.0149925\pi\)
−0.458671 + 0.888606i \(0.651674\pi\)
\(752\) 47.5726 12.7470i 0.0632614 0.0169508i
\(753\) −558.286 + 129.336i −0.741415 + 0.171761i
\(754\) −23.6937 41.0387i −0.0314240 0.0544280i
\(755\) −77.6624 + 138.689i −0.102864 + 0.183694i
\(756\) −88.9841 + 367.377i −0.117704 + 0.485948i
\(757\) 603.322 + 603.322i 0.796991 + 0.796991i 0.982620 0.185629i \(-0.0594324\pi\)
−0.185629 + 0.982620i \(0.559432\pi\)
\(758\) −20.3255 + 75.8557i −0.0268146 + 0.100073i
\(759\) −694.079 + 1112.63i −0.914465 + 1.46592i
\(760\) 80.5267