Properties

Label 135.2.q.a.32.8
Level $135$
Weight $2$
Character 135.32
Analytic conductor $1.078$
Analytic rank $0$
Dimension $192$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 135 = 3^{3} \cdot 5 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 135.q (of order \(36\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.07798042729\)
Analytic rank: \(0\)
Dimension: \(192\)
Relative dimension: \(16\) over \(\Q(\zeta_{36})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{36}]$

Embedding invariants

Embedding label 32.8
Character \(\chi\) \(=\) 135.32
Dual form 135.2.q.a.38.8

$q$-expansion

\(f(q)\) \(=\) \(q+(0.00133058 - 0.0152086i) q^{2} +(-1.71244 - 0.259886i) q^{3} +(1.96939 + 0.347256i) q^{4} +(0.516124 - 2.17569i) q^{5} +(-0.00623106 + 0.0256981i) q^{6} +(-0.148030 + 0.211408i) q^{7} +(0.0158044 - 0.0589827i) q^{8} +(2.86492 + 0.890079i) q^{9} +O(q^{10})\) \(q+(0.00133058 - 0.0152086i) q^{2} +(-1.71244 - 0.259886i) q^{3} +(1.96939 + 0.347256i) q^{4} +(0.516124 - 2.17569i) q^{5} +(-0.00623106 + 0.0256981i) q^{6} +(-0.148030 + 0.211408i) q^{7} +(0.0158044 - 0.0589827i) q^{8} +(2.86492 + 0.890079i) q^{9} +(-0.0324025 - 0.0107445i) q^{10} +(1.49616 - 4.11066i) q^{11} +(-3.28221 - 1.10647i) q^{12} +(2.14258 - 0.187451i) q^{13} +(0.00301826 + 0.00253263i) q^{14} +(-1.44926 + 3.59161i) q^{15} +(3.75746 + 1.36760i) q^{16} +(0.456091 + 1.70216i) q^{17} +(0.0173489 - 0.0423872i) q^{18} +(-4.91894 + 2.83995i) q^{19} +(1.77197 - 4.10554i) q^{20} +(0.308434 - 0.323554i) q^{21} +(-0.0605267 - 0.0282241i) q^{22} +(-4.74660 + 3.32360i) q^{23} +(-0.0423928 + 0.0968971i) q^{24} +(-4.46723 - 2.24585i) q^{25} -0.0328351i q^{26} +(-4.67469 - 2.26876i) q^{27} +(-0.364940 + 0.364940i) q^{28} +(-3.59567 + 3.01712i) q^{29} +(0.0526951 + 0.0268202i) q^{30} +(-0.912568 + 5.17543i) q^{31} +(0.0774120 - 0.166010i) q^{32} +(-3.63039 + 6.65044i) q^{33} +(0.0264943 - 0.00467167i) q^{34} +(0.383557 + 0.431179i) q^{35} +(5.33305 + 2.74777i) q^{36} +(3.12552 - 0.837479i) q^{37} +(0.0366467 + 0.0785891i) q^{38} +(-3.71775 - 0.235826i) q^{39} +(-0.120171 - 0.0648277i) q^{40} +(0.241984 - 0.288386i) q^{41} +(-0.00451041 - 0.00512138i) q^{42} +(8.25395 - 3.84888i) q^{43} +(4.37396 - 7.57592i) q^{44} +(3.41519 - 5.77378i) q^{45} +(0.0442317 + 0.0766116i) q^{46} +(-3.28345 - 2.29910i) q^{47} +(-6.07901 - 3.31845i) q^{48} +(2.37136 + 6.51526i) q^{49} +(-0.0401003 + 0.0649522i) q^{50} +(-0.338664 - 3.03338i) q^{51} +(4.28465 + 0.374859i) q^{52} +(8.15900 + 8.15900i) q^{53} +(-0.0407248 + 0.0680769i) q^{54} +(-8.17131 - 5.37678i) q^{55} +(0.0101299 + 0.0120724i) q^{56} +(9.16146 - 3.58489i) q^{57} +(0.0411020 + 0.0586997i) q^{58} +(-10.6146 + 3.86341i) q^{59} +(-4.10136 + 6.56999i) q^{60} +(-2.10712 - 11.9501i) q^{61} +(0.0774969 + 0.0207652i) q^{62} +(-0.612263 + 0.473909i) q^{63} +(6.92336 + 3.99720i) q^{64} +(0.697999 - 4.75832i) q^{65} +(0.0963135 + 0.0640622i) q^{66} +(0.160052 + 1.82940i) q^{67} +(0.307136 + 3.51058i) q^{68} +(8.99203 - 4.45790i) q^{69} +(0.00706800 - 0.00525965i) q^{70} +(4.44360 + 2.56551i) q^{71} +(0.0977775 - 0.154913i) q^{72} +(-13.8702 - 3.71651i) q^{73} +(-0.00857816 - 0.0486492i) q^{74} +(7.06621 + 5.00686i) q^{75} +(-10.6735 + 3.88483i) q^{76} +(0.647552 + 0.924799i) q^{77} +(-0.00853337 + 0.0562282i) q^{78} +(-1.98949 - 2.37099i) q^{79} +(4.91479 - 7.46920i) q^{80} +(7.41552 + 5.10001i) q^{81} +(-0.00406398 - 0.00406398i) q^{82} +(4.94812 + 0.432904i) q^{83} +(0.719782 - 0.530096i) q^{84} +(3.93876 - 0.113789i) q^{85} +(-0.0475536 - 0.130653i) q^{86} +(6.94148 - 4.23219i) q^{87} +(-0.218812 - 0.153214i) q^{88} +(1.44584 + 2.50426i) q^{89} +(-0.0832671 - 0.0596228i) q^{90} +(-0.277536 + 0.480707i) q^{91} +(-10.5020 + 4.89717i) q^{92} +(2.90774 - 8.62546i) q^{93} +(-0.0393351 + 0.0468777i) q^{94} +(3.64006 + 12.1678i) q^{95} +(-0.175707 + 0.264165i) q^{96} +(-1.99162 - 4.27105i) q^{97} +(0.102243 - 0.0273961i) q^{98} +(7.94518 - 10.4450i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 192 q - 12 q^{2} - 12 q^{3} - 12 q^{5} - 36 q^{6} - 12 q^{7} - 18 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 192 q - 12 q^{2} - 12 q^{3} - 12 q^{5} - 36 q^{6} - 12 q^{7} - 18 q^{8} - 6 q^{10} - 36 q^{11} - 12 q^{12} - 12 q^{13} - 12 q^{15} - 24 q^{16} - 18 q^{17} - 54 q^{18} + 36 q^{20} - 24 q^{21} - 12 q^{22} - 36 q^{23} - 30 q^{25} - 36 q^{27} - 24 q^{28} + 60 q^{30} - 24 q^{31} - 48 q^{32} - 6 q^{33} + 36 q^{35} + 12 q^{36} - 6 q^{37} + 12 q^{38} - 36 q^{40} + 24 q^{41} - 24 q^{42} - 12 q^{43} + 18 q^{45} - 12 q^{46} - 6 q^{47} + 12 q^{48} + 36 q^{50} + 144 q^{51} + 12 q^{52} - 24 q^{55} + 180 q^{56} - 12 q^{57} - 12 q^{58} - 36 q^{60} - 60 q^{61} - 18 q^{62} - 54 q^{63} - 84 q^{65} + 72 q^{66} + 24 q^{67} - 60 q^{68} - 12 q^{70} - 36 q^{71} + 180 q^{72} - 6 q^{73} - 60 q^{75} - 72 q^{76} + 132 q^{77} + 78 q^{78} + 12 q^{81} - 24 q^{82} + 48 q^{83} - 12 q^{85} + 12 q^{86} + 144 q^{87} - 48 q^{88} + 48 q^{90} - 12 q^{91} + 258 q^{92} + 180 q^{93} + 18 q^{95} - 12 q^{96} + 24 q^{97} + 324 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/135\mathbb{Z}\right)^\times\).

\(n\) \(56\) \(82\)
\(\chi(n)\) \(e\left(\frac{5}{18}\right)\) \(e\left(\frac{1}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.00133058 0.0152086i 0.000940864 0.0107541i −0.995710 0.0925315i \(-0.970504\pi\)
0.996651 + 0.0817774i \(0.0260597\pi\)
\(3\) −1.71244 0.259886i −0.988679 0.150045i
\(4\) 1.96939 + 0.347256i 0.984693 + 0.173628i
\(5\) 0.516124 2.17569i 0.230818 0.972997i
\(6\) −0.00623106 + 0.0256981i −0.00254382 + 0.0104912i
\(7\) −0.148030 + 0.211408i −0.0559499 + 0.0799048i −0.846152 0.532941i \(-0.821087\pi\)
0.790202 + 0.612846i \(0.209975\pi\)
\(8\) 0.0158044 0.0589827i 0.00558769 0.0208535i
\(9\) 2.86492 + 0.890079i 0.954973 + 0.296693i
\(10\) −0.0324025 0.0107445i −0.0102466 0.00339770i
\(11\) 1.49616 4.11066i 0.451108 1.23941i −0.480836 0.876810i \(-0.659667\pi\)
0.931945 0.362600i \(-0.118111\pi\)
\(12\) −3.28221 1.10647i −0.947493 0.319411i
\(13\) 2.14258 0.187451i 0.594244 0.0519896i 0.213933 0.976848i \(-0.431373\pi\)
0.380311 + 0.924859i \(0.375817\pi\)
\(14\) 0.00301826 + 0.00253263i 0.000806665 + 0.000676873i
\(15\) −1.44926 + 3.59161i −0.374198 + 0.927349i
\(16\) 3.75746 + 1.36760i 0.939364 + 0.341901i
\(17\) 0.456091 + 1.70216i 0.110618 + 0.412833i 0.998922 0.0464236i \(-0.0147824\pi\)
−0.888303 + 0.459257i \(0.848116\pi\)
\(18\) 0.0173489 0.0423872i 0.00408918 0.00999075i
\(19\) −4.91894 + 2.83995i −1.12848 + 0.651529i −0.943553 0.331222i \(-0.892539\pi\)
−0.184929 + 0.982752i \(0.559206\pi\)
\(20\) 1.77197 4.10554i 0.396224 0.918027i
\(21\) 0.308434 0.323554i 0.0673059 0.0706052i
\(22\) −0.0605267 0.0282241i −0.0129043 0.00601740i
\(23\) −4.74660 + 3.32360i −0.989734 + 0.693019i −0.951946 0.306267i \(-0.900920\pi\)
−0.0377879 + 0.999286i \(0.512031\pi\)
\(24\) −0.0423928 + 0.0968971i −0.00865340 + 0.0197790i
\(25\) −4.46723 2.24585i −0.893447 0.449170i
\(26\) 0.0328351i 0.00643949i
\(27\) −4.67469 2.26876i −0.899644 0.436623i
\(28\) −0.364940 + 0.364940i −0.0689672 + 0.0689672i
\(29\) −3.59567 + 3.01712i −0.667699 + 0.560266i −0.912383 0.409337i \(-0.865760\pi\)
0.244685 + 0.969603i \(0.421316\pi\)
\(30\) 0.0526951 + 0.0268202i 0.00962076 + 0.00489668i
\(31\) −0.912568 + 5.17543i −0.163902 + 0.929534i 0.786287 + 0.617861i \(0.212001\pi\)
−0.950189 + 0.311673i \(0.899111\pi\)
\(32\) 0.0774120 0.166010i 0.0136846 0.0293468i
\(33\) −3.63039 + 6.65044i −0.631969 + 1.15769i
\(34\) 0.0264943 0.00467167i 0.00454374 0.000801184i
\(35\) 0.383557 + 0.431179i 0.0648329 + 0.0728826i
\(36\) 5.33305 + 2.74777i 0.888841 + 0.457962i
\(37\) 3.12552 0.837479i 0.513832 0.137681i 0.00741968 0.999972i \(-0.497638\pi\)
0.506412 + 0.862292i \(0.330972\pi\)
\(38\) 0.0366467 + 0.0785891i 0.00594488 + 0.0127488i
\(39\) −3.71775 0.235826i −0.595317 0.0377624i
\(40\) −0.120171 0.0648277i −0.0190007 0.0102502i
\(41\) 0.241984 0.288386i 0.0377916 0.0450383i −0.746818 0.665029i \(-0.768419\pi\)
0.784609 + 0.619991i \(0.212864\pi\)
\(42\) −0.00451041 0.00512138i −0.000695972 0.000790246i
\(43\) 8.25395 3.84888i 1.25872 0.586948i 0.325254 0.945627i \(-0.394550\pi\)
0.933461 + 0.358678i \(0.116772\pi\)
\(44\) 4.37396 7.57592i 0.659400 1.14211i
\(45\) 3.41519 5.77378i 0.509106 0.860704i
\(46\) 0.0442317 + 0.0766116i 0.00652161 + 0.0112958i
\(47\) −3.28345 2.29910i −0.478941 0.335358i 0.309049 0.951046i \(-0.399989\pi\)
−0.787990 + 0.615688i \(0.788878\pi\)
\(48\) −6.07901 3.31845i −0.877429 0.478977i
\(49\) 2.37136 + 6.51526i 0.338766 + 0.930751i
\(50\) −0.0401003 + 0.0649522i −0.00567104 + 0.00918563i
\(51\) −0.338664 3.03338i −0.0474224 0.424757i
\(52\) 4.28465 + 0.374859i 0.594174 + 0.0519835i
\(53\) 8.15900 + 8.15900i 1.12072 + 1.12072i 0.991633 + 0.129092i \(0.0412062\pi\)
0.129092 + 0.991633i \(0.458794\pi\)
\(54\) −0.0407248 + 0.0680769i −0.00554195 + 0.00926409i
\(55\) −8.17131 5.37678i −1.10182 0.725005i
\(56\) 0.0101299 + 0.0120724i 0.00135367 + 0.00161324i
\(57\) 9.16146 3.58489i 1.21347 0.474830i
\(58\) 0.0411020 + 0.0586997i 0.00539696 + 0.00770765i
\(59\) −10.6146 + 3.86341i −1.38191 + 0.502973i −0.922756 0.385385i \(-0.874069\pi\)
−0.459152 + 0.888358i \(0.651847\pi\)
\(60\) −4.10136 + 6.56999i −0.529484 + 0.848183i
\(61\) −2.10712 11.9501i −0.269790 1.53005i −0.755040 0.655678i \(-0.772383\pi\)
0.485251 0.874375i \(-0.338728\pi\)
\(62\) 0.0774969 + 0.0207652i 0.00984212 + 0.00263719i
\(63\) −0.612263 + 0.473909i −0.0771379 + 0.0597070i
\(64\) 6.92336 + 3.99720i 0.865420 + 0.499650i
\(65\) 0.697999 4.75832i 0.0865761 0.590197i
\(66\) 0.0963135 + 0.0640622i 0.0118554 + 0.00788551i
\(67\) 0.160052 + 1.82940i 0.0195534 + 0.223497i 0.999684 + 0.0251426i \(0.00800398\pi\)
−0.980130 + 0.198354i \(0.936440\pi\)
\(68\) 0.307136 + 3.51058i 0.0372457 + 0.425721i
\(69\) 8.99203 4.45790i 1.08251 0.536669i
\(70\) 0.00706800 0.00525965i 0.000844787 0.000628649i
\(71\) 4.44360 + 2.56551i 0.527358 + 0.304471i 0.739940 0.672673i \(-0.234854\pi\)
−0.212582 + 0.977143i \(0.568187\pi\)
\(72\) 0.0977775 0.154913i 0.0115232 0.0182567i
\(73\) −13.8702 3.71651i −1.62338 0.434984i −0.671390 0.741104i \(-0.734303\pi\)
−0.951993 + 0.306120i \(0.900969\pi\)
\(74\) −0.00857816 0.0486492i −0.000997191 0.00565535i
\(75\) 7.06621 + 5.00686i 0.815936 + 0.578142i
\(76\) −10.6735 + 3.88483i −1.22433 + 0.445620i
\(77\) 0.647552 + 0.924799i 0.0737953 + 0.105391i
\(78\) −0.00853337 + 0.0562282i −0.000966214 + 0.00636659i
\(79\) −1.98949 2.37099i −0.223835 0.266757i 0.642426 0.766348i \(-0.277928\pi\)
−0.866261 + 0.499591i \(0.833484\pi\)
\(80\) 4.91479 7.46920i 0.549490 0.835082i
\(81\) 7.41552 + 5.10001i 0.823946 + 0.566668i
\(82\) −0.00406398 0.00406398i −0.000448791 0.000448791i
\(83\) 4.94812 + 0.432904i 0.543127 + 0.0475174i 0.355418 0.934707i \(-0.384338\pi\)
0.187708 + 0.982225i \(0.439894\pi\)
\(84\) 0.719782 0.530096i 0.0785347 0.0578383i
\(85\) 3.93876 0.113789i 0.427218 0.0123422i
\(86\) −0.0475536 0.130653i −0.00512784 0.0140886i
\(87\) 6.94148 4.23219i 0.744205 0.453738i
\(88\) −0.218812 0.153214i −0.0233254 0.0163326i
\(89\) 1.44584 + 2.50426i 0.153259 + 0.265452i 0.932424 0.361367i \(-0.117690\pi\)
−0.779165 + 0.626819i \(0.784357\pi\)
\(90\) −0.0832671 0.0596228i −0.00877712 0.00628480i
\(91\) −0.277536 + 0.480707i −0.0290937 + 0.0503917i
\(92\) −10.5020 + 4.89717i −1.09491 + 0.510565i
\(93\) 2.90774 8.62546i 0.301519 0.894418i
\(94\) −0.0393351 + 0.0468777i −0.00405710 + 0.00483507i
\(95\) 3.64006 + 12.1678i 0.373463 + 1.24839i
\(96\) −0.175707 + 0.264165i −0.0179331 + 0.0269612i
\(97\) −1.99162 4.27105i −0.202219 0.433659i 0.778879 0.627175i \(-0.215789\pi\)
−0.981097 + 0.193516i \(0.938011\pi\)
\(98\) 0.102243 0.0273961i 0.0103282 0.00276742i
\(99\) 7.94518 10.4450i 0.798521 1.04976i
\(100\) −8.01782 5.97421i −0.801782 0.597421i
\(101\) 2.84523 0.501690i 0.283110 0.0499200i −0.0302897 0.999541i \(-0.509643\pi\)
0.313400 + 0.949621i \(0.398532\pi\)
\(102\) −0.0465841 + 0.00111446i −0.00461251 + 0.000110348i
\(103\) 4.26799 9.15274i 0.420538 0.901846i −0.575900 0.817520i \(-0.695348\pi\)
0.996438 0.0843263i \(-0.0268738\pi\)
\(104\) 0.0228057 0.129337i 0.00223628 0.0126826i
\(105\) −0.544761 0.838050i −0.0531633 0.0817853i
\(106\) 0.134943 0.113231i 0.0131069 0.0109980i
\(107\) −10.6261 + 10.6261i −1.02727 + 1.02727i −0.0276498 + 0.999618i \(0.508802\pi\)
−0.999618 + 0.0276498i \(0.991198\pi\)
\(108\) −8.41843 6.09138i −0.810064 0.586143i
\(109\) 12.0030i 1.14968i −0.818265 0.574841i \(-0.805064\pi\)
0.818265 0.574841i \(-0.194936\pi\)
\(110\) −0.0926461 + 0.117120i −0.00883346 + 0.0111670i
\(111\) −5.56991 + 0.621858i −0.528673 + 0.0590241i
\(112\) −0.845337 + 0.591912i −0.0798769 + 0.0559304i
\(113\) 8.41851 + 3.92562i 0.791947 + 0.369291i 0.776121 0.630584i \(-0.217184\pi\)
0.0158260 + 0.999875i \(0.494962\pi\)
\(114\) −0.0423312 0.144103i −0.00396468 0.0134965i
\(115\) 4.78129 + 12.0425i 0.445858 + 1.12297i
\(116\) −8.12897 + 4.69326i −0.754756 + 0.435759i
\(117\) 6.30515 + 1.37003i 0.582912 + 0.126659i
\(118\) 0.0446336 + 0.166575i 0.00410885 + 0.0153344i
\(119\) −0.427365 0.155548i −0.0391765 0.0142591i
\(120\) 0.188938 + 0.142244i 0.0172476 + 0.0129851i
\(121\) −6.23254 5.22972i −0.566595 0.475429i
\(122\) −0.184548 + 0.0161459i −0.0167082 + 0.00146178i
\(123\) −0.489332 + 0.430956i −0.0441216 + 0.0388580i
\(124\) −3.59440 + 9.87552i −0.322786 + 0.886848i
\(125\) −7.19191 + 8.56017i −0.643264 + 0.765645i
\(126\) 0.00639285 + 0.00994226i 0.000569520 + 0.000885727i
\(127\) −5.03035 + 18.7735i −0.446371 + 1.66588i 0.265918 + 0.963996i \(0.414325\pi\)
−0.712290 + 0.701885i \(0.752342\pi\)
\(128\) 0.280131 0.400068i 0.0247603 0.0353614i
\(129\) −15.1347 + 4.44590i −1.33253 + 0.391440i
\(130\) −0.0714389 0.0169470i −0.00626560 0.00148635i
\(131\) −4.49710 0.792959i −0.392913 0.0692812i −0.0262986 0.999654i \(-0.508372\pi\)
−0.366614 + 0.930373i \(0.619483\pi\)
\(132\) −9.45903 + 11.8366i −0.823303 + 1.03024i
\(133\) 0.127760 1.46030i 0.0110782 0.126624i
\(134\) 0.0280356 0.00242191
\(135\) −7.34883 + 8.99970i −0.632487 + 0.774571i
\(136\) 0.107606 0.00922713
\(137\) 0.609750 6.96948i 0.0520945 0.595443i −0.924619 0.380894i \(-0.875616\pi\)
0.976713 0.214549i \(-0.0688281\pi\)
\(138\) −0.0558340 0.142688i −0.00475291 0.0121464i
\(139\) 8.03836 + 1.41738i 0.681805 + 0.120221i 0.503815 0.863812i \(-0.331929\pi\)
0.177990 + 0.984032i \(0.443041\pi\)
\(140\) 0.605642 + 0.982350i 0.0511861 + 0.0830238i
\(141\) 5.02522 + 4.79040i 0.423200 + 0.403424i
\(142\) 0.0449306 0.0641675i 0.00377049 0.00538482i
\(143\) 2.43508 9.08786i 0.203632 0.759965i
\(144\) 9.54753 + 7.26250i 0.795628 + 0.605209i
\(145\) 4.70851 + 9.38026i 0.391020 + 0.778988i
\(146\) −0.0749784 + 0.206002i −0.00620526 + 0.0170488i
\(147\) −2.36759 11.7733i −0.195276 0.971045i
\(148\) 6.44617 0.563966i 0.529872 0.0463578i
\(149\) −14.7726 12.3956i −1.21021 1.01549i −0.999278 0.0379911i \(-0.987904\pi\)
−0.210937 0.977500i \(-0.567651\pi\)
\(150\) 0.0855496 0.100805i 0.00698510 0.00823073i
\(151\) −14.1147 5.13734i −1.14864 0.418070i −0.303613 0.952795i \(-0.598193\pi\)
−0.845026 + 0.534725i \(0.820415\pi\)
\(152\) 0.0897672 + 0.335016i 0.00728108 + 0.0271734i
\(153\) −0.208389 + 5.28249i −0.0168473 + 0.427064i
\(154\) 0.0149266 0.00861785i 0.00120282 0.000694446i
\(155\) 10.7891 + 4.65662i 0.866603 + 0.374029i
\(156\) −7.23980 1.75544i −0.579648 0.140548i
\(157\) 2.11753 + 0.987420i 0.168997 + 0.0788047i 0.505276 0.862958i \(-0.331391\pi\)
−0.336279 + 0.941762i \(0.609168\pi\)
\(158\) −0.0387066 + 0.0271027i −0.00307933 + 0.00215617i
\(159\) −11.8514 16.0922i −0.939878 1.27620i
\(160\) −0.321233 0.254106i −0.0253957 0.0200889i
\(161\) 1.49546i 0.117859i
\(162\) 0.0874311 0.105994i 0.00686924 0.00832767i
\(163\) 10.7302 10.7302i 0.840451 0.840451i −0.148467 0.988917i \(-0.547434\pi\)
0.988917 + 0.148467i \(0.0474338\pi\)
\(164\) 0.576705 0.483913i 0.0450331 0.0377872i
\(165\) 12.5955 + 11.3310i 0.980562 + 0.882120i
\(166\) 0.0131678 0.0746781i 0.00102202 0.00579615i
\(167\) 8.20013 17.5852i 0.634545 1.36079i −0.281442 0.959578i \(-0.590813\pi\)
0.915987 0.401208i \(-0.131410\pi\)
\(168\) −0.0142095 0.0233058i −0.00109628 0.00179808i
\(169\) −8.24701 + 1.45417i −0.634385 + 0.111859i
\(170\) 0.00351027 0.0600545i 0.000269225 0.00460597i
\(171\) −16.6201 + 3.75798i −1.27097 + 0.287380i
\(172\) 17.5918 4.71370i 1.34136 0.359416i
\(173\) 2.45707 + 5.26921i 0.186808 + 0.400610i 0.977300 0.211862i \(-0.0679528\pi\)
−0.790492 + 0.612472i \(0.790175\pi\)
\(174\) −0.0551296 0.111202i −0.00417936 0.00843018i
\(175\) 1.13607 0.611958i 0.0858791 0.0462597i
\(176\) 11.2435 13.3995i 0.847510 1.01002i
\(177\) 19.1810 3.85728i 1.44173 0.289931i
\(178\) 0.0400103 0.0186571i 0.00299890 0.00139841i
\(179\) 4.77974 8.27875i 0.357254 0.618783i −0.630247 0.776395i \(-0.717046\pi\)
0.987501 + 0.157612i \(0.0503796\pi\)
\(180\) 8.73080 10.1849i 0.650755 0.759134i
\(181\) 6.93879 + 12.0183i 0.515756 + 0.893315i 0.999833 + 0.0182899i \(0.00582219\pi\)
−0.484077 + 0.875026i \(0.660844\pi\)
\(182\) 0.00694161 + 0.00486056i 0.000514546 + 0.000360289i
\(183\) 0.502668 + 21.0115i 0.0371583 + 1.55321i
\(184\) 0.121018 + 0.332494i 0.00892157 + 0.0245118i
\(185\) −0.208941 7.23239i −0.0153616 0.531736i
\(186\) −0.127312 0.0556997i −0.00933500 0.00408410i
\(187\) 7.67937 + 0.671857i 0.561571 + 0.0491311i
\(188\) −5.66801 5.66801i −0.413382 0.413382i
\(189\) 1.17163 0.652424i 0.0852234 0.0474569i
\(190\) 0.189900 0.0391701i 0.0137768 0.00284170i
\(191\) −7.63489 9.09890i −0.552441 0.658374i 0.415488 0.909599i \(-0.363611\pi\)
−0.967929 + 0.251225i \(0.919167\pi\)
\(192\) −10.8170 8.64426i −0.780652 0.623846i
\(193\) −6.94425 9.91741i −0.499858 0.713871i 0.487368 0.873197i \(-0.337957\pi\)
−0.987226 + 0.159325i \(0.949068\pi\)
\(194\) −0.0676068 + 0.0246069i −0.00485389 + 0.00176667i
\(195\) −2.43190 + 7.96696i −0.174152 + 0.570526i
\(196\) 2.40766 + 13.6545i 0.171976 + 0.975323i
\(197\) 5.74222 + 1.53862i 0.409116 + 0.109622i 0.457507 0.889206i \(-0.348743\pi\)
−0.0483907 + 0.998828i \(0.515409\pi\)
\(198\) −0.148283 0.134733i −0.0105380 0.00957508i
\(199\) 4.84519 + 2.79737i 0.343466 + 0.198300i 0.661804 0.749677i \(-0.269791\pi\)
−0.318337 + 0.947977i \(0.603124\pi\)
\(200\) −0.203068 + 0.227995i −0.0143591 + 0.0161217i
\(201\) 0.201356 3.17433i 0.0142025 0.223900i
\(202\) −0.00384421 0.0439395i −0.000270478 0.00309157i
\(203\) −0.105579 1.20678i −0.00741022 0.0846992i
\(204\) 0.386398 6.09149i 0.0270533 0.426490i
\(205\) −0.502544 0.675325i −0.0350992 0.0471668i
\(206\) −0.133522 0.0770888i −0.00930290 0.00537103i
\(207\) −16.5569 + 5.29700i −1.15078 + 0.368167i
\(208\) 8.30699 + 2.22585i 0.575986 + 0.154335i
\(209\) 4.31456 + 24.4691i 0.298444 + 1.69256i
\(210\) −0.0134705 + 0.00716998i −0.000929549 + 0.000494776i
\(211\) 5.33826 1.94297i 0.367501 0.133759i −0.151667 0.988432i \(-0.548464\pi\)
0.519168 + 0.854672i \(0.326242\pi\)
\(212\) 13.2350 + 18.9015i 0.908980 + 1.29816i
\(213\) −6.94267 5.54813i −0.475704 0.380151i
\(214\) 0.147470 + 0.175748i 0.0100808 + 0.0120139i
\(215\) −4.11390 19.9445i −0.280566 1.36020i
\(216\) −0.207698 + 0.239869i −0.0141321 + 0.0163210i
\(217\) −0.959041 0.959041i −0.0651039 0.0651039i
\(218\) −0.182550 0.0159710i −0.0123638 0.00108169i
\(219\) 22.7860 + 9.96897i 1.53974 + 0.673641i
\(220\) −14.2253 13.4265i −0.959072 0.905214i
\(221\) 1.29628 + 3.56150i 0.0871973 + 0.239573i
\(222\) 0.00204637 + 0.0855382i 0.000137344 + 0.00574095i
\(223\) 10.8010 + 7.56295i 0.723289 + 0.506452i 0.876296 0.481773i \(-0.160007\pi\)
−0.153007 + 0.988225i \(0.548896\pi\)
\(224\) 0.0236367 + 0.0409400i 0.00157929 + 0.00273542i
\(225\) −10.7993 10.4104i −0.719952 0.694024i
\(226\) 0.0709048 0.122811i 0.00471652 0.00816925i
\(227\) 13.2080 6.15899i 0.876646 0.408787i 0.0684181 0.997657i \(-0.478205\pi\)
0.808228 + 0.588870i \(0.200427\pi\)
\(228\) 19.2873 3.87866i 1.27733 0.256870i
\(229\) −5.35302 + 6.37948i −0.353738 + 0.421568i −0.913343 0.407191i \(-0.866508\pi\)
0.559605 + 0.828759i \(0.310953\pi\)
\(230\) 0.189512 0.0566933i 0.0124960 0.00373825i
\(231\) −0.868552 1.75196i −0.0571466 0.115270i
\(232\) 0.121131 + 0.259766i 0.00795262 + 0.0170545i
\(233\) −26.7094 + 7.15675i −1.74979 + 0.468854i −0.984581 0.174930i \(-0.944030\pi\)
−0.765207 + 0.643784i \(0.777363\pi\)
\(234\) 0.0292258 0.0940698i 0.00191055 0.00614954i
\(235\) −6.69679 + 5.95715i −0.436850 + 0.388602i
\(236\) −22.2459 + 3.92255i −1.44808 + 0.255336i
\(237\) 2.79071 + 4.57722i 0.181276 + 0.297322i
\(238\) −0.00293432 + 0.00629266i −0.000190204 + 0.000407893i
\(239\) 3.76477 21.3510i 0.243522 1.38108i −0.580377 0.814348i \(-0.697095\pi\)
0.823899 0.566736i \(-0.191794\pi\)
\(240\) −10.3574 + 11.5133i −0.668569 + 0.743180i
\(241\) 3.99926 3.35578i 0.257615 0.216165i −0.504828 0.863220i \(-0.668444\pi\)
0.762443 + 0.647055i \(0.224000\pi\)
\(242\) −0.0878299 + 0.0878299i −0.00564592 + 0.00564592i
\(243\) −11.3732 10.6607i −0.729593 0.683882i
\(244\) 24.2661i 1.55348i
\(245\) 15.3991 1.79666i 0.983811 0.114784i
\(246\) 0.00590315 + 0.00801549i 0.000376371 + 0.000511049i
\(247\) −10.0068 + 7.00687i −0.636721 + 0.445837i
\(248\) 0.290838 + 0.135620i 0.0184682 + 0.00861188i
\(249\) −8.36086 2.02727i −0.529848 0.128473i
\(250\) 0.120619 + 0.120769i 0.00762862 + 0.00763811i
\(251\) 12.0778 6.97313i 0.762345 0.440140i −0.0677923 0.997699i \(-0.521596\pi\)
0.830137 + 0.557560i \(0.188262\pi\)
\(252\) −1.37035 + 0.720698i −0.0863239 + 0.0453997i
\(253\) 6.56054 + 24.4843i 0.412458 + 1.53931i
\(254\) 0.278826 + 0.101484i 0.0174951 + 0.00636770i
\(255\) −6.77447 0.828770i −0.424234 0.0518996i
\(256\) 12.2424 + 10.2726i 0.765152 + 0.642039i
\(257\) −9.33717 + 0.816897i −0.582437 + 0.0509566i −0.374567 0.927200i \(-0.622209\pi\)
−0.207870 + 0.978156i \(0.566653\pi\)
\(258\) 0.0474781 + 0.236093i 0.00295586 + 0.0146985i
\(259\) −0.285619 + 0.784731i −0.0177475 + 0.0487608i
\(260\) 3.02699 9.12859i 0.187726 0.566131i
\(261\) −12.9868 + 5.44338i −0.803861 + 0.336937i
\(262\) −0.0180436 + 0.0673396i −0.00111474 + 0.00416025i
\(263\) 5.75656 8.22122i 0.354965 0.506942i −0.601467 0.798897i \(-0.705417\pi\)
0.956432 + 0.291955i \(0.0943059\pi\)
\(264\) 0.334885 + 0.319236i 0.0206107 + 0.0196476i
\(265\) 21.9625 13.5404i 1.34914 0.831779i
\(266\) −0.0220392 0.00388610i −0.00135131 0.000238272i
\(267\) −1.82509 4.66416i −0.111694 0.285442i
\(268\) −0.320066 + 3.65837i −0.0195511 + 0.223470i
\(269\) 1.84882 0.112724 0.0563622 0.998410i \(-0.482050\pi\)
0.0563622 + 0.998410i \(0.482050\pi\)
\(270\) 0.127095 + 0.123741i 0.00773475 + 0.00753061i
\(271\) 14.0068 0.850851 0.425426 0.904993i \(-0.360124\pi\)
0.425426 + 0.904993i \(0.360124\pi\)
\(272\) −0.614129 + 7.01953i −0.0372370 + 0.425621i
\(273\) 0.600193 0.751055i 0.0363254 0.0454559i
\(274\) −0.105185 0.0185469i −0.00635445 0.00112046i
\(275\) −15.9156 + 15.0031i −0.959747 + 0.904723i
\(276\) 19.2568 5.65680i 1.15912 0.340499i
\(277\) 10.4313 14.8975i 0.626758 0.895103i −0.372703 0.927951i \(-0.621569\pi\)
0.999460 + 0.0328481i \(0.0104577\pi\)
\(278\) 0.0322521 0.120367i 0.00193435 0.00721911i
\(279\) −7.22097 + 14.0149i −0.432308 + 0.839051i
\(280\) 0.0314940 0.0158087i 0.00188212 0.000944750i
\(281\) −8.98091 + 24.6748i −0.535756 + 1.47198i 0.316368 + 0.948637i \(0.397537\pi\)
−0.852124 + 0.523341i \(0.824686\pi\)
\(282\) 0.0795419 0.0700527i 0.00473665 0.00417158i
\(283\) −18.2738 + 1.59875i −1.08627 + 0.0950360i −0.616196 0.787593i \(-0.711327\pi\)
−0.470071 + 0.882629i \(0.655772\pi\)
\(284\) 7.86028 + 6.59556i 0.466422 + 0.391374i
\(285\) −3.07115 21.7827i −0.181919 1.29030i
\(286\) −0.134974 0.0491264i −0.00798117 0.00290491i
\(287\) 0.0251463 + 0.0938472i 0.00148434 + 0.00553962i
\(288\) 0.369541 0.406704i 0.0217754 0.0239652i
\(289\) 12.0331 6.94732i 0.707830 0.408666i
\(290\) 0.148926 0.0591288i 0.00874523 0.00347216i
\(291\) 2.30055 + 7.83152i 0.134861 + 0.459092i
\(292\) −26.0252 12.1357i −1.52301 0.710191i
\(293\) 8.60861 6.02781i 0.502920 0.352149i −0.294422 0.955675i \(-0.595127\pi\)
0.797343 + 0.603527i \(0.206238\pi\)
\(294\) −0.182206 + 0.0203425i −0.0106265 + 0.00118640i
\(295\) 2.92711 + 25.0881i 0.170423 + 1.46069i
\(296\) 0.197587i 0.0114845i
\(297\) −16.3202 + 15.8216i −0.946993 + 0.918064i
\(298\) −0.208177 + 0.208177i −0.0120594 + 0.0120594i
\(299\) −9.54693 + 8.01082i −0.552113 + 0.463278i
\(300\) 12.1774 + 12.3142i 0.703065 + 0.710962i
\(301\) −0.408144 + 2.31470i −0.0235250 + 0.133417i
\(302\) −0.0969127 + 0.207830i −0.00557670 + 0.0119593i
\(303\) −5.00267 + 0.119681i −0.287396 + 0.00687551i
\(304\) −22.3666 + 3.94384i −1.28281 + 0.226195i
\(305\) −27.0872 1.58328i −1.55101 0.0906586i
\(306\) 0.0800623 + 0.0101981i 0.00457685 + 0.000582987i
\(307\) −12.3714 + 3.31491i −0.706074 + 0.189192i −0.593949 0.804502i \(-0.702432\pi\)
−0.112124 + 0.993694i \(0.535765\pi\)
\(308\) 0.954137 + 2.04615i 0.0543670 + 0.116590i
\(309\) −9.68736 + 14.5643i −0.551095 + 0.828537i
\(310\) 0.0851767 0.157892i 0.00483771 0.00896765i
\(311\) 13.5014 16.0903i 0.765592 0.912397i −0.232596 0.972573i \(-0.574722\pi\)
0.998188 + 0.0601768i \(0.0191664\pi\)
\(312\) −0.0726664 + 0.215556i −0.00411392 + 0.0122035i
\(313\) −26.7887 + 12.4918i −1.51419 + 0.706078i −0.989408 0.145159i \(-0.953631\pi\)
−0.524781 + 0.851237i \(0.675853\pi\)
\(314\) 0.0178349 0.0308909i 0.00100648 0.00174327i
\(315\) 0.715075 + 1.57669i 0.0402899 + 0.0888363i
\(316\) −3.09474 5.36025i −0.174093 0.301538i
\(317\) −21.7523 15.2311i −1.22173 0.855465i −0.228720 0.973492i \(-0.573454\pi\)
−0.993010 + 0.118027i \(0.962343\pi\)
\(318\) −0.260510 + 0.158832i −0.0146087 + 0.00890684i
\(319\) 7.02268 + 19.2947i 0.393195 + 1.08029i
\(320\) 12.2700 13.0000i 0.685912 0.726723i
\(321\) 20.9582 15.4351i 1.16977 0.861501i
\(322\) −0.0227439 0.00198984i −0.00126747 0.000110889i
\(323\) −7.07752 7.07752i −0.393804 0.393804i
\(324\) 12.8330 + 12.6190i 0.712945 + 0.701054i
\(325\) −9.99237 3.97451i −0.554277 0.220466i
\(326\) −0.148914 0.177468i −0.00824756 0.00982906i
\(327\) −3.11942 + 20.5545i −0.172504 + 1.13667i
\(328\) −0.0131854 0.0188306i −0.000728040 0.00103975i
\(329\) 0.972097 0.353814i 0.0535934 0.0195064i
\(330\) 0.189089 0.176484i 0.0104090 0.00971513i
\(331\) −1.72647 9.79132i −0.0948956 0.538179i −0.994779 0.102050i \(-0.967460\pi\)
0.899884 0.436130i \(-0.143651\pi\)
\(332\) 9.59443 + 2.57082i 0.526563 + 0.141092i
\(333\) 9.69977 + 0.382646i 0.531544 + 0.0209689i
\(334\) −0.256536 0.148111i −0.0140371 0.00810430i
\(335\) 4.06280 + 0.595973i 0.221975 + 0.0325615i
\(336\) 1.60142 0.793923i 0.0873647 0.0433121i
\(337\) −1.22264 13.9748i −0.0666015 0.761258i −0.953912 0.300086i \(-0.902985\pi\)
0.887311 0.461172i \(-0.152571\pi\)
\(338\) 0.0111426 + 0.127361i 0.000606078 + 0.00692750i
\(339\) −13.3960 8.91025i −0.727571 0.483938i
\(340\) 7.79645 + 1.14366i 0.422822 + 0.0620238i
\(341\) 19.9091 + 11.4945i 1.07814 + 0.622463i
\(342\) 0.0350393 + 0.257770i 0.00189471 + 0.0139386i
\(343\) −3.47343 0.930702i −0.187547 0.0502532i
\(344\) −0.0965688 0.547669i −0.00520664 0.0295283i
\(345\) −5.05801 21.8647i −0.272314 1.17715i
\(346\) 0.0834068 0.0303576i 0.00448397 0.00163203i
\(347\) 3.50208 + 5.00149i 0.188001 + 0.268494i 0.902077 0.431574i \(-0.142042\pi\)
−0.714076 + 0.700068i \(0.753153\pi\)
\(348\) 15.1401 5.92434i 0.811595 0.317578i
\(349\) −2.45708 2.92823i −0.131524 0.156745i 0.696263 0.717787i \(-0.254845\pi\)
−0.827787 + 0.561042i \(0.810400\pi\)
\(350\) −0.00779540 0.0180924i −0.000416682 0.000967079i
\(351\) −10.4412 3.98472i −0.557308 0.212689i
\(352\) −0.566592 0.566592i −0.0301995 0.0301995i
\(353\) −2.21879 0.194119i −0.118094 0.0103319i 0.0279554 0.999609i \(-0.491100\pi\)
−0.146050 + 0.989277i \(0.546656\pi\)
\(354\) −0.0331420 0.296849i −0.00176148 0.0157774i
\(355\) 7.87521 8.34377i 0.417973 0.442841i
\(356\) 1.97779 + 5.43394i 0.104823 + 0.287998i
\(357\) 0.691413 + 0.377433i 0.0365934 + 0.0199759i
\(358\) −0.119549 0.0837088i −0.00631834 0.00442415i
\(359\) 5.90045 + 10.2199i 0.311414 + 0.539385i 0.978669 0.205445i \(-0.0658641\pi\)
−0.667255 + 0.744829i \(0.732531\pi\)
\(360\) −0.286578 0.292688i −0.0151040 0.0154260i
\(361\) 6.63064 11.4846i 0.348981 0.604453i
\(362\) 0.192015 0.0895381i 0.0100921 0.00470602i
\(363\) 9.31374 + 10.5753i 0.488844 + 0.555062i
\(364\) −0.713504 + 0.850321i −0.0373978 + 0.0445689i
\(365\) −15.2447 + 28.2590i −0.797944 + 1.47915i
\(366\) 0.320225 + 0.0203126i 0.0167384 + 0.00106176i
\(367\) −0.896047 1.92158i −0.0467733 0.100306i 0.881532 0.472123i \(-0.156512\pi\)
−0.928306 + 0.371818i \(0.878735\pi\)
\(368\) −22.3805 + 5.99683i −1.16666 + 0.312607i
\(369\) 0.949952 0.610817i 0.0494525 0.0317978i
\(370\) −0.110273 0.00644559i −0.00573281 0.000335090i
\(371\) −2.93265 + 0.517106i −0.152256 + 0.0268468i
\(372\) 8.72170 15.9771i 0.452199 0.828376i
\(373\) 1.40277 3.00825i 0.0726328 0.155762i −0.866639 0.498936i \(-0.833724\pi\)
0.939272 + 0.343174i \(0.111502\pi\)
\(374\) 0.0204361 0.115899i 0.00105672 0.00599298i
\(375\) 14.5404 12.7897i 0.750863 0.660458i
\(376\) −0.187500 + 0.157331i −0.00966957 + 0.00811373i
\(377\) −7.13843 + 7.13843i −0.367648 + 0.367648i
\(378\) −0.00836353 0.0186870i −0.000430173 0.000961153i
\(379\) 15.7634i 0.809713i −0.914380 0.404856i \(-0.867322\pi\)
0.914380 0.404856i \(-0.132678\pi\)
\(380\) 2.94334 + 25.2272i 0.150990 + 1.29413i
\(381\) 13.4932 30.8413i 0.691276 1.58005i
\(382\) −0.148541 + 0.104009i −0.00760001 + 0.00532158i
\(383\) 24.9622 + 11.6401i 1.27551 + 0.594781i 0.938031 0.346552i \(-0.112648\pi\)
0.337480 + 0.941333i \(0.390425\pi\)
\(384\) −0.583680 + 0.612292i −0.0297858 + 0.0312459i
\(385\) 2.34629 0.931559i 0.119578 0.0474766i
\(386\) −0.160070 + 0.0924166i −0.00814736 + 0.00470388i
\(387\) 27.0727 3.68006i 1.37618 0.187068i
\(388\) −2.43913 9.10294i −0.123828 0.462132i
\(389\) 28.2091 + 10.2673i 1.43026 + 0.520571i 0.937005 0.349315i \(-0.113586\pi\)
0.493252 + 0.869886i \(0.335808\pi\)
\(390\) 0.117931 + 0.0475866i 0.00597165 + 0.00240964i
\(391\) −7.82217 6.56358i −0.395584 0.331934i
\(392\) 0.421765 0.0368997i 0.0213024 0.00186372i
\(393\) 7.49494 + 2.52663i 0.378070 + 0.127452i
\(394\) 0.0310408 0.0852840i 0.00156382 0.00429655i
\(395\) −6.18535 + 3.10479i −0.311219 + 0.156219i
\(396\) 19.2742 17.8112i 0.968566 0.895048i
\(397\) −1.23812 + 4.62074i −0.0621397 + 0.231908i −0.990011 0.140993i \(-0.954970\pi\)
0.927871 + 0.372902i \(0.121637\pi\)
\(398\) 0.0489911 0.0699666i 0.00245570 0.00350711i
\(399\) −0.598293 + 2.46748i −0.0299521 + 0.123528i
\(400\) −13.7140 14.5481i −0.685700 0.727404i
\(401\) −8.47214 1.49387i −0.423078 0.0746001i −0.0419444 0.999120i \(-0.513355\pi\)
−0.381134 + 0.924520i \(0.624466\pi\)
\(402\) −0.0480094 0.00728606i −0.00239449 0.000363396i
\(403\) −0.985106 + 11.2598i −0.0490716 + 0.560891i
\(404\) 5.77756 0.287444
\(405\) 14.9234 13.5016i 0.741547 0.670901i
\(406\) −0.0184939 −0.000917838
\(407\) 1.23367 14.1009i 0.0611508 0.698957i
\(408\) −0.184269 0.0279653i −0.00912267 0.00138449i
\(409\) 8.33076 + 1.46894i 0.411930 + 0.0726343i 0.375773 0.926712i \(-0.377377\pi\)
0.0361568 + 0.999346i \(0.488488\pi\)
\(410\) −0.0109395 + 0.00674443i −0.000540261 + 0.000333083i
\(411\) −2.85543 + 11.7764i −0.140848 + 0.580885i
\(412\) 11.5837 16.5432i 0.570686 0.815024i
\(413\) 0.754524 2.81592i 0.0371277 0.138562i
\(414\) 0.0585299 + 0.258856i 0.00287659 + 0.0127221i
\(415\) 3.49571 10.5421i 0.171597 0.517493i
\(416\) 0.134742 0.370201i 0.00660628 0.0181506i
\(417\) −13.3969 4.51624i −0.656048 0.221161i
\(418\) 0.377882 0.0330604i 0.0184828 0.00161704i
\(419\) 6.72816 + 5.64560i 0.328692 + 0.275806i 0.792167 0.610305i \(-0.208953\pi\)
−0.463475 + 0.886110i \(0.653397\pi\)
\(420\) −0.781828 1.83962i −0.0381493 0.0897641i
\(421\) 0.538899 + 0.196143i 0.0262643 + 0.00955944i 0.355119 0.934821i \(-0.384440\pi\)
−0.328855 + 0.944381i \(0.606663\pi\)
\(422\) −0.0224469 0.0837730i −0.00109270 0.00407800i
\(423\) −7.36045 9.50926i −0.357877 0.462356i
\(424\) 0.610187 0.352292i 0.0296333 0.0171088i
\(425\) 1.78532 8.62824i 0.0866006 0.418531i
\(426\) −0.0936172 + 0.0982063i −0.00453577 + 0.00475811i
\(427\) 2.83827 + 1.32351i 0.137353 + 0.0640489i
\(428\) −24.6170 + 17.2370i −1.18991 + 0.833181i
\(429\) −6.53175 + 14.9296i −0.315356 + 0.720807i
\(430\) −0.308803 + 0.0360290i −0.0148918 + 0.00173747i
\(431\) 25.0117i 1.20477i 0.798205 + 0.602386i \(0.205783\pi\)
−0.798205 + 0.602386i \(0.794217\pi\)
\(432\) −14.4622 14.9179i −0.695812 0.717737i
\(433\) −24.9892 + 24.9892i −1.20090 + 1.20090i −0.227011 + 0.973892i \(0.572895\pi\)
−0.973892 + 0.227011i \(0.927105\pi\)
\(434\) −0.0158618 + 0.0133096i −0.000761390 + 0.000638882i
\(435\) −5.62525 17.2868i −0.269710 0.828840i
\(436\) 4.16812 23.6386i 0.199617 1.13208i
\(437\) 13.9093 29.8287i 0.665374 1.42690i
\(438\) 0.181933 0.333280i 0.00869310 0.0159247i
\(439\) −4.64923 + 0.819785i −0.221896 + 0.0391262i −0.283491 0.958975i \(-0.591492\pi\)
0.0615948 + 0.998101i \(0.480381\pi\)
\(440\) −0.446279 + 0.396989i −0.0212755 + 0.0189257i
\(441\) 0.994657 + 20.7764i 0.0473646 + 0.989352i
\(442\) 0.0558904 0.0149758i 0.00265844 0.000712326i
\(443\) −12.4959 26.7976i −0.593700 1.27319i −0.941938 0.335787i \(-0.890998\pi\)
0.348238 0.937406i \(-0.386780\pi\)
\(444\) −11.1853 0.709507i −0.530829 0.0336717i
\(445\) 6.19473 1.85318i 0.293658 0.0878492i
\(446\) 0.129394 0.154205i 0.00612697 0.00730184i
\(447\) 22.0757 + 25.0660i 1.04414 + 1.18558i
\(448\) −1.86990 + 0.871951i −0.0883447 + 0.0411958i
\(449\) 3.36725 5.83225i 0.158910 0.275241i −0.775566 0.631267i \(-0.782535\pi\)
0.934476 + 0.356026i \(0.115869\pi\)
\(450\) −0.172697 + 0.150390i −0.00814100 + 0.00708947i
\(451\) −0.823409 1.42619i −0.0387728 0.0671565i
\(452\) 15.2161 + 10.6544i 0.715706 + 0.501142i
\(453\) 22.8355 + 12.4656i 1.07291 + 0.585685i
\(454\) −0.0760955 0.209071i −0.00357134 0.00981217i
\(455\) 0.902624 + 0.851936i 0.0423157 + 0.0399394i
\(456\) −0.0666553 0.597025i −0.00312142 0.0279582i
\(457\) −36.1208 3.16016i −1.68966 0.147826i −0.798647 0.601800i \(-0.794450\pi\)
−0.891015 + 0.453974i \(0.850006\pi\)
\(458\) 0.0899006 + 0.0899006i 0.00420078 + 0.00420078i
\(459\) 1.72970 8.99181i 0.0807355 0.419702i
\(460\) 5.23438 + 25.3767i 0.244054 + 1.18319i
\(461\) 16.9825 + 20.2390i 0.790956 + 0.942625i 0.999373 0.0354156i \(-0.0112755\pi\)
−0.208417 + 0.978040i \(0.566831\pi\)
\(462\) −0.0278005 + 0.0108784i −0.00129340 + 0.000506108i
\(463\) 6.89825 + 9.85172i 0.320589 + 0.457848i 0.946808 0.321799i \(-0.104287\pi\)
−0.626219 + 0.779647i \(0.715399\pi\)
\(464\) −17.6368 + 6.41927i −0.818767 + 0.298007i
\(465\) −17.2656 10.7781i −0.800671 0.499824i
\(466\) 0.0733054 + 0.415735i 0.00339581 + 0.0192586i
\(467\) −10.6775 2.86104i −0.494098 0.132393i 0.00316149 0.999995i \(-0.498994\pi\)
−0.497260 + 0.867602i \(0.665660\pi\)
\(468\) 11.9415 + 4.88762i 0.551997 + 0.225930i
\(469\) −0.410442 0.236969i −0.0189525 0.0109422i
\(470\) 0.0816895 + 0.109775i 0.00376805 + 0.00506357i
\(471\) −3.36953 2.24122i −0.155260 0.103270i
\(472\) 0.0601168 + 0.687138i 0.00276710 + 0.0316281i
\(473\) −3.47222 39.6877i −0.159653 1.82484i
\(474\) 0.0733265 0.0363525i 0.00336800 0.00166972i
\(475\) 28.3521 1.63953i 1.30089 0.0752269i
\(476\) −0.787631 0.454739i −0.0361010 0.0208429i
\(477\) 16.1127 + 30.6370i 0.737750 + 1.40277i
\(478\) −0.319711 0.0856663i −0.0146232 0.00391828i
\(479\) −0.735877 4.17337i −0.0336231 0.190686i 0.963370 0.268175i \(-0.0864207\pi\)
−0.996993 + 0.0774895i \(0.975310\pi\)
\(480\) 0.484054 + 0.518626i 0.0220939 + 0.0236719i
\(481\) 6.53967 2.38024i 0.298183 0.108530i
\(482\) −0.0457155 0.0652884i −0.00208228 0.00297381i
\(483\) −0.388649 + 2.56089i −0.0176842 + 0.116525i
\(484\) −10.4582 12.4636i −0.475374 0.566529i
\(485\) −10.3204 + 2.12876i −0.468625 + 0.0966619i
\(486\) −0.177267 + 0.158786i −0.00804100 + 0.00720270i
\(487\) 16.7646 + 16.7646i 0.759676 + 0.759676i 0.976263 0.216587i \(-0.0694925\pi\)
−0.216587 + 0.976263i \(0.569493\pi\)
\(488\) −0.738151 0.0645798i −0.0334145 0.00292339i
\(489\) −21.1634 + 15.5862i −0.957041 + 0.704830i
\(490\) −0.00683498 0.236590i −0.000308773 0.0106880i
\(491\) 0.697417 + 1.91614i 0.0314740 + 0.0864740i 0.954434 0.298421i \(-0.0964599\pi\)
−0.922960 + 0.384895i \(0.874238\pi\)
\(492\) −1.11334 + 0.678795i −0.0501930 + 0.0306024i
\(493\) −6.77556 4.74430i −0.305156 0.213673i
\(494\) 0.0932500 + 0.161514i 0.00419552 + 0.00726685i
\(495\) −18.6244 22.6771i −0.837103 1.01926i
\(496\) −10.5069 + 18.1984i −0.471772 + 0.817133i
\(497\) −1.20016 + 0.559642i −0.0538343 + 0.0251034i
\(498\) −0.0419568 + 0.124460i −0.00188013 + 0.00557718i
\(499\) 8.77600 10.4588i 0.392868 0.468202i −0.532964 0.846138i \(-0.678922\pi\)
0.925832 + 0.377937i \(0.123366\pi\)
\(500\) −17.1362 + 14.3608i −0.766355 + 0.642236i
\(501\) −18.6124 + 27.9826i −0.831541 + 1.25017i
\(502\) −0.0899812 0.192965i −0.00401606 0.00861246i
\(503\) 42.9050 11.4964i 1.91304 0.512597i 0.920487 0.390772i \(-0.127792\pi\)
0.992552 0.121825i \(-0.0388747\pi\)
\(504\) 0.0182760 + 0.0436027i 0.000814078 + 0.00194222i
\(505\) 0.376968 6.44926i 0.0167748 0.286988i
\(506\) 0.381102 0.0671985i 0.0169420 0.00298734i
\(507\) 14.5004 0.346901i 0.643987 0.0154064i
\(508\) −16.4259 + 35.2255i −0.728782 + 1.56288i
\(509\) 0.883595 5.01112i 0.0391647 0.222114i −0.958943 0.283597i \(-0.908472\pi\)
0.998108 + 0.0614836i \(0.0195832\pi\)
\(510\) −0.0216185 + 0.101928i −0.000957281 + 0.00451343i
\(511\) 2.83890 2.38212i 0.125586 0.105379i
\(512\) 0.863214 0.863214i 0.0381490 0.0381490i
\(513\) 29.4377 2.11599i 1.29971 0.0934231i
\(514\) 0.143093i 0.00631155i
\(515\) −17.7107 14.0098i −0.780426 0.617344i
\(516\) −31.3499 + 3.50008i −1.38010 + 0.154083i
\(517\) −14.3634 + 10.0573i −0.631700 + 0.442321i
\(518\) 0.0115547 + 0.00538802i 0.000507682 + 0.000236736i
\(519\) −2.83820 9.66177i −0.124583 0.424105i
\(520\) −0.269627 0.116372i −0.0118239 0.00510326i
\(521\) −14.9219 + 8.61518i −0.653742 + 0.377438i −0.789888 0.613251i \(-0.789862\pi\)
0.136146 + 0.990689i \(0.456528\pi\)
\(522\) 0.0655064 + 0.204754i 0.00286714 + 0.00896184i
\(523\) −3.45799 12.9054i −0.151207 0.564314i −0.999400 0.0346265i \(-0.988976\pi\)
0.848193 0.529688i \(-0.177691\pi\)
\(524\) −8.58116 3.12329i −0.374870 0.136441i
\(525\) −2.10450 + 0.752693i −0.0918479 + 0.0328502i
\(526\) −0.117374 0.0984884i −0.00511775 0.00429430i
\(527\) −9.22560 + 0.807135i −0.401873 + 0.0351594i
\(528\) −22.7362 + 20.0238i −0.989465 + 0.871424i
\(529\) 3.61738 9.93866i 0.157277 0.432116i
\(530\) −0.176708 0.352036i −0.00767569 0.0152915i
\(531\) −33.8488 + 1.62049i −1.46891 + 0.0703233i
\(532\) 0.758707 2.83153i 0.0328941 0.122762i
\(533\) 0.464412 0.663249i 0.0201159 0.0287285i
\(534\) −0.0733640 + 0.0215511i −0.00317477 + 0.000932607i
\(535\) 17.6348 + 28.6036i 0.762417 + 1.23664i
\(536\) 0.110432 + 0.0194722i 0.00476995 + 0.000841071i
\(537\) −10.3366 + 12.9347i −0.446055 + 0.558173i
\(538\) 0.00246001 0.0281180i 0.000106058 0.00121225i
\(539\) 30.3299 1.30640
\(540\) −17.5979 + 15.1720i −0.757293 + 0.652897i
\(541\) 7.10549 0.305489 0.152745 0.988266i \(-0.451189\pi\)
0.152745 + 0.988266i \(0.451189\pi\)
\(542\) 0.0186372 0.213024i 0.000800535 0.00915016i
\(543\) −8.75888 22.3840i −0.375879 0.960589i
\(544\) 0.317883 + 0.0560513i 0.0136291 + 0.00240318i
\(545\) −26.1148 6.19505i −1.11864 0.265367i
\(546\) −0.0106239 0.0101275i −0.000454661 0.000433415i
\(547\) −5.89172 + 8.41425i −0.251912 + 0.359767i −0.925113 0.379692i \(-0.876030\pi\)
0.673201 + 0.739459i \(0.264919\pi\)
\(548\) 3.62103 13.5139i 0.154683 0.577283i
\(549\) 4.59979 36.1116i 0.196314 1.54120i
\(550\) 0.207000 + 0.262017i 0.00882651 + 0.0111725i
\(551\) 9.11839 25.0526i 0.388456 1.06728i
\(552\) −0.120826 0.600828i −0.00514269 0.0255730i
\(553\) 0.795750 0.0696191i 0.0338387 0.00296050i
\(554\) −0.212691 0.178469i −0.00903636 0.00758240i
\(555\) −1.52180 + 12.4393i −0.0645967 + 0.528021i
\(556\) 15.3384 + 5.58274i 0.650495 + 0.236761i
\(557\) −1.48759 5.55174i −0.0630310 0.235235i 0.927223 0.374511i \(-0.122189\pi\)
−0.990254 + 0.139276i \(0.955523\pi\)
\(558\) 0.203540 + 0.128469i 0.00861652 + 0.00543853i
\(559\) 16.9632 9.79373i 0.717468 0.414230i
\(560\) 0.851516 + 2.14469i 0.0359831 + 0.0906297i
\(561\) −12.9759 3.14628i −0.547841 0.132836i
\(562\) 0.363321 + 0.169419i 0.0153258 + 0.00714652i
\(563\) −20.2152 + 14.1548i −0.851969 + 0.596555i −0.915903 0.401399i \(-0.868524\pi\)
0.0639343 + 0.997954i \(0.479635\pi\)
\(564\) 8.23311 + 11.1792i 0.346676 + 0.470728i
\(565\) 12.8859 16.2900i 0.542114 0.685323i
\(566\) 0.280047i 0.0117713i
\(567\) −2.17590 + 0.812749i −0.0913792 + 0.0341322i
\(568\) 0.221549 0.221549i 0.00929600 0.00929600i
\(569\) −1.46173 + 1.22654i −0.0612790 + 0.0514192i −0.672913 0.739722i \(-0.734957\pi\)
0.611634 + 0.791141i \(0.290513\pi\)
\(570\) −0.335372 + 0.0177243i −0.0140472 + 0.000742389i
\(571\) −7.82276 + 44.3651i −0.327372 + 1.85662i 0.165080 + 0.986280i \(0.447212\pi\)
−0.492452 + 0.870340i \(0.663899\pi\)
\(572\) 7.95143 17.0519i 0.332466 0.712976i
\(573\) 10.7096 + 17.5655i 0.447401 + 0.733811i
\(574\) 0.00146075 0.000257569i 6.09704e−5 1.07507e-5i
\(575\) 28.6685 4.18717i 1.19556 0.174617i
\(576\) 16.2770 + 17.6140i 0.678210 + 0.733917i
\(577\) −21.9121 + 5.87132i −0.912211 + 0.244426i −0.684253 0.729245i \(-0.739872\pi\)
−0.227958 + 0.973671i \(0.573205\pi\)
\(578\) −0.0896482 0.192251i −0.00372888 0.00799660i
\(579\) 9.31423 + 18.7877i 0.387086 + 0.780791i
\(580\) 6.01552 + 20.1084i 0.249781 + 0.834956i
\(581\) −0.823988 + 0.981990i −0.0341848 + 0.0407398i
\(582\) 0.122168 0.0245678i 0.00506402 0.00101837i
\(583\) 45.7460 21.3317i 1.89461 0.883469i
\(584\) −0.438419 + 0.759364i −0.0181419 + 0.0314227i
\(585\) 6.23500 13.0109i 0.257785 0.537936i
\(586\) −0.0802204 0.138946i −0.00331387 0.00573980i
\(587\) 7.01492 + 4.91190i 0.289537 + 0.202736i 0.709316 0.704890i \(-0.249004\pi\)
−0.419780 + 0.907626i \(0.637893\pi\)
\(588\) −0.574363 24.0083i −0.0236863 0.990086i
\(589\) −10.2091 28.0493i −0.420659 1.15575i
\(590\) 0.385451 0.0111355i 0.0158688 0.000458442i
\(591\) −9.43335 4.12712i −0.388036 0.169767i
\(592\) 12.8893 + 1.12767i 0.529748 + 0.0463469i
\(593\) −4.26261 4.26261i −0.175044 0.175044i 0.614147 0.789192i \(-0.289500\pi\)
−0.789192 + 0.614147i \(0.789500\pi\)
\(594\) 0.218910 + 0.269260i 0.00898199 + 0.0110479i
\(595\) −0.558997 + 0.849530i −0.0229166 + 0.0348273i
\(596\) −24.7884 29.5417i −1.01537 1.21007i
\(597\) −7.57011 6.04953i −0.309824 0.247591i
\(598\) 0.109131 + 0.155855i 0.00446269 + 0.00637338i
\(599\) −13.5981 + 4.94929i −0.555602 + 0.202223i −0.604534 0.796580i \(-0.706641\pi\)
0.0489318 + 0.998802i \(0.484418\pi\)
\(600\) 0.406995 0.337654i 0.0166155 0.0137847i
\(601\) −2.11215 11.9786i −0.0861565 0.488618i −0.997101 0.0760891i \(-0.975757\pi\)
0.910944 0.412529i \(-0.135354\pi\)
\(602\) 0.0346604 + 0.00928722i 0.00141265 + 0.000378519i
\(603\) −1.16977 + 5.38353i −0.0476369 + 0.219234i
\(604\) −26.0133 15.0188i −1.05847 0.611107i
\(605\) −14.5950 + 10.8609i −0.593371 + 0.441557i
\(606\) −0.00483627 + 0.0762430i −0.000196460 + 0.00309716i
\(607\) 1.69592 + 19.3845i 0.0688354 + 0.786792i 0.949646 + 0.313324i \(0.101443\pi\)
−0.880811 + 0.473468i \(0.843002\pi\)
\(608\) 0.0906769 + 1.03644i 0.00367743 + 0.0420333i
\(609\) −0.132826 + 2.09398i −0.00538238 + 0.0848522i
\(610\) −0.0601214 + 0.409853i −0.00243424 + 0.0165945i
\(611\) −7.46602 4.31051i −0.302043 0.174384i
\(612\) −2.24478 + 10.3309i −0.0907397 + 0.417602i
\(613\) −13.0162 3.48768i −0.525720 0.140866i −0.0138088 0.999905i \(-0.504396\pi\)
−0.511911 + 0.859038i \(0.671062\pi\)
\(614\) 0.0339541 + 0.192563i 0.00137027 + 0.00777121i
\(615\) 0.685070 + 1.28706i 0.0276247 + 0.0518993i
\(616\) 0.0647813 0.0235785i 0.00261011 0.000950003i
\(617\) 26.0454 + 37.1967i 1.04855 + 1.49748i 0.856535 + 0.516090i \(0.172613\pi\)
0.192014 + 0.981392i \(0.438498\pi\)
\(618\) 0.208614 + 0.166711i 0.00839169 + 0.00670608i
\(619\) 0.765342 + 0.912099i 0.0307617 + 0.0366604i 0.781206 0.624273i \(-0.214605\pi\)
−0.750444 + 0.660934i \(0.770160\pi\)
\(620\) 19.6309 + 12.9173i 0.788396 + 0.518770i
\(621\) 29.7293 4.76791i 1.19300 0.191330i
\(622\) −0.226747 0.226747i −0.00909171 0.00909171i
\(623\) −0.743449 0.0650434i −0.0297857 0.00260591i
\(624\) −13.6468 5.97052i −0.546309 0.239012i
\(625\) 14.9123 + 20.0654i 0.596493 + 0.802618i
\(626\) 0.154339 + 0.424042i 0.00616861 + 0.0169481i
\(627\) −1.02927 43.0232i −0.0411049 1.71818i
\(628\) 3.82734 + 2.67993i 0.152728 + 0.106941i
\(629\) 2.85104 + 4.93815i 0.113678 + 0.196897i
\(630\) 0.0249308 0.00877740i 0.000993265 0.000349700i
\(631\) 10.8669 18.8220i 0.432605 0.749293i −0.564492 0.825438i \(-0.690928\pi\)
0.997097 + 0.0761454i \(0.0242613\pi\)
\(632\) −0.171290 + 0.0798737i −0.00681354 + 0.00317721i
\(633\) −9.64642 + 1.93988i −0.383411 + 0.0771034i
\(634\) −0.260588 + 0.310556i −0.0103493 + 0.0123338i
\(635\) 38.2490 + 20.6339i 1.51787 + 0.818833i
\(636\) −17.7519 35.8073i −0.703908 1.41985i
\(637\) 6.30211 + 13.5149i 0.249699 + 0.535481i
\(638\) 0.302790 0.0811322i 0.0119876 0.00321206i
\(639\) 10.4470 + 11.3051i 0.413279 + 0.447225i
\(640\) −0.725841 0.815962i −0.0286914 0.0322537i
\(641\) 11.0540 1.94912i 0.436606 0.0769855i 0.0489751 0.998800i \(-0.484405\pi\)
0.387631 + 0.921815i \(0.373293\pi\)
\(642\) −0.206860 0.339284i −0.00816410 0.0133905i
\(643\) 10.0815 21.6198i 0.397575 0.852602i −0.601001 0.799248i \(-0.705231\pi\)
0.998576 0.0533535i \(-0.0169910\pi\)
\(644\) 0.519308 2.94514i 0.0204636 0.116055i
\(645\) 1.86152 + 35.2230i 0.0732973 + 1.38690i
\(646\) −0.117057 + 0.0982222i −0.00460553 + 0.00386450i
\(647\) 17.7336 17.7336i 0.697179 0.697179i −0.266622 0.963801i \(-0.585908\pi\)
0.963801 + 0.266622i \(0.0859076\pi\)
\(648\) 0.418010 0.356785i 0.0164210 0.0140158i
\(649\) 49.4134i 1.93965i
\(650\) −0.0737426 + 0.146682i −0.00289242 + 0.00575334i
\(651\) 1.39306 + 1.89154i 0.0545984 + 0.0741355i
\(652\) 24.8579 17.4057i 0.973511 0.681660i
\(653\) −16.5274 7.70684i −0.646766 0.301592i 0.0714165 0.997447i \(-0.477248\pi\)
−0.718183 + 0.695855i \(0.755026\pi\)
\(654\) 0.308455 + 0.0747915i 0.0120616 + 0.00292458i
\(655\) −4.04629 + 9.37501i −0.158102 + 0.366312i
\(656\) 1.30364 0.752659i 0.0508987 0.0293864i
\(657\) −36.4290 22.9931i −1.42123 0.897045i
\(658\) −0.00408758 0.0152550i −0.000159350 0.000594704i
\(659\) −32.1808 11.7129i −1.25359 0.456269i −0.371975 0.928243i \(-0.621319\pi\)
−0.881612 + 0.471974i \(0.843542\pi\)
\(660\) 20.8707 + 26.6891i 0.812392 + 1.03887i
\(661\) 3.43935 + 2.88596i 0.133775 + 0.112251i 0.707220 0.706993i \(-0.249949\pi\)
−0.573445 + 0.819244i \(0.694393\pi\)
\(662\) −0.151210 + 0.0132291i −0.00587693 + 0.000514165i
\(663\) −1.29422 6.43575i −0.0502634 0.249944i
\(664\) 0.103736 0.285012i 0.00402573 0.0110606i
\(665\) −3.11122 1.03166i −0.120648 0.0400061i
\(666\) 0.0187259 0.147011i 0.000725613 0.00569656i
\(667\) 7.03946 26.2716i 0.272569 1.01724i
\(668\) 22.2558 31.7846i 0.861103 1.22978i
\(669\) −16.5306 15.7581i −0.639110 0.609245i
\(670\) 0.0144698 0.0609967i 0.000559019 0.00235651i
\(671\) −52.2754 9.21756i −2.01807 0.355840i
\(672\) −0.0298368 0.0762502i −0.00115098 0.00294142i
\(673\) 1.31952 15.0821i 0.0508636 0.581374i −0.927409 0.374050i \(-0.877969\pi\)
0.978272 0.207324i \(-0.0664755\pi\)
\(674\) −0.214165 −0.00824933
\(675\) 15.7876 + 20.6337i 0.607666 + 0.794193i
\(676\) −16.7465 −0.644096
\(677\) 0.848465 9.69800i 0.0326092 0.372724i −0.962303 0.271979i \(-0.912322\pi\)
0.994912 0.100745i \(-0.0321227\pi\)
\(678\) −0.153337 + 0.191879i −0.00588888 + 0.00736908i
\(679\) 1.19775 + 0.211196i 0.0459656 + 0.00810497i
\(680\) 0.0555380 0.234117i 0.00212978 0.00897797i
\(681\) −24.2186 + 7.11435i −0.928058 + 0.272622i
\(682\) 0.201306 0.287495i 0.00770842 0.0110088i
\(683\) −6.02595 + 22.4891i −0.230577 + 0.860523i 0.749517 + 0.661985i \(0.230286\pi\)
−0.980093 + 0.198538i \(0.936381\pi\)
\(684\) −34.0365 + 1.62948i −1.30142 + 0.0623045i
\(685\) −14.8487 4.92374i −0.567340 0.188126i
\(686\) −0.0187764 + 0.0515877i −0.000716886 + 0.00196963i
\(687\) 10.8247 9.53332i 0.412987 0.363719i
\(688\) 36.2776 3.17388i 1.38307 0.121003i
\(689\) 19.0107 + 15.9519i 0.724249 + 0.607717i
\(690\) −0.339262 + 0.0478326i −0.0129155 + 0.00182096i
\(691\) −4.24724 1.54587i −0.161573 0.0588077i 0.259968 0.965617i \(-0.416288\pi\)
−0.421540 + 0.906810i \(0.638510\pi\)
\(692\) 3.00916 + 11.2303i 0.114391 + 0.426913i
\(693\) 1.03204 + 3.22585i 0.0392039 + 0.122540i
\(694\) 0.0807256 0.0466069i 0.00306430 0.00176918i
\(695\) 7.23256 16.7574i 0.274347 0.635645i
\(696\) −0.139920 0.476314i −0.00530365 0.0180546i
\(697\) 0.601245 + 0.280365i 0.0227738 + 0.0106196i
\(698\) −0.0478038 + 0.0334725i −0.00180940 + 0.00126695i
\(699\) 47.5982 5.31414i 1.80033 0.200999i
\(700\) 2.44987 0.810673i 0.0925965 0.0306405i
\(701\) 28.3612i 1.07119i −0.844476 0.535593i \(-0.820088\pi\)
0.844476 0.535593i \(-0.179912\pi\)
\(702\) −0.0744950 + 0.153494i −0.00281163 + 0.00579325i
\(703\) −12.9958 + 12.9958i −0.490147 + 0.490147i
\(704\) 26.7896 22.4791i 1.00967 0.847214i
\(705\) 13.0160 8.46087i 0.490213 0.318655i
\(706\) −0.00590457 + 0.0334865i −0.000222221 + 0.00126028i
\(707\) −0.315116 + 0.675769i −0.0118512 + 0.0254149i
\(708\) 39.1142 0.935750i 1.47000 0.0351676i
\(709\) 27.9978 4.93677i 1.05148 0.185404i 0.378907 0.925435i \(-0.376300\pi\)
0.672574 + 0.740030i \(0.265189\pi\)
\(710\) −0.116419 0.130873i −0.00436911 0.00491158i
\(711\) −3.58937 8.56349i −0.134612 0.321156i
\(712\) 0.170559 0.0457011i 0.00639196 0.00171272i
\(713\) −12.8695 27.5987i −0.481966 1.03358i
\(714\) 0.00666022 0.0100132i 0.000249253 0.000374736i
\(715\) −18.5155 9.98844i −0.692442 0.373546i
\(716\) 12.2880 14.6443i 0.459224 0.547282i
\(717\) −11.9958 + 35.5840i −0.447991 + 1.32891i
\(718\) 0.163281 0.0761394i 0.00609361 0.00284150i
\(719\) 8.97949 15.5529i 0.334878 0.580026i −0.648583 0.761144i \(-0.724638\pi\)
0.983461 + 0.181118i \(0.0579714\pi\)
\(720\) 20.7286 17.0241i 0.772511 0.634451i
\(721\) 1.30318 + 2.25717i 0.0485328 + 0.0840612i
\(722\) −0.165843 0.116124i −0.00617202 0.00432170i
\(723\) −7.72062 + 4.70723i −0.287133 + 0.175064i
\(724\) 9.49171 + 26.0783i 0.352757 + 0.969191i
\(725\) 22.8387 5.40287i 0.848207 0.200658i
\(726\) 0.173229 0.127578i 0.00642914 0.00473486i
\(727\) 28.2887 + 2.47494i 1.04917 + 0.0917905i 0.598678 0.800990i \(-0.295693\pi\)
0.450492 + 0.892780i \(0.351249\pi\)
\(728\) 0.0239671 + 0.0239671i 0.000888279 + 0.000888279i
\(729\) 16.7054 + 21.2115i 0.618720 + 0.785612i
\(730\) 0.409497 + 0.269452i 0.0151562 + 0.00997286i
\(731\) 10.3159 + 12.2941i 0.381549 + 0.454712i
\(732\) −6.30641 + 41.5542i −0.233092 + 1.53589i
\(733\) 5.80448 + 8.28966i 0.214393 + 0.306185i 0.911916 0.410378i \(-0.134603\pi\)
−0.697522 + 0.716563i \(0.745714\pi\)
\(734\) −0.0304169 + 0.0110708i −0.00112271 + 0.000408632i
\(735\) −26.8370 0.925328i −0.989897 0.0341313i
\(736\) 0.184310 + 1.04527i 0.00679374 + 0.0385292i
\(737\) 7.75949 + 2.07915i 0.285825 + 0.0765865i
\(738\) −0.00802570 0.0152602i −0.000295430 0.000561736i
\(739\) −35.8294 20.6861i −1.31801 0.760951i −0.334598 0.942361i \(-0.608601\pi\)
−0.983408 + 0.181410i \(0.941934\pi\)
\(740\) 2.10000 14.3159i 0.0771977 0.526264i
\(741\) 18.9571 9.39823i 0.696408 0.345252i
\(742\) 0.00396233 + 0.0452897i 0.000145462 + 0.00166264i
\(743\) 0.674496 + 7.70953i 0.0247449 + 0.282835i 0.998478 + 0.0551445i \(0.0175620\pi\)
−0.973734 + 0.227691i \(0.926882\pi\)
\(744\) −0.462798 0.307826i −0.0169670 0.0112855i
\(745\) −34.5935 + 25.7428i −1.26741 + 0.943142i
\(746\) −0.0438849 0.0253370i −0.00160674 0.000927653i
\(747\) 13.7906 + 5.64445i 0.504573 + 0.206520i
\(748\) 14.8903 + 3.98985i 0.544444 + 0.145883i
\(749\) −0.673470 3.81944i −0.0246080 0.139559i
\(750\) −0.175167 0.238157i −0.00639619 0.00869628i
\(751\) −38.8916 + 14.1554i −1.41918 + 0.516537i −0.933808 0.357773i \(-0.883536\pi\)
−0.485367 + 0.874311i \(0.661314\pi\)
\(752\) −9.19318 13.1292i −0.335241 0.478773i
\(753\) −22.4948 + 8.80223i −0.819755 + 0.320771i
\(754\) 0.0990675 + 0.118064i 0.00360782 + 0.00429964i
\(755\) −18.4622 + 28.0577i −0.671907 + 1.02112i
\(756\) 2.53394 0.878020i 0.0921587 0.0319333i
\(757\) −10.7021 10.7021i −0.388975 0.388975i 0.485347 0.874322i \(-0.338693\pi\)
−0.874322 + 0.485347i \(0.838693\pi\)
\(758\) −0.239740 0.0209745i −0.00870775 0.000761830i
\(759\) −4.87143 43.6329i −0.176822 1.58377i
\(760\) 0.775221 0.0223958i 0.0281202 0.000812382i
\(761\) 16.8761 + 46.3666i 0.611756 + 1.68079i 0.726308 + 0.687370i \(0.241235\pi\)
−0.114551 + 0.993417i \(0.536543\pi\)
\(762\) −0.451100 0.246249i −0.0163416 0.00892067i
\(763\) 2.53754 + 1.77680i 0.0918651 + 0.0643246i
\(764\) −11.8764 20.5705i −0.429673 0.744215i
\(765\) 11.3855 + 3.17981i 0.411644 + 0.114966i
\(766\) 0.210244 0.364154i 0.00759643 0.0131574i
\(767\) −22.0185 + 10.2674i −0.795040 + 0.370733i
\(768\) −18.2947 20.7729i −0.660155 0.749578i
\(769\) 4.55804 5.43206i 0.164367 0.195885i −0.677574 0.735455i